Practice with the help of enVision Math Common Core Grade 2 Answer Key Topic 8 Work with Time and Money regularly and improve your accuracy in solving questions.

enVision Math Common Core 2nd Grade Answers Key Topic 8 Work with Time and Money

Essential Question:
How can you solve problems about counting money or telling time to the nearest 5 minutes?

enVision STEM Project: Money Matters
Find Out Collect examples of different types of coins and dollar bills. Describe how different coins and bills look and feel. Sort the money by size, color, and whether or not you can bend it.
Journal: Make a Book Show what you find out in a book. In your book, also:

• Tell how different types of coins are alike. Tell how they are different.
• Show as many different ways as you can to make 25¢.

Review What You Know

Vocabulary
Question 1.
Draw the hands to show 8 o’clock.

Answer:

The hands in the above clock shows 8 o’clock.
Explanation:
Clocks have 2 hands one is a little hand and other is a big hand. The little hand marks the hour. The bigger hand marks the minutes. Whichever number it’s pointing to is the hour of the day. Here the little hand is pointing to “8” it’s in the 8 o’clock hour.

Question 2.
Circle the number of minutes in one hour.
30 minutes
50 minutes
60 minutes
Answer:

There are 60 minutes in one hour.
Explanation:
A minute is a unit of time. The symbol for minute is min. There are 60 minutes in an hour.

Question 3.
Write the time below to the half hour.

Answer:
In the above clock we can see the time as 3 : 30 means 3hours 30 minutes.
Explanation:
A minute and hours are unit of time. The symbol for minute is min and for hour is hr. There are 60 minutes in an hour. There are 30 minutes in an half hour. The above clock shows the time as 3 : 30. It can be written as 3 hours 30 minutes.

Doubles Facts
Question 4.
Write each sum.
7 + 7 = ________
9 + 9 = ________
10 + 10 = ________
Doubles facts are fun.
Answer:
7 + 7 = 14
9 + 9 = 18
10 + 10 = 20
Explanation:
“Double facts” are additions in which a number is added to itself. Here seven is added to seven then we got fourteen. Nine is added to nine then we got eighteen. Next ten is added to ten then we got twenty.

Array
Question 5.
Use mental math.
How many squares are in the array?

_________ squares
Answer:
5 x 5 = 25
There are 25 squares in the array.
Explanation:
In the above image we can observe some squares. There are 5 rows and 5 columns. Multiply 5 rows of squares with 5 columns of squares. Then we got 25 squares. There are 25 squares in the array.

Math Story
Question 6.
Some pennies are in a cup. Jan takes out 22 of the pennies.
Now, 14 pennies are left in the cup. How many pennies were in the cup at the start?
_________ pennies
Answer:
Some pennies are in a cup. Jan takes out 22 of the pennies. Now, 14 pennies are left in the cup.
? – 22 = 14
? = 14 + 22
14 + 22 = 36
There are 36 pennies were in the cup at the start.
Explanation:
Some pennies are in a cup. Jan takes out 22 of the pennies. Now, 14 pennies are left in the cup. Add 14 pennies with 22 pennies then we got 36 pennies. At the start there are 36 pennies were in the cup.

Pick a Project

PROJECT 8A
What does a train schedule show?
Project: Make a Train Schedule Poster

PROJECT 8B
How much do things cost?
Project: Create an Advertisement

PROJECT 8C
Do you have the same schedule every day?
Project: Write a Daily Journal

PROJECT 8D
What would you sell if you ran your own store?
Project: Set Up a Store

Lesson 8.1 Solve Problems with Coins

Solve & Share
Kelsey had 10 cents in her piggybank. She finds 5 cents more and puts it in her bank. Then Kelsey’s mother gives her 20 cents to put in her bank. How many cents does Kelsey have in her bank now?
I can … solve problems with coins.

Answer:

Now Kelsey have 35 cents in her bank.
Explanation:
Kelsey had 10 cents in her piggybank. She finds 5 cents more and puts it in her bank. Then Kelsey’s mother gives her 20 cents to put in her bank. Add 10 cents with 5 cents and 20 cents then we get 35 cents. Now Kelsey have 35 cents in her bank.

Visual Learning Bridge

Convince Me! How many quarters have the same value as a half-dollar?
How many dimes have the same value as a half-dollar?
How many cents would Micah have if he didn’t have the half-dollar?
Answer:
1 quarter = 25￠
2 quarters = 50￠
Half-dollar = 50￠
2 quarters have the same value as a half-dollar.

1 dime = 10￠
5 dimes = 50￠
Half-dollar = 50￠
5 dimes have the same value as a half-dollar.

Micah would have 50 cents if he didn’t have the half-dollar.

Guided Practice

Count on to find each total value.
Question 1.
Li has these coins. How many cents does Li have?

Answer:

Li has 31￠.
Explanation:
Li has some coins. In the above image we can observe some coins. In that first coin is 10 cents, second coin is 10 cents, third coin is 5 cents, fourth coin is also 5 cents, fifth coin is 1 cent. By adding these coins value then we got 31 cents.

Question 2.
Manny has these coins. How many cents does Manny have?

Answer:

Manny have 86￠.
Explanation:
Manny have some coins. In the above image we can observe some coins. In that first coin is 50 cents, second coin is 25 cents, third coin is 10 cents, fourth coin is 1 cent. By adding these coins value then we got 86 cents.

Independent Practice

Count on to find each total value.

Question 3.
Jan has these coins. How many cents does Jan have?

Answer:

Jan have 20￠.
Explanation:
Jan have some coins. In the above image we can observe some coins. In that first coin is 5 cents, second coin is 5 cents, third coin is 5 cents, fourth coin is 5 cent. By adding these coins value then we got 20 cents.

Question 4.
Tim has these coins. How many cents does Tim have?

Answer:

Tim have 42￠.
Explanation:
Tim have some coins. In the above image we can observe some coins. In that first coin is 25 cents, second coin is 10 cents, third coin is 5 cents, fourth coin is 1 cent and fifth coin is 1 cent. By adding these coins value then we got 42 cents.

Question 5.
Manny has these coins. How many cents does Manny have?

Answer:

Manny have 60￠.
Explanation:
Manny  have some coins. In the above image we can observe some coins. In that first coin is 10 cents, second coin is 10 cents, third coin is 10 cents, fourth coin is 10 cent and fifth coin is 10 cents, sixth coin is 10 cents. By adding these coins value then we got 60 cents.

Question 6.
Algebra Stacey had 92¢ this morning. Write the name of the coin she lost.

Answer:

She lost the coin Nickel.
Explanation:
Algebra Stacey had 92¢ this morning. She has some coins as we can observe in the above image. She has one half-dollar is equal to 50¢, one quarter is equal to 25¢, one dime is equal to 10¢ and 2 pennies is equal to 2¢. Add these coins value. Add 50¢ with 25¢,10¢ and 2¢ then the sum is 87¢. Subtract 87¢ from 92¢ then the difference is 5¢. The missing coin in the above image is nickel. One nickel is equal to 5¢.

Problem Solving

Solve each problem below.
Question 7.
Explain Tori has 2 quarters, 1 dime, and 1 nickel. How many cents does Tori have? Show how you found your answer.
Answer:
Here Tori has 2 quarters, 1 dime and 1 nickel.

1 quarter = 25￠
2 quarters = 50￠
1 dime = 10￠
1 nickel = 5￠
Tori have 65￠.
Explanation:
Tori has 2 quarters, 1 dime, and 1 nickel. Here we have to add 50￠with 10￠and 5￠then we got 65￠. Tori have 65￠.

Question 8.
Higher Order Thinking Write a story about what coins you could use to buy an orange for 60¢.
Answer:
Ram have some coins. He has 2 quarters, 1 dime, 1 nickel and 1 penny. what coins he could use to buy an orange for 60¢.

He can use 2 quarters and 1 dime to buy an orange for 60￠.
Explanation:
Ram have some coins. He has 2 quarters, 1 dime, 1 nickel and 1 penny. He used 2 quarters and 1 dime to buy an orange for 60￠.Here 2 quarters value is 50￠ and 1 dime value is 10￠.

Question 9.
Assessment Practice Lucas has these coins.

He is buying a gift for his brother. If he had one more nickel, which item would he have exactly enough money to buy?

Answer:

Explanation:
Lucas has some coins. The coins value is 36 cents. He is buying a gift for his brother. If he had one more nickel then his coins value is will increase. 36cents plus 5 cents is equal to 41 cents. He has enough money to buy a item which was in option A.

Question 10.
Assessment Practice Jamie has 31¢. Which shows 31¢? Choose all that apply.

Answer:

Jamie has 31￠.
Explanation:
In the above image we can observe some coins. Here Jamie has 31￠. Here we have to find which option have 31￠. First option coins value is 30￠and second option coins value is 31￠,third option coins value is 31￠,fourth option coins value is 51￠. So option 2 and 3 are correct because they have 31￠.

Lesson 8.2 Continue to Solve Problems with Coins

Solve & Share
Grace has 40 cents. She gives Barry 24 cents. What coins could Grace have to start? How many cents does Grace have left? Explain.
I can … solve problems with coins.
Answer:

Grace has 40 cents. She gives Barry 24 cents.
40 – 24 = ?
40 – 24 = 16
Grace have left with 16 cents.
Explanation:
Grace has 40 cents. She gives Barry 24 cents. So Subtract 24 cents from 40 cents then we got 16 cents. Grace have to start with these coins one is quarter and one is dime, one is nickel.

Visual Learning Bridge

Convince Me! Why is subtracting 75¢ – 68¢ like subtracting 75 – 68? Explain.

Guided Practice

Solve each problem. Show your work.
Question 1.
Dora had some money in her pocket. She went to the mall and spent 3 dimes. Now Dora has 34¢. How much money was in her pocket before she went to the mall?

Answer:
Before she went to the mall she has 64¢ in her pocket.
Explanation:
Dora had some money in her pocket. She went to the mall and spent 3 dimes. Now Dora has 34¢. So add 30¢ with 34¢ then we got 64¢. Before she went to the mall she has 64¢ in her pocket.

Question 2.
Peter has 58¢. His brother gave him 2 nickels and 3 pennies. How much money does Peter have now?
_______ ¢
Answer:
1 nickel = 5¢
2 nickels = 10¢
1 penny = 1¢
3 pennies = 3¢
Peter has 58¢. His brother gave him 2 nickels and 3 pennies.
58¢ + 10¢ + 3¢ = ?
58¢ + 10¢ + 3¢ = 71¢
Now Peter have 71¢.
Explanation:
Peter has 58¢. His brother gave him 2 nickels and 3 pennies. Here 2 nickels value is equal to 10¢ and 3 pennies value is equal to 3¢. Add 58¢ with 10¢ and 3¢ then we get 71¢. Now Peter have 71¢.

Independent Practice

Solve each problem. Show your work.
Question 3.
Marco buys an apple for 42¢. He pays with 4 dimes and I nickel. How much change should Marco get?
Answer:
1 dime = 10¢
4 dimes = 40 ¢
1 nickel = 5¢
Marco buys an apple for 42¢. He pays with 4 dimes and I nickel.
40¢ + 5¢ = 45¢
45¢ – 42¢ = 3¢
Macro get 3¢ back.
Explanation:
Marco buys an apple for 42¢. He pays with 4 dimes and I nickel. Here 4 dimes value is equal to 40¢ and 1 nickel value is equal to 5¢. He payed 4 dimes and 1 nickel. So add 40¢ with 5 ¢ it results 45¢. Macro buys apples for 42¢. So subtract 42¢ from 45¢ then he got 3¢. Macro get 3¢ back.

Question 4.
Trina buys a ring. She pays for it with 9 dimes. She receives 8 pennies in change. How much does the ring cost?
Answer:
1 dime = 10￠
9 dimes = 90￠
1 penny = 1￠
8 pennies = 8￠
90￠ – 8￠ = ?
90￠ – 8￠ = 82￠
The ring cost is 82￠.
Explanation:
Trina buys a ring. She pays for it with 9 dimes. Here 9 dimes value is equal to 90￠. She receives 8 pennies in change. Here 8 pennies value is equal to 8￠. So subtract 8￠ from 90￠ which results 82￠. The ring cost is 82￠.

Question 5.
How many dimes have the same value as 2 quarters?
________ dimes
a half-dollar? _______ dimes
a dollar? _________ dimes
Answer:
1 quarter = 25￠
2 quarters = 50￠
1 dime = 10￠
2 quarters = 5 dimes 
a half-dollar = 5 dimes
a dollar = 10 dimes

Question 6.
How many pennies have the same value as
a nickel? _________ pennies
a dime? _________ pennies
a quarter? _________ pennies
a dollar? ________ pennies
Answer:
1 penny = 1￠
1 nickel = 5￠
1 dime = 10￠
1 quarter = 25￠
half-dollar = 50￠
dollar = 100￠
a nickel = 5 pennies
a dime = 10 pennies
a quarter = 25 pennies
a dollar = 100 pennies

Question 7.
Number Sense What 5 coins have a total value of a quarter? Draw the coins. Label the value of each coin.
Answer:

The five coins of nickel have a total value of a quarter.
1nickel = 5￠
5￠ + 5￠ +5￠ + 5￠ + 5￠ = 25￠
Explanation:
The five coins of nickel have a total value of a quarter. Five nickels is equal to 25￠. One quarter value is equal to 25￠.

Problem Solving

Solve each problem.
Question 8.
enVision® STEM Greg’s science class wants to sort these coins by their color. What is the total value of the silver coins?

______ ¢
Answer:

The total value of silver coins is 50￠+ 25￠ = 75￠.
Explanation:
Greg’s science class wants to sort these coins by their color. They have to find the value of silver coins. Here first two coins are silver coins. Add the two silver coins value. Add 50￠with 25￠ then we got 75￠.The total value of silver coins is 75￠.

Question 9.
Model Rodney buys a banana for 43¢ and an orange for 37¢. Draw the fewest number of coins to show how Rodney could pay for the fruit.
Answer:

Question 10.
Higher Order Thinking Ella has 4 dimes and 15 pennies. Marie has 3 quarters. Ella says she has more money because she has more coins. Is Ella correct? Explain.
Answer:
1 dime = 10¢
4 dimes = 40¢
1 penny = 1 ¢
15 pennies = 15¢
Ella has 4 dimes and 15 pennies.
40¢ +15¢ = ?
40¢ + 15¢ = 55¢
Ella has 55¢.
Marie has 3 quarters.
1 quarter = 25¢
3 quarters = 75¢
Marie has 75¢.
Ella has 55¢ and Marie has 75¢. So Ella is not correct because Marie has more money.
Explanation:
Ella has 4 dimes and 15 pennies. Add 40¢ with 15¢ which results 55¢. Marie has 3 quarters. Here 3 quarters value is equal to 75¢. Ella has 55¢ and Marie has 75¢. So Ella is not correct because Marie has more money.

Question 11.
Assessment Practice Lydia buys a toy car for 59¢. She pays with 6 dimes. Which shows how much change Lydia should get?

Answer:

option A is correct.
Lydia should get 1¢ back.
Explanation:
Lydia buys a toy car for 59¢. She pays with 6 dimes. Here 6 dimes means 60¢. Lydia should get 1¢ back.

Lesson 8.3 Solve Problems with Dollar Bills

Solve & Share
What is one way you can show 100¢ with coins? Use coins to model. Draw and label the coins you use.
I can … solve problems with money.

Answer:

Explanation:
In the above image 100￠can be shown in four different ways with coins.
In First step two half-dollars is equal to 100￠.
In second step four quarters is equal to 100￠.
In third step two quarters and five dimes is equal to 100￠.
In fourth step one quarter and five dimes and five nickel is equal to 100￠.

Visual Learning Bridge

Convince Me! How is counting dollar bills like counting coins? How is it different?

Guided Practice

Solve each problem.
Question 1.
Mr. Park has these dollar bills. Count on to find the total value.

Answer:

$20 $30 $40 $45 $50
20 + 10 + 10 + 5 + 5
The total value is $50. Mr. Park has $50
Explanation:
Mr. Park has the above dollar bills. Count from the greatest bill to the least bill. Add $20 with $10, $10, $5, $5. The total value is $50. Mr. Park has $50.

Question 2.
Ms. Lenz has these dollar bills. Count on to find the total value.

Answer:

Ms. Lenz has $36.
Explanation:
Ms. Lenz has the above dollar bills. Count from the greatest bill to the least bill. Add $10 with $10, $10, $5, $1. The total value is $36. Ms. Lenz has $36.

Independent Practice

Solve each problem.
Question 3.
Mr. Higgins has these dollar bills. Count on to find the total value.

Answer:

The total value is $27.
Mr. Higgins has $27.
Explanation:
Mr. Higgins has above dollar bills. Count from the greatest bill to the least bill. Add $10 with $10, $5, $1, $1. The total value is $27. Mr. Higgins has $27.

Question 4.
Ms. Nguen has these dollar bills. Count on to find the total value.

Answer:

The total value is $45.
Ms. Nguen has $45.
Explanation:
Ms. Nguen has above dollar bills. Count from the greatest bill to the least bill. Add $20 with $10, $5, $5, $5. The total value is $45. Ms. Nguen has $45.

Question 5.
Mr. Abreu has these dollar bills. Count on to find the total value.

Answer:

The total value is $23.
Mr. Abreu has $23
Explanation:
Mr. Abreu has above dollar bills. Count from the greatest bill to the least bill. Add $10 with $10, $1, $1, $1. The total value is $23. Mr. Abreu has $23.

Question 6.
Ms. Wills has these dollar bills. Count on to find the total value.

Answer:

The total value is $300.
Ms. Wills has $300.
Explanation:
Ms. Will has above dollar bills. Count from the greatest bill to the least bill. Add $100 with $100 and $100. The total value is $300. Ms. Will has $300.

Question 7.
Number Sense Mr. Anson has $26 in his wallet. What is the least number of bills he can have? Draw the bills.
________ bills
Answer:

Mr. Anson has the least number of bills are $1, $5, $10, $10.
Explanation:
Mr. Anson has $26 in his wallet. He can have the least number of bills which are $1, $5, $10, $10.

Problem Solving

Solve each problem.
Question 8.
Model Diana buys shoes on sale for $28. Draw dollar bills that she could use to pay for the shoes.
Answer:

Diana uses these dollar bills $20, $5, $1, $1, $1 to pay for the shoes.
Explanation:
Diana buys shoes on sale for $28. She uses the above dollar bills which are $20, $5, $1, $1, $1 to pay for the shoes.

Question 9.
Mrs. Baker has two $10 bills and three $5 bills in her purse. Does she have enough money to buy a dress that costs $33? Explain.
Answer:
Mrs. Baker has two $10 bills and three $5 bills in her purse.
$10 + $10 + $5 + $5 + $5 = ?
$10 + $10 + $5 + $5 + $5 = $35
Mrs. Baker has $35 in her purse. Yes she has enough money to buy a dress that costs $33.
Explanation:
Mrs. Baker has two $10 bills and three $5 bills in her purse. Add two $10 bills and three $5 bills which results $35. Mrs. Baker has $35 in her purse. Yes she has enough money to buy a dress that costs $33.

Question 10.
Higher Order Thinking Roger buys a baseball bat that costs $27. He pays the clerk with two $20 bills. What bills can the clerk give him back as change?
Answer:
Two $20 bills is equal to $40.
$40 – $27 = ?
$40 – $27 = $13
The bills that clerk gives him back as change are $10, $1, $1, $1.
Explanation:
Roger buys a baseball bat that costs $27. He pays the clerk with two $20 bills. That means he pays $40. The base ball bat is $27. Subtract $27 from $40 the difference is $13. The bills that clerk gives him back as change are $10, $1, $1, $1.

Question 11.
Assessment Practice The dollar bills below show the total cost of tickets for a soccer game.

How much do the tickets cost?
A. $5
B. $31
C. $40
D. $41
Answer:

The tickets cost for a soccer game is $41.
Explanation:
Count from the greatest bill to the least bill. Add $20 with $10, $5, $5, $1. The total value is $41. The tickets cost for a soccer game is $41.

Lesson 8.4 Continue to Solve Problems with Dollar Bills

Solve & Share
Billy, Sarah, and Maria have the same amount of money. Billy has a $1 bill. Sarah has only dimes. Maria has only nickels.
How many dimes does Sarah have?
How many nickels does Maria have?
Explain how you found your answers.
I can … solve problems about money.

Sarah has ________ dimes.
Maria has _________ nickels.
Answer:
Billy, Sarah, and Maria have the same amount of money.
Billy has a $1 bill.
$1 bill = 100￠
Sarah has only dimes.
1 dime = 10￠
10 dimes = 100￠
Sarah has 10 dimes.
Maria has only nickels.
1 nickel = 5￠
20 nickel = 100￠
Maria has 20 nickels.
Explanation:
Billy, Sarah, and Maria have the same amount of money. Billy has a $1 bill. Here $1 bill is equal to the 100￠ as we can observe in the above image. Sarah has only dimes. Here 1 dime is equal to the 10￠ then 10 dimes is equal to the 100￠. Sarah has 10 dimes. Maria has only nickels. Here 1 nickel is equal to the 5￠ then 20 nickels is equal to 100￠. Maria has 20 nickels.

Visual Learning Bridge

Convince Me! Tina solves the problem above by subtracting $100 – $25 and then subtracting $21 from that difference. Do you think she got the same answer as Tammy? Explain.
Answer :
In the above image we can observe that Tammy has $100 bill. She buys the the game with $25 and the toy dog with $21.
Tina Subtracted the cost of the game $25 from total number of bill $100. Then we got the difference as $75.
$100 – $25 = ?
$100 – $25 = $75
Now Tammy has $75 bill.
After that he subtracted the cost of the toy dog is $21 from the difference which is $75.
$75 – $21 = ?
$75 – $21 = $54
Tammy has $54 left.
Tina got the same answer as Tammy.

Guided Practice

Solve each problem. Show your work.
Question 1.
Sam had some money in his wallet. He went to the carnival and spent $12. Now Sam has $5. How much was in his wallet before the carnival?

Answer:
$12 + $5 = ?
$12 + $5 = $17
Before carnival Sam has $17 in his wallet.
Explanation:
Sam had some money in his wallet. He went to the carnival and spent $12. Now Sam has $5. So add $12 with $5 then the sum is $17. Sam had $17 in his wallet before the carnival.

Question 2.
Morgan has $7. Her grandmother gives her a $10 bill and a $5 bill. How much money does Morgan have now?
$ ________
Answer:
$7 + $10 + $5 = ?
$7 + $10 + $5 = $22
Morgan have $22.
Explanation:
Morgan has $7. Her grandmother gives her a $10 bill and a $5 bill. Perform addition operation on $7 with $10 and $5 then the sum is $22. Morgan have $22.

Independent Practice

Solve each problem. Show your work.
Question 3.
Cindy buys a carton of milk for 38¢. She pays with 2 quarters. How much change should Cindy get?
Answer:
1 quarter = $25
2 quarters = $50
$50 – $38 = ?
$50 – $38 = $12
Cindy get $12.
Explanation:
Cindy buys a carton of milk for 38¢. She pays with 2 quarters. Here 2 quarters is equal to $50. Subtract 38$ from $50 then the difference is $12. Cindy get $12.

Question 4.
Roberto buys a baseball mitt. He pays for it with a $100 bill and receives $29 in change. How much does the baseball mitt cost?
Answer:
$100 – $29 = ?
$100 – $29 = $71
The baseball mitt cost is $71.
Explanation:
Roberto buys a baseball mitt. He pays for it with a $100 bill and receives $29 in change. Subtract $29 from $100 then the difference is $71. The baseball mitt cost is $71.

Question 5.
Latrice has bills that have a total value of $50. Draw the bills that Latrice could have.
Answer:

Latrice could have $20, $20, $10.
Explanation:
Latrice has bills that have a total value of $50. The above image shows the Latrice bills. Latrice could have $20, $20, $10.

Question 6.
How many $1 bills have the same value as
a $5 bill? _______ $1 bills
a $10 bill? _______ $1 bills
a $20 bill? _______ $1 bills
a $100 bill? _______ $1 bills
Answer:
A $5 bill have the same value as five $1 bills. 5x$1=$5
A $10 bill have the same value as ten $1 bills. 10x$1=$10
A $20 bill have the same value as twenty $1 bills. 20x$1=$20
A $100 bill have the same value as hundred $1 bills. 100x$1=$100

Question 7.
Higher Order Thinking Jeff buys a book that costs $34. He pays for it with a $100 bill. Draw the bills that Jeff could receive as change.
Answer:

$100 – $34 = ?
$100 – $34 = $66
Jeff receive $66.
Explanation:
Jeff buys a book that costs $34. He pays for it with a $100 bill. Subtract $34 from $100 then the difference is $66. Jeff receive $66. Jeff receives the change as $20, $20, $20, $5 and $1.

Problem Solving

Solve each problem. Show your work.
Question 8.
Make Sense Lily has two $10 bills, three $5 bills, and one $1 bill. She gives Grace $11. How much money does Lily have left?

$ _______
Answer:
Two $10 bills is equal to $20.
Three $5 bills is equal to $15.
one $1 bill is equal to $1.
$20 + $15 + $1 = $36
Lilly gives Grace $11.
$36 – $11 = $25
Lily have $25
Explanation:
Lily has two $10 bills, three $5 bills, and one $1 bill. By adding $20 with $15 and $1 then the sum is $36. She gives Grace $11. Subtract $11 from $36 then the difference is $25. Lily left with $25.

Question 9.
Make Sense Isaac wants to buy a backpack for $20. He has two $5 bills and nine $1 bills. How much more money does he need to buy the backpack?
$ ________
Answer:
Two $5 bills is equal to $10.
Nine $1 bills is equal to $9.
$10 + $9 = ?
$10 + $9 = $19
Isaac wants to buy a backpack for $20.
$20 – $19 = ?
$20 – $19 = $1
He need more $1 to buy the backpack.
Explanation:
Isaac wants to buy a backpack for $20. He has two $5 bills and nine $1 bills. Add $10 with $9 then the sum is $19. Subtract $19 from $20 then the difference is $1. He need more $1 to buy the backpack.

Question 10.
Higher Order Thinking Henry has two $10 bills, two $5 bills, and three $1 bills. Mr. Harper has one $100 bill. Henry says he has more money because he has seven bills and Mr. Harper only has one bill. Is Henry correct? Explain.
Answer:
Henry
Two $10 bills is equal to $20.
Two $5 bills is equal to $10
Three $1 bills is equal to $3.
$20 + $10 + $3 = $33
Mr. Harper
one $100 bill is equal to $100.
Henry is not correct because Henry has $33 and Mr. Harper has $100.
Explanation:
Henry has two $10 bills, two $5 bills, and three $1 bills. Add $20 with $10 and $3 then the sum is $33. Mr. Harper has one $100 bill. Mr. harper has $100. Henry is not correct because Henry has $33 and Mr. Harper has $100.

Question 11.
Assessment Practice Olivia has one $20 bill, three $5 bills, and nine $1 bills. How much more money does Olivia need to buy a coat that costs $49? Explain.
What bills can you use to show how much money Olivia needs?
Answer:
one $20 bill is equal to $20.
Three $5 bills is equal to $15.
Nine $1 bills is equal to $9.
$20 + $15 + $9 = $44
Olivia need to buy a coat that costs $49.
$49 – $44 = ?
$49 – $44 = $5
Oliva needs more $5 to buy a coat.
Explanation:
Olivia has one $20 bill, three $5 bills, and nine $1 bills. Add $20 with $15 and $9 then the sum is $44. Olivia need to buy a coat that costs $49. Subtract $44 from $49 then the difference is $5. Oliva needs more $5 to buy a coat.

Lesson 8.5 Problem Solving

Reasoning
Solve & Share
Suppose you want to buy a pencil that costs 35¢. How many different ways can you use nickels, dimes, or quarters to make 35¢? Show each way. Tell how you know.
I can … reason about values of coins and find different ways to make the same total value.
Answer:

25¢ + 10¢ = 35¢
10¢ + 10¢ + 5¢ + 5¢ + 5¢ = 35¢
25¢ + 5¢ + 5¢ = 35¢
10¢ + 5¢ + 5¢ + 5¢ + 5¢ + 5¢ = 35¢
Explanation:
I buy a pencil that costs 35¢ in four different ways.
First way add one quarter with one dime then the sum is 35¢.
Second way add two dimes with three nickels then the sum is 35¢.
Third way add one quarter with two nickel then the sum is 35¢.
Fourth way add one dime with five quarters then the sum is 35¢.

Thinking Habits
What do the numbers and symbols in the problem mean?
How do the values of the coins relate to the total?

Visual Learning Bridge

Convince Me! Use the chart above. Write equations to show the ways to make 25¢ using dimes and nickels.
Answer:
The equations to show the ways to make 25¢ using dimes and nickels are as below.
10¢ +10¢ + 5¢ = 25¢
10¢ + 5¢ + 5¢ + 5¢ = 25¢
5¢ + 5¢ + 5¢ + 5¢ + 5¢ = 25¢
Explanation:
First way add two dimes with one nickel then the sum is 25¢.
Second way add one dime with three nickels then the sum is 25¢.
Third way five nickels is equal to 25¢.

Guided Practice

Use reasoning. Complete the table.
Question 1.
Tony wants to buy a pencil.

Answer:

50¢ + 5¢ = 55¢
25¢ +25¢ + 5 = 55¢
25¢ + 5¢ + 5¢ + 5¢ + 5¢ + 5¢ + 5¢ = 55¢
5¢ + 5¢ + 5¢ + 5¢ + 5¢ + 5¢ + 5¢ + 5¢ + 5¢ + 5¢ + 5¢ = 55¢
Explanation:
First way add one half dollar with one nickel then the sum is 55¢.
Second way add two quarters with one nickel then the sum is 55¢.
Third way add one quarter with six nickels then the sum is 55¢.
Fourth way eleven quarters is equal to 55¢.

Independent Practice

Use reasoning. Complete each table.
Question 2.
Sue needs $1 to buy a book. She has nickels, dimes, quarters, and half-dollars. Find 3 more ways Sue can make $1.

Answer:

25¢ + 25¢ + 10¢ + 10¢ + 10¢ + 10¢ + 5¢ + 5¢ = $1
50¢ + 25¢ + 10¢ + 10¢ +5¢ = $1
50¢ + 25¢ + 25¢ = $1
50¢ + 10¢ + 10¢ + 10¢ + 10¢ + 5¢ +5¢ = 1
Explanation:
Sue needs $1 to buy a book. She has nickels, dimes, quarters, and half-dollars. The other 3 more ways Sue can make $1.
First way add one half-dollar with one quarter, two dimes and 1 nickel then the sum is $1.
Second way add one half-dollar with two quarters then the sum is $1.
Third way add one half-dollar with four dimes and two nickels then the sum is $1.

Question 3.
Raul wants to buy a bookmark for 14¢. He has dimes, nickels, and pennies. Find all of the ways he can make 14¢.

Answer:

10¢ + 1¢ + 1¢ + 1¢ + 1¢ =14¢
5¢ + 5¢ + 1¢ + 1¢ + 1¢ + 1¢ = 14¢
5¢ + 1¢ + 1¢ + 1¢ + 1¢ + 1¢ + 1¢ + 1¢ + 1¢ + 1¢ = 14¢
1¢ + 1¢ + 1¢ + 1¢ + 1¢ + 1¢ + 1¢ + 1¢ + 1¢ + 1¢ + 1¢ + 1¢ + 1¢ + 1¢= 14¢
Explanation:
Raul wants to buy a bookmark for 14¢. He has dimes, nickels, and pennies. All of the ways he can make 14¢.
First way add one dime with four pennies then the sum is 14¢.
Second way add two nickel with four pennies then the sum is 14¢.
Third way add one nickel with nine pennies then the sum is 14¢.
Fourth way fourteen pennies is equal to 14¢.

Number Sense What is the least number of coins that you could use to make each amount? You can use the tables above to help.
Question 4.
$1
Number of coins: __________
Coins I would use: __________
Answer:
Number of coins: 3.
Coins I would use: one half-dollar and two quarters.
Explanation:
In the above table of $1. There are different ways to get total amount $1. The least number of coins that I used are 3 coins. The three coins are one half dollar and two quarters. These three coins value is equal to $1.

Question 5.
14¢
Number of coins: __________
Coins I would use: __________
Answer:
Number of coins: 5
Coins I would use: one dime and 4 pennies.
Explanation:
In the above table of 14¢. There are different ways to get total amount 14¢. The least number of coins that I used are 5 coins. The five coins are one dime and four pennies. These five coins value is equal to 14¢.

Question 6.
Write an equation to show the total value of 2 nickels and 4 pennies.
Answer:
2 nickels = 10¢
4 pennies = 4¢
10¢ +4¢ = 14¢
The total value is 14¢.
Explanation:
Perform addition operation on 2 nickels and 4 pennies then the sum is 14¢.

Problem Solving

Performance Task

Carnival Game Money Don wants to use these coins to play as many carnival games as he can. Each game costs 40¢.

How can Don spend the coins that are shown at the right?

Question 7.
Use Models Choose from the coins shown. Show one way Don can spend 40¢ on one game. Write an equation.
Answer:

The one way Don can spend 40¢ on one game.
25¢ + 10¢ + 5¢ = ?
25¢ + 10¢ + 5¢ = 40¢
Explanation:
In the above image we can observe some coins. The one way Don can spend 40¢ on one game with some coins. In the above image I take three coins from first row at the right side part. The coins are one quarter and one dime and one nickel add these coins. Add 25¢ with 10¢ and 5¢ then the sum is 40¢.

Question 8.
Make Sense You used some of the coins for one of the ways. How will you know which coins are left to spend?
Answer:
I used some coins to spend 40¢ on one game. The coins I used from first row at the right side part. So I can know the coins left to spend on game.

Question 9.
Reasoning Show how Dan can spend the coins to play games. Use tally marks in the table.
Which coin is left over?

Answer:

One penny coin is left over.
Explanation:
Don can spend the coins in three different ways to play games.
First way he spend the coins to play game are one quarter, one dime and one nickel. Add 25￠ with 10￠ and 5￠then the sum is 40￠.
Second way he spend the coins to play game are three dimes and two nickels. Add 30￠ with 10￠ then the sum is 40￠.
Third way he spend the coins to play game are three dimes and one nickel and 5 pennies. Add 30￠ with 5￠and 5￠ then the sum is 40￠.
One penny coins is left over.

Lesson 8.6 Tell and Write Time to Five Minutes

Solve & Share
What is something you do that takes about 15 minutes? What is something you can do in less than 15 minutes?
I can … tell time to the nearest 5 minutes.

Answer:

Visual Learning Bridge

Convince Me! The time is 9:35. Where is the hour hand?
Where is the minute hand?
Answer:
The hour hand should be between 9 and 10. The minute hand will be pointing to number 7 in the clock. So the time is 9:35.

Guided Practice

Complete the clocks so both clocks show the same time.
Question 1.

Answer:
The time is 6 : 45 which means 6 hours and 45 minutes.
Explanation:
The time is showing 6 hours and 45 minutes. So, hour hand should be after 6 and near to 7. Minute hand should be pointing to number 9 in the clock.

Question 2.

Answer:

The time is 3 : 25 which means 3hours and 25 minutes.
Explanation:
The time is showing 3 hours and 25 minutes. So, hour hand should be after 3 and near to 4. Minute hand should be pointing to number 5 in the clock.

Question 3.

Answer:

The time is 8 : 00 which means the 8 hours and 0 minutes.
Explanation:
The time is showing 8 hours and 0 minutes. So, hour hand should be at 8. Minute hand should be pointing to number 12 in the clock.

Question 4.

Answer:

The time is 5 : 40 which means 5 hours and 40 minutes.
Explanation:
The time is showing 5 hours and 40 minutes. So, hour hand should be after 5 and near to 6. Minute hand should be pointing to number 8 in the clock.

Independent Practice

Complete the clocks so both clocks show the same time.
Question 5.

Answer:

The time is 9 : 00 which means 9 hours and 0 minutes.
Explanation:
The time is showing 9 hours and 0 minutes. So, hour hand should be at 9. Minute hand should be pointing to number 12 in the clock.

Question 6.

Answer:

The time is 2 : 25 which means 2 hours and 25 minutes.
Explanation:
The time is showing 2 hours and 25 minutes. So, hour hand should be after 2 and near to 3. Minute hand should be pointing to number 5 in the clock.

Question 7.

Answer:

The time is 12 : 40 which means 12 hours and 40 minutes.
Explanation:
The time is showing 12 hours and 40 minutes. So, hour hand should be after 12 and near to 1. Minute hand should be pointing to number 8 in the clock.

Question 8.

Answer:

The time is 4 : 40 which means 4 hours and 40 minutes.
Explanation:
The time is showing 4 hours and 40 minutes. So, hour hand should be after 4 and near to 5. Minute hand should be pointing to number 8 in the clock.

Question 9.

Answer:

The time is 1 : 05 which means 1 hour and 5 minutes.
Explanation:
The time is showing 1 hour and 5 minutes. So, hour hand should be at 1. Minute hand should be pointing to number 1 in the clock.

Question 10.

Answer:

The time is 11 : 10 which means 11 hours and 10 minutes.
Explanation:
The time is showing 11 hours and 10 minutes. So, hour hand should be after 11 and near to 12. Minute hand should be pointing to number 2 in the clock.

Question 11.
Number Sense Complete the pattern.

Answer:

The pattern is 7 : 00 ,7 : 05, 7 : 10, 7 : 15.
Explanation:
In the above image we can observe four timing. The pattern is 7 : 00 ,7 : 05, 7 : 10, 7 : 15.

Problem Solving

Solve each problem.
Question 12.
Reasoning One of the clocks is running a little slow. The other clock is running a little fast. Estimate the correct time.

Answer:

One of the clocks is running a little slow. The time is 2 : 40 which means 2 hours and 40 minutes.
The other clock is running a little fast. The time is 2 : 50 which means 2 hours and 50 minutes.
The correct time is 2 : 45 which means 2 hours and 45 minutes.
Explanation:
One of the clocks is running a little slow. The time is 2 hours and 40 minutes. The other clock is running a little fast. The time is 2 hours and 50 minutes. The estimated correct time is 2 : 45 which means 2 hours and 45 minutes.

Question 13.
Number Sense Look at the time on the first clock. What time will it be in 5 minutes? Write that time on the second clock.

Answer:

The time on the second clock is 8:40 which means 8 hours and 40 minutes.
Explanation:
The time on the first clock is 8:35 which means 8 hours and 35 minutes. After 5 minutes the time on the second clock is 8:40 which means 8 hours and 40 minutes.

Question 14.
Higher Order Thinking Draw a clock that shows your favorite time of the day. Explain why it is your favorite time.
Answer:

Question 15.
Assessment Practice What time does the clock show?

A. 1:05
B. 2:10
C. 2:01
D. 2:05
Answer:
The clock is showing 2:05 which means 2 hours and 5 minutes. So option D is correct.
Explanation:
In the above image we can observe a time. The time is  2:05 which means 2 hours and 5 minutes. So option D is correct.

Lesson 8.7 Tell Time Before and After the Hour

Solve & Share
Both of these clocks show the same time. How many different ways can you say this time? Write each way.
I can … say the time in different ways.

Answer:

Explanation:
In the above image both clocks shows the same time as 6:45 which means 6 hours and 45 minutes.
There are two different ways to say 6:45. One is 45 minutes after 6. Second one is 15 minutes before 7 and quarter to 7.

Visual Learning Bridge

Convince Me! Write two ways to say 5:30.
Answer :
There are two ways to say 5:30.
one is 30 minutes after 5 or half past 5.
Second one is 30 minutes before 6.

Guided Practice

Complete so both clocks show the same time. Then circle another way to say the time.
Question 1.

Answer :
The both clocks show the same time as 2:30. The another way to say the time is half past 2.
Explanation:
In the above image we can observe two clocks. The two clocks are showing the same time as 2:30. The another way to say the time is half past 2. So, draw the circle for half past 2.

Question 2.

Answer:

The both clocks show the same time as 6:45. The another way to say the time is quarter to 7.
Explanation:
In the above image we can observe two clocks. The two clocks are showing the same time as 6:45. The another way to say the time is quarter to 7. So, draw the circle quarter to 7.

Independent Practice

Complete so both clocks show the same time. Then write the time before or after the hour.
Question 4.

________ minutes before 5
Answer:

15 minutes before 5 or 45 minutes after 4.
Explanation:
In the above image we can observe two clocks. The two clocks are showing the same time as 4:45. The another way to say the time is 15 minutes before 5 or 45 minutes after 4.

Question 5.

quarter past _______
Answer:

quarter past 12 or 15 minutes after 12.
Explanation:
In the above image we can observe two clocks. The two clocks are showing the same time as 12:15. The another way to say the time is quarter past 12 or 15 minutes after 12.

Question 6.

25 minutes after _______
Answer:

25 minutes after 7.
Explanation:
In the above image we can observe two clocks. The two clocks are showing the same time as 7:25. The another way to say the time as 25 minutes after 7.

Higher Order Thinking Look at the clock to solve each problem.

Question 6.
What time will it be in 30 minutes? Write this time in two different ways.

Answer:

After 30 minutes the time will be 5:45. There are two ways to say 5:45. One is 15 minutes before 6. second way is quarter to 6.
Explanation:
In the above image we can observe a clock. The clock is showing the time as 5:15. After 30 minutes the time will be 5:45. There are two ways to say 5:45. One is 15 minutes before 6. second way is quarter to 6.

Question 7.
What time will it be in 50 minutes? Write this time in two different ways.

Answer:

After 50 minutes the time will be 10:30. There are two ways to say 10:30. One is 30 minutes after 10 or half past 10. Second way is 30 minutes before 11.
Explanation:
In the above image we can observe a clock. The clock is showing the time as 9:40. After 50 minutes the time will be 10:30. There are two ways to say 10:30. One is 30 minutes after 10 or half past 10. Second way is 30 minutes before 11.

Solve each problem.
Question 8.
Vocabulary Miguel is meeting a friend at half past 4.
Complete both clocks to show this time.

Answer:

Miguel is meeting a friend at 4:30
Explanation:
In the above image we can observe two clocks. Miguel is meeting a friend at half past 4.The two clocks are showing the same time as 4:30. The another way to say the time as half past 4 or 30 minutes after 4. Miguel is meeting a friend at 4:30

Question 9.
Generalize A train left the station at 6:55. What are two other ways to say this time?

Answer:
A train left the station at 6:55. The two ways to say this time are 55 minutes after 6 and 5 minutes before 7.
Explanation:
A train left the station at 6:55. There are two ways to say the time 6:55. one is 55 minutes after 6 and second is 5 minutes before 7.

Question 10.
Higher Order Thinking Draw a clock with hands that show 11:45. Then write two ways to say the time.
Answer:

The time is 11:45 which means 11 hours and 45 minutes. The are two ways to say the time 11:45. One is quarter to 12 and another one is 45 minutes after 11.
Explanation:
The time is showing 11 hours and 45 minutes. So, hour hand should be after 11 and near to 12. Minute hand should be pointing to number 9 in the clock. The are two ways to say the time 11:45. One is quarter to 12 and another one is 45 minutes after 11.

Question 11.
Assessment Practice James gets home at 6:00. He starts his homework at quarter past 6. At what time does James start his homework?

Answer:

James start his homework at 6:15.
Explanation:
James gets home at 6:00. He starts his homework at quarter past 6. James start his homework at 6:15.

Lesson 8.8 A.M. and P.M.

Solve & Share
What is something you do in the morning? In the evening? What are some things you do in the morning and evening? Write or draw your answers.
I can … tell time and use reasoning to state if the event is happening in the a.m. or p.m.

Answer:

The events happening in morning time are denoted with a.m.
The events happening in evening time are denoted with p.m.

Visual Learning Bridge

Convince Me! What might you be doing at 6:15 a.m.? At 6:15 p.m.?
Answer:
I do brushing my teeth at 6:15 a.m.
I eat snacks at 6:15 p.m.

Guided Practice

Complete the clocks so both clocks show the same time. Then circle a.m. or p.m. to tell when you would do each activity.
Question 1.
Ride the bus to school

Answer :
I ride the bus to school at 8 : 45 am
Explanation:
In the above image both clocks shows the same time as 8:45. I ride the bus to school at 8:45 a.m. So, draw a circle for a.m.

Question 2.
Do your homework

Answer:

I do my homework at 4:30 p.m.
Explanation:
In the above image both clocks shows the same time as 4:30. The time is showing 4 hours and 30 minutes. So, hour hand should be after 4 and near to 5. Minute hand should be pointing to number 6 in the clock. I do my homework at 4:30 p.m. So, draw a circle for p.m.

Independent Practice

Complete the clocks so both clocks show the same time. Circle a.m. or p.m. to tell when you would do each activity.
Question 3.
Take the bus home from school

Answer:

I take the bus from school to home at 3:45 p.m.
Explanation:
In the above image both clocks shows the same time as 3:45. The time is showing 3 hours and 45 minutes. So, hour hand should be after 3 and near to 4. Minute hand should be pointing to number 9 in the clock. I take the bus from school to home at 3:45 p.m. So, draw a circle for p.m.

Question 4.
Walk the dog before breakfast

Answer:

I take the dog for walk before breakfast at 8:05 a.m.
Explanation:
In the above image both clocks shows the same time as 8:05. The time is showing 8 hours and 5 minutes. So, hour hand should be at 8. Minute hand should be pointing to number 1 in the clock. I take the dog for walk before breakfast at 8:05 a.m. So draw a circle for a.m.

Question 5.
Read a book before bedtime

Answer:

I read a book before bedtime at 7:50 p.m.
Explanation:
In the above image we can observe two clocks. Both clocks show the same time as 7:50. The time is showing 7 hours and 50 minutes. So, hour hand should be after 7 and near to 8. Minute hand should be pointing to number 10 in the clock. I read a book before bed time at 7:50p.m. So, draw a circle for p.m.

Question 6.
Take swimming lessons on Saturday morning

Answer:

Take swimming lessons on Saturday morning at 10 :15 a.m.
Explanation:
In the above image we can observe two clocks. Both clocks show the same time as 10:15. The time is showing 10 hours and 15 minutes. So, hour hand should be after 10 and near to 11. Minute hand should be pointing to number 3 in the clock. Take swimming lessons on Saturday morning at 10 :15 a.m. So draw a circle for a.m.

Question 7.
Watch a movie on Friday night

Answer:

Watch a movie on Friday night at 7:20 p.m.
Explanation:
In the above image we can observe two clocks. Both clocks show the same time as 7:20. The time is showing 7 hours and 20 minutes. So, hour hand should be after 7 and near to 8. Minute hand should be pointing to number 4 in the clock. Watch a movie on Friday night at 7:20 p.m. So draw a circle for p.m.

Question 8.
Go to a party on Saturday afternoon

Answer:

Go to a party on Saturday afternoon at 2:00 p.m.
Explanation:
In the above image we can observe two clocks. Both clocks show the same time as 2:00. The time is showing 2 hours and 0 minutes. So, hour hand should be at 2. Minute hand should be pointing to number 12 in the clock. Go to a party on Saturday afternoon at 2:00 p.m. Draw a circle for p.m.

Question 9.
Higher Order Thinking Jen and Maria have dance lessons at the time shown on the clock.

Write the time two different ways. Is it a.m. or p.m.? Explain.
Answer:
Jen and Maria have dance lessons at 3:45 p.m.
Explanation:
Jen and Maria have dance lessons at the time shown on the above clock. The time is 3:45 p.m. Because morning time is not possible to have a dance lessons. The time 3:45 can be written as two different ways. One way is 45 minutes after 3. Second way is quarter to 4.

Problem Solving

Solve each problem.
Question 10.
Be Precise Draw hands on the clock to show what time your school begins each day. Then write the time. Include a.m. or p.m.

Time: ________
Answer:

My school begins each day at 9:00 a.m.
Explanation:
My school begins each day at 9:00 a.m. The time is showing 9 hours and 0 minutes. So, hour hand should be at 9. Minute hand should be pointing to number 12 in the clock.

Question 11.
enVision® STEM Stargazing is looking at the stars. The best time to stargaze is on a clear moonless night.
Gina went outside to stargaze at 9:00. Is this 9:00 a.m. or 9:00 p.m.? Explain.
Answer:
It is 9:00 p.m.. One can look at stars at night time and and if it is a clear moonless night, then the stars will be visible with a better view.

Question 12.
Higher Order Thinking Grace starts her homework at 4:15. She finishes her homework 45 minutes later. Draw the hands on the clocks to show both times. Write both times on the digital clocks.

Circle a.m. or p.m. below to tell when Grace does her homework.
a.m.
p.m.
Answer:

Grace done her homework at 5:00p.m.
Explanation:
Grace starts her homework at 4:15p.m. So first clock shows the time 4:15p.m. In first digital clock the time is 4:15p.m. She finishes her homework 45 minutes later. Second clock shows the time as 5:00p.m. Second digital clock shows the time as 5:00p.m. Grace done her homework at 5:00p.m. So draw a circle for p.m.

Question 13.
Assessment Practice Circle a.m. or p.m. to tell when you would do each activity.
Brush your teeth before bedtime
a.m.
p.m.
Answer:

Explanation:
I brush my teeth before bedtime. So draw a circle for p.m.

Walk the dog before dinner
a.m.
p.m.
Answer:

Explanation:
I go to walk with the dog before dinner. So, draw a circle for p.m.

Go to soccer practice after school
a.m.
p.m.
Answer:

Explanation:
I go to Soccer practice after school. After school means evening. So, draw a circle for p.m.

Watch the sunrise
a.m.
p.m.
Answer:

Explanation:
I watch the sunrise at morning time. So, draw a circle for a.m.

Topic 8 Fluency Practice Activity

Find a Match Find a partner. Point to a clue. Read the clue.
Look below the clues to find a match. Write the clue letter in the box next to the match.
Find a match for every clue.
I can … add and subtract within 20.

Clues
A. is equal to 12 – 5
B. Is equal to 9 + 2
C. is equal to 12 – 10
D. is equal to 8 + 9
E. Is equal to 3 + 3
F. is equal to 15 – 7
G. Is equal to 8 + 6
H. is equal to 12 – 8
I. Is equal to 17 – 8
J. Is equal to 6 + 9
K. is equal to 8 – 5
L. is equal to 9 + 9

Answer:

Topic 8 Vocabulary Review

Understand Vocabulary

Question 1.
Circle the name of the coin with the greatest value.
quarter
nickel
dime
Answer:

The coin with the greatest value is quarter.
Explanation:
One quarter is equal to 25￠and one nickel is equal to 5￠, one dime is equal to 10￠. The coin with the greatest value is quarter. So, draw a circle for quarter.

Question 2.
Circle the name of the coin with the least value.
half-dollar
penny
quarter
Answer:

The coin with the least value is penny.
Explanation:
Half-dollar is equal to 50￠, one penny is equal to 1￠ and one quarter is equal to 25￠. The coin with the least value is penny. So draw a circle for penny.

Question 3.
Cross out the time that is NOT quarter past 5 or quarter to 5.
4:45
5:15
5:25
Answer:

The time 5:25 is Not quarter past 5 or quarter to 5.
Explanation:
The time quarter past 5 means 5 :15 and quarter to 5 means 4 :45. The time 5:25 is Not quarter past 5 or quarter to 5. So put a cross mark for 5:25.

Question 4.
Cross out the time that is NOT half past 8 or quarter past 8.
8:30
8:45
8:15
Answer:

The time 8:45 is NOT half past 8 or quarter past 8.
Explanation:
The time half past 8 means 8:30 and quarter past 8 means 8:15. The time 8:45 is NOT half past 8 or quarter past 8. So put a cross mark for 8:45.

When does each event happen? Write a possible time.
Use a.m. or p.m.
Question 5.
school ends
Answer:
My school ends at 4 p.m.

Question 6.
eat breakfast
Answer:
I eat breakfast at 7:45 a.m.

Question 7.
sunrise
Answer:
Sun rises at 6:00 a.m..

Use Vocabulary in Writing
Question 8.
Explain how you can show ways to make 1 dollar (100¢) using coins. Use terms from the Word List. Give examples.
Answer:

Topic 8 Reteaching

Set A

When you count coins, start with the coin of greatest value.

Randi has the coins shown below. Count on to find the total value.

Another Example
Duane has the coins below. How much money does Duane have?

Solve each problem. Count on to find the total value.

Question 1.
These coins are in a jar. How many cents are in the jar?

Draw the coins in order.
Count on.
There is _________ in the jar.
Answer:

There is 45￠ in the jar.
Explanation: The above coins are in a jar. We have to keep the coins in order.
In the above image first coin is quarter. One quarter is equal to 25￠.
The second coin is dime. One dime is equal to 10￠.
The third coin is also dime. one dime is equal to 10￠.
Add these coins. Add 25￠ with 10￠ and 10￠ then the sum is 45￠. There is 45￠ in the jar.

Question 2.
The coins shown below are in a box. How much money is in the box?

There is ________ in the box.
Answer:

There is 54￠ in the box.
Explanation:
The above coins are in a box. First we have to count from the greatest value to the smallest value of the coin. Here we have one quarter, one dime, three nickels and 4 pennies.
One quarter is equal to 25￠. One dime is equal to 10￠. Three nickel is equal to 15￠. Four pennies is equal to 4￠.
By adding these coins the sum is 54￠. There is 54￠ in the box.

Set B

Dollar bills are paper money and can have different dollar values.

Matt has $56. Two of his bills are $20 bills. What other bills could Matt have? You can count on to get to $56.

Solve each problem.
Question 3.
Mr. Park has these dollar bills. Count on to find the total value.

Answer:

$20,  $40,  $50,  $55,  $56
+$20  +$10 +$5 +$1
Mr. Park has $56.
Explanation:
Mr. Park has above dollar bills. Mr. park has two $20 and one $10 and one $5 and one $1. Add these dollars $20 with $20, $10, $5, $1 then the sum is $56. Mr. Park has $56.

Question 4.
A cookbook costs $36. Mrs. Beeson has a $10 bill and a $5 bill. How much more money does Mrs. Beeson need to buy the cookbook?
$ _________
Answer:
Mrs. Beeson has a $10 bill and a $5 bill.
$10 +$5 = ?
$10 +$5 = $15
A cookbook costs $36.
$15 + ? = $36
$36 – $15 = ?
$36 – $15 = $21
Mrs. Beeson needs $21 to buy the cookbook.
Explanation:
A cookbook costs $36. Mrs. Beeson has a $10 bill and a $5 bill. Add $10 with $5 then the sum is $15. Subtract $15 from $36 then the difference is $21. Mrs. Beeson needs $21 to buy the cookbook.

Set C

Thinking Habits
Reasoning
What do the numbers and symbols in the problem mean?
How do the values of the coins relate to the total?

Use reasoning. Finish the table.

Question 5.
Mitch has dimes, nickels, and pennies. Find ways he can make 11¢. Show a tally mark for each coin you use.

Answer:

Explanation:
1 dime = 10￠
1 nickel = 5￠
1 penny = 1￠
First way add one dime with one penny then the sum is 11￠.
Second way add two nickel with one penny then the sum is 11￠.
Third way add one nickel with 6 pennies then the sum is 11￠.
Fourth way 11 pennies is equal to 14￠.

Set D

It takes 5 minutes for the minute hand to move from one number to the next. Count on by 5s.

Read the time.
Write the same time on the digital clock.

Question 6.

Answer:

Explanation:
The above two clocks show the time as 4:45 which means 4 hours and 45 minutes or quarter to 5.

Set E

You can say the number of minutes before the hour or after the hour.

Circle the time each clock shows.

Question 7.

5 minutes before 3
5 minutes after 3
Answer:

Explanation:
The above clock shows the time 2:55. The time 2:55 which means 5 minutes before 3. So, draw a circle for 5 minutes before 3.

Question 8.

15 minutes before 10
15 minutes after 10
Answer:

Explanation:
The above clock shows the time 10:15. The time 10:15 which means 15 minutes after 10. So, draw a circle for 15 minutes after 10.

Set F

Use a.m. from midnight to noon.
Use p.m. from noon to midnight.

Circle a.m. or p.m. to tell when you would do each activity.

Question 9.
Afternoon recess

Answer:

Afternoon recess break at 2:05 p.m. So, draw a circle for p.m.
Explanation:
The above clock shows the time 2:05. Afternoon recess break at 2:05 p.m. So, draw a circle for p.m.

Question 10.
Feeding fish after breakfasts

Answer:

Feeding fish after breakfasts at 9:00 a.m. So, draw a circle for a.m.
Explanation:
The above clock shows the time 9:00. Feeding fish after breakfasts at 9:00 a.m. So, draw a circle for a.m.

Topic 8 Assessment Practice

Question 1.
Chen has these coins. How much money does Chen have? If he spends a quarter and a penny, how much money will he have? Count on to find the total.

Chen has _____ cents. He will have _____ cents
Answer:
First coin is quarter. One quarter is equal to 25¢.
Second coin is dime. One dime is equal to 10¢.
Third coin is nickel. One nickel is equal to 5¢.
Fourth coin is penny. one penny is equal to 1¢.
Fifth coin is penny. one penny is equal to 1¢.
25¢ + 10¢ + 5¢ + 1¢ + 1¢ = 42¢
42¢ – 25¢ – 1¢ = ?
42¢ – 25¢ – 1¢ = 16¢
Chen has 42 cents. He will have 16 cents.
Explanation:
Chen has these coins quarter, dime, nickel, penny. Add these coins value. Add 25¢ with 10¢, 5¢, 1¢, and 1¢ then the sum is 42¢. Chen spends quarter and penny. Subtract 25¢ and 1¢ from 42¢ then the difference is 16¢. Chen has 42 cents. He will have 16 cents.

Question 2.
Ellen has 4 coins that equal 46¢. She has 1 quarter, 1 dime, and 1 penny. Which is her fourth coin?

Answer:

Fourth coin is dime. So option C is correct.
Explanation:
Ellen has 4 coins that equal 46¢. She has 1 quarter, 1 dime, and 1 penny.
One quarter is equal to 25¢. One dime is equal to 10¢. one penny is equal to 1¢. Add these coins value. Add 25¢ with 10 ¢ and 1¢ then the sum is 36¢. The fourth coin is dime. By adding 10¢ to 36¢ then the sum is 46¢. So option C is correct.
Question 3.
Nan has 36¢. Which coins show this?

Answer:

Option A is correct because the three coins value is equal t0 36¢.
Explanation:
Nan has 36¢.
Option A has three coins. Add 10¢ with 25¢ and 1¢ then the sum is 36¢. The three coins value is equal to 36¢.
Option B has four coins. Add 1¢ with 5¢, 10¢ and 10¢ then the sum is 26¢. The four coins value is equal to 26¢.
Option C has four coins. Add 5¢ with 5¢, 10¢ and 1¢ then the sum is 21¢. The four coins value is equal to 21¢.
Option D has four coins. Add 10¢ with 10¢, 1¢ and 10¢ then the sum is 31¢. The four coins value is equal to 31¢.
Option A is correct because the three coins value is equal t0 36¢.

Question 4.
George has quarters, dimes, and nickels. Show all the ways he can make 25¢. Use tally marks.
Circle the way that uses the least number of coins.

Answer:

Explanation:
George has quarters, dimes, and nickels. There are four different ways he can make 25¢.
First way one quarter is equal to 25¢.
Second way two dimes is equal to 20¢ and one nickel is equal to 5¢. Add 20¢ with 5¢ then the sum is 25¢.
Third way one dime is equal to 10¢ and 3 nickels is equal to 15¢. Add 10¢ with 15¢ then the sum is 25¢.
Fourth way five nickels is equal to 25¢.
So draw a circle for quarter because least number of coins.

Question 5.
Mr. Zink has the dollar bills shown. How many dollars does Mr. Zink have? If he spends $16 on breakfast and does not receive any change, which bills could he have used to pay for it?

Answer:
$10 + $10 + $5 + $5 + $1 = ?
$10 + $10 + $5 + $5 + $1 = $31
Mr. Zink have $31.
He spends $16 on breakfast
$31 – $16 = ?
$31 – $16 = $15
Mr. Zink used $10 and $5 ,$1.
Explanation:
Mr. Zink has the dollar bills as we can observe in the above image. Add $10 with $10, $5, $5, $1 then the sum is $31. Mr. Zink have $31. He spends $16 on breakfast. Subtract $16 from $31 then the difference is $15. Mr. Zink used $10 and $5, $1 he does not receive any change back.

Question 6.
A. Claire has two $20 bills, two $5 bills, and three $1 bills. Terrance has one $100 bill. How much more money does Terrance have? Explain.
Answer:
Claire has two $20 bills, two $5 bills, and three $1 bills.
Two $20 bills is equal to $40.
Two $5 bills is equal to $10.
Three $1 bills is equal to $3.
$40 + $10 + $3 = $53
Claire has $53.
Terrance has one $100 bill.
One $100 bill is equal to $100.
$100 – $53 = $47
Terrance have more $47.
Explanation:
A. Claire has two $20 bills, two $5 bills, and three $1 bills. Add the bills. Add $40 with $10 and $3 then the sum is $53. Terrance has one $100 bill. Subtract $53 from $100 then the difference is 47. Terrance have more $47.

B. What bills can you use to show how much more money Terrance has?
Answer:
Terrance has more $47. I can use these bills one 20 bill, one 10 bill, three 5 bills and two 1 bill. There sum is equal to $47.

Question 7.
Kay has saved $30. Show three different ways to make $30. Use tally marks in the table at the right.

Circle the way that uses the least number of bills.
Answer:

Explanation:
Kay has saved $30. There are three different ways to make $30.
First way add one $20 bill with one $10 bill then the sum is $30.
Second way three $10 bills is equal to $30.
Third way add two $20 bills and two $5 bills is equal to $30.
Draw a circle to first way because it uses a least number of bills.

Question 8.
Sandy wakes up in the morning at the time shown on the clock.

What time does Sandy wake up?
A. 5:10 am
B. 6:10 a.m.
C. 5:10 p.m.
D. 6:10 p.m.
Answer:
Sandy wake up at 6:10 a.m. So option B is correct.
Explanation:
In the above clock we can observe the time 6:10 which means 10 minutes after 6. So sandy wake up at 6:10 a.m. So option B is correct.

Question 9.
Sara’s baseball game starts at the time shown on the clock.

Is this the time her game starts? Choose Yes or No.

Answer:

Explanation:
Sara’s baseball game starts at the time shown on the above clock. The time is 4:45 on the above clock.
Her game starts at 45 minutes after 4. The statement is correct So, choose yes.
Her game starts at 15 minutes before 5. The statement is correct So, choose yes.
Her game starts at quarter to 4. The statement is not correct So, choose No.
Her game starts at quarter to 5. The statement is correct So, choose Yes.

Question 10.
The clock shows the time that Holly arrives to school. What time does the clock show? Choose all that apply.

☐ half past 7 o quarter past 8
☐ 30 minutes after 8
☐ half past 8
☐ 15 minutes to 9
Answer:

Explanation:
The clock shows the time that Holly arrives to school. The above clock shows the time as 8:30. The time 8:30 can also be called as 30 minutes after 8 and half past 8. So options two and three are correct. Keep a tick mark to options two and three.

Question 11.
The first clock shows the time the sun rises. Write the same time on the second clock. Then circle a.m. or p.m.

Answer:

Sun rises at 6:35 a.m.
Explanation:
The first clock shows the time the sun rises. The time in the first clock is 6:35. The same time on the second clock also. So sunrises at 6:35 a.m.

Question 12.
Look at the time on the first clock. Write that time on the second clock.

Answer:

The first clock shows the time as 9:25.
Explanation:
The first clock shows the time as 9:25. Write that time on the second clock. The time on the second clock is 9:25. So, both clock shows the same time as 9:25.

Question 13.
Circle a.m. or p.m. to tell when you would do each activity.

Answer:

Explanation:
Watch the sunset at 7:40 p.m. Draw a circle for p.m.
Take a music lesson after school. So draw a circle for p.m.
Brush your teeth before school. So draw a circle for a.m.
Ear breakfast at 6:45 a.m. So draw a circle for a.m.

Question 14.
Draw lines to match the time on each clock in the first row to the same time shown in the second row.

Answer:

Explanation:
The time in the first clock is 4:30. So, the hour hand should be after 4 and before 5. The minute hand should be at 6 (6×5=30 mins).
The time in the second clock is 5:15. So, the hour hand should be after 5 and before 6. The minute hand should be at 3 (3×5=15 mins).
The time in the third clock is 4:45. So, the hour hand should be after 4 and before 5. The minute hand should be at 9 (9×5=45 mins).
The time in the fourth clock is 5:30. So, the hour hand should be after 5 and before 6. The minute hand should be at 6 (6×5=30 mins).

Topic 8 Performance Task

The Toy Store
Terry’s family owns a toy store. These are some of the things they sell.

Question 1.
Lorna buys the crayons with 6 coins. Ken buys the crayons with 7 coins. Draw the coins that each of them used.
Lorna’s 6 coins
Ken’s 7 coins
Answer:

Question 2.
Kim goes to the toy store with these coins.

Part A
What is the total value of the coins Kim has? Explain how you know.
Answer:
25￠ + 5￠ + 10￠ + 1￠ + 10￠ = 51￠
5￠ + 5￠ + 25￠ + 1￠ + 10￠ + 1￠ = 47￠
51￠ +47￠ = 98￠
The total value of the coins are 98￠. Kim has 98￠.
Explanation:
In the above image we can observe some coins. The value of the coins in first row are 51￠ and the value of the coins in second row are 47￠. The total value of the coins are obtained by adding 51￠ with 47￠ then the sum is 98￠. The total value of the coins are 98￠. Kim has 98￠.

Part B
How much more money does Kim need to buy the book? Explain.
Answer:
The book cot is $1 as we can observe in the above image.
$1 = 100￠
100￠ – 98￠ = 2￠
Kim need more 2￠ to buy the book.
Explanation:
In the above image we can observe the cost of the book is $1. $1 is equal to 100￠. Kim has 98￠. Subtract 98￠from 100￠ then the difference is 2￠. Kim need more 2￠ to buy the book.

Question 3.
Kay’s father buys a toy train at the toy store for $50.
Part A
Show five different ways that he could have paid $50. Use tally marks to complete the table.

Answer:

Explanation:
Kay’s father buys a toy train at the toy store for $50. There are five different ways to buy a toy train at the toy store.
First way is two $20 bills and one $10 bill is equal to $50.
Second way is one $20 bill and three $10bills is equal to $50.
Third way is four $10 bills and two $5 bills is equal to $50.
Fourth way is three $10 bills and four $5 bills is equal to $50.
Fifth way is two $10 bills and six $5 bills is equal to $50.

Part B
Which way uses the least number of bills to make $50? Explain.
Answer:
First way used the least number of bills to make $50.
Explanation:
First way is two $20 bills and one $10 bill is equal to $50. So, first way used the least number of bills to make $50.

Question 4.
Ted walks to the toy store in the afternoon.
Part A
He starts walking at the time shown on the digital clock. Draw hands on the second clock to show the same time.

Is the time on the clocks above 3:35 a.m. or 3:35 p.m.? Explain how you know.
Answer:

Explanation:
Ted walks to the toy store in the afternoon. He starts walking at the time shown on the digital clock. The digital clock shows the time as 3:35. The time is showing 3 hours and 35 minutes. So, hour hand should be after 3 and towards 4. Minute hand should be pointing to number 7 in the clock. Ted walks to the toy store at 3:35 p.m.

Part B
Write the time on the clocks in two different ways.
Answer:-
The time on the above clocks is 3: 35. The time is 35 minutes past 3 and 35 minutes before 4.

Practice with the help of enVision Math Common Core Grade 2 Answer Key Topic 7 More Solving Problems Involving Addition and Subtraction regularly and improve your accuracy in solving questions.

enVision Math Common Core 2nd Grade Answers Key Topic 7 More Solving Problems Involving Addition and Subtraction

Essential Question:
How can you solve word problems that use adding or subtracting?

envision STEM Project: Solving Problems
Find Out Find and share books that tell about ways to protect land from damage that wind or water can cause. Compare the different ways to protect the land.
Journal: Make a Book Show what you learn in a book. In your book, also:

• Show ways to solve problems caused by wind or water.
• Show ways to solve problems using addition or subtraction.

Review What You Know

Vocabulary
Question 1.
Write the subtraction problem below as an equation.

Answer:
The equation for the above subtraction problem is 75 – 30 = 45
Explanation:
Subtraction is an arithmetic operation that represents the operation of removing objects from a collection. Subtract 30 from 75 results 45. The problem can be written as an equation format is 75 – 30 = 45.

Question 2.
Complete the bar diagram to model 77 + 22 = ?

Answer:

77 + 22 = 99
Explanation:
The addition is taking two or more numbers and adding them together results sum. In the above bar diagram we can observe two numbers one is 77 and another one is 22. By adding these two numbers results sum which is 99. Place the result 99 above the box and place the addends in box.

Question 3.
Circle the two addends below that are compatible numbers.
18 + 6 + 4 = ?
Answer:

Explanation:
Compatible numbers are the numbers that are easy to add, subtract, multiply, or divide mentally. Compatible numbers are close in value to the actual numbers that make estimating the answer and computing problems easier. We can round the numbers to the nearest ten, hundred, thousand or ten thousand to make them compatible numbers. In the above equation the two compatible numbers are 6 and 4. Draw a circle to the addends 6 and 4. Add 18 with 10 then we got 28.

Adding to Check Subtraction
Question 4.
Use addition to check if the subtraction equation is correct.
51 – 22 = 29
Is it correct? _________
Answer:
51 – 22 = 29
29 + 22 = 51
Yes, the above subtraction equation is correct by checking with the addition operation as we can observe in the above equation.
Explanation:
In the above subtraction equation we can observe the result as 29. Here we have to check whether the result is right or wrong by using addition operation. The result 29 is added to the smallest number in the equation. The smallest number is 22. ADD 29 with 22 then we got 51. The above subtraction equation is correct.

Subtracting to Check Addition
Question 5.
Use subtraction to check if the addition is correct.
37 + 26 = 53
Is it correct? _________
Answer:
37 + 26 = 53
53 – 37 = 16
No, the above addition equation is not correct by checking with the subtraction operation as we can observe in the above equation.
Explanation:
In the above addition equation we can observe the result as 53. Here we have to check whether the result is right or wrong by using subtraction operation. The result 53 is subtracted with the second biggest number in the equation. The second biggest number is 37. Subtract 37 from 53 then we got 16. In the above equation we can observe 26. So the above addition is not correct.

Number Story
Question 6.
Jim and Maria are counting birds. Jim counts 17 birds. Maria counts 33 birds. How many more birds does Maria count than Jim?
_________ more birds
Answer:
17 + ? = 33
17 + 10 = 27
27 + 6 = 33
10 + 6 = 16.
16 more birds does Maria count than Jim.
Explanation:
Jim and Maria are counting birds. Jim counts 17 birds and Maria counts 33 birds. By adding another 16 birds to the 17 birds results 33 birds.

Pick a Project

PROJECT 7A
How many points has your favorite hockey player scored?
Project: Design a Player Card

PROJECT 7B
How many floors do New York City skyscrapers have?
Project: Build a Skyscraper Model

PROJECT 7C
Where can you find caves in the United States?
Project: Create a Worksheet of Cave Problems

3-ACT MATH PREVIEW

Math Modeling
The Water Jug

Lesson 7.1 Represent Addition and Subtraction Problems

Solve & Share
Jenn has some red cubes and Il blue cubes. She has 24 red and blue cubes in all. She says the problem can be shown with the equation below.
? + 11 = 24
Draw what the ? represents. Explain your answer.
I can … model problems using equations with unknowns in any position.

Answer:

Answer:
? + 11 = 24
13 + 11 = 24
Jenn has 13 red cubes.
Explanation:
Jenn has some red cubes and 11 blue cubes. She has 24 red and blue cubes in all. Here we have to find how many red cubes does Jenn have. Subtract blue cubes from total number of cubes then we can get total number of red cubes. Subtract 11blue cubes from 24 total number of cubes then we got 13 red cubes.

Visual Learning Bridge

Convince Me! Could you show Robert’s robot problem with the equation below? Explain.
58 = 27 + ?
Answer:
58 – 27 = 31
Robert has 27 toy robots. He buys some more robots. Now he has 58 robots. Subtract 27 robots from 58 total number of robots then we got 31 robots.

Guided Practice

Write an equation with a ? for the unknown to model the problem. Then solve. Show your work.
Question 1.
Mary has some game tickets. She gives away 14 tickets and now has 17 tickets left. How many tickets did she have at first?

Answer:
? – 14 = 17 tickets
31 – 14 = 17 tickets
Explanation:
Mary has some game tickets She gave 14 tickets away and now she has 17 tickets left. Here we have to find the total number of tickets did she have at first. Perform addition operation on tickets left and gave away tickets then we can easily find total number of tickets did she have at first. ADD 17 with 14 then we got 31. Mary has 31 game tickets at first.

Question 2.
Tamara has $25. She earns $34 more by working. How much money does she have now?
Equation: ___________ $ ____________
Answer:
Tamara has $25. She earns $34 more by working. she has $59 now.
The equation is $25 + $34 = $59
Explanation:
Tamara has $25. She earned $34 more by working. Addition is a mathematical operation in which two or more numbers are added together to get the sum. Here we have to add the money which she had earned by working with actual money she have. Add $25 with $34 then we got $59.

Independent Practice

Write an equation with a ? for the unknown to model the problem. Then solve. Show your work.
Question 3.
Erin has 32 books on her bookshelf. She gives some to friends and now has 19 books left. How many books did she give away?
Equation: ___________
__________ books
Answer:
32 – ? = 19
32 – 19 = 13
32 – 13 = 19
Explanation:
Erin has 32 books on her bookshelf. She gave some to friends and now she has 19 books left. Perform subtraction on total number of books on her bookshelf and left over books then we get how many books does she gave away to her friends. Subtraction is an arithmetic operation that represents the operation of removing objects from a collection. Subtract leftover books from total number of books. Subtract 19 books from 32 books then we got 13 books. Erin gave 13 books to her friends.

Question 4.
A store sells 38 men’s bikes and 47 women’s bikes. How many bikes did the store sell in all?
Equation: ___________
________ bikes
Answer:
38 men’s bikes + 47 women’s bikes = ? bikes
38 men’s bikes + 47 women’s bikes = 85 bikes
Explanation:
A store sells 38 men’s bikes and 47 women’s bikes. Here we have to find the total number of bikes does store sell in all. So perform addition operation. Addition is a mathematical operation in which two or more numbers are combined together to get the sum. Add 38 men’s bikes with 47 women’s bikes then we got 85 bikes. 85 bikes does store is selling in all.

Question 5.
en Vision® STEM A field has 25 trees in it. 14 trees are new and the rest are old. How many trees are old? Write two different equations that represent the problem. Then solve.
Equation: ___________
Equation: ___________
__________ old trees
Answer:
14 + ? = 25
14 + 10 = 24
24 + 1 = 25
10 + 1 = 11
14 + 11 = 25
? = 25 – 14
11 = 25 – 14
11 trees are old.
Explanation:
STEM A field has 25 trees in it. 14 trees are new and the rest are old. Here we have to find how many trees are old. We can find old trees simply by adding 10 to the new tress. ADD 10 to the new tress which are 14 then we got the result as 24 trees. Here the total number of trees are 25. Add 1 to the 24 then we got total number of trees. Add 10 with one then we got 11 trees which are old.
Another way of solving the equation is performing subtraction operation. Subtract new trees from total number of trees then we get old trees. Subtract 14 from 25 then we got 11. 11 trees are old.

Question 16.
Number Sense Harry buys 22 fish. He has a round fish bowl and a rectangular fish tank. How could he place the fish in the bowl and tank?
Equation:
___________ fish in the bowl
___________ fish in the tank
Answer:
Equation: 11 + 11 = 22
11 fish in the bowl.
11 fish in the tank.
Explanation:
Harry buys 22 fish. He has a round fish bowl and a rectangular fish tank. He can place 11 fish in the round fish bowl and 11 fish in the rectangular fish tank. By adding 11 fish in the bowl and 11 fish in the tank results total number of fish. Total number of fish are 22.

Problem Solving

Write an equation with a ? for the unknown to model the problem. Then solve. Show your work.
Question 7.
Model Rodney collects 17 leaves and Sheila collects 23 leaves. How many more leaves does Sheila collect than Rodney?
Equation: ___________
___________ more leaves
Answer:
Equation: 23 – 17 = ?
23 – 17 = 6
6 more leaves does Sheila collected than Rodney.
Explanation:
Model Rodney collects 17 leaves and Sheila collects 23 leaves. Here we have to find how many more leaves does Sheila collect than Rodney. Subtract Rodney collected leaves from Sheila collected leaves. Subtract 17 leaves from 23 leaves then we got 6 leaves. Sheila collected 6 more leaves than Rodney.

Question 8.
Model Jun swims 18 laps and Mara swims 25 laps. How many fewer laps did Jun swim than Mara?
Equation: ___________
___________ fewer laps
Answer:
25 laps – 18 laps = 7 laps
Jun swim 7 fewer laps than Mara.
Explanation:
Model Jun swims 18 laps and Mara swims 25 laps. Here we have to find how many fewer laps did Jun swim than Mara. Subtract Jun swims laps from Mara swims laps. Subtract 18 laps from 25 laps ten we got 7 laps. Jun swim 7 fewer laps than Mara.

Question 9.
Higher Order Thinking Jim has 44 roses. 14 are white and the rest are red. How many are red? Write two different equations to model the problem. Then solve.
Equation: ___________
Equation: ___________
Answer:
Equation1: 14 white + ? red = 44 roses
14 + 10 = 24
24 + 10 = 34
34 + 10 = 44
10 + 10 + 10 = 30 red roses
Equation 2: 44 roses – 14 white = ? red
44 roses – 14 white = 30 red roses
Explanation:
Jim has 44 roses. 14 are white and the rest are red. Here we can find total number of red roses in two ways one is addition operation and another one is subtraction operation.
By adding 14 white roses with 30 red roses results 44 roses. Total number of red roses are 30.
Subtract 14 white roses from total number of roses are 44. Then we got 30 red roses.

Question 10.
Assessment Practice Some wolves howl in the woods. 12 wolves join them. Now 30 wolves howl. How many wolves howled at first?
Which equation models the problem? Choose all that apply.
☐ ? + 12 = 30
☐ 30 = 12 + ?
☐ 30 + 12 = ?
☐ 30 = ? + 12
Answer:

Below equations are correct
18 + 12 = 30
30 = 12 + 18
30 = 18 + 12
18 wolves howled at first.
Explanation:
Some wolves howl in the woods. 12 wolves join them. Now 30 wolves howl. Add 18 Wolves to the 12 wolves then we got 30 Wolves. 18 wolves howled at first.

Lesson 7.2 Mixed Practice: Solve Addition and Subtraction Problems

Solve & Share
Aiden has 27 fewer crayons this week than last week. Last week he had 56 crayons. How many crayons does Aiden have this week? Show your work.
I can … use drawings and equations to make sense of the words in problems.

Answer:

Aiden have 29 crayons this week.
Explanation:
Aiden has 27 fewer crayons this week than last week.  That means he has less crayons in this week. Last week he had 56 crayons. Here we have to perform subtraction operation. Subtract 27 crayons from 56 crayons then we got 29 crayons. Aiden have 29 crayons this week.

Visual Learning Bridge

Convince Me! How are these statements alike and different? Cal has 12 fewer blocks than Mia. Mia has 12 more blocks than Cal.
Answer :
Cal has 12 fewer blocks than Mia. Mia has 12 more blocks than Cal. These statements are alike in that both have a missing number of blocks. They are different in that one says how many more and the other how many less.

Guided Practice

Solve the problem any way you choose. Use drawings and equations to help.
Question 1.
Lakota has 11 fewer magnets than Jeffrey. Lakota has 25 magnets. How many magnets does Jeffrey have?

_________ magnets
Answer:

Jeffrey have 36 magnets.
Explanation:
Lakota has 11 fewer magnets than Jeffrey. Lakota has 25 magnets. That means Jeffrey have more magnets than Lakota. So we have to add the magnets. Add 25 magnets with 11 magnets then we got 36 magnets. Jeffrey have 36 magnets.

Independent Practice

Solve each problem any way you choose. Use drawings and equations to help. Show your work.
Question 2.
There are 28 more students than adults at 1 the school fair. There are 96 students at the school fair. How many adults are at the school fair?
_________ adults
Answer:

At the school fair there are 68 adults.
Explanation:
There are 28 more students than adults at 1 the school fair. There are 96 students at the school fair. Add 28 students with 68 adults results 96 students. At the school fair there are 68 adults.
Question 3.
Ellie the elephant has some peanuts. She eats 49 peanuts. Now Ellie the elephant has 31 peanuts. How many peanuts did she have before?
_________ peanuts
Answer:

Ellie have 80 peanuts before.
Explanation:
Ellie the elephant has some peanuts. She eats 49 peanuts. Now Ellie the elephant has 31 peanuts. Subtract 49 peanuts from 80 peanuts results 31 peanuts. Ellie have 80 peanuts before.

Question 4.
The blue team scores 16 fewer points than the green team. The blue team scores 41 points. How many points did the green team score?
_________ points
Answer:

Green Team score 57 points.
Explanation:
The blue team scores 16 fewer points than the green team. That means blue team score is less. The blue team scores 41 points. Here we have to perform addition operation. Add blue team fewer points with blue team score then we get green team score. Add 16 points with 41 points then we got 57 points. green team score is 57 points.

Question 15.
Higher Order Thinking Sean studies 16 fewer vocabulary words than Chris. Chris studies 10 fewer vocabulary words than Tia. Tia studies 34 words. How many words does Sean study? Explain your answer.
Answer:

Problem Solving

Solve the problem any way you choose. Use drawings and equations to help. Show your work.
Question 6.
Reasoning Kevin practices kicks for soccer. He kicks 13 times at recess. He kicks 14 times after school. Then he kicks 16 times before bed. How many practice kicks did Kevin take in all?

_________ kicks
Answer:

Question 7.
Higher Order Thinking There are 48 red tacks and blue tacks in a bag. There are fewer red tacks than blue tacks. There are at least 26 blue tacks but no more than 30 blue tacks. How many of each color could be in the bag?
Complete the chart to solve the problem.

Answer:

Explanation:
There are 48 red tacks and blue tacks in a bag. There are fewer red tacks than blue tacks. There are at least 26 blue tacks but no more than 30 blue tacks.
In first chance there are 22 red tacks and 26 blue tacks. Add 22 red tacks with 26 blue tacks then we got total number of red tacks and blue tacks in a bag are 48.
In second chance there are 21 red tacks and 27 blue tacks. Add 21 red tacks with 27 blue tacks then we got total number of red tacks and blue tacks in a bag are 48.
In third chance there are 20 red tacks and 28 blue tacks. Add 20 red tacks with 28 blue tacks then we got total number of red tacks and blue tacks in a bag are 48.
In fourth chance there are 19 red tacks and 29 blue tacks. Add 19 red tacks with 29 blue tacks then we got total number of red tacks and blue tacks in a bag are 48.
In fifth chance there are 18 red tacks and 30 blue tacks. Add 18 red tacks with 30 blue tacks then we got total number of red tacks and blue tacks in a bag are 48.

Question 18.
Assessment Practice Jim has 14 fewer baseball cards than Sara. Sara has 27 cards. How many baseball cards does Jim have?
Draw a line to show where each number and the unknown could be in the equation. Then solve.

_______ cards
Answer:

27 – 14 = 13
Jim have 13 baseball cards.
Explanation:
Jim has 14 fewer baseball cards than Sara. Sara has 27 cards. That means Jim have less cards then Sara. Here Sara have 27 baseball cards. Subtract fewer baseball cards from total number of baseball. Subtract 14 from 27 then we got 13 baseball cards. Jim have 13 baseball cards.

Lesson 7.3 Continue Practice with Addition and Subtraction Problems

Solve & Share
Erin has 17 more books than Isabella. Erin has 44 books. How many books does Isabella have?
Solve any way you choose. Show your work.
I can … use drawings and equations to make sense of the words in problems.
________ books
Answer:
44 – 17 = ?
44 – 17 = 27
Isabella have 27 books.
Explanation:
Erin has 17 more books than Isabella. That means Isabella have less books. Erin has 44 books. Here we have to perform subtraction operation. Subtract 17 more books of Erin from 44 books of Erin Then we get how many books does Isabella have. Subtract 17 from 44 then we got 27 books. Isabella have 27 books.

Visual Learning Bridge

Convince Me! Compare the two statements:
Sam has 18 more markers than Zoey.
Zoey has 18 fewer markers than Sam.
Answer:
Neither of the two statement say how many markers  does Sam has.

Guided Practice

Solve the problem any way you choose. Use drawings and equations to help.
Question 1.
The second grade has 19 more students than the first grade. The second grade has 68 students. How many students does the first grade have?

_________ students
Answer:

68 – 19 = ?
+1    +1
69 – 20 = 49
The first grade have 49 students.
Explanation:
The second grade has 19 more students than the first grade. That means first students are less. The second grade has 68 students. Subtract 19 more students from 68  second grade students then we get 49 students. The first grade have 49 students.

Independent Practice

Solve each problem any way you choose. Use drawings and equations to help. Show your work.
Question 2.
There are 11 more adults than children at a craft fair. There are 54 adults at the craft fair. How many children are at the craft fair?
_________ children
Answer:

There are 43 children at the craft fair.
Explanation:
There are 11 more adults than children at a craft fair. There are 54 adults at the craft fair. Subtract 11 adults from 54 adults then we get 43 children. There are 43 children at the craft fair.

Question 3.
Caleb is 17 years old. His sister is 12 years younger. How old is Caleb’s sister?
________ years old
Answer:

Caleb’s sister is 5 years old.
Explanation:
Caleb is 17 years old. His sister is 12 years younger. Subtract 12 years from 17 years then we got 5 years. Caleb’s sister is 5 years old.

Question 4.
Dylan and his friends had some blueberries. They ate 39 blueberries. They have 21 blueberries left. How many blueberries did Dylan and his friends have at first?
_________ blueberries
Answer:

At first Dylan and his friend have 60 blueberries.
Explanation:
Dylan and his friends had some blueberries. They ate 39 blueberries. They have 21 blueberries left. Add 39 blueberries with 21 blueberries then we got 60 blueberries. At first Dylan and his friend have 60 blueberries.

Question 5.
en Vision® STEM Addison made a dam with 18 more rocks than James. Addison’s dam had 42 rocks. How many rocks did James’s dam have? Explain your answer.
Answer:

James’s dam have 24 rocks.
Explanation:
Addison made a dam with 18 more rocks than James. Addison’s dam had 42 rocks. Subtract 18 rocks from 42 rocks then we got 24 rocks. James’s dam have 24 rocks.

Problem Solving

Solve the problem any way you choose. Use drawings and equations to help. Show your work.
Question 6.
Reasoning Connor has 39 sheets of green paper and some sheets of yellow paper. He has 78 sheets of paper in all. How many yellow sheets of paper does Connor have?

__________ yellow sheets
Answer:

Connor have 39 yellow sheets of paper.
Explanation:
Connor has 39 sheets of green paper and some sheets of yellow paper. He has 78 sheets of paper in all.  Subtract 39 sheets  of green paper from 78 sheets of paper in all then we get number of yellow sheets. By subtracting 39 from 78 results 39 yellow papers. Connor have 39 yellow sheets of paper.

Question 7.
Higher Order Thinking There are 58 red pens and blue pens in a bag. There are more red pens than blue pens. There are at least 36 red pens but no more than 40 red pens. How many of each color could be in the bag?
Complete the chart to solve the problem.

Answer:

Explanation:
There are 58 red pens and blue pens in a bag. There are more red pens than blue pens. There are at least 36 red pens but no more than 40 red pens.
In first chance red pens are 36 and blue pens are 22. Add red pens with blue pens then we got total number of pens in the bag. Add 36 red pens with 22 blue pens then we got 58 pens in the bag.
In second chance red pens are 37 and blue pens are 21. Add red pens with blue pens then we got total number of pens in the bag. Add 37 red pens with 21 blue pens then we got 58 pens in the bag.
In third chance red pens are 38 and blue pens are 20. Add red pens with blue pens then we got total number of pens in the bag. Add 38 red pens with 20 blue pens then we got 58 pens in the bag.
In fourth chance red pens are 39 and blue pens are 19. Add red pens with blue pens then we got total number of pens in the bag. Add 39 red pens with 19 blue pens then we got 58 pens in the bag.
In fifth chance red pens are 40 and blue pens are 18. Add red pens with blue pens then we got total number of pens in the bag. Add 40 red pens with 18 blue pens then we got 58 pens in the bag.

Question 18.
Assessment Practice Andrew has 63 more beanbags than Evan. Andrew has 92 beanbags. How many beanbags does Evan have?
The bar diagram models the problem. Which is the missing number?

A. 19
B. 29
C. 31
D. 39
Answer:

Evan bean bag   63 more bean bags
92 – 63 = ?
63 = 62 + 1
First we can subtract 62 and then 1
92 – 62 = 30
30 – 1 = 29
option B. 29 is correct.
Evan has 29 bean bags.
Explanation:
Andrew has 63 more beanbags than Evan. Andrew has 92 beanbags. That means Evan has less bean bags than Andrew. Here we have perform subtraction operation. Here 63 can be written as 62 + 1. So first subtract 62 bean bags from 92 bean bags then we got 30 bean bags. After that subtract 1 bean bag from 30 bean bags then we got 29 bean bags. Evan has 29 bean bags.

Lesson 7.4 Solve Two-Step Problems

Solve & Share
3 bees land on some flowers. 10 more bees join them. Then 4 bees fly away. How many bees are left?
Solve the problem any way you choose. Write equations to show how you solved each part of the problem.
I can model and solve two-step problems using equations.

Answer:

9 bees are left on flowers.
Explanation:
3 bees land on some flowers. 10 more bees join them. Here we have to perform addition operation. Add 3 bees with 10 more bees then we get 13 bees on flowers. Then 4 bees fly away. Here we have to perform subtraction operation. Subtract 4 bees from 13 bees then we get 9 bees. 9 bees are left on flowers.

Visual Learning Bridge

Convince Me! Read the problem below. What is the hidden question that you need to answer first?
Tom buys 15 pencils and then 7 more. He gives 10 pencils to Nyla. How many pencils does Tom have now?
Answer:
The hidden question is how many pencils does Tom buys in all.
15 + 7 = ?
15 + 7 = 22
Tom buys 22 pencils. Then he gave 10 pencils to Nyla.
22 – 10 = ?
22 – 10 = 12
Now Tom has 12 pencils.
Explanation:
Tom buys 15 pencils and then 7 more. He gives 10 pencils to Nyla. Here Tom buys total number of pencils is 22. After that he gave 10 pencils to Nyla. So subtract 10 pencils from total number of pencils are 22 then we got 12 pencils. Now Tom has 12 pencils.

Guided Practice

Solve any way you choose. Show your work. Write equations to solve both parts of the problem.
Question 1.
Carmen found 14 shells on Monday and 15 more shells on Tuesday. She found 6 more shells on Wednesday. How many shells did she have then?

_______ shells
Answer:

Carmen have 35 shells.
Explanation:
Carmen found 14 shells on Monday and 15 more shells on Tuesday. She found 6 more shells on Wednesday. First we have to add the shells that she had found in both Monday and Tuesday. She found 14 shells on Monday and 15 shells on Tuesday. Add 14 shells with 15 shells then she got 29 shells. She found 6 more shells on Wednesday. Add these 29 shells with 6 shells then we got 35 shells. Carmen have 35 shells now.

Independent Practice

Solve any way you choose. Show your work. Write equations to solve both parts of the problem.
Question 2.
There are 6 red birds and 17 brown birds in a tree. If 8 more brown birds come, how birds will there be in all?

________ birds
Answer:

There are 31 birds in all.
Explanation:
There are 6 red birds and 17 brown birds in a tree. 8 more brown birds came. First we have to add 6 red birds and 17 brown birds then we got 23 birds. There are 23 birds in a tree. After that 8 more brown birds came into a tree. Add 8 brown birds with 23 birds then we got 31 birds. There are 31 birds in all.

Question 3.
Erika saw 16 frogs on a lily pad and 8 frogs in the mud. If 7 of the frogs hop away, how many frogs will be left?

________ frogs
Answer:

There are 17 frogs left in the place.
Explanation:
Erika saw 16 frogs on a lily pad and 8 frogs in the mud. In that 7 of the frogs hop away. First we have to add16 frogs on a lily pad and 8 frogs in the mud then we get 24 frogs in total. In that 7 of the frogs hop away. So subtract 7 frogs from the total number of frogs then we got 17 frogs. There are 17 frogs left in that place.

Think: How can I break apart the problem into steps? What is the hidden problem that I need to solve first?

Question 4.
Higher Order Thinking Kevin has 15 photos in his scrapbook. He adds 21 photos. Then Kevin takes out some photos. Now he has 28 photos in the scrapbook. How many photos did Kevin take out?

________ photos
Answer:
The hidden question is how many photos in Kevin scrapbook.
15 + 21 = ?
15 + 21 = 36
Kevin has 36 photos in his scrapbook. Then Kevin takes out some photos. Now he has 28 photos in the scrapbook.
36 –  ? = 28
36 – 8 = 28

Kevin take out 8 photos from his scrapbook.
Explanation:
Kevin has 15 photos in his scrapbook. He adds 21 photos. Then Kevin takes out some photos. Now he has 28 photos in the scrapbook. First add 15 photos and 21 photos then we got 36 photos in his scrapbook. After that he take out some photos from his scrap book. We have to find out how many photos does he take out from the scrapbook. After taking out some photos from his scrap book he left with 28 photos. So subtract 8 photos from 36 photos then we got 28 photos. Kevin take out 8 photos from his scrap book.

Problem Solving

Solve each problem. Show your work.
Question 5.
Model There are 35 test questions. Kareem answers 10 of the questions. Then he answers 12 more questions. How many more questions does Kareem still need to answer?

__________ more questions
Answer:

Kareem still need to answer 13 questions.
Explanation:
There are 35 test questions. Kareem answers 10 of the questions. Then he answers 12 more questions. Perform addition operation on answered questions. Add 10 questions with 12 questions then we got 22 answered questions. Here we have to find out how many more questions does Kareem still need to answer. So subtract answered questions from total number of questions. Subtract 22 answered questions from total number of questions then we got 13 questions. Kareem still need to answer 13 questions.

Question 6.
Vocabulary Circle the equations that have a sum. Underline the equations that have a difference.
33 – 18 = 15
79 + 16 = 95
46 + 34 = 80
52 – 52 = 0
Answer:

Explanation:
In the above image we can observe 4 equations. Here we have to draw a circle for the equations that are having sum and we have to underline the equations that are having difference.

Question 7.
Algebra Find the missing numbers.

Answer:

The missing numbers are 65 and 82.
Explanation:
The missing number in first equation is 65.
The missing number in second equation is 82.

Question 8.
Higher Order Thinking There are 25 friends at a party. Another 20 friends arrive. Then some friends leave the party. Only 7 friends stay. How many friends leave the party?
Write two equations to solve the problem.
Answer:
25 + 20 = ?
25 + 20 = 45
45 – ? = 7
45 – 38 = 7
38 friends leave the party.
Explanation:
There are 25 friends at a party. Another 20 friends arrived. First add 25 friends and 20 friends then we got total number of friends in the party. The total number of friends in the party are 45. Then some friends leave the party. Only 7 friends stayed in the party. Subtract stayed friends in the party from total number of friends in the party then we get total number of friends left the party. Subtract 7 friends from 45 friends then we got 38 friends. 38 friends leave the party.

Question 9.
Assessment Practice Bill caught 22 fish and threw 6 fish back. He caught 8 more fish. How many fish does Bill have now? Which equations can be used to solve the problem?
A. 22 + 6 = 28 and 28 – 8 = 20
B. 22 – 6 = 16 and 8 – 6 = 2
C. 22 – 6 = 16 and 16 + 8 = 24
D. 22 + 6 = 28 and 28 + 8 = 36
Answer:
The equation in Option C is correct.
22 – 6 = 16 and 16 + 8 = 24
Bill have 24 fish now.
Explanation:
Bill caught 22 fish and threw 6 fish back. Here we have to perform subtraction operation first because he caught 22 fish and he threw 6 fish back. So subtract 6 fish from 22 fish then we got 16 fish. Bill caught 16 fish. He caught 8 more fish. Then we have to perform addition operation. Add 16 fish with 8 more fish then we got 24 fish. Bill have 24 fish now.

Lesson 7.5 Continue to Solve Two-Step Problems

Solve & Share
You have 26 library books. You return some books. Then you take out 15 more books. Now you have 27 books. How many books did you return? Solve any way you choose. Show your work.
I can … use different ways to solve two-step problems.

Answer:

I return 14 books.
Explanation:
I have 26 library books. I return some books. Then I take out 15 more books. Here I have to perform addition operation on 26 library books and 15 more books. Add 26 and 15 then I get 41 books. Here I return some books and now I have 27 books. So subtract 27 books from total number of books 41 then I got 14 books. Here I return 14 books to the library

Visual Learning Bridge

Convince Me! Why do you need two steps to solve the problem above?
Answer:
To solve above problem we need two steps in order to know how many birds there were in all and how many birds flew away.
First step is used to find the total number of birds does Mia can see. First we have to add 15 yellow birds with 16 red birds then we get total number of birds. Total number of birds are 31. Mia sees 31 birds in all.
Second step is used to find the how many birds flew away. Some birds flew away and now Mia sees only 14 birds. Here we have to perform subtraction operation. Subtract 14 birds from total number of birds are 31 then we got 17 birds. There are 14 birds left after 17 fly away.

Guided Practice

Complete the equations to solve.
Question 1.
There are some boys painting and 9 girls painting. In all, 17 children are painting. Then some more boys come to paint. Now there are 15 boys painting. How many more boys come to paint?

_________ more boys come to paint.
Answer:

7 more boys come to paint.
Explanation:
There are some boys painting and 9 girls painting. In all, 17 children are painting. In order to find how many boys are painting we need to perform subtraction operation on total number of children painting and number of girls painting. Subtract 9 girls from 17 children then we got 8 boys. 8 some boys are painting.
Then some more boys come to paint. Now there are 15 boys painting. Subtract 8 some boys painting from total number of boys painting in all then we get how many more number of boys added. Subtract 8 boys from 15 boys then we got 7 boys. 7 more boys come to paint.

Independent Practice

Solve each problem any way you choose. Show your work.
Question 2.
Jake has 16 toy cars. Lidia has 5 fewer toy cars than Jake. How many toy cars do they have in all?
They have __________ cars in all.
Answer:
Jake has 16 toy cars. Lidia has 5 fewer toy cars than Jake.
16 – 5 = ?
16 – 5 = 11
Lidia has 11 toy cars.
16 + 11 = 27
Jake and Lidia have 27 toy cars in all.
Explanation:
Jake has 16 toy cars. Lidia has 5 fewer toy cars than Jake. That means Lidia has less cars. Subtract 5 toy cars from 16 toy cars then we get 11 toy cars. Lidia has 11 toy cars. Then we have to find total number of toy cars. Add 16 toy cars of Jake with 11 toy cars of Lidia then we got 27 toy cars. Jake and Lidia have 27 toy cars in all.

Question 3.
Sandy has 12 balloons. Tom has 11 more balloons than Sandy. Some of Tom’s balloons popped and now he has 14 balloons. How many balloons popped?
___________ balloons popped.
Answer:
Sandy has 12 balloons. Tom has 11 more balloons than Sandy.
12 + 11 = ?
12 + 11 = 23
Tom has 23 balloons.
Some of Tom’s balloons popped and now he has 14 balloons.
23 – ? = 14
23 – 9 = 14
9 balloons popped.
Explanation:
Sandy has 12 balloons. Tom has 11 more balloons than Sandy. Perform addition operation on 12 balloons and 11 balloons then we get 23 balloons. Tom has 23 balloons. Some of Tom’s balloons popped and now he has 14 balloons. Subtract 14 balloons from 23 balloons then we got 9 balloons. 9 balloons popped.

Question 4.
25 wolves howl together in the woods. 14 wolves join them. Then 22 wolves run away. How many wolves are left?
_________ wolves are left.
Answer:
25 wolves howl together in the woods. 14 wolves join them.
25 + 14 = 39
Then 22 wolves run away.
39 – 22 = ?
39 – 22 =17
17 wolves are left.
Explanation:
25 wolves howl together in the woods. 14 wolves join them. Perform addition operation on wolves howl together in the woods and joined wolves. Add 25 wolves and 14 wolves then we get 39 wolves. Then 22 wolves run away. By Subtracting 22 wolves from 39 wolves we get total number of wolves left. 17 wolves are left.

Question 5.
Higher Order Thinking Explain how you solved Item 4.
Answer:
Item 4 is solved by using two equations.
25 wolves howl together in the woods. 14 wolves join them.
25 + 14 = 39
Then 22 wolves run away.
39 – 22 = ?
39 – 22 =17
17 wolves are left.
Explanation:
25 wolves howl together in the woods. 14 wolves join them. Perform addition operation on wolves howl together in the woods and joined wolves. Add 25 wolves and 14 wolves then we get 39 wolves. Then 22 wolves run away. By Subtracting 22 wolves from 39 wolves we get total number of wolves left. 17 wolves are left.

Problem Solving

Solve each problem. Show your work.
Question 6.
Make Sense Tim bakes 24 more muffins than Gina. Gina bakes 13 muffins. Lea bakes 16 fewer muffins than Tim.
How many muffins does Lea bake?

________ muffins
Answer:
Tim bakes 24 more muffins than Gina. Gina bakes 13 muffins.
13 + 24 = ?
13 + 24 = 37
Tim bake 37 muffins.
Lea bakes 16 fewer muffins than Tim.
37 – 16 = ?
37 – 16 = 21
Lea bake 21 muffins.
Explanation:
Tim bakes 24 more muffins than Gina. Gina bakes 13 muffins. Add 13 muffins with 24 muffins then we get 37 muffins. Tim bake 37 muffins. Lea bakes 16 fewer muffins than Tim. Subtract 16 muffins from 37 muffins then we got 21 muffins. Lea bake 21 muffins.

Question 7.
Higher Order Thinking Write a two-step number story using the numbers 36, 65, and 16. Then solve the problem. Write equations to show each step.

Answer:
Ram scores 36 points. Next, he scores 65 points. Then he loses 16 points. How many points does Ram have now?

Now Ram have 85 points.
Explanation:
Ram scores 36 points. Next, he scores 65 points. Add 36 points with 85 points then we get 101 points. Then he loses 16 points. Subtract 16 points from 101 points then we got 85 points. Now Ram have 85 points.

Question 8.
Assessment Practice There are 44 marbles in a jar. Some are red and 23 are blue. Julie adds 13 red marbles to the jar. How many red marbles are in the jar now?

Which equations show a way to solve the problem?
A. 44 – 23 = 21
21 + 13 = 34

B. 44 – 23 = 21
21 – 13 = 8

C. 23 + 21 = 44
44 – 13 = 31.

D. 23 + 44 = 67
67 + 13 = 80
Answer:
Option A is correct to solve the problem.
44 – 23 = 21
21 + 13 = 34
There are 34 red marbles in the jar now.
Explanation:
There are 44 marbles in a jar. Some are red and 23 are blue. First perform subtraction operation to find the red marbles in the jar. Subtract 23 blue marbles from total number of marbles in the jar are 44 then we got 21 red marbles. Julie adds 13 red marbles to the jar. Next perform addition operation because here Julie added 13 red marbles to the jar. Add 13 red marbles and 21 red marbles then we got 34 red marbles. Now there are 34 red marbles in the jar.

Lesson 7.6 Make True Equations

Solve & Share
What number goes in the blank to make this equation true? Show how you found out.
I can … fill in missing numbers in equations to make them true.

Answer:

17 – 9 = 6 + ?
8 = 6 + ?
8 = 6 + 2
8 = 8
The missing number in the above equation is 2.
Explanation:
Here ‘=’ means the value on both sides is the same. Here first I can find 17 – 9 = 8. After that we have to find the remaining part 8 = 6 + ?. Here 8 is equal to 6 plus some number. By adding 2 to the 6 results 8. Here we have to check both sides of the equal sign have the same value or not.
Here 8 = 8
So 17 – 9 = 6 + 2
The missing number in the above equation is 2.

Visual Learning Bridge

Convince Me! What number goes in the blank to make this equation true? Explain how you know.
______ – 5 = 14 – 7
Answer:
12 – 5 = 14 – 7
The missing number in the above equation is 12.
Explanation:
Here ‘=’ means the value on both sides is the same. Here first I can find 14 – 7 = 7. After that we have to find the remaining part ? – 5 = 7. Here 5 can be subtracted from what number to get 7. Subtract 5 from 12 then we get 7. Here we have to check both sides of the equal sign have the same value or not.
Here 7 = 7
So 12 – 5 = 14 – 7
The missing number that makes the above equation true is 12.

Guided Practice

Write the missing number that makes each equation true.
Question 1.
15 – ? = 2 + 4

Answer :
The missing number that makes the equation true is 9.
Explanation:
Here ‘=’ means the value on both sides is the same. Here first we have find 2 + 4 = 6. After that we have to find the remaining part 15 – ? = 6. Here 6 is equal to the number 15 minus some number. By subtracting 9 from the 15 results 6. Here we have to check both sides of the equal sign have the same value or not.
Here 6 = 6
So 15 – 9 = 2 + 4
The missing number in the that makes the equation true is 9.

Question 2.
25 + 10 = 43 – ?
______ = 43 – ?
______ = 43 – ______
So,
25 + 10 = 43 – ______
Answer:
25 + 10 = 43 – ?
35 = 43 – ?
35 + 5 = 40
40 + 3 = 43
So add 5 and 3 the we got 8
35 = 43 – 8
35 = 35
So,
25 + 10 = 43 – 8
The missing number that makes the equation true is 8.
Explanation:
Here ‘=’ means the value on both sides is the same. First add 25 and 10 then we got 35. After that we have to find out what number we can subtract from 43 to get 35. Add 5 to the 35 then we got 40. Add 3 to the 40 then we got 43. So add 5 with 3 then we get 8. The missing number that makes the equation true is 8.

Independent Practice

Write the missing number that makes each equation true. Show your work.
Question 3.
9 + ______ = 8 + 8
Answer:
9 + ? = 8 + 8
9 + ? = 16
9 + 7 = 16
16 = 16
The missing number that makes the equation true is 7.
Explanation:
Here ‘=’ means the value on both sides is the same. Here first we can find 8 + 8 = 16. After that we have to find the remaining part 9 + ? = 16. Here 16 is equal to 9 plus some number. By adding 7 to the 9 results 16. Here we have to check both sides of the equal sign have the same value or not.
Here 16 = 16
So 9 + 7 = 8 + 8
The missing number that makes the equation true is 7.

Question 4.
16 – 8 = 10 – ______
Answer:
16 – 8 = 10 – ?
8 = 10 – 2
8 = 8
The missing number that makes the equation true is 2.
Explanation:
Here ‘=’ means the value on both sides is the same. Here first we have to find 16 – 8 = 8. After that we have to find the remaining part 8 = 10 – ?. Here 8 is equal to 10 minus some number. By subtracting 2 from the 10 results 8. Here we have to check both sides of the equal sign have the same value or not.
Here 8 = 8
So 16 – 8 = 10 – 2
The missing number that makes the equation true is 2.

Question 5.
______ – 4 = 16 – 5
Answer:
? – 4 = 16 – 5
? – 4 = 11
15 – 4 = 11
11 = 11
The missing number that makes the equation true is 15.
Explanation:
Here ‘=’ means the value on both sides is the same. Here first we have to find 16 – 5 = 11. After that we have to find the remaining part ? – 4 = 11. Here 11 is equal to the number 4 is subtracted from some number. By subtracting 4 from the 15 results 11. Here we have to check both sides of the equal sign have the same value or not.
Here 11 = 11
So 15 – 4 = 16 – 5
The missing number that makes the equation true is 15.

Question 6.
17 – 12 = 10 – ______
Answer:
17 – 12 = 10 – ?
5 = 10 – ?
5 = 10 – 5
5 = 5
The missing number that makes the equation true is 5.
Explanation:
Here ‘=’ means the value on both sides is the same. Here first we have to find 17 – 12 = 5. After that we have to find the remaining part 5 = 10 – ?. Here 5 is equal to 10 minus some number. By subtracting 5 from the 10 results 5. Here we have to check both sides of the equal sign have the same value or not.
Here 5 = 5
So 17 – 12 = 10 – 5
The missing number that makes the equation true is 5.

Question 7.
______ – 3 = 5 + 12
Answer:
? – 3 = 5 + 12
? – 3 = 17
20 – 3 = 17
17 = 17
The missing number that makes the equation true is 20.
Explanation:
Here ‘=’ means the value on both sides is the same. Here first we have to find 5 + 12 = 17. After that we have to find the remaining part ? – 3 = 17. Here 17 is equal to the number 3 is subtracted from some number. By subtracting 3 from 20 results 17. Here we have to check both sides of the equal sign have the same value or not.
Here 17 = 17
So 20 – 3 = 5 + 12
The missing number that makes the equation true is 20.

Question 8.
18 – ______ = 3 + 6
Answer:
18 – ? = 3 + 6
18 – ? = 9
18 – 9 = 9
9 = 9
The missing number that makes the equation true is 9.
Explanation:
Here ‘=’ means the value on both sides is the same. Here first we have to find 3 + 6 = 9. After that we have to find the remaining part 18 – ? = 9. Here 9 is equal to 18 minus some number. By subtracting 9 from 18 results 9. Here we have to check both sides of the equal sign have the same value or not.
Here 9 = 9
So 18 – 9 = 3 + 6
The missing number that makes the equation true is 9.

Question 9.
27 + 20 = 17 + ______
Answer:
27 + 20 = 17 + ?
47 = 17 + ?
47 = 17 + 30
47 = 47
The missing number that makes the equation true is 30.
Explanation:
Here ‘=’ means the value on both sides is the same. Here first we have to find 27 + 20 = 47. After that we have to find the remaining part 47 = 17 + ?. Here 47 is equal to the number 17 plus some number. By adding 17 with the 30 results 47. Here we have to check both sides of the equal sign have the same value or not.
Here 47 = 47
So 27 + 20 = 17 + 30
The missing number that makes the equation true is 30.

Question 10.
56 – 20 = 30 + ______
Answer:
56 – 20 = 30 + ?
36 = 30 + ?
36 = 30 + 6
36 = 36
The missing number that makes the equation true is 6.
Explanation:
Here ‘=’ means the value on both sides is the same. Here first we have to find 56 – 20 = 36. After that we have to find the remaining part 36 = 30 + ?. Here 36 is equal to the 30 plus some number. By adding 6 to the 30 results 36. Here we have to check both sides of the equal sign have the same value or not.
Here 36 = 36
So 56 – 20 = 30 + 6
The missing number that makes the equation true is 6.

Question 11.
45 – 10 = 40 – ______
Answer:
45 – 10 = 40 – ?
35 = 40 – ?
35 = 40 – 5
35 = 35
The missing number that makes the equation true is 5.
Explanation:
Here ‘=’ means the value on both sides is the same. Here first we have to find 45 – 10 = 35. After that we have to find the remaining part 35 = 40 – ?. Here 35 is equal to the number 40 minus some number. By subtracting 5 from the 40 results 35. Here we have to check both sides of the equal sign have the same value or not.
Here 35 = 35
So 45 – 10 = 40 – 5
The missing number that makes the equation true is 5.

Question 12.
Algebra Write the missing number in the equation below. Explain how you know.
I can solve the problem without adding!
______ + 5 + 6 = 6 + 9 + 5
Answer:
9 + 5 + 6 = 6 + 9 + 5
The missing number in the above equation is 9.
Explanation:
Here we can see both sides 3 addends are there. In that equation right side addends are 6, 9 , 5. In left side addends we can observe two addends are same in right side part. So the missing number is 9. We solved the problem without adding numbers.

Problem Solving

Write an equation to show each problem. Then solve. Show your work.
Question 13.
Reasoning Teresa has 4 daisies and 5 roses. Sam has 15 flowers. How many flowers would Sam need to give away so that he has the same number of flowers as Teresa?
_________ flowers
Answer:
4 + 5 = 15 – ?
9 = 15 – ?
9 = 15 – 6
9 = 9
Sam need to give away 6 flowers So that he has the same number of flowers as Teresa.
Explanation:
Teresa has 4 daisies and 5 roses. First add Teresa flowers. Add 4 daisies with 5 roses then we got 9 flowers. Here Sam has 15 flowers. Sam need to give away some flowers so that he has the same number of flowers as Teresa. So subtract 6 flowers from 15 flowers then we got 9 flowers. Now Sam has 9 flowers. Sam need to give away 6 flowers.

Question 14.
Reasoning Karen had $14 and spent $6. Larry had some money and spent $3. Now Karen and Larry have the same amount of money. How much money did Larry have before he spent $3?
$ _________
Answer:
$14 – $ 6 = ? – $ 3
$8 = ? – $3
$8 = $11 – $3
$8 = $8
Larry have $11 before he spent $3.
Explanation:
Karen had $14 and spent $6. So Subtract $6 from $14 then we got $8. Larry had some money and spent $3. Subtract $3 from $11 then we got $8. Now Karen and Larry have the same amount of money. Larry have $11 before he spent $3.

Question 15.
Higher Order Thinking Todd has the same number of fruits and vegetables. He has 3 apples and 7 oranges. He has 6 carrots and some onions. How many onions does Todd have? Tell how you know.
Answer:
3 apples + 7 oranges = 6 carrots + ? onions
Todd has the same number of fruits and vegetables.
3 + 7 = 6 +?
10 = 6 + ?
10 = 6 + 4
10 = 10
Todd have 4 onions.
Explanation:
Todd has the same number of fruits and vegetables. He has 3 apples and 7 oranges. First add fruits 3 + 7 = 10. There are 10 fruits. He has 6 carrots and some onions. Add 6 carrots with 4 onions then we got 10 vegetables. Todd have 4 onions.

Question 16.
Assessment Practice Match each number with the equation it is missing from.

Answer:

Explanation:
In first equation the missing number is 8. The equation is 1 + 3  = 12 – 8.
In second equation the missing number is 10. The equation is 10 + 2 = 6 + 6.
In third equation the missing number is 6. The equation is 4 + 7 = 5 + 6.
In fourth equation the missing number is 7. The equation is 7 – 2 = 12 – 7.

Lesson 7.7 Continue to Make True Equations

Solve & Share
Find the missing number to make the equation true. Show your work.
? – 9 = 22 – 7
How could you check your work? Is there a tool you could use? Explain.
I can … find the missing number in equations to make equations true.

Answer:

The missing number that makes the equation true is 24.
Explanation:
Here ‘=’ means the value on both sides is the same. Here first we can find 22 – 7 = 15. After that we have to find the remaining part ? – 9 = 15. Here 15 is equal to the number 9 subtracted from some number. By subtracting 9 from the 24  results 15. Here we have to check both sides of the equal sign have the same value or not.
Here 15 = 15
So 24 – 9 = 22 – 7
The missing number in the above equation is 24.

Visual Learning Bridge

Convince Me! What number goes in the blank to make this equation true? Explain how you know.
Answer:
Here ‘=’ means the value on both sides is the same. Here first we have find 45 + 10 + 10 = 65. After that we have to find the remaining part 65 = ? + 19. Here 65 is equal to the number 19 plus some number. By adding 46 to the 19 results 65. Here we have to check both sides of the equal sign have the same value or not.
Here 65 = 65
So 45 + 10 + 10 = 46 + 19
The missing number that makes the equation true is 46.

Guided Practice

Write the missing numbers to make the equations true.
Question 1.
8 + 10 + 12 = ? + 20

Answer:
The missing number that makes the equation true is 10.
Explanation:
Here ‘=’ means the value on both sides is the same. Here first we have find 8 + 10 + 12 = 30. After that we have to find the remaining part 30 = ? +20. Here 30 is equal to the number 20 plus some number. By adding 10 to the 20 results 30. Here we have to check both sides of the equal sign have the same value or not.
Here 30 = 30
So 8 + 10 + 12 = 10 + 20
The missing number that makes the equation true is 10.

Question 2.
20 + 13 + 7 = 49 – ?
20 + 13 + 7 = _____
40 = 49 = ______
So,
20 + 13 + 7 = 49 – _______
Answer:
20 + 13 + 7 = 49 – ?
20 + 13 + 7 = 40
40 = 49 – ?
40 = 49 – 9
40 = 40
So,
20 + 13 + 7 = 49 – 9
The missing number that makes the equation true is 9.
Explanation:
Here ‘=’ means the value on both sides is the same. Here first we have find 20 + 13 + 7 = 40. After that we have to find the remaining part 40 = 49 – ?. Here 40 is equal to the number 49 minus some number. By subtracting 9 from the 49 results 40. Here we have to check both sides of the equal sign have the same value or not.
Here 40 = 40
So 20 + 13 + 7 = 49 – 9
The missing number that makes the equation true is 9.

Independent Practice

Find the missing number that makes each equation true. Show your work.
Question 3.
25 + _______ = 6 + 20 + 4
Answer:
25 + ? = 6 + 20 + 4
6 + 20 + 4 = 30
25 + ? = 30
25 + 5 = 30
30 = 30
The missing number that makes the equation true is 5.
Explanation:
Here ‘=’ means the value on both sides is the same. Here first we have find 6 + 20 + 4 = 30. After that we have to find the remaining part 25 + ? = 30. Here 30 is equal to the number 25 plus some number. By adding 25 to the 5 results 30. Here we have to check both sides of the equal sign have the same value or not.
Here 30 = 30
So 25 + 5 = 6 + 20 + 4
The missing number that makes the equation true is 5

Question 4.
10 + 3 + 27 = 30 + _______
Answer:
10 + 3 + 27 = 30 + ?
10 + 3 + 27 = 40
40 = 30 + ?
40 = 30 + 10
40 = 40
The missing number that makes the equation true is 10.
Explanation:
Here ‘=’ means the value on both sides is the same. Here first we have find 10 + 3 + 27 = 40. After that we have to find the remaining part 40 = 30 + ?. Here 40 is equal to the number 30 plus some number. By adding 10 to the 30 results 40. Here we have to check both sides of the equal sign have the same value or not.
Here 40 = 40
So 10 + 3 + 27 = 30 + 10
The missing number that makes the equation true is 10.

Question 5.
48 – _______ = 12 + 12 + 4
Answer:
48 – ? = 12 + 12 + 4
12 + 12 + 4 = 28
48 – ? = 28
48 – 20 = 28
28 = 28
The missing number that makes the equation true is 20.
Explanation:
Here ‘=’ means the value on both sides is the same. Here first we have find 12 + 12 + 4 = 28. After that we have to find the remaining part 48 – ? = 28. Here 28 is equal to the number 48 minus some number. By subtracting 20 from the 48 results 28. Here we have to check both sides of the equal sign have the same value or not.
Here 28 = 28
So 48 – 20 = 12 + 12 + 4
The missing number that makes the equation true is 20.

Question 6.
47 – 5 = 10 + 10 + _______
Answer:
47 – 5 = 10 + 10 + ?
47 – 5 = 42
42 = 10 + 10 + ?
42 = 10 + 10 + 22
42 = 42
The missing number that makes the equation true is 22.
Explanation:
Here ‘=’ means the value on both sides is the same. Here first we have find 47 – 5 = 42. After that we have to find the remaining part 42 = 10 + 10 + ?. Here 42 is equal to the number 20 plus some number. By adding 20 to the 22 results 42. Here we have to check both sides of the equal sign have the same value or not.
Here 42 = 42
So 47 – 5 = 10 + 10 + 22
The missing number that makes the equation true is 22.

Question 7.
32 + 14 + 18 = 50 + _______
Answer:
32 + 14 + 18 = 50 + ?
32 + 14 + 18 = 64
64 = 50 + ?
64 = 50 + 14
64 = 64
The missing number that makes the equation true is 14.
Explanation:
Here ‘=’ means the value on both sides is the same. Here first we have find 32 + 14 + 18 = 64. After that we have to find the remaining part 64 = 50 + ?. Here 64 is equal to the number 50 plus some number. By adding 50 to the 14 results 64. Here we have to check both sides of the equal sign have the same value or not.
Here 64 = 64
So 32 + 14 + 18 = 50 + 14
The missing number that makes the equation true is 14.

Question 8.
43 + 10 + 20 = 95 – _______
Answer:
43 + 10 + 20 = 95 – ?
43 + 10 + 20 = 73
73 = 95 – ?
73 = 95 – 22
73 = 73
The missing number that makes the equation true is 22.
Explanation:
Here ‘=’ means the value on both sides is the same. Here first we have find 43 + 10 + 20 = 73. After that we have to find the remaining part 73 = 95 – ?. Here 73 is equal to the number 95 minus some number. By subtracting 22 from the 95 results 73. Here we have to check both sides of the equal sign have the same value or not.
Here 73 = 73
So 43 + 10 + 20 = 95 – 22
The missing number that makes the equation true is 22.

Question 9.
28 + 30 = 17 + 13 + _______.
Answer:
28 + 30 = 17 + 13 + ?
28 + 30 = 58
58 = 17 + 13 + ?
58 = 17 + 13 + 28
58 = 58
The missing number that makes the equation true is 28.
Explanation:
Here ‘=’ means the value on both sides is the same. Here first we have find 28 + 30 = 58. After that we have to find the remaining part 58 = 17 + 13 + ?. Here 58 is equal to the number 30 plus some number. By adding 30 to the 28 results 58. Here we have to check both sides of the equal sign have the same value or not.
Here 58 = 58
So 28 + 30 = 17 + 13 + 28
The missing number that makes the equation true is 28.

Question 10.
56 – 20 = 18 + 12 + _______
Answer:
56 – 20 = 18 + 12 + ?
56 – 20 = 36
36 = 18 + 12 + ?
36 = 18 + 12 + 6
36 = 36
The missing number that makes the equation true is 6.
Explanation:
Here ‘=’ means the value on both sides is the same. Here first we have find 56 – 20 = 36. After that we have to find the remaining part 36 = 18 + 12 + ?. Here 36 is equal to the number 30 plus some number. By adding 30 to the 6 results 36. Here we have to check both sides of the equal sign have the same value or not.
Here 36 = 36
So 56 – 20 = 18 + 12 + 6
The missing number that makes the equation true is 6.

Question 11.
21 + 5 + 19 = 65 – _______
Answer:
21 + 5 + 19 = 65 – ?
21 + 5 + 19 = 45
45 = 65 – ?
45 = 65 – 20
45 = 45
The missing number that makes the equation true is 20.
Explanation:
Here ‘=’ means the value on both sides is the same. Here first we have find 21 + 5 + 19 = 45. After that we have to find the remaining part 45 = 65 – ?. Here 45 is equal to the number 65 minus some number. By subtracting 20 from the 65 results 45. Here we have to check both sides of the equal sign have the same value or not.
Here 45 = 45
So 21 + 5 + 19 = 65 – 20
The missing number in the that makes the equation true is 20.

Question 12.
Algebra Write the missing number in the equation. Explain how you know.
_______ + 25 + 18 = 18 + 20 + 25
I can solve the problem without adding.
Answer:
? + 25 + 18 = 18 + 20 + 25
20 + 25 + 18 = 18 + 20 + 25
The missing number in the above equation is 20.
Explanation:
In the above equation we can observe three addends on both sides. Right side addends are 18, 20, 25. The left side addends are also same. The left side addends are 20, 25, 18. we can solve the equation without addition operation.

Problem Solving

Write an equation to show each problem. Then solve. Show your work.
Question 13.
Reasoning Gemma had some game tokens and then earned 8 more. Ana had 32 tokens and lost 4. Now they have an equal number of tokens. How many tokens did Gemma have to start?
_______ tokens
Answer:
? + 8 = 32 – 4
? + 8 = 28
20 + 8 = 28
28 = 28
Gemma have 20 tokens to start the game.
Explanation:
Gemma had some game tokens and then earned 8 more. Ana had 32 tokens and lost 4. Subtract lost tokens from total number of tokens of Ana. Subtract 4 tokens from 32 tokens then we got 28 tokens. Now they have an equal number of tokens. Add 20 tokens with 8 tokens of Gemma then we got 28 tokens. Gemma have 20 tokens to start the game.

Question 14.
Reasoning Jill and Tim have the same number of toy cars. Tim has 10 red cars and 20 blue cars. Jill has 8 red cars, 15 blue cars, and some yellow cars. How many yellow cars does Jill have?
_________ yellow cars
Answer:
10 + 20 = 8 + 15 + ?
30 = 8 + 15 + ?
30 = 8 + 15 + 7
30 = 30
Jill have 7 yellow cars.
Explanation:
Jill and Tim have the same number of toy cars. Tim has 10 red cars and 20 blue cars. Perform addition operation on 10 red cars plus 20 blue cars results 30 cars. Jill has 8 red cars, 15 blue cars, and some yellow cars. Here we have to find yellow cars of Jill. By adding 8 red cars plus 15 blue cars results 23 cars of Jill. Add 23 cars with 7 cars results 30 cars. Jill have 7 yellow cars.

Question 15.
Higher Order Thinking Kate plays a card game with two friends. She gives 5 cards to each player. Ten plus what number is equal to the total number of cards Kate gives out?
Write an equation to show and solve the problem.
Answer:
10 + 0 = 10
Kate gives 10 cards.
Explanation:
Kate plays a card game with two friends. She gives 5 cards to each player. Total he gave 10 cards.

Question 16.
Assessment Practice Match each number with the equation it is missing from.

Answer:

Explanation
In first equation the missing number is 19. The equation is 8 +17 + 5 = 49 – 19.
In second equation the missing number is 20. The equation is 20 + 12 = 6 + 6 + 20.
In third equation the missing number is 32. The equation is 8 + 20 + 12 = 32 + 8.
In fourth equation the missing number is 22. The equation is 22 + 15 = 17 + 10 + 10.

Lesson 7.8 Problem Solving

Reasoning
Solve & Share
Write a number story that has an answer of 20. Then write an equation to match your story.
I can … use reasoning to write and solve number stories.

Answer:

There are 20 Aeroplanes in all at the airport.
Explanation:
There are 14 blue Aeroplanes and 6 red Aeroplanes at the airport. By adding 14 blue planes and 6 red planes results 20 aeroplanes. There are 20 Aeroplanes in all at the airport.

Thinking Habits
How are the numbers in the problem related?
How can I use a word problem to show what the equation means?

Visual Learning Bridge

Convince Me! Write a number story about comparing for 68 – 33 = ?.
Answer:
68 – 33 = ?
There are 68 second grade students. Some of them go to school on campus for a couple of days each week. The rest of the 33 students stay at home every day the whole week. How many students go to school on campus?
68 – 33 = 35

Guided Practice

Complete the number story. Then complete the equation to match the story. Draw a picture to help, if needed.
Question 1.
47 – 18 = _______
Blake collects 47 cans.
He recycles 18 cans.
How many cans does Blake have now?
________ cans
Answer:
47 – 18 = ?
Blake collects 47 cans. He recycles 18 cans. How many cans does Blake have now?
47 – 18 = ?
+2  + 2
49 – 20 = 29
Blake have 29 cans.
Explanation:
Blake collects 47 cans. He recycles 18 cans. Subtract 18 cans from 47 cans then we got 29 cans. Now Blake have 29 cans.

Independent Practice

Write a number story to show the problem. Complete the equation to match your story.
Question 2.
22 – 17 = _______
Answer:
Rosy have 22 grapes to her parrot. The parrot ate 17 grapes. How many grapes are left?
22 – 17 = ?
– 2  – 2
20 – 15 = 5
5 grapes are left.
Explanation:
Rosy have 22 grapes to her parrot. The parrot ate 17 grapes. Here we have to subtract 17 grapes from 22 grapes then we get number of grapes left. Total number of grapes left are 5.

Question 3.
84 – 62 = _______
Answer:
84 – 62 = ?
There are 84 birds on a tree. Then 62 birds flew away. How many birds are left on a tree?
84 – 62 = ?
-2   -2
82 – 60 = 22
22 birds are left on a tree.
Explanation:
There are 84 birds on a tree. Then 62 birds flew away. Subtract 62 birds from 84 birds then we get total number of birds left on a tree. There are 22 birds left on a tree.

Question 4.
28 + 12 = _________
Answer:
28 + 12 = ?
There are 28 brinjals in the basket. Mother put 12 more brinjals in the basket. How many brinjals are there altogether?
28 + 12 = 40
Altogether 40 brinjals are there.
Explanation:
There are 28 brinjals in the basket. Mother put 12 more brinjals in the basket. Perform addition operation on 28 brinjals and 12 more brinjals then we get 40 brinjals. There are 40 brinjals altogether.

Question 5.
39 + 47 = _________
Answer:
There are 39 red robots and 47 green robots on the building. How many robots are there in all?
39 + 47 = 86
There are 86 robots in all.
Explanation:
There are 39 red robots and 47 green robots on the building. perform addition operation on 39 red robots and 47 green robots then we get 86 robots. There are 86 robots in all.

Problem Solving

Performance Task
Toy Car Collection The picture at the right shows a toy car collection. Use the picture to write and solve number story problems.

Question 6.
Reasoning Write an addition story about the toy car collection.
Answer:
16 + 24 =?
In a room 16 green toy cars and 24 orange toy cars. How many toy cars are there in all ?
16 + 24 = 40
There are 40 toy cars in all.
Explanation:
In a room 16 green toy cars and 24 orange toy cars. Add 16 green toy cars and 24 orange toy cars then we get total number of toy cars are 40. There are 40 toy cars in all.

Question 7.
Reasoning Write a subtraction comparison story about the collection.
Answer:
There were 5 soccer balls and 9 footballs in the gym. How many fewer soccer balls were there than footballs?
9 – 5 = ?
9 – 5 = 4
There are 4 fewer soccer balls than footballs.
Explanation:
There were 5 soccer balls and 9 footballs in the gym. Subtract 5 soccer balls from 9 footballs then we get 4 balls. There are 4 fewer soccer balls than footballs.

Question 8.
Model Write an equation for each number story that you wrote in Item 6 and Item 7. Then solve any way you choose. Show your work.
Answer:
The equation for item 6 number story is 16 + 24 = ?
The equation for item 7 number story is 9 – 5 = ?

Explanation:
For item 6 In a room 16 green toy cars and 24 orange toy cars. Add 16 green toy cars and 24 orange toy cars then we get total number of toy cars are 40. There are 40 toy cars in all.
For item 7 there were 5 soccer balls and 9 footballs in the gym. Subtract 5 soccer balls from 9 footballs then we get 4 balls. There are 4 fewer soccer balls than footballs.

Topic 7 Fluency Practice Activity

Find a Match
Find a partner. Point to a clue. Read the clue.
Look below the clues to find a match. Write the clue letter in the box next to the match.
Find a match for every clue.
I can … add and subtract within 20.

Clues
A. is equal to 5 + 4
B. is equal to 8 + 7
C. is equal to 20 – 10
D. is equal to 12 – 7
E. is equal to 9 + 3
F. is equal to 13 – 9
G. is equal to 11 – 8
H. is equal to 7 + 6
I. Is equal to 2 + 4
J. Is equal to 5 +6
K. is equal to 14 – 7
L. is equal to 10 + 6

Answer:

Explanation:
A. 18 – 9 is equal to 5 + 4
B. 9 + 6 is equal to 8 + 7
C.19 – 9 is equal to 20 – 10
D.13 – 8 is equal to 12 – 7
E. 6 + 6 is equal to 9 + 3
F.12 – 8 is equal to 13 – 9
G. 10 – 7 is equal to 11 – 8
H. 4 + 9 is equal to 7 + 6
I. 13 – 7 is equal to 2 + 4
J. 8 + 3 is equal to 5 +6
K.15 – 8 is equal to 14 – 7
L. 8 + 8 is equal to 10 + 6

Topic 7 Vocabulary Review

Understand Vocabulary
Word List

• bar diagram
• compatible numbers
• difference
• equation
• open number line
• regroup
• sum

Write T for true or F for false.
Question 1.
________ An equation is a model you can use to help solve a problem.
Answer:
True (T)

Question 2.
________ 43 is the difference in the equation 43 – 16 = 27.
Answer:
False (F)

Question 3.
__________ Addition and subtraction can be shown using a bar diagram.
Answer:
True (T)

Question 4.
_________ An equation is a model you can use to represent a problem.
Answer:
True (T)

Question 5.
_________ A sum is the answer to a subtraction problem.
Answer:
False (F)

Draw a line from each term to its example.

Answer:

Explanation:
6. Regrouping in math is a term used to describe the process of changing groups of ones into tens to make adding and subtracting easier. In addition, we regroup when the numbers you are adding come out to two digit numbers if they are not in the furthermost left column. Here 15 ones = 1 ten and 5 ones.
7. Sum is the result of adding two or more numbers. Here the answer to 18 + 45 is called as sum.
8. A number line with no numbers or tick marks is called as open number line.

Use Vocabulary in Writing
Question 9.
Explain how you can count on to find 58 + 23. Use at least one term from the Word List.
Answer:

Topic 7 Reteaching

Set A

You can model problems.
A store has some rings. Then 34 rings are sold. Now the store has 47 rings. How many rings did the store have at first?

Write an equation with a ? for the unknown to represent the problem. Then solve using the bar diagram.
Question 1.
A store has 52 juice boxes. Then some juice boxes are sold. Now the store has 35 juice boxes. How many juice boxes were sold?
Equation: __________

_______ juice boxes
Answer:
52 – ? = 35
52 – 35 = 17
52 – 17 = 35

Sold juice  Store has
boxes         Juice boxes
17 juice boxes are sold.
Explanation:
A store has 52 juice boxes. Then some juice boxes are sold. Now the store has 35 juice boxes. Here 17 juice boxes are sold.

Set B

Will has 19 fewer crayons than Kari. Kari has 25 crayons. How many crayons does Will have?

Solve the problem any way you choose. Show your work.
Question 2.
A building kit has 26 fewer green blocks than blue blocks. The kit has 44 green blocks. How many blue blocks are there?
_________ blue blocks
Answer:
? – 26 = 44
? = 44 + 26
? = 70
70 – 26 = 44
There are 70 blue blocks.
Explanation:
A building kit has 26 fewer green blocks than blue blocks. That means green blocks are less. The kit has 44 green blocks. Add 44 green blocks with 26 fewer green blocks then we get total number of blue blocks. There are 70 blue blocks.

Set C

Trent has 29 more toy cars than Bill. Trent has 72 toy cars. How many toy cars does Bill have?

Solve the problem any way you choose. Show your work.
Question 3.
A game has 19 more red cards than blue cards. The game has 43 red cards. How many blue cards does the game have?
_________ blue cards
Answer:
43 – 19 = ?
+1   +1
44 – 20 = 24
There are 24 blue cards in a game.
Explanation:
A game has 19 more red cards than blue cards. That means blue cards are less. The game has 43 red cards. subtract 19 more red cards from 43 red cards then we get total number of blue cards. There are 24 blue cards in a game.

Set D

Lacie buys 28 peaches. She gives 12 to Ted. Then she buys 15 more. How many peaches does Lacie have now?

Use the bar diagrams to help solve both steps.
Question 4.
Craig scores 27 points. Next, he scores 33 points. Then he loses 14 points. How many points does Craig have now?

________ points
Answer:

Now Craig have 46 points.
Explanation:
Craig scores 27 points. Next, he scores 33 points. Add 27 points with 33 points then we get 60 points. Now he has 60 points. Then he loses 14 points. Subtract 14 points from 60 points then we get 46 points. Craig have 46 points.

Set E

Jess had 16 white eggs and 13 brown eggs. She broke some eggs and was left with 18 eggs to sell. How many eggs did she break?

Solve the problem any way you choose. Show your work.
Question 5.
There are 36 raspberries and 24 blueberries in the fruit salad. Ben eats some. Now there are 45 berries left. How many berries did Ben eat?
_________ berries
Answer:

Ben ate 15 berries.
Explanation:
There are 36 raspberries and 24 blueberries in the fruit salad. Add 36 raspberries and 24 blueberries then we get 60 berries. Ben eats some. Now there are 45 berries left. Subtract 45 berries from 60 berries then we get 15 berries. Ben ate 15 berries.

Set F

Write the missing number to make the equation true.
14 + 6 = ______ + 12
Both sides are equal.
14 + 6 = 20
So, 20 = 8 + 12.
The missing number is 8.

Find and write the missing numbers to make the equations true.
Question 6.
4 + 8 = 19 – 7 _____
Answer:
4 + 8 = 19 – ?
4 + 8 = 12
12 = 19 – ?
12 = 19 -7
The missing number is 7.
Explanation:
Here first we have to add these two numbers 4 and 8 then we got 12. Subtract 7 from 19 then we got 12. The missing number that makes the equation true is 7.

Question 7.
______ + 7 = 12 + 2
Answer:
? + 7 = 12 + 2
? + 7 = 14
7 + 7 = 14
14 = 14
The missing number that makes the equation true is 7.
Explanation:
Here ‘=’ means the value on both sides is the same. Here first we have find 12 + 2 = 14. After that we have to find the remaining part ? + 7 = 14. Here 17 is equal to the number 7 plus some number. By adding 7 to the 7 results 14. Here we have to check both sides of the equal sign have the same value or not.
Here 14 = 14
So 7 + 7 = 12 + 2
The missing number that makes the equation true is 7.

Question 8.
15 + ______ = 10 + 8
Answer:
15 + ? = 10 + 8
15 + ? = 18
15 + 3 = 18
18 = 18
The missing number that makes the equation true is 3.
Explanation:
Here ‘=’ means the value on both sides is the same. Here first we have find 10 + 8 = 18. After that we have to find the remaining part 15 + ? = 18. Here 18 is equal to the number 15 plus some number. By adding 3 to the 15 results 18. Here we have to check both sides of the equal sign have the same value or not.
Here 18 = 18
So 15 + 3 = 10 + 8
The missing number that makes the equation true is 3.

Question 9.
______ – 6 = 9 + 5
Answer:
? – 6 = 9 + 5
? – 6 = 14
20 – 6 = 14
14 = 14
The missing number that makes the equation true is 20.
Explanation:
Here ‘=’ means the value on both sides is the same. Here first we have find 9 + 5 = 14. After that we have to find the remaining part ? – 6 = 14. Here 14 is equal to the some number minus 6. By subtracting 6 from 20 results 14. Here we have to check both sides of the equal sign have the same value or not.
Here 14 = 14
So 20 – 6 = 9 + 5
The missing number that makes the equation true is 20.

Question 10.
8 + 5 = ______ – 3
Answer:
8 + 5 = ? – 3
13 = ? – 3
13 = 16 – 3
13 = 13
The missing number that makes the equation true is 16.
Explanation:
Here ‘=’ means the value on both sides is the same. Here first we have find 8 + 5 = 13. After that we have to find the remaining part 13 = ? – 3. Here 13 is equal to some number minus 3. By subtracting 3 from the 16 results 13. Here we have to check both sides of the equal sign have the same value or not.
Here 13 = 13
So 8 + 5 = 16 – 3
The missing number that makes the equation true is 16.

Set G

Find the missing number to make the equation true.
7 + 8 + ______ = 30 – 5
First, you can find the value of the side with no missing number.
30 – 5 = 25
The two sides are equal. So,
7 + 8 + _______ = 25

The missing number is 10.

Find and write the missing numbers to make the equations true.
Question 11.
13 + 7 + ______ = 27 + 8
Answer:
13 + 7 + ? = 27 + 8
First we have to find the value of the side with no missing number.
27 + 8 = 35
The two sides are equal. So,
13 + 7 + ? = 35
13 + 7 + 15 = 35
20 + 15 = 35
35 = 35
The missing number that makes the equation true is 15.
Explanation:
Here ‘=’ means the value on both sides is the same. Here first we have find 27 + 8 = 35. After that we have to find the remaining part 13 + 7 + ? = 35. Here 35 is equal to some number plus 20. By adding 15 to the 20 results 35. Here we have to check both sides of the equal sign have the same value or not.
Here 35 = 35
So 13 + 7 + 15 = 27 + 8
The missing number that makes the equation true is 15.

Question 12.
10 + 8 + 12 = 33 – _______
Answer:
10 + 8 + 12 = 33 – ?
First we have to find the value of the side with no missing number.
10 + 8 + 12 = 30
30 = 33 – ?
30 = 33 – 3
30 = 30
10 + 8 + 12 = 33 – 3
The missing number that makes the equation true is 3.
Explanation:
Here ‘=’ means the value on both sides is the same. Here first we have find 10 + 8 + 12 = 30. After that we have to find the remaining part 30 = 33 – ?. Here 30 is equal to 33 minus some number. By subtracting 3 from 33 results 30. Here we have to check both sides of the equal sign have the same value or not.
Here 30 = 30
So 10 + 8 + 12 = 33 – 3
The missing number that makes the equation true is 3.

Question 13.
_____ + 15 + 15 = 10 + 32
Answer:
? + 15 + 15 = 10 + 32
First we have to find the value of the side with no missing number.
10 + 32 = 42
? + 15 + 15 = 42
? + 30 = 42
12 + 30 = 42
42 = 42
12 + 15 + 15 = 10 + 32
The missing number that makes the equation true is 12.
Explanation:
Here ‘=’ means the value on both sides is the same. Here first we have find 10 + 32 = 42. After that we have to find the remaining part ? + 30 = 42. Here 42 is equal to some number plus 30. By adding 12 to the 30 results 42. Here we have to check both sides of the equal sign have the same value or not.
Here 42 = 42
So 12 + 15 + 15 = 10 + 32
The missing number that makes the equation true is 12.

Question 14.
4 + 13 + 10 = ______ – 13
Answer:
4 + 13 + 10 = ? – 13
First we have to find the value of the side with no missing number.
4 + 13 + 10 = 27
27 = ? – 13
27 = 40 – 13
27 = 27
4 + 13 + 10 = 40 – 13
The missing number that makes the equation true is 40.
Explanation:
Here ‘=’ means the value on both sides is the same. Here first we have find 4 + 13 + 10 = 27. After that we have to find the remaining part 27 = ? – 13. Here 27 is equal to some number minus 13. By subtracting 13 from 40 results 27. Here we have to check both sides of the equal sign have the same value or not.
Here 27 = 27
So 4 + 13 + 10 = 40 – 13
The missing number that makes the equation true is 40.

Set H

Thinking Habits
Reasoning
How are the numbers in the problem related?
How can I use a word problem to show what the equation means?

Write a number story for the problem. Complete the equation to match your story.
Question 15.
28 + 35 = ________
Answer:
28 + 35 = ?
There are 28 butterflies flying and 35 joined with them. How many butterflies are flying altogether?
28 + 35 = 63
Now 63 butterflies are flying altogether.
Explanation:
There are 28 butterflies flying and 35 joined with them. Perform addition operation on 28 butterflies flying and 35 more joined butterflies then we get total number of butterflies. Total number of butterflies flying together are 63.

Topic 7 Assessment Practice

Question 1.
Jodi has 28 apples. She buys some more. Now Jodi has 43 apples. How many apples did she buy?
Use the bar diagram to help you write an equation. Then use the open number line to solve.

Answer:

She buy 15 apples.
Explanation:
Jodi has 28 apples. She buys some more. Now Jodi has 43 apples. Add 15 apples to 28 apples then we get 43 apples. Jodi buy 15 apples.

Question 2.
Alayna draws 18 more stars than Pearl. Alayna draws 37 stars. How many stars does Pearl draw?
A. Can you use the equation to solve the problem? Choose Yes or No.

Answer:

B. How many stars does Pearl draw? _______ stars
Answer:
Pearl draw 19 stars.
Explanation:
Alayna draws 18 more stars than Pearl. That means pearl draw less stars. Alayna draws 37 stars. Subtract 18 stars from 37 stars then we get 19 stars. Pearl draw 19 stars.

Question 3.
Emily has 17 fewer ribbons than Piper. Piper has 48 ribbons. How many ribbons does Emily have?
Solve any way you choose. Show your work.
_________ ribbons
Answer:

Emily have 31 ribbons.
Explanation:
Emily has 17 fewer ribbons than Piper. Piper has 48 ribbons. Subtract 17 ribbons from 48 ribbons then we get 31 ribbons. Emily have 31 ribbons.

Question 4.
Write a number story for 72 – 36 = ?. Then solve the story problem.
72 – 36 = _______
Answer:
72 – 36 = ?
There were 72 tangerines in a tree. Some tangerines fell out of the tree. There are now 36 tangerines left. How many tangerines fell out?
72 – 36 = ?
+4  +4
76 – 40 = 36
36 tangerines fell out.
Explanation:
There were 72 tangerines in a tree. Some tangerines fell out of the tree. There are now 36 tangerines left. Subtract 36 tangerines from 76 tangerines then we get 36 tangerines. 36 tangerines fell out.

Question 5.
Joy needs 99 coats for children in need. She gets 54 coats from her school. She gets 22 coats from friends. How many more coats does Joy need?
Write equations to solve. Then write the answer.

Joy needs _________ more coats.
Answer:

Joy needs 23 more coats.
Explanation:
Joy needs 99 coats for children in need. She gets 54 coats from her school. She gets 22 coats from friends. Add 54 coats with 22 coats then we get 76 coats. Then subtract 76 coats from 99 coats then we get 23 coats. Joy needs 23 more coats for children.

Question 6.
Shane has 27 more cards than Tom. Shane has 62 cards. How many cards does Tom have?
Explain how you will solve the problem. Then solve.
Tom has ______ cards.
Answer:

Tom has 35 cards.
Explanation:
Shane has 27 more cards than Tom. That means Tom has less cards. Shane has 62 cards. Subtract 27 cards from 62 cards then we get 35 cards. Tom has 35 cards.

Question 7.
Grace collects cans to be recycled. The table shows the number of cans she has collected.

A. How many fewer cans did Grace collect on Thursday than on Saturday?
________ fewer cans
Answer:

Grace collects 25 fewer cans on Thursday than on Saturday.
Explanation:
On Thursday Grace collects 12 cans and he collects 37 cans on Saturday. Subtract 12 cans from 37 cans then we get 25 cans. Grace collects 25 fewer cans on Thursday than on Saturday.

B. Grace collects some more cans on Sunday. She now has 90 cans.
Find the missing number in the equation to find how many cans Grace collects on Sunday.
12 + 29 + 37 + ______ = 90
Answer:
12 + 29 + 37 + ? = 90
12 + 29 + 37 + 12 = 90
Grace collect 12 more cans on Sunday.
The missing number that makes the equation true is 12.
Explanation:
Grace collects 12 cans on Thursday, 29 cans on Friday and 37 cans on Saturday, and Some more cans on Sunday. Grace have 90 cans in all. Add 12 with 29, 37 and 12 then we got 90 cans. Grace collects 12 more cans on Sunday.

Question 8.
Find the missing number that makes each equation true.
18 – 10 = 9 – _______
35 + 30 = 45 + ________
Answer:
18 – 10 = 9 – ?
First we have to find the value of the side with no missing number.
18 – 10 = 8
8 = 9 – ?
8 = 9 – 1 
8 = 8
18 – 10 = 9 – 1
The missing number that makes the equation true is 1
Explanation:
Here ‘=’ means the value on both sides is the same. Here first we have find 18 – 10 = 8. After that we have to find the remaining part 8 = 9 – ?. Here 8 is equal to 9 minus some number. By subtracting 1 from 9 results 8. Here we have to check both sides of the equal sign have the same value or not.
Here 8 = 8
So 18 – 10 = 9 – 1
The missing number that makes the equation true is 1.

35 + 30 = 45 + ________
First we have to find the value of the side with no missing number.
35 + 30 = 65
65 = 45 + ?
65 = 45 + 20
65 = 65
35 + 30 = 45 + 20
The missing number that makes the equation true is 20.
Explanation:
Here ‘=’ means the value on both sides is the same. Here first we have find 35 + 30 = 65. After that we have to find the remaining part 65 = 45 + ?. Here 65 is equal to 45 plus some number. By adding 20 to the 45 results 65. Here we have to check both sides of the equal sign have the same value or not.
Here 65 = 65
So 35 + 30 = 45 + 20
The missing number that makes the equation true is 20.
Question 9.
Find the missing number that makes each equation true.
24+ _______ = 7+ 15 + 8
46 – 5 = 10 + 10 + _________
Answer:
24+ _______ = 7+ 15 + 8
First we have to find the value of the side with no missing number.
7 + 15 + 8 = 30
24 + ? = 30
24 + 6 = 30
30 = 30
24 + 6 = 7 + 15 + 8
The missing number that makes the equation true is 6.
Explanation:
Here ‘=’ means the value on both sides is the same. Here first we have find 7 + 15 + 8 = 30. After that we have to find the remaining part 24 + ? = 30. Here 30 is equal to 24 plus some number. By adding 6 to the 24 results 30. Here we have to check both sides of the equal sign have the same value or not.
Here 30 = 30
So 24 + 6 = 7 + 15 + 8
The missing number that makes the equation true is 6.

46 – 5 = 10 + 10 + _________
First we have to find the value of the side with no missing number.
46 – 5 = 41
41 = 10 + 10 + ?
41 = 10 + 10 + 21
41 = 41
46 – 5 = 10 + 10 + 21
The missing number that makes the equation true is 21.
Explanation:
Here ‘=’ means the value on both sides is the same. Here first we have find 46 – 5 = 41. After that we have to find the remaining part 41 = 10 + 10 + ?. Here 41 is equal to 20 plus some number. By adding 20 to the 21 results 41. Here we have to check both sides of the equal sign have the same value or not.
Here 41 = 41
So 46 – 5 = 10 + 10 + 21
The missing number that makes the equation true is 21.

Topic 7 Performance Task

School Fair Meadow School is having a school fair. The table shows the number of tickets Ms. Davis’s class has sold.

Question 1.
How many fewer tickets did Ms. Davis’s class sell on Wednesday than on Monday?
Complete the bar diagram to model the problem. Then solve.

_______ fewer tickets
Answer:

Ms. Davis’s class sold 21 fewer tickets on Wednesday than on Monday.
Explanation:
Ms. Davis’s class sold 42 tickets on Monday and 21 tickets on Wednesday. So Subtract 21 tickets from 42 tickets then we get 21 tickets. Ms. Davis’s class sold 21 fewer tickets on Wednesday than on Monday.

Question 2.
Ms. Davis says the class can have a party if they sell 95 tickets.
Part A
Write an equation to show how many tickets the class has sold.
Then solve the equation. Show your work.
_________ tickets sold
Answer:

42 + 17 + 21 = ?
42 + 17 + 21 = 80
The class has sold 80 tickets.
Explanation:
The class sold 42 tickets on Monday, 17 tickets on Tuesday and 21 tickets on Wednesday. Add the tickets sold on Monday, Tuesday, Wednesday. Add 42 with 17 and 21 then we get 80 tickets. The class has sold 80 tickets.

Part B
How many more tickets does the class have to sell to have a party? Explain.
________ tickets
Answer:
80 + ? = 95
95 – 80 = 15
The class needs to sell 15 more tickets to have a party.
Explanation:
The class can have a party if they sell 95 tickets. Here the class sold only 80 tickets. Subtract 80 tickets from 95 tickets then we get how many more tickets did the class need to have party. After subtracting 80 from 95 then we got 15 tickets. If they sell 15 more tickets then the class can have a party.

Question 3.
The table shows the number of tickets Mr. Rios’s class has sold.
How many more tickets did his class sell in all on Monday and Tuesday than on Wednesday?

Answer:

The class has to sell 14 more tickets in all on Monday and Tuesday than on Wednesday.
Explanation:
The class sold 24 tickets on Monday, 18 tickets on Tuesday and 28 tickets on Wednesday. Here we have to find how many more tickets his class has to sell in all on Monday and Tuesday than on Wednesday. First subtract 24 tickets from 28 tickets then we get 4 tickets. 4 more tickets that the class need to sell on Monday. Then Subtract 18 tickets from 28 tickets then we get 10 tickets. 10 more tickets that the class need to sell on Tuesday. Add 4 tickets on Monday with 10 tickets on Tuesday then we get 14 tickets. The class has to sell 14 more tickets in all on Monday and Tuesday than on Wednesday.

Question 4.
Part A
Write a number story about selling tickets for the school fair. Use numbers that you can add or subtract.
Answer:

Part B
Write an equation to match your story. Then solve any way you choose. Show your work.
Answer:

Practice with the help of enVision Math Common Core Grade 2 Answer Key Topic 6 Fluently Subtract Within 100 regularly and improve your accuracy in solving questions.

enVision Math Common Core 2nd Grade Answers Key Topic 6 Fluently Subtract Within 100

Essential Question:
What are strategies for subtracting numbers to 100?

enVision STEM Project: Finding Water and Finding Differences
Find Out Use globes, maps, books, and other sources to find out where water, snow, and ice can be found on Earth. Make a list of different names of bodies of water and names of bodies of snow and ice.
Journal: Make a Book Show what you learn in a book. In your book, also:

• Tell about how globes are models that show where water is found on Earth.
• Tell about how to use a subtraction model to find differences.

Review What You Know

Vocabulary

Question 1.
Break apart 56 into tens 1 and ones. Draw place value blocks to show the parts.
56 = _______ + ________
Answer:
50 tens and 6 ones

Explanation:
56. 5 is in tens place = 5 x 10 = 50.
we should multiply the number with its place values.
5 is in tens place so multiply 5 with 10.

Question 2.
Complete the drawing to show how to regroup 1 ten as ones.

Answer:

Explanation:
Regrouped ten to ones

Question 3.
Complete the bar diagram to model 64 – 31 = ?

Answer: 33

Explanation:
The difference of  64 – 31 = 33

Open Number Lines
Question 4.
Find 40 – 25 by counting back on an open number line. Show your work.

40 – 25 = _______
Answer:

Explanation:
40 – 25 is done on a number line
40 – 25 = 15

Question 5.
Find 45 – 22 by adding up on an open number line. Show your work.

45 – 22 = _________
Answer:

Explanation:
45 – 22 = 23
Is plotted on a number line for better understanding

Math Story
Question 6.
Lea has 30 cookies. She gives 17 cookies to her friends. How many cookies does Lea have now?
_________ cookies
Answer:  13
Explanation:
Lea have 13 cookies now
30 – 17 = 13

Pick a Project

PROJECT 6A
Do snakes lay eggs?
Project: Make a Model of a Snake and Its Nest

PROJECT 6B
How are schools different around the world?
Project: Compare and Contrast Classroom Sizes

PROJECT 6C
How long does it take to drive from a large city to nearby places?
Project: Draw a Map of Some State Places

PROJECT 6D
What stories are in the night sky?
Project: Perform a Skit About Constellations

Lesson 6.1 Subtract 1-Digit Numbers Using Models

Solve & Share
How can you use tens and ones to find 23 – 6? Use place-value blocks to help you. Show your work.
I can … use place value and models to subtract I-digit numbers.

Visual Learning Bridge

Convince Me! In the first example above, why were 4 ones taken away first?

Guided Practice

Subtract. Use place-value blocks. Draw blocks to show your work.
Question 1.
63 – 2 = ___

Answer: 61
Explanation:

With help of place value blocks
done the subtraction

Question 2.
44 – 9 = _______

Answer: 35

Explanation:
With help of place value blocks
done the subtraction

Question 3.
32 – 8 = _______

Answer: 24

Explanation:
With help of place value blocks
done the subtraction

Independent Practice

Subtract. Use place-value blocks. Draw blocks to show your work.
Question 4.
29 – 1 = _______

Answer: 28

Explanation:
With help of place value blocks
done the subtraction

Question 5.
50 – 7 = _______

Answer: 43

Explanation:
With help of place value blocks
done the subtraction

Question 6.
61 – 4 = _______

Answer: 57

Explanation:
With help of place value blocks
done the subtraction

Question 7.
43 – 5 = _______

Answer: 38

Explanation:
With help of place value blocks
done the subtraction

Question 8.
86 – 9 = _______

Answer: 77

Explanation:
With help of place value blocks
done the subtraction

Question 9.
39 – 3 = _______

Answer: 36

Explanation:
With help of place value blocks
done the subtraction

Question 10.
56 – 8 = _______

Answer:  48

Explanation:
With help of place value blocks
done the subtraction

Question 11.
21 – 6 = _______

Answer: 15

Explanation:
With help of place value blocks
done the subtraction

Question 12.
Higher Order Thinking Which one-digit numbers can you subtract from 74 without first regrouping? Explain how you know.

Answer: 74 – 4 = 70
Explanation:
with out regrouping the tens place

Problem Solving

Solve each problem below.
Question 13.
How can place-value blocks help you find 66 – 8? Explain.
Answer: 58
Explanation:
with the help of place value blocks

Question 14.
Make Sense Kate has 45 marbles. She gives 3 marbles to her brother. How many marbles does Kate have now?
_______ marbles
Answer: 42
Explanation:
Kate have 42 marbles now.

Question 15.
Higher Order Thinking Sammie has 9 fewer rings than Emilio. Sammie has 7 more rings than Sara. Emilio has 34 rings. Complete the sentences below. Draw a picture to explain your work.
Sammie has _______ rings.
Sara has ________ rings.
Answer:
Sammie has 25 rings.
Sara has 18 rings.
Explanation:
Emilio has 34
Sammie has 9 fewer rings than Emilio.
34 – 9  = 25
Sammie has 7 more rings than Sara.
25 – 7 = 18

Question 16.
Assessment Practice Draw place value blocks to find 34 – 8. Which is the difference?

A. 22
B. 26
C. 28
D. 46
Answer: B

Explanation:
The difference of 34 – 8 = 26

Lesson 6.2 Subtract 2-Digit Numbers Using Models

Solve & Share
You have 42 pipe cleaners. You use 19 of the pipe cleaners. How many pipe cleaners do you have now?
Use place-value blocks to help you solve. Draw place-value blocks to show your work.
I can … use place value and models to subtract 2-digit numbers.

_________ pipe cleaners

Visual Learning Bridge

Convince Me! How are the two ways shown above alike? How are they different?

Guided Practice

Subtract. Use place-value blocks. Draw blocks to show your work.
Question 1.
52 – 13 = _________

Answer: 39

Explanation:
With help of place value blocks
done the subtraction

Question 2.
46 – 25 = ________

Answer: 21

Explanation:
With help of place value blocks
done the subtraction

Question 3.
65 – 37 = _______

Answer: 28

Explanation:
With help of place value blocks
done the subtraction

Independent Practice

Subtract. Use place-value blocks. Draw blocks to show your work.
Question 4.
56 – 31 = _______

Answer: 25

Explanation:
With help of place value blocks
done the subtraction

Question 5.
63 – 24 = _______

Answer: 39

Explanation:
With help of place value blocks
done the subtraction

Question 6.
72 – 46 = _______

Answer: 26

Explanation:
With help of place value blocks
done the subtraction

Question 7.
57 – 15 = _______

Answer: 42

Explanation:
With help of place value blocks
done the subtraction

Question 8.
25 – 19 = _______

Answer: 6

Explanation:
With help of place value blocks
done the subtraction

Question 9.
84 – 27 = _______

Answer: 57

Explanation:
With help of place value blocks
done the subtraction

Question 10.
41 – 13 = _______

Answer: 28

Explanation:
With help of place value blocks
done the subtraction

Question 11.
90 – 38 = _______

Answer: 52

Explanation:
With help of place value blocks
done the subtraction

Question 12.
Algebra Write numbers to complete the equations. Draw pictures to help if needed.

Answer:

Explanation:
The equations are completed.

Question 13.
Number Sense Do these models show the same value? Explain.

Answer: yes
Explanation:
Line represent 10 and dots represent 1
32 = 32

Problem Solving

Solve each problem.
Question 14.
Model Anita has $63. She spends $24 and saves the rest. How much does Anita save?

$ ________
Answer: 63 – 24 = 39

Explanation:
Anita saves 39

Question 15.
Higher Order Thinking Write a subtraction story about 36 – 17. Explain how to solve the problem.
Answer: Sam has 36 candy’s out of it she shared with her friend 17. how many did Sam left
Explanation:
36 – 17 = 19

Question 16.
Assessment Practice Draw place-value blocks to find 70 – 11. Which is the difference?

A. 59
B. 49
C. 47
D. 11
Answer: A
Explanation:
70 -11 = 59

Lesson 6.3 Subtract Using Partial Differences

Solve & Share
Ari has 72 stickers. He puts 25 of his stickers in a scrapbook. How many stickers are left? Draw place-value blocks to help you solve the problem.
I can … subtract using place value and partial differences.

Visual Learning Bridge

Convince Me! The example above shows one way to find 64 – 36 using partial differences. Could you begin by subtracting the ones instead of the tens? Explain.

Guided Practice

Subtract. Use place-value blocks to find partial differences. Record your work.
Question 1.
34 – 15 = _______

Answer: 19

Explanation:
Used place-value blocks to find partial differences.

Question 2.
63 – 48 = _______

Answer: 15

Explanation:
Used place-value blocks to find partial differences.

Independent Practice

Subtract. Use place-value blocks to find partial differences. Record your work.
Question 3.
52 – 36 = _______
Answer: 16

Explanation:
Used place-value blocks to find partial differences.

Question 4.
94 – 54 = _______
Answer: 40

Explanation:
Used place-value blocks to find partial differences.

Question 5.
41 – 25 = _______
Answer: 16

Explanation:
Used place-value blocks to find partial differences.

Question 6.
33 – 28 = _______
Answer: 5

Explanation:
Used place-value blocks to find partial differences.

Question 7.
65 – 42 = _______
Answer: 23

Explanation:
Used place-value blocks to find partial differences.

Question 8.
70 – 48 = _______
Answer: 22

Explanation:
Used place-value blocks to find partial differences.

Question 9.
96 – 37 = _______
Answer: 59

Explanation:
Used place-value blocks to find partial differences.

Question 10.
87 – 45 = _______
Answer: 42

Explanation:
Used place-value blocks to find partial differences.

Solve. Draw a model to help.
Question 11.
Higher Order Thinking Tia’s basketball team scored 61 points. They won by 23 points. How many points did the other team score?
_______ points
Answer:  38
Explanation:
38 points

Problem Solving

Solve each problem.
Question 12.
Model Don has 72 marbles. Josie has 56 marbles. How many more marbles does Don have than Josie?
Can you use drawings of place-value blocks to show partial differences?
__________ more marbles
Answer:
72 – 56 = 16

Explanation:
used drawings of place-value blocks to show partial differences

Question 13.
Higher Order Thinking Write a subtraction story using two 2-digit numbers. Then solve the problem in your story.
Answer: Rosy had 12 rockets and in the tournament she has to use 10 out of it. how many does rosy had.
12 – 10 = 2
Explanation:
2 rockets does rosy had.

Question 14.
Assessment Practice Which numbers will complete this partial differences problem for 44 – 17?
Choose all that apply.

Answer:

Explanation:
34 and 30 numbers will complete this partial differences problem

Lesson 6.4 Continue to Subtract Using Partial Differences

Solve & Share
Show two different ways to find 53 – 28.

Visual Learning Bridge

Convince Me! Find 73 – 45. Andy says he can subtract 3. then 2, and then 40 to find the difference. Do you agree? Explain.

Guided Practice

Subtract. Use partial differences. Break apart the number you are subtracting. Show your work.
Question 1.

Answer: 28

Explanation:
The number which we are subtracting is separated
And found the value

Question 2.

Answer: 15

Explanation:
The number which we are subtracting is separated
And found the value

Independent Practice

Subtract. Use partial differences. Break apart the number you are subtracting. Show your work.
Question 3.
_______ = 32 – 13
Answer: 19

Explanation:
The number which we are subtracting is separated
And found the value

Question 4.
74 – 28 = _______
Answer:  46

Explanation:
The number which we are subtracting is separated
And found the value

Question 5.
_______ = 61 – 47
Answer:

Explanation:
The number which we are subtracting is separated
And found the value

Question 6.
84 – 46 = _______
Answer: 38

Explanation:
The number which we are subtracting is separated
And found the value

Question 7.
59 – 17 = _______
Answer: 42

Explanation:
The number which we are subtracting is separated
And found the value

Question 8.
_______ = 95 – 38
Answer: 57

Explanation:
The number which we are subtracting is separated
And found the value

Question 9.
Higher Order Thinking Tina found 53 – 27 by breaking apart 27 into 23 and 4. Does Tina’s way work?
Show another way you could break apart 27 to find 53 – 27. Then find the difference.
Answer:

Explanation:
Tina found 53 – 27 by breaking apart 27 into 23 and 4. Yes, Tina’s way work

Problem Solving

Solve each problem. Show your work.
Question 10.
en Vision® STEM Kate had 32 ice cubes. She put 14 of them in the sun and they melted. How many ice cubes does Kate have now?
________ ice cubes
Answer:  18 ice cubes
Explanation:
en Vision® STEM Kate had 32 ice cubes. She put 14 of them in the sun and they melted. So 18 ice cubes Kate have now. Since 32 -14 =18

Question 11.
Make Sense Mark has 27 stamps. Sam has 82 stamps. Lena has 42 stamps. How many more stamps does Sam have than Mark?

________ more stamps
Answer: 55 more stamps
Explanation:
Mark has 27 stamps. Sam has 82 stamps. So 55 more stamps does Sam have than Mark. Since 82 – 27 = 55

Question 12.
Higher Order Thinking Allison found 51 – 34 using partial differences. She broke apart 34 into 31 + 3.
Write equations to show how Allison could have found the difference.
Answer: 51 – 34, 51 -31 = 20, 20-3 =17
Explanation: solved the difference using partial differences

Question 13.
Assessment Practice Can you use the equations to find 63 – 45? Choose Yes or No.

Answer:

Lesson 6.5 Practice Subtracting

Solve & Share
Find 82 – 56. Use any strategy you have learned or your own strategy. Show your work. Explain why your strategy works.
I can … subtract 2-digit numbers using any strategy I’ve learned and explain why the strategy works.

Visual Learning Bridge

Convince Me! Could you solve 72 – 24 using a different strategy? Explain.

Guided Practice

Use any strategy to subtract. Show your work. Draw blocks if needed. Explain why the strategy works.
Question 1.
67 – 39 = ________

Question 2.
78 – 42 = ________
Answer:

Independent Practice

Use any strategy to subtract. Show your work. Be ready to explain why your strategy works.
Question 3.
73 – 4 = ________
Answer: 69
Explanation:
Compensation Works. It is easy to subtract 3 from 73. but I have to subtract 1 more from the deference.
73-3=70
70-1=69

Question 4.
78 – 25 = ________
Answer:  53
Explanation:
Compensation Works. It is easy to subtract 28  from 78.
but I have to add 3 to the deference.
78-28=50
50+ 3=53

Question 5.
83 – 46 = ________
Answer:  37
Explanation:
Compensation Works. It is easy to subtract 43 from 83.
but I have to subtract 3 more from the deference.
83-43=40
40-3=43

Question 6.
36 – 27 = ________
Answer:9
Explanation:
Compensation Works. It is easy to subtract 26 from 36.
but I have to subtract 1 more from the deference.
36-26=10
10-1=9

Question 7.
98 – 51 = _______
Answer: 47
Explanation:
Compensation Works. It is easy to subtract 50 from 98.
but I have to subtract 1 more from the deference.
98 – 50 = 48
48 – 1 = 47

Question 8.
65 – 7 = ________
Answer: 58
Explanation:
Compensation Works. It is easy to subtract 5 from 65.
but I have to subtract 2 more from the deference.
65 – 5 = 60
60 – 2 = 58

Question 9.
86 – 19 = ________
Answer: 67
Explanation:
Compensation Works. It is easy to subtract 20 from 86.
but I have to add 1to the deference.
86 – 20 = 66
66 + 1 = 67

Question 10.
7 – 8 = ________
Answer: it is not possible
Explanation:
8 is greater than 7

Question 11.
85 – 23 = ________
Answer: 62
Explanation:
Compensation Works. It is easy to subtract 25 from 85.
but I have to add 2 to the deference.

Algebra Find the missing number.

Question 12.
34 – 8 = 35 – ______
Answer: 9
Explanation:
34 – 8 = 35 – 9
26 = 26

Question 13.
27 – 9 = 28 – ________
Answer: 10
Explanation:
27 – 9 = 28 – 10
18 = 18

Problem Solving

Make Sense Make a plan. Solve each problem. Show your work.
Question 14.
A hardware store has 32 hammers in stock. The store sells 16 hammers on Saturday. How many hammers are left?
________ hammers
Answer: 16 hammers
Explanation:
16 hammers are left.
32 – 16 = 16.

Question 15.
A barber does 15 haircuts on Monday. He does 28 haircuts on Friday. How many more haircuts does he do on Friday than on Monday?
________ more haircuts
Answer: 13
Explanation:
13 more haircuts does he do on Friday than on Monday.

Question 16.
Vocabulary Complete each sentence. Use two of the words below.
addend
equation
difference
sum
93 – 53 = 40 is an ________
40 is called the ________ of 93 and 53.
Answer:
93 – 53 = 40 is an equation
40 is called the Difference of 93 and 53.
Explanation:
Preview words are used to complete the sentence.

Question 17.
Higher Order Thinking Fill in the missing digits of this subtraction problem.
☐ ☐ – 23 = 29
Answer: 52
52 – 23 = 29
Explanation:
The missing digits of this subtraction problem is 52.

Question 18.
Assessment Practice Circle the problem that you can use regrouping to solve. Then use a strategy to find both differences. Show your work.
56 – 38 = ________
74 – 52 = ________
Answer:

Explanation:
Compensation Works. It is easy to subtract 36 from 56.
but I have to subtract 2 more from the deference.
56 – 36 = 20
20 – 2 = 18

Lesson 6.6 Solve One-Step and Two-Step Problems

Solve & Share
Trevor made 20 apple muffins for the bake sale. Ryan made 15 banana muffins. They sold 23 muffins in all. How many muffins are left to sell? Solve any way you choose. Show your work.
I can … use models and equations to solve word problems.

Visual Learning Bridge

Convince Me! Look at the example above. How does the bar diagram show that you can add to find the answer?
Explanation:
the total distance shows to add.

Guided Practice

Solve the problem. Show your work.
Question 1.
Kyla’s goal is to walk her dog 50 blocks on Friday, Saturday, and Sunday. On Friday, she walked 16 blocks. On Saturday, she walked 18 blocks. How many blocks does she need to walk on Sunday to meet her goal?

________ blocks
Answer: 16 blocks
Explanation:
16 blocks she need to walk on Sunday to meet her goal

Independent Practice

Use a bar diagram to solve each problem. Show your work.
Question 2.
Some balls are in the closet. Mr. Thomas takes out 15 balls for class. Now there are 56 balls in the closet. How many balls were in the closet in the beginning?

________ balls
Answer:

71 balls
Explanation:
15 + 56 = 71

Question 3.
Corey buys a box of 96 paper clips from the store. He uses 34 paper clips. How many paper clips does Corey have left?

_______ paper clips
Answer: 62 paper clips

96 – 34 = 62
Corey have left 62 paper clips.

Question 4.
A.J. counts 44 acorns in his yard. He picks up 27 acorns. Then 16 more acorns fall from the tree. How many acorns are in the yard now? Show your work.

_______ acorns
Answer:
Step 1:
44 + 27 = 71
Step 2:
71 + 16 = 87
87 acorns
Explanation:
A.J. counts 44 acorns in his yard.
He picks up 27 acorns.
44 + 27 = 71
Then 16 more acorns fall from the tree.
71 + 16 = 87
87 acorns are in the yard now.

Problem Solving

Make Sense Make a plan. Solve each problem. Show your work. Then check your work.
Question 5.
27 people are at a picnic. 14 people eat hamburgers. The rest eat hot dogs. How many people eat hot dogs?

________ people eat hot dogs
Answer: 13 people eat hot dogs

Explanation:
27 people are at a picnic. 14 people eat hamburgers.
27 – 14= 13
The rest eat hot dogs.
13 people eat hot dogs

Question 6.
Some pumpkins are in a patch. 41 pumpkins are picked. Now there are 33 pumpkins in the patch. How many pumpkins were in the patch at the start?

________ pumpkins
Answer: 74 pumpkins

Explanation:
Some pumpkins are in a patch.
41 pumpkins are picked. Now there are 33 pumpkins in the patch.
41 + 33 = 74
74 pumpkins were in the patch at the start

Question 7.
Higher Order Thinking Lauren has a stamp collection. She gives Kristen 12 stamps and Ethan 15 stamps. Lauren has 22 stamps left. How many stamps did she have at the start?

________ stamps
Answer:

49 Stamps
Explanation:
Lauren has a stamp collection.
She gives Kristen 12 stamps and Ethan 15 stamps.
12 + 15 = 27
Lauren has 22 stamps left.
27 + 22 = 49 stamps she had at start

Question 8.
Assessment Practice Lance buys 48 eggs. He uses 24 of them for baking. Then he buys 12 more eggs. How many eggs does Lance have now? Which set of equations can you use to solve this problem?
A. 48 + 24 = 72
72 – 12 = 60

B. 48 – 24 = 24
24 + 12 = 36

C. 48 + 24 = 72
72 + 12 = 84

D. 48 – 24 = 24
24 – 12 = 12
Answer: B
Explanation:
Assessment Practice Lance buys 48 eggs.
He uses 24 of them for baking.
48 – 24 = 24
Then he buys 12 more eggs.
24 + 12 = 36

Lesson 6.7 Problem Solving

Reasoning
Solve & Share
Farmer Davis has 52 chickens. Farmer Phil has 15 fewer chickens. How many chickens does Farmer Phil have? Do you add or subtract to solve this problem? Explain why. Solve. Show your work.
I can … reason about word problems, and use bar diagrams and equations to solve them.

Visual Learning Bridge

Convince Me! Why can you subtract 45 – 17 to solve 45 – ? = 17?

Guided Practice

Reason about the numbers in each problem. Complete the bar diagram and write an equation to solve. Show your work.
Question 1.
Wendy has 38 cents to spend on a snack. She buys an apple that costs 22 cents. How many cents does Wendy have left?

Answer:

Explanation:
Wendy have left 16 cents

Question 2.
Joe has 46 crayons. Tamila has 18 more crayons than Joe. How many crayons does Tamila have?

________ _______ _________ crayons
Answer: 46 + 18 = 64 crayons

Explanation:
Joe has 46 crayons.
Tamila has 18 more crayons than Joe.
46 + 18 = 64
Tamila has 64 crayons

Independent Practice

Reason about how the numbers in each problem relate. Complete the bar diagram and write an equation to solve. Show your work.

Question 3.
enVision® STEM Andy’s class wants to test samples of river water. They want to test 47 water samples. So far, they tested 34 samples. How many more samples do they need to test?

________ _______ _________ more samples
Answer: 47 – 34 = 13

Explanation:
Andy’s class wants to test samples of river water.
They want to test 47 water samples. So far, they tested 34 samples.
47 – 34 = 13 more samples they need to test.

Question 4.
93 dimes are in a box. Grant uses some to buy a game. Now, 66 dimes are in the box. How many dimes did Grant use to buy the game?

________ _______ _________ dimes
Answer: 93 – 66 = 27

Explanation:
93 dimes are in a box. Grant uses some to buy a game.
Now, 66 dimes are in the box.
93 – 66 = 27 Grant use to buy the game

Question 5.
Maria paints 62 squares for a mural. Oscar paints 38 squares. How many more squares does Maria paint than Oscar?

________ _______ _________ more squares
Answer: 62 – 38 = 24

Explanation:
Maria paints 62 squares for a mural. Oscar paints 38 squares.
24 more squares  Maria paint than Oscar.

Problem Solving

Performance Task
Planting Trees The second- and third-grade students planted these trees in Wing Park. The second-grade students planted 26 of the spruce trees. How many spruce trees did the third-grade students plant?

Question 6.
Make Sense What information can you get from the pictures?
Explanation:
planting of trees by second- and third-grade students
38 oak and 44 spruce

Question 7.
Model Complete the bar diagram. Decide how the numbers in the problem relate. Then write an equation that shows how to solve the problem.

Answer:

Explanation:
18 spruce trees had the third-grade students plant

Question 8.
Reasoning How many spruce trees did the third-grade students plant? Explain how you solved the problem.
_________ spruce trees
Answer: 18
Explanation:
18 spruce trees had the third-grade students plant

Topic 7 Fluency Practice Activity

Point & Tally
I can … add within 100.
Find a partner. Get paper and a pencil. Each partner chooses a different color: light blue or dark blue.
Partner I and Partner 2 each point to a black number at the same time. Both partners add those numbers.
If the answer is on your color, you get a tally mark. Work until one partner gets seven tally marks.

Explanation:
partner 1 choose the light blue and  partner choose the dark blue
Then the tally marks are noted by adding the black numbers

Topic 7 Vocabulary Review

Understand Vocabulary
Word List

• bar diagram
• difference
• equation
• ones
• regroup
• tens

Write always, sometimes, or never.
Question 1.
A bar diagram shows subtraction. ________
Answer: Difference

Question 2.
An 8 in the ones place of a number equals 80. __________
Answer: Tens

Question 3.
A 5 in the tens place of a number equals 50. _________
Answer: ones

Draw a line from each term to its example.

Answer:

Explanation:
1)When a expression is shown with equal symbol then it is a equation
2)75 – 23 = 52 the 52 is called the difference of the subtraction equation
3)the lines are regrouped to dots.

Use Vocabulary in Writing
Question 7.
Explain how you can make a model to show and help you solve the problem. Use terms from the Word List.
Molly has 64 marbles. Leslie has 29 marbles. How many fewer marbles does Leslie have?
Answer: Regrouping
Explantion:
Regrouping is word taken from the word list
64 – 29 = 35
35 fewer marbles does Leslie have

Topic 6 Reteaching

Set A

You can use place-value blocks to find 46 – 8. You can regroup I ten as 10 ones and then take away 8 ones.

Explanation:
yes , we need to regroup
we cannot take 8 from 6
so we have to regroup
1 line to 10 dots

Subtract. You can use place-value blocks to help. Draw blocks to show your work.
Question 1.
61 – 3 = _______

Answer:

Explanation:
used place-value blocks to find the equation
tens are converted to ones

Question 2.
57 – 5 = _______

Answer: 52

Explanation:
used place-value blocks to find the equation
no need of regrouping

Set B

You can use place-value blocks to find 72 – 26. First, take away the tens. Then regroup I ten as 10 ones and take away 6 ones.

Question 3.
27 – 11 = _______

Answer:

Explanation:
used place-value blocks to find the equation
tens are converted to ones
27 – 11 = 16

Question 4.
33 – 24 = ________

Answer:

Explanation:
used place-value blocks to find the equation
tens are converted to ones
37 – 24 = 9

Set C

You can use place-value blocks and partial differences to find 53 – 37. First, subtract 3 tens from 5 tens. Then subtract 3 of the ones to make a 10. Then regroup I ten as a 10 ones and subtract the other 4 ones.

Subtract. Use piace-value blocks to find partial differences. Record your work.
Question 5.
22 – 14 = ________
Answer: 8
Explanation:
You can use place-value blocks and partial differences to find 22 – 14.
First, subtract 1 tens from 2 tens. Then subtract 2 of the ones to make a 10.
Then regroup I ten as a 10 ones and subtract the other 2 ones.

Question 6.
73 – 38 = ________
Answer: 353
Explanation:
You can use place-value blocks and partial differences to find 73 – 38.
First, subtract 3 tens from 7 tens. Then subtract 3 of the ones to make a 10.
Then regroup I ten as a 10 ones and subtract the other 5 ones.

Question 7.
45 – 25 = ________
Answer: 20
Explanation:
You can use place-value blocks and partial differences to find 45 – 25
First, subtract 2 tens from 4 tens. Then subtract 5 of the ones to make a 10.

Question 8.
84 – 46 = ________
Answer: 38
Explanation:
You can use place-value blocks and partial differences to find 84 – 36.
First, subtract 4 tens from 8 tens. Then subtract 4 of the ones to make a 10.
Then regroup I ten as a 10 ones and subtract the other 2 ones.

Set D

You can mentally break apart the number you are subtracting. Find 72 – 47.
Subtract 47 in parts. You can subtract the parts in any order and record partial differences.

Subtract. Use partial differences. Break apart the number you are subtracting. Show your work.
Question 9.
47 – 29 = ________
Answer:  18

Explanation:
The difference of 47 – 29 = 18

Question 10.
55 – 36 = ________
Answer: 19

Explanation:
The difference of 55 – 36 = 19

Question 11.
55 – 37 = ________
Answer: 18

Explanation:
The difference of 55 – 37 = 18

Question 12.
77 – 53 = ________
Answer: 25
There is no need of regrouping
Explanation:
The difference of 77 – 53 =  25

Set E

You can draw blocks, regroup, and record partial differences. Find 52 – 33. You can regroup 1 ten as 10 ones.

Use any strategy to subtract. Show your work.
Question 13.
81 – 66 = ________
Answer:  15
Explanation:
81 – 66 = 15

Question 14.
96 – 19 = ________
Answer: 77

Explanation:
The difference of 96 and 19 is 77

Question 15.
62 – 17 = ________
Answer: 45

Explanation:
The difference of 62 – 17 = 45

Question 16.
57 – 29 = ________
Answer: 28

Explanation:
The difference of 57 – 29 = 28

Set F

48 people are at the beach. 16 people are swimming. The rest are playing volleyball. How many people are playing volleyball?
You can use a bar diagram and partial differences to solve the problem.

Solve the problem. Show your work.
Question 17.
Mark has 33 stickers. 16 stickers are green. The rest are yellow. How many stickers are yellow?

_________ yellow stickers
Answer:
33 – 16 = 17
17 yellow stickers

Explanation:
Mark has 33 stickers.
16 stickers are green.
The rest are yellow.

Set G

Thinking Habits
Reasoning
What do the numbers and symbols in the problem mean?
How are the numbers in the problem related?
How can I show a word problem using pictures or numbers?

Complete the bar diagram and write an equation to show the problem. Then solve. Show your work.
Question 18.
94 bricks are needed to build a wall. Lindy has 65 bricks. How many more bricks does she need?

Answer:

Question 19.
Explain why making a bar diagram can help you solve the problem above.
Answer:
It shows what is the  distance covered and how much more we need to complete.

Topic 6 Asse ssment Practice

Question 1.
Which is the difference of 55 – 7? You may draw place-value blocks.

A. 45
B. 46
C. 47
D. 48
Answer: D

Explanation:
55 –  7 = 48
Drawn place value blocks

Question 2.
Sam has 74 books. He puts 28 books on a shelf. How many books are NOT on the shelf? Show your work.
________ books are NOT on the shelf.
Answer:
74 – 28 = 46
Explanation:
46 books are NOT on the shelf.

Question 3.
A ship has 68 round windows. The ship also has 16 square windows. 7 of the windows are broken. How many windows are NOT broken?
A. 45
B. 61
C. 77
D. 91
Answer: A
68 + 16 = 52
52 – 7 = 45
Explanation:
45 windows are NOT broken

Question 4.
Ryan has 46 marbles. John has 4 fewer marbles than Ryan. John gives 9 marbles to his friend.

A. Which pair of equations should be used to find how many marbles John has now?
A. 46 – 4 = 42
42 – 9 = 33

B. 46 – 4 = 42
42 + 9 = 51

C. 46 + 4 = 50
50 – 9 = 41

D. 46 + 4 = 50
50 + 9 = 59
Answer: A
Explanation:
46 – 4 = 42
42 – 9 = 33
pair of equations is used to find how many marbles John has now

B. How many marbles does John have now?
Answer:
33 John have now

Question 5.
Jason wants to find 86 – 61 using place-value blocks.
Will Jason need to regroup to find the difference? Which is correct?
A. Yes; 86 should be regrouped as 8 tens and 16 ones.
B. Yes; 61 should be regrouped as 5 tens and 11 ones.
C. Yes; 86 should be regrouped as 7 tens and 16 ones.
D. No; Regrouping is not needed.
Answer: D
Explanation:
we can directly remove 1 ones from 6 ones
no need of regrouping tens to ones

Question 6.
A book has 72 pages. Dan reads 38 pages on Monday. He reads 26 pages on Tuesday. How many pages does Dan have left to read?
A. Which pair of equations should be used to find how many pages Dan has left to read?
A. 38 + 26 = 64
72 – 64 = 8

B. 72 – 38 = 34
34 + 26 = 60

C. 72 + 26 = 98
98 – 38 = 60

D. 72 – 26 = 46
46 + 38 = 84
Answer: A
Explanation:
38 + 26 = 64
72 – 64 = 8
pair of equations are used to find how many pages Dan has left to read

B. How many pages does Dan have left to read?
Answer: 8 pages, Dan have left to read

Question 7.
Circle the problem that you will use regrouping of place-value blocks to solve. Then draw blocks to show how you know.
54 – 23
82 – 44
Answer:
54 – 23

Explanation:
4 ones cannot be removed from 2 ones so regrouping is done.

Question 8.
Claire has 53 beads. Grace has 26 beads. Bella has 39 beads. How many fewer beads does Bella have than Claire?

Show how you can break apart a number and use partial differences to solve.
________ fewer beads
Answer:
53 – 39 = 14
Explanation:
14 fewer beads Bella have than Claire.

Question 9.
Which numbers will complete this partial differences problem for 54 – 18? Choose all that apply.

Answer:

Explanation:
44 – 4 = 40
40 – 4 = 36
44 , 36 are used in this equation.

Question 10.
Use any strategy to find 24 – 16. Show your work. Write the missing part in the bar diagram.

24 – 16 = _______
Answer: 8

24 – 16 = 8
Explanation:
8 is the missing part in the bar diagram.

Question 11.
Peter collects 54 stamps. He gives 29 stamps to Ruth. How many stamps does Peter have now? Show the problem in the bar diagram with a ? for the unknown number. Then write an equation to solve the problem.

Answer:

Explanation:
peter have 25 stamps now.

Question 12.
Find 53 – 27. Use partial differences to solve. Show your work.
53 – 27 = ________
Answer:

Explanation:
27 is partition to 20 and to 3 and again to 4

Question 13.
Choose all of the problems that you will solve by regrouping if you subtract using place-value blocks. Draw blocks if needed.
☐ 45 – 0 = ?
☐ 68 – 49 = ?
☐ 84 – 37 = ?
☐ 99 – 33 = ?
☐ 78 – 18 = ?
Answer:

Explanation:
45 – 0 = 45
68 – 49 = 19
84 – 37 = 47
99 – 33 = 66
78 – 18 = 60

Question 14.
Find 72 – 38. Use any strategy to solve. Then explain why your strategy works.
Answer:

Explanation:
You can use place-value blocks and partial differences to find 72 – 38
First, subtract 3 tens from 7 tens. Then subtract 2 of the ones to make a 10.
Then regroup I ten as a 10 ones and subtract the other 2 ones.

Topic 6 Performance Task

Stamp Collection Mary collects stamps. The table shows the number of different kinds of stamps that she has.

Question 1.
How many more stamps with butterflies does Mary have than stamps with flags? Choose a strategy to solve. Show your work.
__________ more stamps with butterflies
Answer:
34 – 8 = 26
26 more stamps with butterflies

Question 2.
How many fewer stamps with birds does Mary have than stamps with flowers? Use a different strategy to solve. Show your work.
________ fewer stamps with birds
Answer:
61 – 27 = 34
Explanation:
34 fewer stamps with birds

Question 3.
Explain why the strategy you chose in Item 2 works.
Answer:
regrouping makes the subtracting easy

Question 4.
Luke also collects stamps. He has 57 stamps. His friend gives him 25 more stamps. Then Luke gives away some stamps. Now Luke has 44 stamps. How many stamps did Luke give away?
Part A
How many stamps does Luke have after his friend gives him more stamps?
_______ _______ = ________
_______ stamps
Answer:
57 + 25 = 82
82 – 44 = 38
Explanation:
38 stamps
38 many stamps Luke have after his friend gives him more stamps

Part B
How many stamps did Luke give away?
_______ _______ = ________
_______ stamps
Answer:  38 stamps
82 – 44 = 38
Explanation:
38 Luke give away.

Question 5.
Mary puts 54 of her stamps in a book. The book holds 96 stamps. How many more stamps can Mary put in the book?
Part A
Complete the bar diagram to model the problem.

Explain how the bar diagram helps you understand the problem.
Answer:

Explanation:
42 more stamps can Mary put in the book

Part B
Write an equation to solve the problem.
_______ _______ = ________
_______ more stamps
Answer:
96 – 54 = 42
42 more stamps
Explanation:
the above equation helps to found the number of stamps that Mary can keep in the book

Practice with the help of enVision Math Common Core Grade 1 Answer Key Topic 15 Equal Shares of Circles and Rectangles regularly and improve your accuracy in solving questions.

enVision Math Common Core 1st Grade Answers Key Topic 15 Equal Shares of Circles and Rectangles

Essential Question:
What are some different names for equal shares?

Find Out Talk to friends and relatives about different objects that have wheels. Ask them how they use wheels in their everyday lives.
Journal: Make a Book Show what you found out. In your book, also:

• Draw pictures of different objects that have wheels. Describe the shapes you see. How could you divide the shapes into equal shares?
• Tell how wheels are used to move people or things.

Review What You Know

Vocabulary
Question 1.
Put an X on the circle.

Answer:

Question 2.
Draw a rectangle.
Answer:

Explanation:
Draw a rectangle using a scale and pencil.

Question 3.
Draw the hands on the clock to show a time to the half hour.

Answer:

Different kinds of Rectangles
Question 4.
Color all the rectangles.
Then draw an X on the rectangle that is a square.

Answer:

Explanation:
Color all the rectangles
Then put X on the rectangle that is square

Question 5.
How many rectangles do you see?

____________ rectangles
Answer:
2 rectangles
Explanation:
A rectangle has four sides
The envelope has 4 sides
The unicorn puzzle has 4 sides
So there are 2 rectangles

What’s the Time?
Question 6.
Cody gets home at 4:30. Draw the hour and minute hands on the clock to show at what time Cody gets home.

Answer:

Explanation:
Draw the minutes hand at 6 [30 minutes]
Draw the hours hand between 4 and 5

Pick a Project

PROJECT 15A
What games do you play at recess? Project: Design and Play a Game

PROJECT 15A
Answer:

PROJECT 15B
Do you have a favorite dance? Project: Create Your Own Square Dance

Answer:

PROJECT 15C
Is every game fair? Project: Make a Pair of Spinners

3-ACT MATH PREVIEW

Math Modeling Pieced Out
Before watching the video, think: What shapes can you use to make a square? Can you find another way to use shapes to make a square? What kind of designs can you make?

I can … model with math to solve a problem that involves making a design with 2-D shapes
Answer:

Explanation:
We can create a square using equal shares of triangles and one fourths of a square
the first 2 squares are patterns using triangles
the last square are patterns using rectangles and squares

Lesson 15.1 Make Equal Shares

Solve & Share
Draw a line inside the blue circle to show 2 parts that are the same size.

Draw a line inside the yellow circle to show 2 parts that are NOT the same size.

How do you know the 2 parts you made in the blue circle are the same size?

I can … determine if shapes are divided into equal shares.
Answer:

Explanation:
In the blue circle the line is drawn exactly in the middle dividing the circle into 2 equal shares.

Visual Learning Bridge

Convince Me! Is this shape divided into equal shares? Explain how you know.
Answer:
In the second picture the rectangle is divided into 2 equal shares
In the third picture the rectangle is divided into 4 equal share.

Guided Practice

Decide if each picture shows equal shares. Then circle Yes or No.
Question 1.

Question 2.

Answer:

Question 3.

Answer:

Question 4.

Answer:

Question 5.

Answer:

Question 6.

Answer:

Independent Practice

Write the number of equal shares in each shape. Practice If the shares are NOT equal, write 0.
Question 7.

__________ equal shares
Answer:
0 equal shares
Explanation:
The shares are not equal.

Question 8.

________ equal shares
Answer:
2 equal shares
Explanation:
The shares are equal.

Question 9.

________ equal shares
Answer:
2 equal shares
Explanation:
The shares are equal.

Question 10.

_________ equal shares
Answer:
4 equal shares
Explanation:
The shares are equal.

Question 11.

________ equal shares
Answer:
4 equal shares
Explanation:
The shares are equal.

Question 12.

_________ equal shares
Answer:
2 equal shares
Explanation:
The shares are equal.

Question 13.

_________ equal shares
Answer:
0 equal shares
Explanation:
The shares are not equal.

Question 14.

_________ equal shares
Answer:
4 equal shares
Explanation:
The shares are equal.

Question 15.
Higher Order Thinking
Draw a square, a circle, or a rectangle. Divide your shape into equal shares. Then write the number of equal shares in your shape.
_________ equal shares
Answer:

4 equal shares.

Problem Solving

Solve each problem below.
Question 16.
Be Precise Matt makes a flag with 4 equal shares. Which flag did he make? Circle the correct flag.

Answer:

Explanation:
The red flag has equal shares

Question 17.
Be Precise Ruth picks a flag with equal shares. Which flag did she pick? Circle the correct flag.

Answer:

Explanation:
The yellow flag has equal shares

Question 18.
Higher Order Thinking Mr. Kelly made 2 pizzas. He sliced each one into 4 slices. Each slice is the same size piece. How many slices are there? Draw a picture. Then write an equation.
Answer:

Explanation:
8 slices
1 pizza is divided into 4 slices
4 + 4 = 8 slices

Question 19.
Assessment Practice Which square does NOT show 4 equal shares?

Answer:
D
Explanation:
In all the options the square is divided into 4 equal shares, But in option D the square is divided into 3 shares.

Lesson 15.2 Make Halves and Fourths of Rectangles and Circles

Solve & Share
Draw a line inside the circle to show 2 equal shares. Color 1 of the shares. Then write numbers to tell how many shares you colored.

Draw lines inside the rectangle to show 4 equal shares. Color 2 of the shares. Then write numbers to tell how many shares you colored.

I can … divide shapes into 2 and 4 equal shares and use words to describe those shares.
Answer:

I colored 2 out of 4 equal shares.

Visual Learning Bridge

Convince Me! What share of the rectangle is green?

Answer:
The 3rd share of the rectangle is Green.

Guided Practice

Circle the correct shapes for each problem.
Question 1.
One quarter blue

Explanation:
one quarter blue means we have to color one fourth blue.

Question 2.
One half yellow

Answer:

Independent Practice

Color the shapes for each problem.
Question 3.
One half red

Answer:

Explanation:
We have to color one half of the figure red.

Question 4.
One fourth orange

Answer:

Explanation:
one fourth means we have to color one of the Orange.

Question 5.
One quarter green

Answer:

Explanation:
one fourth means we have to color one of the Green.

Question 6.
One half blue

Answer:

Explanation:
one half blue means we have to color one of the halves blue.

Question 7.
Higher Order Thinking
Alex has one half of an oatmeal bar. Jen has one quarter of a different oatmeal bar. Jen’s piece is bigger. How could Jen’s piece be bigger? Use words or pictures to solve.

Answer:
Alex has one half of an oatmeal bar. Jen has one quarter of a different oatmeal bar. Both oatmeal bars are of different size, as shown in the picture, hence Jen’s piece is bigger

Jens oat meal bar is bigger.

Question 8.
Explain Sam says the rectangle is divided into halves. Is he correct? Circle Yes or No. Then explain how you know.

Answer:
Yes
Explanation:
The rectangle is divided in to two equal parts or two halves by the diagonal.

Question 9.
Explain Mia says the circle is divided into fourths. Lucy says it is divided into quarters. Who is correct? Explain how you know.

Answer:
Lucy is correct
Explanation:
The difference between Fourth and Quarter. When used as nouns, fourth means the person or thing in the fourth position, whereas quarter meaning in math is 1/4 . When used as adjectives, fourth means the ordinal form of the number four, whereas quarter means pertaining to an aspect of a quarter.

Question 10.
Higher Order Thinking Dana draws a rectangle divided into fourths. She colors one half of the rectangle blue and one quarter of the rectangle green. Draw a rectangle to match the one Dana drew.
Answer:

Question 11.
Assessment Practice Yao colors a circle. One half of the circle is blue. The other half is NOT blue. Which shows the shape Yao could have colored? Choose two that apply.

Answer:

Lesson 15.3 Understand Halves and Fourths

Which is larger: one half or one fourth of the same sandwich?
Divide the sandwiches. Then circle the sandwich that has larger equal shares.

I can … tell that more equal shares of the same whole creates smaller shares.

Answer:

Visual Learning Bridge

Convince Me! David has a sandwich. Is half of the sandwich more or less food than one fourth of the sandwich? Explain.
Answer:
The half sandwich is more than the one fourth of the sandwich
Explanation:
One fourths means the sandwich is divided into 4 parts
whereas the half of sandwich means the sandwich is divided into 2 parts
half = 1 fourth + 1 fourth
so half of sandwich is more than one fourth of a sandwich

Guided Practice

Circle the shape that has more equal shares. Put an X on the shape that has larger equal shares.

Question 1.

Question 2.

Answer:

Question 3.

Answer:

Question 4.

Answer:

Independent Practice

Solve each Problem
Question 5.
Draw a line to divide this shape in half.

Answer:

Explanation:
If we draw a line exactly in the middle of the rectangle the rectangle will be divided into 2 equal halves

Question 6.
Shade one quarter of this shape.

Answer:

Explanation:
Shade 1 quarter of the circle.

Question 7.
Draw lines in the orange square to make smaller equal shares than are in the blue square.

Answer:

Explanation:
Draw a line dividing the orange square into 2 equal shares like in the blue squares

Question 8.
Higher Order Thinking Joan cuts a rectangle into 2 equal shares. Then she cuts each share in half. How many equal shares are there now? What are these shares called? Use words or pictures to explain.

Answer:
The rectangle is divided into 2 equal shares
The 2 equal shares are then divided into 2 equal share. which means
1 rectangle into 2 parts 2 parts into 2 parts each = 4 shares
These shares are called one fourth or quarters

Problem Solving

Solve each problem.
Question 9.
Reasoning Steve cuts one pan of cornbread into halves. He cuts another pan of cornbread into fourths. Each pan is the same size.

How many pieces did Steve cut in all? Which pieces are larger, the halves or the fourths? Use the picture to help you solve.
_______ pieces in all
The _______ are larger.
Answer:
6 pieces in all
The halves are larger.
Explanation:
1st pan is cut into 2 shares
And the 2nd pan is cut into 4 shares
2 + 4 = 6 pieces in all.
So the half pieces are larger.

Question 10.
Higher Order Thinking Burke and Alisha each have a sheet of paper. Both sheets are the same size. Burke uses one half of his sheet. Alisha uses two fourths of her sheet. Alisha says that they used equal amounts of paper.
Is she correct? Explain your answer. You can draw a picture to help.
Answer:
Yes. Alisha is correct
Explanation:
Bruke uses one half of the sheet
Alisha uses 2 fourths of the sheet

1 half = 1 fourth + 1 fourth
1 half = 2 fourth
So Alisha is correct
They used equal amounts of paper.

Question 11.
Assessment Practice Joey has two circles of the same size. He cuts one into halves and the other into fourths. Which words describe how the halves compare to the fourths?
A. smaller, more
B. smaller, fewer
C. larger, more
D. larger, fewer
Answer:
D
Explanation:
The halves are larger and fewer than the fourths.

Lesson 15.4 Problem Solving

Model with Math

Mary’s blanket is divided into 2 equal shares. One share of the blanket is yellow and the other is orange. How can you describe the share of the blanket that is yellow? Draw and color the blanket to show your work.

I can … make a drawing or diagram to show a problem about equal shares.
Answer:

Thinking Habits Can I use a drawing, diagram, table, graph, or objects to show the problem?

Visual Learning Bridge

Convince Me! Amy buys a green and blue rug. It is divided into 4 equal shares. Half of the rug is green. The rest is blue. How many shares are blue? How do you know?
Answer:
Amy buys a green and blue rug
She divides the rug into 4 equal shares

half of the rug is green = 2 fourths
that means the other half is colored blue = 2 fourths
that means 2 shares are blue

Guided Practice

Draw a picture to solve the problem. Then complete the sentence.
Question 1.
Pete makes a purple and yellow flag. The flag is divided into fourths. 2 shares are yellow. The rest of the flag is purple. How many of the shares are purple?
2 out of 1 equal shares are purple.
Answer:

2 out of 1 equal shares are purple.
2 out of 1 equal shares are yellow
there are 2 purple shares

Independent Practice

Draw a picture to solve each problem. Then complete the sentence.
Question 2.
Tracy’s pizza is cut into halves. She eats 1 of the shares. How many shares of the pizza does she eat?
Tracy eats _________ out of _________ equal shares.
Answer:
Tracy eats 1 out of 2 equal shares.
Explanation:
The pizza is cut into 2 equal shares
She eats 1 of the shares
2 halves – 1 halves = 1half
she eats 1 share of the pizza

Question 3.
Mia cut her sandwich into quarters. 2 of the shares have cheese. What share of the sandwich does NOT have cheese?
_________ out of _________ shares do NOT have cheese.
Answer:
2 out of 4 shares do NOT have cheese.

Question 4.
Algebra Color the correct number of shares to continue the pattern.

Answer:

Problem Solving

Performance Task
Question 5.
Pizza Shares
Kim cuts a pizza into 4 equal shares. She gives half of the pizza to Stephen.
Model Draw a picture to show the shares of the pizza that Stephen has.
Answer:

Question 6.
Reasoning How many shares of the pizza are left after Kim gives half to Stephen? Write the missing numbers.
_________ out of _________ shares are left.
Answer:
2 out of 4 shares are left.

Question 7.
Explain What if kim gives Stephen only I share of the pizza?
Explain how you can find the number of shares that Kim has left.
Answer:
Kim gave Stephen 1 share
no of shares Kim has now : 4 – 1 = 3 shares

Topic 15 Fluency Practice Activity

Find a partner. Point to a clue. Read the clue. Look below the clues to find a match. Write the clue letter in the box next to the match. Find a match for every clue.

I can … add and subtract within 10.

Clues
A. 4 + 2 + 1
B. 4 – 1
C. 5 – 3
D. 2 + 2 + 2
E. 5 – 1
F. 1 + 3 + 1
G. 4 + 4
H. 1 + 3 + 6

Vocabulary Review
Understand Vocabulary

Word List
• Equal shares
• Fourths
• Halves
• Quarters

Question 1.
Fill in the blank.
I can cut my sandwich into two equal parts called _______.
Answer:
Halves
Explanation:
I can cut my sandwich into two equal parts called halves.

Question 2.
Fill in the blank.
When you share a sandwich equally with three other people, you cut it into _______.
Answer:
Equal shares
Explanation:
When you share a sandwich equally with three other people, you cut it into equal shares.

Question 3.
Fill in the blank.
If you want everyone to get the same amount of a sandwich, you need to cut it into _______.
Answer:
Quarters
If you want everyone to get the same amount of a sandwich, you need to cut it into quarters.

Question 4.
Fill in the blank.
Four people share one whole carton of juice and each person gets the same amount. The whole carton is divided into _______.
Answer:
Fourths
Explanation:
Four people share one whole carton of juice and each person gets the same amount. The whole carton is divided into fourths.

Use Vocabulary in Writing
Question 5.
Explain one way you could share a snack with one or more friends. Use at least one term from the Word List.
Answer:
I could share a snack with one or more friend by dividing it into equal shares among the friends.

Topic 15 Reteaching

Set A
You can divide a whole into shares.

4 equal shares

0 equal shares

Write the number of equal shares in each shape. If the shares are NOT equal, write 0.
Question 1.

_______ equal shares
Answer:
2 equal shares

Question 2.

_______ equal shares
Answer:
0 equal shares

Set B

You can divide shapes into equal shares. You can describe the shares using the words half or fourth.

Divide and color the shapes for each problem.
Question 3.
one half green

Answer:

Explanation:
Divide the circle into halves and color one half of the circle green.

Question 4.
One fourth orange

Answer:

Explanation:
Divide the square into one fourths and color one fourth of the square orange

Set C

You can compare shares of the same shape that are different sizes.
These circles are the same size, but they are divided differently.

The red circle has larger equal shares.
The yellow circle has more equal shares.

Divide the shapes. Then circle the words that complete the sentences.

Answer picture:

Question 5.
The blue square has smaller / larger equal shares than the green square.
Answer:
Smaller
Explanation:
The blue square has smaller equal shares than the green square.

Question 6.
The green square has more / fewer equal shares than the blue square.
Answer:
Fewer
Explanation:
The green square has fewer equal shares than the blue square.

Set D

Thinking Habits
Model with Math
How can I use math words I know to help solve the problem?
Can I use a drawing, diagram, table, graph, or objects to show the problem?

Draw a picture to solve the problem.
Question 7.
Maya’s scarf is divided into 4 equal shares. 1 share is green. 2 shares are yellow. The rest is blue. What share of the scarf is blue?
_______ out of _______ equal shares is blue.
Answer:
1 out of 4 equal shares is blue.

Topic 15 Assessment Practice

Question 1.
A. Which shape shows 2 equal shares?

Answer:
C

B. Describe the shares in your answer to A.
Answer:
C
Explanation:
If we cut the circle along the line the two pieces overlap each other,
that means the 2 halves are equal

Question 2.
A. Which shape does NOT show one fourth colored blue?

Answer:
D

B. How do you know your answer to A is correct?
Answer:
The answer to A is correct as D is not divided into 4 equal parts so it does not have one fourth of the figure colored blue.

Question 3.
Divide the rectangle into halves. Then color half of the rectangle.
Explain how you know that you colored the right amount.

Answer:

Explanation:
First draw a line to divide the rectangle into 2 equal shares
Color 1 half of the rectangle

Question 4.
Compare the two shapes. Circle two ways to describe the equal shares in each.

Answer:

Question 5.
Ron draws a flag divided into 4 equal shares. 2 shares are purple and the rest are blue. How many shares of the flag are blue?
Draw a picture to solve the problem. Then complete the sentence.
_______ out of _______ equal shares are blue.
Answer:
2 out of 4 equal shares are blue.
Explanation:
Total shares : 4
Purple shares : 2
Blue share :4 – 2 = 2 shares

Topic 15 Performance Task

Kerry’s Kitchen Kerry loves to cook! She makes many different foods.
Question 1.
Kerry bakes a loaf of bread. She cuts it into equal shares. How many equal shares are there?

Answer:
4 equal shares.
Explanation:
Count the number of shares of the bread

There are 4 equal shares.

Question 2.
Kerry makes a pizza.
She cuts it so that she and her sister each get an equal share. What are the shares called? _______
Show two ways that Kerry could divide the pizza.

Answer:
One fourths

Explanation:
Kerry divided the pizza into 4 equal shares
So she and her sister gets equal amount of shares

Question 3.
Kerry makes a sandwich. She eats one half of it. Color to show how much she ate.

How many halves make the whole sandwich?
_______ halves

Answer:
2 halves

Explanation:
Half means 2 equal shares
If we divide the sandwich into 2 equal shares
There will be 2 halves
Kerry eats 1 half
so there is 1 more half of the sandwich left
Draw a line in the middle of the sandwich
Color one of the halves of the sandwich like in the picture below

Question 4.
Kerry makes a pan of oatmeal bars. She cuts up the bars.
Kerry says that she divided the bars into fourths.

Is she correct? Circle Yes or No.
Explain your answer.
Answer:

Explanation:
Dividing into fourths means every bar is the same size
Kerry divided incorrectly
Kerry must divide it like in the picture below:

Question 5.
Kerry makes a salad.
She cuts a tomato into four equal shares. She puts I equal share of the tomato in the salad.
Part A
Draw a picture to show the share of the tomato that is in the salad.

Part B
The equal shares that Kerry cut are called fourths.
What is another name for these shares?
Answer:
Quarters

Part C
How many fourths are in the whole tomato?
There are _______ fourths in the whole tomato.
Answer:
There are 4 fourths in the whole tomato.

Practice with the help of enVision Math Common Core Grade 1 Answer Key Topic 12 Measure Lengths regularly and improve your accuracy in solving questions.

enVision Math Common Core 1st Grade Answers Key Topic 12 Measure Lengths

Essential Question:
What are ways to measure how long an object is?

Project: Now You See Me, Now You Don’t!
Find Out Talk to friends and relatives about animals that can be seen in the dark. Ask how some animals can make themselves glow in the dark.
Journal: Make a Book Show what you found out. In your book, also:

• Draw pictures of animals that can glow in the dark.
• Think about how you could measure these animals.

Review What You Know

Vocabulary
Question 1.
Circle the number that is less than the number of cubes.

Answer:
The number that is less than the number of cubes = 3.

Explanation:
In the above-given figure,
given that,
there are 5 cubes.
the given numbers in the question are 3, 5, and 8.
3 is less than 5.
3 < 5.
8 is greater than 5.
8 > 5.
so the number we have to circle = 3.

Question 2.
Circle the number that is greater than the number of cubes.

Answer:
The number that is greater than the number of cubes = 5.

Explanation:
In the above-given figure,
given that,
there are 3 cubes.
the given numbers in the question are 1, 3, and 5.
1 is less than 3.
1 < 3.
5 is greater than 3.
5 > 3.
so the number we have to circle = 5.

Question 3.
Circle the symbol that is used to compare two numbers
+      –         >

Answer:
The symbol that is used to compare two numbers = greater than.

Explanation:
In the above-given question,
given that,
the three symbols are +, -, and >.
+ symbol is used to add two numbers.
example : 2 + 3 = 5.
– symbol is used to subtract two numbers.
example : 5 – 1 = 4.
> symbol is used to compare two numbers.
example : 3 > 1.

Comparing Numbers
Question 4.
Choose two numbers to make the sentence true.
_________ is less than ________.

Answer:
The two numbers are 2 and 4.

Explanation:
In the above-given question,
given that,
choose two numbers that one number is less than the other number.
so, I am choosing the numbers 2 and 4.
2 is less than 4.
2 < 4.
so the two numbers are 2 and 4.

Question 5.
Charlie has 9 stickers. Pearl has 5 stickers. Write these numbers and the symbol to compare the numbers.
___9___ ___5____

Answer:
The two numbers are 9 and 5.
9 is greater than 5.
5 is less than 9.

Explanation:
In the above-given question,
given that,
charlie has 9 stickers.
pearl has 5 stickers.
charlie has a greater number of stickers than pearl.
pearl has a lesser number of stickers than charlie.
9 > 5.
5 < 9.
the two numbers are 9 and 5.

Counting
Question 6.
Write the missing numbers.
6, 7, 8, _____, _____, 11, _____

Answer:
The missing numbers are 9, 10, and 12.

Explanation:
In the above-given question,
given that,
the numbers are 6, 7, 8, and 11.
the numbers are increasing by 1.
adding 1 to the number.
6 + 1 = 7.
7 + 1 = 8.
8 + 1 = 9.
9 + 1 = 10.
10 + 1 = 11.
11 + 1 = 12.
so the missing numbers are 9, 10, and 12.

Pick a Project

PROJECT 12A
Have you ever seen a real castle?
Project: Build Castles

PROJECT 12B
Have you ever seen a leaf this big?
Project: Make a Poster About Leaves

PROJECT 12C
How can you measure without using a ruler or tape measure?
Project: Collect Measurement Data

PROJECT 12D
Where would you like to go camping?
Project: Draw a Campsite Map

Lesson 12.1 Compare and Order by Length

Solve & Share
Can you put these objects in order from longest to shortest? How can you tell if one object is longer than another object?
I can .. order objects by length.

Answer:
The longest object is a pencil.
the shortest object is a pen.

Explanation:
In the above-given question,
given that,
the pencil is greater than the paintbrush and pen.
the pen is shorter than the pencil and paintbrush.
so the longest object is a pencil.
the shortest object is a pen.

Visual Learning Bridge

Convince Me! Use the words “shorter” and “shortest” to describe two different worms above.

Guided Practice

Draw lines to show which object is longest and which is shortest.
Question 1.

Answer:
The object in pink color is the longest.
the object in purple color is the shortest.

Explanation:
In the above-given question,
given that,
there are three objects.
the objects are pink, purple, and sky blue.
so among all those objects,
the object in pink color is the longest.
the object in purple color is the shortest.

Question 2.

Answer:
The paintbrush which has a painted green color is the longest.
the paintbrush which has a painted purple color is the shortest.

Explanation:
In the above-given question,
given that,
there are three paintbrushes.
the paintbrushes which have painted are sky blue, purple, and pink.
the purple color brush is shorter than green and sky blue brushes.
the green color brush is longer than purple and sky blue brushes.
so the paintbrush which has a painted green color is the longest.
the paintbrush which has a painted purple color is the shortest.

Independent Practice

Draw lines to show which object is longest and which is shortest.
Question 3.

Answer:
The green color object is the shortest.
the pink color object is the longest.

Explanation:
In the above-given question,
given that,
there are 3 objects.
the objects are green, sky blue, and pink color.
the green color object is shorter than sky blue and pink objects.
the pink color object is longer than sky blue and green objects.
the green color object is the shortest.
the pink color object is the longest.

Question 4.

Answer:
The last pencil is the longest.
the middle pencil is the shortest.

Explanation:
In the above-given question,
given that,
there are three pencils which are in a different size.
the pencil which is in middle has shorter than the 1st and 3rd pencils.
the pencil which is in 3rd has longer than 1st and 2nd pencils.
so the last pencil is the longest.
the middle pencil is the shortest.

Vocabulary Use the clues about length to color the crayons.
Question 5.
The shortest crayon is orange. The blue crayon is longer than the green crayon.

Answer:
The longest crayon is blue.
the shortest crayon is orange.

Explanation:
In the above-given question,
given that,
the shortest crayon is orange.
the blue crayon is longer than the green crayon.
so we have to draw the green color to the first crayon.
we have to draw the blue color to the second crayon.
we have to draw the orange color to the third crayon.
the longest crayon is blue.
the shortest crayon is orange.
Problem Solving

Solve the problems.
Question 6.
Be Precise Tomaz paints a line that is longer than the blue line. What color line did he paint? Use the picture to solve.

Answer:
The line he painted is a red line.

Explanation:
In the above-given question,
given that,
Tomaz paints a line that is longer than the blue line.
he painted two lines.
the two lines are a yellow color and red color.
the line that is longer than the blue line is a red line.
so the line he painted is a red line.

Question 7.
Compare the lengths. Write the names of these three objects from shortest to longest.
______ Shortest
_______
________ Longest

Answer:
The shortest object is the feather.
the longest object is the pencil.

Explanation:
In the above-given question,
given that,
compare the lengths from shortest to longest.
feather is longer than the screw and pencil.
the screw is shorter than the feather and pencil.
so the screw is the shortest object.
the pencil is the longest object.

Question 8.
Higher Order Thinking Draw 3 lines with different lengths in order from longest to shortest. Label the longest and shortest lines.

Answer:
The 1st line is the shortest.
the 2nd line is the longest.

Explanation:
In the above-given question,
given that,
draw 3 lines with different lengths in order from longest to shortest.
the 1st line is shorter than the 2nd and 3rd lines.
the 2nd line is longest than the 1st and 3rd lines.
so the 1st line is the shortest.
the 2nd line is the longest.

Question 9.
Assessment Practice Which list shows the order from longest to shortest?

A. Blue pen, red pen, green pen
B. Red pen, blue pen, green pen
C. Green pen, blue pen, red pen
D. Red pen, green pen, blue pen

Answer:
Option B is the correct answer.

Explanation:
In the above-given question,
given that,
there are 3 pens.
they are in blue, green, and red color.
the red pen is longer than the green and blue pens.
the green pen is shorter than the red and blue pens.
so the order from longest to shortest is red, blue, and green.

Lesson 12.2 Indirect Measurement

Solve & Share
How can you find out whether the shoe or the pencil is longer without putting them next to each other? What can you use? Circle the longer object and explain how you found out.
I can … indirectly compare objects by length.

Answer:
The pencil is longer than the shoe.
the shoe is shorter than the pencil.

Explanation:
In the above-given question,
given that,
there are two objects in the figure.
the objects are the pencil and the shoe.
the pencil is longer than the shoe.
the shoe is shorter than the pencil.

Visual Learning Bridge

Convince Me! What is the longest object in the pictures above? How do you know?

Answer:
I compare the length of the pencils by string.

Explanation:
In the above-given question,
given that,
there are two pencils which are in different sizes.
the pencils are in red and blue color.
the string is longer than the blue pencil.
the string is greater than the red pencil.
so the blue pencil is shorter than the string.
the red pencil is longer than the string.

Guided Practice

Circle the picture of the object that is longer. Use the red crayon to help.
Question 1.

Answer:
The object which is green in color is the longest.

Explanation:
In the above-given question,
given that,
circle the picture of the object that is longer.
there are two objects.
the two objects are green and blue in color.
the green object is longest than the blue object.
the blue object is shortest than the green object.
the green color object is the longest object.

Question 2.

Answer:
The leaf is longer than the other object.

Explanation:
In the above-given question,
given that,
circle the picture of the object that is longer.
there are two objects.
they are leaf and the object.
the leaf is greater than the object.
the object is shorter than the leaf.
the leaf is the longest object.

Independent Practice

Circle the picture of the object that is longer. Use the orange string to help.
Question 3.

Answer:
The frog is the longest object.

Explanation:
In the above-given question,
given that,
circle the picture of the object that is longer.
the frog is longer than the string.
the leaf is shorter than the string.
so we have to circle the frog.
frog is the longest object.

Question 4.

Answer:
Scissors are the longest object.

Explanation:
In the above-given question,
given that,
circle the picture of the object that is longer.
scissors is longer than the string.
the stapler is shorter than the string.
so the longest object is the scissors.
we have to circle the scissors.

Question 5.

Answer:
Math book is the longest object.

Explanation:
In the above-given question,
given that,
circle the picture of the object that is longer.
there are two objects.
the objects are a math book and toothpaste.
math book is greater than the string.
toothpaste is shorter than the string.
so math book is the longest object.
we have to circle the math book.

Question 6.

Answer:
Toothpaste is the longest object.

Explanation:
In the above-given question,
given that,
circle the picture of the objects that is longer.
the objects are toothpaste and a stapler.
the toothpaste is longer than the string.
the stapler is shorter than the string.
we have to circle the toothpaste.
so the longer object is the toothpaste.

Question 7.
Higher Order Thinking Use the pictures of the objects in Items 5 and 6 to fill in the blanks.
The book is longer than the _________.
The toothpaste is longer than the ___________.
So, the book is ___________ than the stapler.

Answer:
The book is longer than the stapler.

Explanation:
In the above-given question,
given that,
the book is longer than the toothpaste.
toothpaste is shorter than the math book.
toothpaste is longer than the stapler.
stapler is shorter than the toothpaste.
so the book is longer than the stapler.

Problem Solving

Solve each problem below.
Question 8.
Make Sense Use the clues to figure out the name of each dog.
Clues

• Tango is taller than Bongo.
• Turbo is shorter than Bongo.
  
  Answer:
  The first figure is Turbo.
  the second figure is Bongo.
  the third figure is Tango.
  Explanation:
  In the above-given question,
  given that,
  Tango is taller than Bongo.
  Turbo is smaller than Bongo.
  so Tango is the longest.
  Turbo is the smallest.
  

Question 9.
Higher Order Thinking Josh has two crayons and a piece of string. Explain how he can decide which is the longer crayon without putting the crayons together.

Answer:
The green crayon is the longest crayon.

Explanation:
In the above-given question,
given that,
Josh has two crayons and a piece of string.
the green crayon is longer than the string.
the orange crayon is shorter than the string.
so the green crayon is the longest crayon.
we have to circle the green crayon.

Question 10.
Assessment Practice Circle the key that is longer. Use the blue string to help.

Answer:
The ash color key is the longest key.

Explanation:
In the above-given question,
given that,
circle the key that is longer.
we are measuring the keys with the help of blue strings.
yellow key is shorter than the string.
ash color key is longer than the string.
so we have to circle the ash color key.

Lesson 12.3 Use Units to Measure Length

Solve & Share
How can you use small paper clips to tell how long the pencil is? How can you use big paper clips to tell how long the pencil is?
I can … Use small same-sized objects to measure the length of a longer object.

Answer:
The pencil is 4 times the small paper clips.
the pencil is 3 times the big paper clips.

Explanation:
In the above-given question,
given that,
I can use small sized-objects to measure the length of a long object.
the pencil is 4 times about the small paper clips.
the pencil is 3 times about the big paper clips.

Visual Learning Bridge

Convince Me! Why do you have to line up the edge of the cubes with the edge of the marker?

Guided Practice

Use cubes to measure the length.
Question 1.

Answer:
The length of the stapler is 4 times the length of the cube.

Explanation:
In the above-given question,
given that,
use cubes to measure the length.
the cubes are in small size.
4 cubes is equal to the object.
the length of the stapler is 4 times the length of the cube.

Question 2.

Answer:
The length of the object is 3 times the length of the cube.

Explanation:
In the above-given question,
given that,
use cubes to measure the length.
the cubes are in small size.
3 cubes is equal to the object.
the length of the object is 3 times the length of the cube.

Independent Practice

Use cubes to measure the length.
Question 3.

Answer:
The length of the object is 10 times the length of the cube.

Explanation:
In the above-given question,
given that,
use cubes to measure the length.
the cubes are in small size.
10 cubes is equal to the object.
the length of the object is 10 times the length of the cube.

Question 4.

Answer:
The length of the object is 4 times the length of the cube.

Explanation:
In the above-given question,
given that,
use cubes to measure the length.
the cubes are in small size.
4 cubes is equal to the object.
the length of the object is 4 times the length of the cube.

Question 5.
Draw a circle around the correct way to measure. Then tell how long the crayon is.

Answer:
The length of the crayon is 3.

Explanation:
In the above-given question,
given that,
draw a circle around the correct way to measure.
the small paper clips is used to measure the crayon.
3 paper clips are used to measure the crayon.
so the length of the crayon = 3.

Problem Solving

Solve the problems below.
Question 6.
A piece of wood is 3 cubes thick. A screw that goes into the wood needs to be shorter than 3 cubes. Measure the length of the screw. Is the screw shorter than 3 cubes?
Circle Yes or No.
Yes
No

Answer:
The screw is shorter than 3 cubes.

Explanation:
In the above-given question,
given that,
A piece of wood is 3 cubes thick.
a screw that goes into the wood needs to be shorter than 3 cubes.
the screw is shorter than 3 cubes.
the length of the screw is 2 cubes.

Question 7.
Draw a train that is longer than 3 cubes but shorter than 6 cubes. Then use cubes to measure.
My train is about ________ long.

Answer:
The train is about 5 cubes long.

Explanation:
In the above-given question,
given that,
draw a train that is longer than 3 cubes but shorter than 6 cubes.
the train is longer than 3 cubes.
the train is shorter than 6 cubes.
the train is about 5 cubes long.

Question 8.
Higher Order Thinking Kate and Tim are both using paper clips to measure the same feather. Kate says the feather is 4 paper clips long. Tim says the feather is 6 paper clips long. Explain how they could both be correct.

Answer:
Yes, they both are correct.

Explanation:
In the above-given question,
given that,
Kate and Tim are both using paper clips to measure the same feather.
Kate says the feather is 4 paper clips long.
Tim says the feather is 6 paper clips long.
small paper clips are equal to 6.
long paper clips are equal to 4.

Question 9.
Assessment Practice which is NOT the correct length of the marker shown? Choose three that apply.

Answer:
The length of the marker is not equal to the length of 1 cube.

Explanation:
In the above-given question,
given that,
The length of the marker is equal to the length of the 5 cubes.
the length of the marker is equal to the length of the 10 cubes.
the length of the marker is equal to the length of the 20 cubes.

Lesson 12.4 Problem Solving

Use Appropriate Tools
Solve & Share
Pick one or more of these tools to measure the length of the track. About how long is it? Circle the tools you used.
I can … choose an appropriate tool and use it to measure a given object.

The track is about ________ long.

Answer:
I can use straws to measure the length of the track.

Explanation:
In the above-given question,
given that,
pick one or more of these tools to measure the length of the track.
the length of the 5 straws is equal to the length of the track.
so the track is about 5 straws long.

Thinking Habits
Which tools can I use?
Is there a different tool I could use?

Visual Learning Bridge

Convince Me! How does using a string help you measure the length of the snake?

Guided Practice

Circle whether you need just straws or the straws and a string to measure the length of each object. Then measure.
Question 1.

Answer:
The length of the object is about 3 straws.

Explanation:
In the above-given question,
given that,
circle whether you need just straws or the straws and a string to measure the length of each object.
i here used is straws and strings.
so the length of the object is about 3 straws.

Question 2.

about _________ straws

Answer:
The length of the object is about 6 straws.

Explanation:
In the above-given question,
given that,
I use only straws to measure the length of the object.
so the length of the object is about 6 straws.

Independent Practice

Circle whether you need just straws or the straws and a string to measure the length of each object. Then measure.
Question 3.

about _________ straws

Answer:
The length of the object is about 4 straws.

Explanation:
In the above-given question,
given that,
I used both strings and straws to measure the length of the object.
I used 2 strings and 2 straws to measure the length of the object.
2 + 2 = 4.
so the length of the object is about 4 straws.

Question 4.

about _________ straws

Answer:
The length of the object is about 2 straws.

Explanation:
In the above-given question,
given that,
the length of the object is about 2 straws.
2 straws length is equal to the length of the object.

Question 5.

about _________ straws

Answer:
The length of the object is about 3 straws.

Explanation:
In the above-given question,
given that,
use straws or straws and strings to measure the length of the object.
so i used one string and 2 straws to measure.
2 + 1 = 3.
so the length of the object is about 3 straws.

Question 6.

about _________ straws

Answer:
The length of the object is about 6 straws.

Explanation:
In the above-given question,
given that,
use straws or straws and strings to measure the length of the object.
i used straws and strings to measure the length of the object.
3 + 3 = 6.
so the length of the object is about 6 straws.

Problem Solving

Performance Task
Ant Paths Kate wants to know which path to the anthill is longer.

Answer:
Path A is longer to the anthill.

Explanation:
In the above-given question,
given that,
Ant paths Kate wants to know which path to the anthill is longer.
so the path from A is longer.
the path from B is shorter than path A.
so path A is longer to the anthill.

Question 7.
Use Tools Circle the tool or tools that Kate should use to measure.
straws
string and straws

Answer:
Kate used both string and straws to measure the paths.

Explanation:
In the above-given question,
given that,
use tools to measure and circle the tools that kate should use to measure.
so kate used both string and straws to measure.

Question 8.
Explain why you made that choice.

Answer:
We cannot measure only with the help of straws.

Explanation:
In the above-given question,
given that,
kate used both straws and string to measure the length of the paths.
only with the help of straws, we cannot measure.

Question 9.
Use Tools Measure each path. Which path is longer?
Path A is about _________ straws long.
Path B is about __________ straws long.
Path _______ is longer.

Answer:
Path A is about 10 straws long.
path B is about 9 straws long.

Explanation:
In the above-given question,
given that,
kate used both straws and strings to measure the paths.
so path A is about 10 straws long.
path B is about 9 straws long.
so path A is the longest path.

Topic 12 Fluency Practice Activity

Find a Match
Find a partner. Point to a clue. Read the clue. Look below the clues to find a match. Write the clue letter in the box next to the match. Find a match for every clue.
I can … add and subtract within 10.
Clues
A. 8 + 1
B. 4 + 4
C. 8 – 3
D. 8 – 7
E. 8 – 1
F. 1 + 1
G. 4 + 2
H. 1 + 3

Answer:
8 + 1 = 9, 4 + 4 = 8, 8 – 3 = 5, 8 – 7 = 1, 8 – 1 = 7, 1 + 1 = 2, 4 + 2 = 6, and 1 + 3 = 4.

Explanation:
In the above-given question,
given that,
8 + 1 = 9 and 10 – 1 = 9.
4 + 4 = 8 and 8 – 0 = 8.
8 – 3 = 5 and 3 + 2 = 5.
8 – 7 = 1 and 5 – 4 = 1.
8 – 1 = 7 and 4 + 3 = 7.
1 + 1 = 2 and 7 – 5 = 2.
4 + 2 = 6 and 9 – 3 = 6.
1 + 3 = 4 and 6 – 2 = 4.

Topic 12 Vocabulary Review

Word List
• length
• longer
• longest
• measure
• shorter
• shortest

Understand Vocabulary
Question 1.
Fill in the blank.
I can use objects that are the same size to __________ to find out how long something is.

Answer:
The missing answer is the measure.

Explanation:
In the above-given question,
given that,
we can use objects to measure the lengths.
I can use objects that are the same size to measure to find out how long something is.
so I used the word measure.

Question 2.
Fill in the blank.
The _________ of an object must be measured with units that are all the same size.

Answer:
The missing answer is length.

Explanation:
In the above-given question,
given that,
we will use the word while measuring its length.
so I used the word length.
the missing word in length.
so the length of an object must be measured with units that are all the same size.

Question 3.
Circle the lines that are longer than this one.

Answer:
The longer lines are the first and third lines.

Explanation:
In the above-given question,
given that,
circle the lines that are longer than the given line.
the first line is longer than the given line.
the second line is shorter than the given line.
the third line is longer than the given line.
so the lines first and third are longer.

Question 4.
Circle the shortest line.

Answer:
The third line is the shortest line.

Explanation:
In the above-given question,
given that,
circle the shortest line.
there are three lines in the figure.
the first line is shorter than the second line.
the second line is longer than the first and third lines.
the third line is shorter than the first and second lines.
so the shortest line is the third line.

Question 5.
Cross out the tool that can NOT be used to measure length.
cubes
number chart
string and straws

Answer:
The tool that cannot be used to measure length is a number chart.

Explanation:
In the above-given question,
given that,
they are given the three tools.
they are cubes, number charts, and string, and straws.
cubes are used to measure the length.
string and straws are used to measure the length.
so a number chart cannot be used to measure length.

Use Vocabulary in Writing
Question 6.
Write something you notice about objects in your classroom. Use at least one term from the Word List.

Answer:
The object is a chalk piece.

Explanation:
In the above-given question,
given that,
write something you notice about objects in your classroom.
I used the word is cubes.
2 cubes are equal to the length of the chalkpiece.
the object I noticed in the classroom is chalk piece.

Topic 12 Reteaching

Set A

You can find the object that is the longest.

Circle the longest line in each group. Draw a box around the shortest line in each group.
Question 1.

Answer:
The longest line is yellow.
the shortest line is blue.

Explanation:
In the above-given question,
given that,
circle the longest line in each group.
draw a box around the shortest line in each group.
there are three lines in the figure.
they are blue, red, and yellow in color.
the blue line is shorter than red and yellow.
red is longer than blue and shorter than yellow.
the yellow line is longer than the red and blue lines.

Question 2.

Answer:
The longest line is blue.
the shortest line is red.

Explanation:
In the above-given question,
given that,
circle the longest line in each group.
draw a box around the shortest line in each group.
there are three lines in the figure.
they are blue, red, and yellow in color.
the blue line is longer than red and yellow.
red is shorter than blue and yellow.
the yellow line is longer than the red and shorter than the blue line.

Set B

You can compare the lengths of two objects that are not lined up next to each other by using a third object.
The paper clip is shorter than the eraser. The pencil is longer than the eraser. So, the pencil is longer than the paper clip.

Circle the picture of the object that is longer. Use the red object to help.
Question 3.

Answer:
The math book is longer than the crayon.

Explanation:
In the above-given question,
given that,
circle the picture of the object that is longer.
the crayon is shorter than the red object.
the math book is longer than the red object.
so the math book is longer than the crayon.

Question 4.

Answer:
The crayon is longer than the toothpaste.

Explanation:
In the above-given question,
given that,
circle the picture of the object that is longer.
the crayon is longer than the red object.
toothpaste is shorter than the red object.
so the crayon is longer than the toothpaste.

Set C

You can use same-size objects to measure the length of an object.

Use cubes to measure.
Question 5.

about ________ cubes

Answer:
The length of the object is about 5 cubes.

Explanation:
In the above-given question,
given that,
use cubes to measure the length of the object.
so I used 5 cubes to measure.
so the length of the object is about 5 cubes.

Question 6.

about ________ cubes

Answer:
The length of the object is about 3 cubes.

Explanation:
In the above-given question,
given that,
use cubes to measure the length of the object.
so I used 3 cubes to measure.
so the length of the object is about 3 cubes.

Set D

Thinking Habits
Use Tools What tool can I use to help solve the problem?
Can I use a different tool? Why or why not?

Choose the tool or tools you can use to measure the object. Then measure the length.
Question 7.

about _________ straws

Answer:
The length of the snake is 5.

Explanation:
In the above-given question,
given that,
choose the tool or tools you can use to measure the object.
so I used string and straws to measure the length of the object.
the length of the object is 5.

Topic 12 Assessment Practice

Question 1.
What tool would you use to measure the length of the picture?

______________

Answer:
The tool that would use to measure the length of the picture cubes.

Explanation:
In the above-given question,
given that,
the tools are straws, strings, and cubes.
so I used to measure with cubes.
the tool I used cubes.

Question 2.
What is the length of the shoe in paper clips?

_________ paper clips

Answer:
The length of the shoe in paper clips = 7.

Explanation:
In the above-given question,
given that,
the length of the shoe in paper clips.
they used 7 paper clips to measure the length of the shoe.
so the length of the shoe in paper clips = 7.

Question 3.
Which word describes the red line?

Answer:
The word describes the red line as longest.

Explanation:
In the above-given question,
given that,
there are three lines in the figure.
they are blue, black, and red.
the red line is longer than the blue and black lines.
so the word describes the red line as longest.

Question 4.
What is the length of the notebook in cubes?

________ cubes

Answer:
The length of the notebook is 8 cubes.

Explanation:
In the above-given question,
given that,
the length of the notebook is measured with the help of the cubes.
8 cubes are equal to the length of the notebook.
so the length of the notebook is 8 cubes.

Question 5.
Choose three statements that are true about the image below.

☐ The feather is 7 cubes long.
☐ The feather is being measured correctly.
☐ The feather is 8 cubes long.
☐ The right end of the feather is at 7 cubes.
☐ The right end of the feather is at 8 cubes.

Answer:
The feather is being measured correctly.
the right end of the feather is at 8 cubes.
the feather is 8 cubes long.

Explanation:
In the above-given question,
given that,
the three correct statements about the feather are:
The feather is being measured correctly.
the right end of the feather is at 8 cubes.
the feather is 8 cubes long.

Question 6.
Which sentences are true about the lines?
Choose 2 that apply.

☐ The blue line is shortest.
☐ The blue line is longer than the yellow line.
☐ The red line is shortest.
☐ The yellow line is longer than the blue line.
☐ The yellow line is the longest.

Answer:
The blue line is longer than the yellow line.
the red line is the shortest.

Explanation:
In the above-given question,
given that,
there are three lines in red, yellow, and blue.
the blue line is longer than the red and yellow lines.
the red line is shorter than the blue and yellow lines.
the yellow line is longer than the red line and shorter than the blue line.
so the blue line is longer than the yellow line.
the red line is the shortest line.

Circle the object that is shorter. Use the red object to help. Explain.
Question 7.

Answer:
The cube is shorter than the red object.

Explanation:
In the above-given question,
given that,
circle the object that is shorter.
cube is shorter than the red object.
crayon is longer than the red object.
so the cube is shorter than the crayon.

Question 8.

Answer:
The eraser is shorter than the pen.

Explanation:
In the above-given question,
given that,
circle the object that is shorter.
the pen is longer than the pencil.
eraser is shorter than the pencil.
so the eraser is shorter than the pen.

Topic 12 Performance Task

School Supplies
Sally uses many different supplies at school.
Question 1.
Which pencil is the longest?
Circle that color.
Which pencil is the shortest? Cross out that color.
yellow
red
blue

Answer:
The red pencil is the longest.
the blue pencil is the shortest.

Explanation:
In the above-given question,
given that,
there are three pencils in blue, red, and yellow color.
the red pencil is longer than the blue and yellow pencils.
the blue pencil is the shortest than the red and yellow pencils.
so the red pencil is the longest.
the blue pencil is the shortest.

Question 2.
Which object is longer, the glue stick or the eraser? Circle that object. Use the orange crayon to help.

Answer:
The glue stick is longer.

Explanation:
In the above-given question,
given that,
there are 2 objects.
they are a glue stick and an eraser.
the glue stick is longer than the crayon.
the eraser is shorter than the crayon.
so the glue stick is longer than the eraser.

Question 3.
Sally is making a bookmark. She needs a strip of paper longer than 8 cubes.

Use cubes. Could Sally use this strip of paper?
Circle Yes or No.
Yes
No
Explain your answer.

Answer:
Yes, Sally uses the strip of paper.

Explanation:
In the above-given question,
given that,
sally is making a bookmark.
she needs a strip of paper longer than the 8 cubes.
so sally uses the strip of paper.

Question 4.
Sally uses the two ribbons below for her art project.
Part A
Which tools would you use to measure Explain.

Part B
Use tools to measure the length of each ribbon.

about _______ straws

about ________ straws

Answer:
Sally used about 4 straws to measure the length of 1st ribbon.
sally used about 8 straws to measure the length of 2nd ribbon.

Explanation:
In the above-given question,
given that,
there are two ribbons.
the ribbons are pink and purple in color.
sally used 4 straws to measure the length of 1st ribbon.
sally used 8 straws to measure the length of 2nd ribbon.

Practice with the help of enVision Math Common Core Grade 1 Answer Key Topic 9 Compare Two-Digit Numbers regularly and improve your accuracy in solving questions.

enVision Math Common Core 1st Grade Answers Key Topic 9 Compare Two-Digit Numbers

enVision STEM Project: Light and Objects

Find Out Talk to friends and relatives about light. Discuss how light changes when it shines on different kinds of objects.

Journal: Make a Book Show what you found out. In your book, also:

• Draw pictures showing light shining on objects that are see-through and not see-through.
• Make up and solve number of stories about shining light on different objects.

Review What You Know

Vocabulary

Question 1.
Circle the group of cubes that has more.

Answer:

Explanation :
The orange cubes are 3
The Green cubes are 5
3 < 5 . so Green cubes are circled .

Question 2.
Circle the group of cubes that has less.

Answer:

Explanation :
The orange cubes are 3
The Green cubes are 5
3 < 5 . so orange cubes are circled .

Question 3.
How many tens are in the number?
50
___ tens
Answer:
50 = 5 tens
Explanation :
counting

Number Lines

Question 4.
Use the number line to count by 10s. Write the missing numbers.

Answer:

Explanation :
Count on Tens 10, 20, 30 and 40 .

Question 5.
Pat sees 5 bugs. Erin sees 6 bugs. How many bugs did they see in all?
Use the number line to count.

___ bags
Answer:
Number of bugs seen by Pat = 5 bugs
Number of bugs seen by Erin = 6 bugs
Total Number of bugs = 5 + 6 = 11 bugs  .

Hundred Chart

Question 6.
Use the part of the hundred chart to count.

Answer:
18, 19 , 20, 21, 22
Explanation:
Count by ones from 18 to 22 .

Pick a Project

PROJECT 9A

How hot can it get?
Project: Create a Temperature Drawing

Answer :

The climate is too hot as the camel cannot take the weight of the person so, walking in the Sand .

PROJECT 9B
Where did they all come from?
Project: Make a Shorebird Comparison Model

Answer :
Instructions used to make a Shoe bird

PROJECT 9C
How was that made?
Project: Make a Sponge Stamp Picture

Answer :

Explanation :
Take the sponge .
Cut the sponge into required shape like star, Moon , Heart and aetc into different shapes .
Then later , Put the required shape sponge in water colors or ink .
Then Press the sponge imprint on the paper . then required drawing can be made with the required shape .

Math Modeling

Digit Flip

3-ACT MATH PREVIEW
Before watching the video, think: Have you ever played a card game? What were some of the rules? How did someone win the game?

Lesson 9.1 1 More, 1 Less; 10 More, 10 Less

Solve & Share

Sarah has 12 marbles. Chris has one more marble than Sarah. Lucia has 10 more marbles than Sarah. How many marbles does Chris have? How many marbles does Lucia have? Show how you know.

Answer :
Number of Marbles with Sarah = 12
Number of Marbles with Chris = one more marble than Sarah = 12 + 1 = 13
Number of Marbles with Lucia = ten more marble than Sarah = 12 + 10 = 23

Visual Learning Bridge

Convince Me!
How can you find 10 more than a number? Explain.
Answer :
To find 10 more than a number, add 1 to the digit at the tens place.

Guided Practice

Use place-value blocks to show each number and to help you complete each sentence.

Question 1.

Answer:
1 more than 45 is 46
1 less than 45 is 44
10 more than 45 is 55
10 less than 45 is 35

Question 2.

1 more than 17 is ___
1 less than 17 is ___
10 more than 17 is ___
10 less than 17 is ___
Answer:
1 more than 17 is 18
1 less than 17 is 16
10 more than 17 is 27
10 less than 17 is 7

Independent Practice

Use place-value blocks to show each number and to help you
complete each sentence.

Question 3.

1 more than 11 is ___
1 less than 11 is ___
10 more than 11 is ___
10 less than 11 is ___
Answer:
1 more than 11 is 12
1 less than 11 is 10
10 more than 11 is 21
10 less than 11 is 1

Question 4.

1 more than 40 is ___
1 less than 40 is ___
10 more than 40 is __
10 less than 40 is ___
Answer:
1 more than 40 is 41
1 less than 40 is 39
10 more than 40 is 50
10 less than 40 is 30

Question 5.

1 more than 81 is ___
1 less than 81 is ___
10 more than 81 is ___
10 less than 81 is ___
Answer:
1 more than 81 is 82
1 less than 81 is 80
10 more than 81 is 91
10 less than 81 is 71

Question 6.

1 more than 19 is ___
1 less than 19 is ____
10 more than 19 is ___
10 less than 19 is ___
Answer:
1 more than 19 is 20
1 less than 19 is 18
10 more than 19 is 29
10 less than 19 is 9

Question 7.

1 more than 65 is ___
1 less than 65 is ___
10 more than 65 is ___
10 less than 65 is ___
Answer:
1 more than 65 is 66
1 less than 65 is 64
10 more than 65 is 75
10 less than 65 is 55

Question 8.

1 more than 43 is ___
1 less than 43 is ___
10 more than 43 is ___
10 less than 43 is ___
Answer:
1 more than 43 is 44
1 less than 43 is 42
10 more than 43 is 53
10 less than 43 is 33

Question 9.
Higher Order Thinking Circle the picture that shows 10 more than 24. Explain how you know.

Answer:

Explanation :
To find 10 more than a number, add 1 to the digit at the tens place.
24 + 10 = 34 .

Problem Solving
Solve each problem below.

Question 10.
Generalize Sheila wants to write instructions to tell her friend how to find 10 more than any number. What instructions should Sheila write?
Answer:
Instructions are :
To find 10 more than a number, add 1 to the digit at the tens place.
When we add 10 the ones always stay the same.

Question 11.
Number Sense Fill in the missing numbers. Use place-value blocks to help you.

Answer:

Question 12.
Higher Order Thinking Write and solve a riddle for a number greater than 40 and less than 60. Use “I more than” and “I less than” or “10 more than” and “10 less than” as clues.
Clues: __________
_______________
_______________
My number is ____.
Answer:
My number is 44

Question 13.
Assessment Practice Match each number with its description.

Answer:

Lesson 9.2 Find Numbers on a Hundred Chart

Solve & Share

How can you use a hundred chart to help you find I more than 36? What about I less, 10 more, and 10 less than 36? Write the numbers.

1 more than 36 is ___.
10 more than 36 is ___
1 less than 36 is ___
10 less than 36 is ____
Answer :
1 more than 36 is 37
10 more than 36 is 46
1 less than 36 is 35
10 less than 36 is 26 .
Explanation :
1 more than 36 means the next number to its right as per hundred chart .
10 more than 36 means the number below 36 as per hundred chart .
1 less than 36 means before number to its left as per hundred chart .
10 less than 36 means the Number above 36 as per hundred chart .

Visual Learning Bridge

Convince Me!
How could you use a hundred chart to find what number is 10 more than 86? What number is that?
Answer :

Explanation :
1 more than 86 means the next number to its right as per hundred chart .
10 more than 86 means the number below 86 as per hundred chart .
1 less than 86 means before number to its left as per hundred chart .
10 less than 86 means the Number above 86 as per hundred chart .

Guided Practice
Complete the part of the hundred chart. Practice Use place-value blocks if needed.

Question 1.

Answer:

Explanation :
1 more than 33 means the next number to its right as per hundred chart .
10 more than 33 means the number below 33 as per hundred chart .
1 less than 33 means before number to its left as per hundred chart .
10 less than 33 means the Number above 33 as per hundred chart .

Question 2.

Answer:

Explanation :
1 more than 46 means the next number to its right as per hundred chart .
10 more than 46 means the number below 46 as per hundred chart .
1 less than 46 means before number to its left as per hundred chart .
10 less than 46 means the Number above 46 as per hundred chart .

Independent Practice

Use a hundred chart to complete each sentence. Use place-value blocks if needed.

Question 3.
1 more than 37 is ___.
1 less than 37 is ____.
10 more than 37 is ___.
10 less than 37 is ____.
Answer:
1 more than 37 is 38.
1 less than 37 is  36.
10 more than 37 is 47.
10 less than 37 is 27

Explanation :
1 more than 37 means the next number to its right as per hundred chart .
10 more than 37 means the number below 37 as per hundred chart .
1 less than 37 means before number to its left as per hundred chart .
10 less than 37 means the Number above 37 as per hundred chart .

Question 4.
1 more than 22 is ___.
1 less than 22 is ___.
10 more than 22 is ___.
10 less than 22 is ___.
Answer:
1 more than 22 is 23.
1 less than 22 is 21.
10 more than 22 is 32.
10 less than 22 is 12

Explanation :
1 more than 22 means the next number to its right as per hundred chart .
10 more than 22 means the number below 22 as per hundred chart .
1 less than 22 means before number to its left as per hundred chart .
10 less than 22 means the Number above 33 as per hundred chart .

Question 5.
1 more than 54 is ___
1 less than 54 is ____
10 more than 54 is ___
10 less than 54 is ___
Answer:
1 more than 54 is 55
1 less than 54 is 53
10 more than 54 is 64
10 less than 54 is 44

Explanation :
1 more than 54 means the next number to its right as per hundred chart .
10 more than 54 means the number below 54 as per hundred chart .
1 less than 54 means before number to its left as per hundred chart .
10 less than 54 means the Number above 33 as per hundred chart .

Question 6.
1 more than 78 is ___.
1 less than 78 is ___.
10 more than 78 is ___.
10 less than 78 is ___.
Answer:
1 more than 78 is 79.
1 less than 78 is . 77
10 more than 78 is  88.
10 less than 78 is 68

Explanation :
1 more than 78 means the next number to its right as per hundred chart .
10 more than 78 means the number below 78 as per hundred chart .
1 less than 78 means before number to its left as per hundred chart .
10 less than 78 means the Number above 78 as per hundred chart .

Question 7.
1 more than 82 is ___
1 less than 82 is ____
10 more than 82 is ___.
10 less than 82 is ___.
Answer:
1 more than 82 is 83
1 less than 82 is 81
10 more than 82 is 92.
10 less than 82 is 72

Explanation :
1 more than 82 means the next number to its right as per hundred chart .
10 more than 82 means the number below 82 as per hundred chart .
1 less than 82 means before number to its left as per hundred chart .
10 less than 82 means the Number above 82 as per hundred chart .

Question 8.
1 more than 16 is ___
1 less than 16 is ___
10 more than 16 is ___
10 less than 16 is ___
Answer :
1 more than 16 is 17
1 less than 16 is 15
10 more than 16 is 26
10 less than 16 is 6

Explanation :
1 more than 16 means the next number to its right as per hundred chart .
10 more than 16 means the number below 16 as per hundred chart .
1 less than 16 means before number to its left as per hundred chart .
10 less than 16 means the Number above 16 as per hundred chart .

Algebra Use a hundred chart to find each student’s number.

Question 9.
Alex’s number is 27. Kendra’s number is 1 less than Alex’s number. Devon’s number is 10 more than Kendra’s number. Finish the equations to find each friend’s number.

Answer:

Explanation :
Alex Number = 27
Kendra’s number is 1 less than Alex’s number = 27 -1 = 26
Devon’s number is 10 more than Kendra’s number =  26 + 10 = 36

Problem Solving

Solve the problems below.

Question 10.
Look for Patterns Use the clues to find the missing number of marbles in each bag. Write the number. Ben has more than 54 marbles.
Anna has 10 more marbles than Ben.
Todd has a number that is 1 less than the number Anna has.

Answer:
Ben has more than 54 marbles. so, take 55 marbles .
Number of Marbles with Anna =10 more marbles than Ben = 10 + 55 = 65 Marbles .
Number of Marbles with Todd = has a number that is 1 less than the number Anna has = 65 – 1 = 64 marbles

Question 11.
Higher Order Thinking Write a clue a partner could use to find how many marbles are in a bag. Then use the clue to tell how many marbles are in the bag.

Answer:

Number of marbles in the bag = 10 less than 60 = 60 – 10 = 50 .

Question 12.
Assessment Practice

Which are true? Choose two.
10 more than 23 is 32.
1 more than 23 is 24.
10 less than 23 is 13.
1 less than 23 is 20.
Answer:
Option
Explanation :
10 more than 23 = 10 + 23 = 33 Option 1 is wrong .
1 more than 23 = 1 + 23 = 24 . Option 2 is right .
10 less than 23 = 23 – 10 = 13 Option 3 is right .
1 less than 23 = 23 – 1 = 22 Option 4 is right .

Lesson 9.3 Compare Numbers

Solve & Share
How can place-value blocks help you decide which number is larger? Circle the number that is larger.

Answer :

73 > 37
Explanation :
First Compare the Tens of 7 tens and 3 tens . 7 > 3 . so, 73 is greater than 37 .

Visual Learning Bridge

Convince Me!
Which number is greater, 38 or 26? How do you know?
Answer :
38 > 26
Explanation :
First Compare the Tens of 3 tens and 2 tens . 3 > 2 . so, 38 is greater than 26 .

Guided Practice
Write a number to match each model. Then circle is greater than or is less than.

Question 1.

Answer:

Explanation :
First Compare the Tens of 7 tens and 5tens . 7 > 5 .
so, 78 is greater than 53 .

Question 2.

Answer:

Explanation :
First Compare the Tens, Both have 2 tens
Then compare the ones , 4 < 9 . so, 24 < 29 .
24 less than 29 .

Independent Practice

Write a number to match each model. Then circle is greater than or is less than.

Question 3.

Answer:

Explanation :
First Compare the Tens of 4 tens and 2tens . 4 > 2 .
so, 43 is greater than 27 .

Question 4.

Answer:

Explanation :
First Compare the Tens, Both have 2 tens
Then compare the ones , 8 ones and 2 ones 8 > 2 . so, 28 > 22 .
28 is Greater than 22 .

Question 5.

Answer:

Explanation :
First Compare the Tens, Both have 3 tens
Then compare the ones , 1 ones and 9 ones 1 < 9 . so, 31 < 39 .
31 is less than 39

Question 6.

Answer:

Explanation :
First Compare the Tens of 6 tens and 5 tens . 6 > 5 .
so, 60 is greater than 55 .

Question 7.

Answer:

Explanation :
First Compare the Tens, Both have 9 tens
Then compare the ones , 3 ones and 7 ones 3 < 7 . so, 93 < 97 .
93 is less than 97

Question 8.

Answer:

Explanation :
First Compare the Tens, of 2 tens and 7 tens . 2 > 7 .
so, 79 is greater than 22.

Question 9.
Number Sense Laura counts 36 stars. Andy counts 7 more stars than Laura. Write the number of stars Andy counted. Then complete the sentence.
___ stars
___ is less than ___.
Answer :
Number of stars Laura counted = 36 stars
Number of stars Andy counted = counts 7 more stars than Laura = 36 + 7 = 43 stars .
43 stars
36 is less than 43.

Problem Solving

Solve each problem below. Then complete each sentence.

Question 10.
Make Sense Ming sees 28 girls at the park. She sees 32 boys at the park. Does Ming see more girls or more boys?
She sees more ___
___ is less than
Answer:
Number of girls = 28 .
Number of boys = 32 .
She sees more boys
28 is less than 32 .

Question 11.

Make Sense Julio counts 81 pennies. He counts 76 dimes.
Does Julio count more pennies or more dimes?
He counts more ___
___ is greater than ___
Answer:
Number of pennies = 81
Number of Dimes = 76
he counts more Pennies
81 is greater than 76 .

Question 12.
Higher Order Thinking Choose
2 numbers between 40 and 99. Write a sentence that compares the numbers.
My numbers are ___ and ___

Answer:
My numbers are 60 and 55

Explanation :
First Compare the Tens of 6 tens and 5 tens . 6 > 5 .
so, 60 is greater than 55 .

Question 13.
Assessment Practice Ann has 46 shells. Ben has 43 shells.
Compare the numbers. Circle is greater than or is less than.

Answer:
Number of shells Ann have = 46
Number of shells Ben have = 43

Explanation :
First Compare the Tens, Both have 4 tens
Then compare the ones , 6 ones and 3 ones 6 > 3 . so, 46 > 43 .
46 is Greater than 43 .

Lesson 9.4 Compare Numbers with Symbols (>, <, =)

Solve & Share

Write a two-digit number inside the TV. Write a different two-digit number inside the radio. Then write the numbers and circle the words to complete the sentence below. Explain how you know.

Answer :

Visual Learning Bridge

Convince Me!
How do you know that 48 is greater than 40?
Answer :

Guided Practice
Complete each sentence. Write greater than, less than, or equal to. Then write >, <, or =.

Question 1.

Answer:

Explanation :
Notice the blocks of 28 and 41. compare the tens first .
41 have more tens than 28.
so, 28 < 41.

Question 2.

Answer:

Explanation :
Notice the blocks of 53 and 35. compare the tens first .
53 have more tens than 35.
so, 53 > 35.

Independent Practice

Complete each sentence. Write greater than, less than, or equal to. Then write >, <, or =.

Question 3.

Answer:

Explanation :
The Tens are same
The Ones are same .

Question 4.

Answer:

Explanation :
Notice the blocks of 62 and 37. compare the tens first .
62 have more tens than 37.
so, 62 > 37.

Question 5.

Answer:

Explanation :
Notice the blocks of 86 and 89. compare the ones when they have same tens .
86 have less ones than 89.
so, 86 < 89 .

Question 6.
34 43
Answer:

Explanation :
Notice the blocks of 34 and 43. compare the tens first .
43 have more tens than 34.
so, 34 < 43.

Question 7.
95 90
Answer:

Explanation :
Notice the blocks of 95 and 90. compare the ones when they have same tens .
90 have no ones than 95.
so, 95 > 90 .

Question 8.
74 74
Answer:

Explanation :
The Tens are same
The Ones are same .

Higher Order Thinking Choose 2 number cards for each problem. Compare the numbers. Write >, <, or = in the circle. Use each number card one time.

Question 9.

Answer:

Explanation :
The Tens are same
The Ones are same .

Question 10.

Answer:

Explanation :
Notice the blocks of 99 and 72. compare the tens first .
99 have more tens than 72.
so, 99 > 72.

Question 11.

Answer:

Explanation :
Notice the blocks of 42 and 56. compare the tens first .
42 have less tens than 56.
so, 42 < 56.

Problem Solving
Solve each problem below.

Question 12.
Be Precise Mary has 21 red ribbons. She has 12 yellow ribbons. Does Mary have more red ribbons or yellow ribbons? Write >, <, or = to compare the numbers.
21 12
She has more ___ ribbons.
Answer:
Number of Red Ribbons  = 21
Number of Yellow Ribbons = 12
21 > 12 .
She has more Red Ribbons .
Explanation :
Compare the tens first .
21 have more tens than 12.
so, 21 > 12.

Question 13.
Vocabulary Write a sentence using greater than (>).

Answer:
75   > 74
Explanation :
Notice 75 and 74.
Compare the Ones when we have same tens .
75 have more ones than 74.
so, 75 > 74.

Question 14.
Higher Order Thinking Write a story that compares 2 numbers. Then complete the sentence to compare the numbers.

Answer:

Explanation :
Number of pink balls = 20
Number of blue balls = 25 .
20 < 25 .
She has more blue balls .

Question 15.
Assessment Practice Jake has 92 stickers. Brian has 97 stickers.
Which sentences show the correct way to compare Jake’s stickers and Brian’s stickers? Choose two that apply.
92 = 97
97 > 92
92 > 97
92 < 97
Answer:
Number of stickers Jake have = 92
Number of stickers Brian have = 97 .
92 is less than 97
97 is greater than 92 .

Lesson 9.5 Compare Numbers on a Number Line

Solve & Share

Nick skipped rope 24 times. Look at the number line below. Find a number that is greater than 24 and a number that is less than 24. Show your numbers on the number line and explain how you know.

____ is greater than 24.
____ is less than 24.
Answer :

25, 26, 27, 28, 29 and so on are greater than 24.
23, 22, 21 and so on are lesser than 24.
Explanation :
The numbers to the right of 24 on a number line are greater than 24 .
The numbers to the left of 24 on a number line are lesser than 24 .

Visual Learning Bridge

Convince Me!
Using a number line, how do you know if 70 is greater than or less than 53?

Explanation :
53 is left of 70 on a number line so, 70 is greater than 53 .

Guided Practice

Write a number to make each correct. Use the number line to help if needed.

Question 1.
31 < 32
Answer:

Explanation :
The numbers to the left of 32 on a number line are lesser than 32 .
31 is left of 32 .
so, 31 < 32 .

Question 2.
40 > ___
Answer:

Explanation :
Any number to the left of 40 on a number line is lesser than 40 .
38 is left of 40 so, 40 > 38 .

Question 3.
35 > __
Answer:

Explanation :
Any number to the left of 35 on a number line is lesser than 35 .
30 is left of 35 so, 35 > 30 .

Question 4.
___ < 37
Answer:

Explanation :
The numbers to the left of 37 on a number line are lesser than 37.
31 is left of 37 .
so, 31 < 37 .

Question 5.
___ < 40
Answer:

Explanation :
The numbers to the left of 40 on a number line are lesser than 40 .
38 is left of 40 .
so, 38 < 40 .

Question 6.
50 > __
Answer:

Explanation :
Any number to the left of 50 on a number line is lesser than 40 .
40 is left of 50 so, 40 < 50 .

Independent Practice
Write the number or symbol > or < to make each correct. Draw a number line to help if needed.

Question 7.
___ < 26
Answer:
22 < 26 .

Explanation :
Any number to the left of 26 on a number line is lesser than 26 .
22 is left of 26 so, 22 < 26 .

Question 8.
75 > __
Answer:
75 > 70 .
Explanation :
Any number to the left of 75 on a number line is lesser than 75 .
70 is left of 75 so, 75 > 70 .

Question 9.
33 > ___
Answer:
33 > 30
Explanation :
Any number to the left of 33 on a number line is lesser than 33 .
30 is left of 33 so, 33 > 30 .

Question 10.
___ < 95
Answer:
80 < 95
Explanation :
Any number to the Left of 95 on a number line is lesser than 95 .
80 is left of 95 so, 80 < 95 .

Question 11.
__ > 50
Answer:
52 > 50
Explanation :
Any number to the Right of 50 on a number line is Greater than 50 .
52 is Right of 50 so, 52 > 50 .

Question 12.
90 < ___
Answer:
90 < 100
Explanation :
Any number to the Right of 90 on a number line is Greater than 90 .
100 is Right of 90 so, 90 < 100 .

Question 13.
39 48
Answer:
39 < 48
39 is less than 48
Explanation :
Check the numbers.
Compare the tens First .
in 39 we have 3 tens
in 48 we have 4 tens.
48 have more tens than 39
so, 39 is lesser than 48 .

Question 14.
47 35
Answer:
47 > 35 .
Explanation :
Check the numbers.
Compare the tens First .
in 47 we have 4 tens
in 35 we have 3 tens.
47 have more tens than 35
so, 47 is greater than 35 .

Question 15.
29 72
Answer:
29 < 72 .
Explanation :
Check the numbers.
Compare the tens First .
in 29 we have 2 tens
in 72 we have 7 tens.
72 have more tens than 29
so, 29 is lesser than 72 .

Higher Order Thinking Write numbers to make each correct. Place the numbers on the number lines.

Question 16.

Answer:

Explanation :
Numbers to the left of 70 are lesser than numbers .
Number to the Right of 70 are greater numbers .

Question 17.

Answer:

Explanation :
Numbers to the left of 64 are lesser than numbers .
Number to the Right of 64 are greater numbers .

Problem Solving

Solve each problem below. Solving Model You can use a number line to help you.

Question 18.
3 friends wrote a number on paper. Paul wrote a number that is greater than Nicole’s number and less than Tina’s number. Nicole’s number is 42. Tina’s number is 44.
What is Paul’s number? __
Answer:
Tina’s Number = 44
Nicole’s Number = 42 .
Paul’s Number = number that is greater than Nicole’s number and less than Tina’s number = 42 < 43 < 44.
Therefore, Paul’s Number = 43 .

Question 19.
enVision® STEM Jay covers some windows with cardboard to block the sunlight from shining through. The number of windows he covers is less than 28 and more than 26. How many windows does Jay cover?
___ windows
Answer:
Number of Windows Covered = Less than 28 and more than 26. = 28 > 27 > 26 .
Therefore, Number of Windows Covered = 27 Windows .

Question 20.
Higher Order Thinking How can you find a number that is greater than 90? Explain.

Answer:

Numbers greater than 90 are on the Right side of the number line of number 90 .
90 < 91< 92< 93< 94 < 95 < 96  are numbers greater than 90 .

Question 21.
Assessment Practice The number on Taylor’s mailbox is less than (<) 70. Which numbers could be on Taylor’s mailbox? Choose two.

60
69
70
71
Answer :
The number on Taylor’s mailbox is less than (<) 70 are 60 and 69 .

Lesson 9.6 Make Sense and Persevere

I am thinking of a secret number. The number is greater than 20 and less than 30. The number is inside a shape with 4 sides. What is the secret number ? What strategy did you use to find it?

The secret number is ____.
Answer :
The secret number is 27 .
Explanation :
The numbers which are greater than 20 and less than 30 as per above figure .
22 , 25 , and 27 .
22 is written in a Triangle with three sides.
25 is written in a circle with no sides.
27 is written in a Rhombus with 4 sides .
in 4 sides we have 27.
so, the secret number = 27 .

Thinking Habits
What am I asked to find? What is a good plan for solving this problem?

Visual Learning Bridge

Convince Me!
How does making a list help you make sense of a problem?
Answer :
Making a list will help you understand the problem clearly with step by step and helps to know the answer clearly without any confusions .

Guided Practice
Use the numbers above to solve each riddle. Write the secret number. Explain your work.

Question 1.
I am a green number. I am greater than 45 and less than 60. Which number am I?
57
Answer :
Green Numbers : 22, 45 and 57 .
Number greater than 45 and less than 60 is 57.
I am number 57 .

Question 2.
I am a blue number. You say my name when you count by 10s. Which number am I?
___
Answer:
Blue Number  :  50, 24, 41.
Count by tens means it is 10 multiple .
so, the number is 50 .

Independent Practice

Make sense of each riddle to find the secret number. Show and explain your work.

Question 3.
The number of pages in my book is less than 96 and greater than 90.
Who could I be?
I have 3 letters in my name. Who am I?
___ ___
Answer:
Jay
Explanation :
Books with pages less than 96 and greater than 90 are
Carla – 92 pages
Jay – 95 pages
I have 3 letters in my name. that is Jay .

Question 4.
The number of pages in my book is greater than 92.
Who could I be?
__ ___ ___
I have the greatest number of pages. Who am I?
___
Answer:
my book is greater than 92.
Carla – 92 pages
Molly – 95 pages
Lisa – 96 pages 
Peg – 98 Pages .
Greatest number of pages  – peg have 98 that is greatest number of pages .

Question 5.

The number of pages in my book is less than 65.
Who could I be?
__ __ ___
I have 10 more than 54 pages. Who am I?
___
Answer:
The number of pages in my book is less than 65 are :
Greg – 55 pages
Yao- 96 pages 
Katie – 98 Pages .
I could be – Greg – 55 pages .
I have 10 more than 54 pages = 54 + 10 = 64 pages – Katie .

Problem Solving

Performance Task

Missing Numbers Akayla has to find a secret number missing from the chart. She gets some clues to help her.

Akayla’s Clues:
– The secret number is greater than 75.
– The number does NOT have an 8 in the ones place.
What is the secret number?

Question 6.
Make Sense What is your plan for solving this problem? Explain.

Answer:
Greater than 75 .
Missing Numbers – 78, 83 and 88 .
which doesn’t have 8 in ones place = 83 as 78 and 88 have 8 in one’s place .
Therefore, The missing number is 83 .
Explanation :
Write the missing numbers for given Condition one by one and sort them .

Question 7.
Explain What is the secret number? How do you know your answer is correct?
Secret number: ___
Answer:
The Secret number is 83 .
As per the conditions given the secret number satisfices them .

Topic 9 Fluency Practice Activity

Find a Match

Find a partner. Point to a clue. Read the clue. Look below the clues to find a match. Write the clue letter in the box next to the match. Find a match for every clue.

Clues
A 6+ 2
B 5 + 5
C 9 – 3
D 5 – 1
E 8 – 6
F 5 + 4
G 7 – 2
H 1 + 2

10 – 0
2 + 2
10 – 1
9 – 7
2 + 3
7 – 4
4 + 4
3 + 3
Answer :

Explanation :
A= 6+ 2= 4+4 =8
B= 5 + 5=10- 0 =10
C= 9 – 3= 3 +3 = 6
D=5 – 1=2 + 2 =4
E= 8 – 6=9 – 7 = 2
F =5 + 4=10 – 1= 9
G= 7 – 2=2 + 3 =5
H= 1 + 2=7 – 4 = 3

Topic 9 Vocabulary Review

Understand Vocabulary

Question 1.
Compare the numbers. Circle the number that is more.
26 29
Answer:

Explanation :
Check the numbers
Compare Ones when they have same Tens .
we have more ones in 29 than 26 .
So, 29 is more than 26 .

Question 2.
Compare the numbers. Circle the number that is less.
58 68
Answer:

Explanation :
Check the numbers
Compare Tens they have5 tens in 58 and 6 tens in 68 .
we have more tens in 68 than 58 .
So, 68 is more than 58 .

Question 3.
Choose a term from the Word List. Fill in the blank to make it true.

Answer:

Use Vocabulary in Writing

Question 4.
Write a problem using the terms from the Word List. Use place-value blocks to help solve your problem.

Answer:

Topic 9 Reteaching

Set A

You can use blocks to show 1 more, 1 less, 10 more, and 10 less than a number.

Use blocks. Write the numbers to complete each sentence.

Question 1.

1 more than 87 is ___
1 less than 87 is ___
10 more than 87 is ___
10 less than 87 is ___
Answer:

1 more than 87 is 88
1 less than 87 is 86
10 more than 87 is 97
10 less than 87 is 77

Set B

You can use a hundred chart to find the number that is I more than, I less than, 10 more than, and 10 less than.

Write the number that is I more, I less, 10 more, or 10 less. You can use a hundred chart to help you.

Question 2.
1 less than 37
___, 37
Answer :
1 less than 37 is 36 .
36, 37
Explanation :
10 more than 37 means the number below 37 as per hundred chart .

Question 3.
1 more than 37
37, ___
Answer:
1 more than 37 is 38
37, 38
Explanation :
1 more than 37 means the next number to its right as per hundred chart .

Question 4.
10 less than 55
__, 55
Answer:
10 less than 55 is 45 .
45, 55
Explanation :
10 less than 55 means the Number above 45 as per hundred chart .

Question 5.
10 more than 55
55, ___
Answer:
10 more than 55 is 65 .
55, 65 .
Explanation :
10 more than 55 means the number below 65 as per hundred chart .

Set C

You can compare numbers using >, <, or =
> means greater than. 33 is greater than 24.

< means less than. 24 is less than 33.

Answer:

Write greater than, less than, or equal to. Then write >, <, or =

Question 6.
46 is ____ 26.
46 26
Answer :
46 is greater than 26.
46 > 26
Explanation :
Check the numbers .
Compare the tens place vales first
we have more tens in 46 than 26 .
so, 46 > 26 .

Question 7.
25 is ___ 52.
24 33
Answer:
25 is less than  52.
24 < 33
Explanation :
check the numbers .
Compare the tens place vales first
we have more tens in 33 than 24 .
so, 24 < 33 .

Set D

Thinking Habits
Make Sense and Persevere

What am I asked to find?
What is a good plan for solving this problem?
How can I check that my solution makes sense?

Look at the numbers below. Find the secret number.

Question 8.
I am a number greater than 65. What numbers could I be? ___
Answer:
Numbers below 65 are 42, 7, 13, 63 and 50 .
Therefore numbers could be 42, 7, 13, 63 and 50 .

Question 9.
I am 10 less than 83. What number am I? __
Answer:
10 less than 83 = 83 – 10 = 73 .
i am 73 .

Topic 9 Assessment Practice

Question 1.
Trina’s house number is 54. Frank’s house number is greater than Trina’s house number. Which is Frank’s house number? How do you know?
A. 52; because 52 > 50
B. 53; because 53 < 54
C. 54; because 54 > 50
D. 55; because 55 > 54

Answer:

D. 55; because 55 > 54
Numbers Right of 54 of a number line are the greater numbers .
Explanation :
House Number of Trina’s = 54 .
House Number of Frank’s = greater than 54 that means more than 54
As per options Only Option D is having house number as 55 which is greater than 54 .

Question 2.
Choose two ways to compare the place-value blocks. Explain.

82 < 87; 82 has fewer ones than 87.
87 = 82; 87 and 82 have the same number of tens.
87 < 82; 82 has more ones than 87.
87 > 82; 87 has more ones than 82.
82 > 87; 82 has more ones than 87.
Answer:

Question 3.
Find 10 more than 37 without having to count. Explain how you know.
A. 36; 36 has one fewer one than 37.
B. 47; 47 has one more ten than 37.
C. 38; 38 has one more one than 37.
D. 27; 27 has one fewer ten than 37.
Answer:
Option B. 47; 47 has one more ten than 37.
Explanation :
10 more than 37 means add 1 to the tens place of value 37 that gives 10 more than 37 = 47 .

Question 4.
Use the clues to find the secret number from the choices on the right.

I am less than 48. What numbers could I be? ___
I have a 0 in the ones place. What number am I? __
Answer:
I am less than 48 means 42 , 37 and 40 .
I have a 0 in the ones place is 40 as 42 and 37 have 2 and 7 in ones place .
The Number is 40 .

Question 5.
Write the number to complete the part of the hundred chart. Explain how you know.

Answer:

Explanation :
1 more than 43 means the next number to its right as per hundred chart .
10 more than 43 means the number below 43 as per hundred chart .
1 less than 43 means before number to its left as per hundred chart .
10 less than 43 means the Number above 43 as per hundred chart .

Question 6.
What number is 10 more than 74?
What number is 10 less than 74?
10 more than 74 is ___
10 less than 74 is ___
Answer:
10 more than 74 is 84
10 less than 74 is 64
Explanation :
10 more than 74 means add 1tens to the tens place of value of 74 that gives 84 .
10 less than 74 means subtract 1 tens from the tens place value of 74 that gives 64 .

Question 7.
Look at the place-value blocks. Write the numbers to make the sentences true. Explain how you know which number is greater.

___ is greater than ___.
___ is less than ___.
Answer:

27 is greater than 22 .
22 is less than 27 .
Explanation :
Check the numbers 27 and 22.
Compare the ones value if both have same tens .
27 have more ones than 22 .
so, 27 is greater than 22
22 is less than 27 .

Topic 9 Performance Task

Mailbox Mysteries
Meg sees these mailboxes in her neighborhood. Each mailbox has a different number.

Question 1.
Write the mailbox number for each clue. You can use the hundred chart to help you.

1 more than 59 __
1 less than 26 ___
10 more than 7 ___
10 less than 83 ___
Answer:
1 more than 59 is 60
1 less than 26 is 25
10 more than 7 is 17
10 less than 83 is 73

Question 2.
Use these clues to figure out each student’s mailbox number.
Show your work on the hundred chart.

Answer :
Bill’s Number = 34
Sue’s Number = 1 more than Bill’s Number = 34 + 1 = 35
Larry’s Number = 10 less than Sue’s Number = 35 – 10 = 25 .

Question 3.
Fill in the missing numbers. You can use the number lines to help you.
Write a mailbox number that is greater than 50.

Write a mailbox number that is less than 30.

Answer:

Question 4.
Meg describes her mailbox number.
She uses these clues.
What is her mailbox number? ___
Explain how you know.

Clues

• The number is greater than 40.
• The number is NOT on a red mailbox.
• The number has more ones than tens.

Answer:

• The numbers greater than 40 are :
  60 – Green Mail box
  58 – Red Mail Box .
  89 – Blue Mail Box .
  73 – Red Mail Box  .
• The number is NOT on a red mailbox :
  60 – Green Mail box
  89 – Blue Mail Box .
• The number has more ones than tens.
  89 – Blue Mail Box .
  ones are 9
  Tens are 8
  ones are more than tens .
  Therefore, The Mail Box number is 89/