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## enVision Math Common Core 2nd Grade Answers Key Topic 12 Measuring Length

**Essential Question:**

What are ways to measure length?

**enVision STEM Project: Growing and Measuring**

Find Out Grow bean plants. Give them numbers. Put some in sunlight. Put some in a dark place. Water some of the plants. Do not water some of the plants. See how the plants in each group grow.

Journal: Make a Book Show what you learn in a book. In your book, also:

- Tell if plants need sunlight and water to grow.
- Find plants to measure. Draw pictures of the plants. Tell how tall each plant is.

**Review What You Know**

**Vocabulary**

Question 1.

Draw a line under the bat to show its length.

Answer:

Question 2.

School is getting out. Circle a.m. or p.m.

Answer:

4 pm.

Explanation:

The time shown on the clock is 4 pm.

Question 3.

Draw clock hands to show quarter past 10.

Answer:

10:25.

Explanation:

The clock shows 10:25.

**Estimating and Measuring Length**

Question 4.

Use snap cubes.

Estimate the length.

about ________ cubes

Measure the length.

about ________ cubes

Answer:

The estimated length is about 2 cubes.

The measuring length is about 2 cubes.

Explanation:

The estimated length of the above image is two cubes and the length of the measurement is two cubes.

Question 5.

Use snap cubes.

Estimate the length.

about ________ cubes

Measure the length.

about ________ cubes

Answer:

The estimated length is about 3 cubes.

The measuring length is about 3 cubes.

Explanation:

The estimated length of the above image is three cubes and the length of the measurement is three cubes.

**Skip Counting**

Question 6.

Write the missing numbers.

5, 10, _____, 20, _____

210, 220, _____, 240

400, ____, 600, 700

Answer:

5, 10, 15, 20, 25.

210, 220, 230, 240.

400, 500, 600, 700.

Explanation:

The difference between the first number and the second number is 10 – 5 which is 5, so the missing numbers are 15,25.

5, 10, 15, 20, 25.

The difference between the second number and the first number is 220 – 210 which is 10, so the missing number is 230.

210, 220, 230, 240.

The difference between the last number and the last before the number is 700 – 600 which is 100, so the missing numbers are 400, 500, 600, 700.

**Pick a Project**

PROJECT 12A

How are measurements used to design clothing?

Project: Measure Feet and Create Sock Designs

Answer:

Here, we will place a tape measure on the floor and we will take a position back of the heel at the zero marks on the tape. Then we will measure to the longest toe. And with the foot circumstances, we will make sure the sock wearer’s foot is placed on the ground. So we can get an accurate measurement.

PROJECT 12B

What units should you use to measure longer distances?

Project: Compare the Measurements of Sports Fields

Answer:

We will use kilometers to measure the longer distances.

PROJECT 12C

What can help you remember different measurement facts?

Project: Create a Booklet of Measurement Rhymes

PROJECT 12D

How long or how tall are some animals and insects?

Project: Make a Poster of Snake Lengths

### Lesson 12.1 Estimating Length

**Solve & Share**

Your thumb is about 1 inch long. Use your thumb to find three objects that are each about 1 inch long. Draw the objects. From your elbow to your fingers is about I foot long. Use this part of your arm to find three objects that are each about I foot long. Draw the objects.

I can … estimate the length of an object by relating the length of the object to a measurement I know.

Answer:

Visual Learning Bridge

Convince Me! Is your height closer to 4 feet or 4 yards? How do you know?

Answer:

Yes, my height is closer to 4 feet or 4 yards.

Explanation:

Given that some objects and their estimated lengths. So, here we have 3 + 3 + 3 + 3 which is 12 feet. As 1 yard is 3 feet, so 12 feet is 4 yards. So my height is closer to 4 feet or 4 yards.

**Guided Practice**

Write the name and length of an object whose length you know. Then use that object to help you estimate the length of the object shown.

Answer:

Pencil is 6 inch long.

Book is 1 foot long.

Desk is 2 feet long.

Explanation:

The pencil is about 6 inch long and my book is 1 foot long and my desk is about 2 feet long.

**Independent Practice**

Write the name and length of an object whose length you know. te Then use that object to help you estimate the length of the object shown.

Answer:

My thumb is 1 inch long.

My hand is about 6 inches long.

My book is 1 foot long.

My chair is about 3 feet high.

Explanation:

My thumb is 1 inch long.

My hand is about 6 inches long.

My book is 1 foot long.

My chair is about 3 feet high.

Question 5.

Higher Order Thinking Would you estimate the distance from your classroom to the principal’s office in inches, feet, or yards? How many units? Explain.

Answer:

Given that the estimated distance from your classroom to the principal’s office is a gaint step is about a yard. So we would use yards because it covers more length at one time.

**Problem Solving**

Solve each problem.

Question 6.

**Vocabulary** Complete each sentence using one of the words below.

exact

estimated

inch

yard

An ___________ measurement is a good guess.

The height of a kitchen window is about 1 ________.

A small paper clip is about 1 _______ long.

Answer:

An estimated measurement is a good guess.

The height of a kitchen window is about 1 yard.

A small paper clip is about 1 inch long.

Question 7.

**Reasoning** Joy and Kyle estimate the height of their classroom. Joy estimates the height to be 10 feet. Kyle estimates the height to be 10 yards. Who has the better estimate? Explain.

Answer:

Given that Joy and Kyle estimate the height of their classroom and Joy estimates the height to be 10 feet and Kyle estimates the height to be 10 yards. So Joy has the better estimation as we know that 1 yard is 3 feet and 10 yards is 30 feet which is big.

Question 8.

**Higher Order Thinking** A city wants to build a bridge over a river. Should they plan out an exact length of the bridge, or is an estimated length good enough? Explain.

Answer:

Here, we need an exact length because then cars or people would tall so if it was too short

Question 9.

**Assessment Practice** Draw a line from each estimate to a matching object.

Answer:

The book is about 1 foot and the stamp is about 1 inch and the umbrella is about 1 yard.

Explanation:

In the above image, we can see that the book is about 1 foot and the stamp is about 1 inch and the umbrella is about 1 yard.

### Lesson 12.2 Measure with Inches

**Solve & Share**

The orange square is I inch long. How can you use I inch squares to find the length of the line in inches? Measure the line and explain.

I can … estimate measures and use a ruler to measure length and height to the nearest inch.

The line is about _____ inches long.

Answer:

The line is about 5 inches long.

Visual Learning Bridge

Convince Me! Use a ruler to measure. What classroom objects are about 12 inches long?

Answer:

The classroom objects which are about 12 inches long is books, plates, sink, Chromebook and tissue box.

**Guided Practice**

Estimate the height or length of each real object. Then use a ruler to measure to the nearest inch.

Question 1.

Question 2.

Answer:

The estimated length of the pencil case is about 8 inches and the measured value is about 7 inches.

**Independent Practice**

Estimate the height or length of each real object. Then use a ruler to measure. Compare your estimate and measurement.

Question 3.

Answer:

The estimated width of the bag is about 6 inches and the measured value is about 12 inches.

Question 4.

Answer:

The estimated length of the paintbrush is about 5 inches and the measured value is about 8 inches.

Question 5.

Answer:

The estimated height of a cup is about 4 inches and the measured value is about 6 inches.

Question 6.

Answer:

The estimated length of a crayon box is about 4 inches and the measured value is about 5 inches.

**Higher Order Thinking** Think about how to use a ruler to solve each problem.

Question 7.

Jason measures an object. The object is just shorter than the halfway mark between 8 and 9 on his inch ruler. How long is the object?

about _______ inches

Answer:

The length of the object is about 8 inches.

Explanation:

Given that Jason measures an object and the object is just shorter than the halfway mark between 8 and 9 on his inch ruler, so the length of the object is about 8 inches.

Question 8.

Gina measures an object. The object is just longer than the halfway mark between 9 and 10 on her inch ruler. How long is the object?

about _______ inches

Answer:

The length of the object is about 10 inches.

Explanation:

Given that Gina measures an object and the object is just longer than the halfway mark between 9 and 10 on her inch ruler. So the length of the object is about 10 inches.

**Problem Solving**

Solve each problem.

Question 9.

Explain Pam says that each cherry is about 1 inch wide. Is she correct? Explain.

Answer:

Yes, she is correct.

Explanation:

As Pam says that each cherry is about 1 inch wide, yes she is correct. Because it is longer than the halfway mark.

Question 10.

**Vocabulary** Find an object in the classroom that measures about 6 inches. Write a sentence to describe the object. Use these words.

estimate

inches

Answer:

Estimated: 8 inches.

Actual: 10 inches.

Explanation:

The estimated length of the chrome book is about 8 inches and its actual length of the chrome book is about 10 inches.

Question 11.

**Higher Order Thinking** Explain how to use an inch ruler to measure the length of an object.

Answer:

I would hold up the ruler next to the object to measure.

Question 12.

**Assessment Practice** Use a ruler. About how many inches long are the two stamps together?

A. 4 inches

B. 3 inches

C. 2 inches

D. 1 inch

Answer:

2 inches.

Explanation:

The length of the two stamps together is 2 inches.

### Lesson 12.3 Inches, Feet, and Yards

**Solve & Share**

Which objects in the classroom are about 1 inch, about I foot, and about 1 yard long? Show these objects below.

I can … estimate measures and use tools to measure the length and height of objects to the nearest inch, foot, and yard.

about 1 inch

about 1 foot

about 1 yard

Visual Learning Bridge

Convince Me! Would you measure the length of a school building in inches or yards? Why?

Answer:

Yards.

Explanation:

The length of the school building is measured in yards because they are large units.

**Guided Practice**

Match each object with a reasonable estimate of its length.

Answer:

**Independent Practice**

Estimate the length of each real object. Choose a ruler, yardstick, or measuring tape to measure. Write the tool you used.

Question 4.

Answer:

3 feet.

Explanation:

The length of the pencil is about 3 feet.

Question 5.

Answer:

6 feet.

Explanation:

The length of the table is about 6 feet.

Question 6.

Answer:

11 feet.

Explanation:

The length of the door is about 11 feet.

Question 7.

**Higher Order Thinking** Explain how you could use a foot ruler to measure the length of a room in feet.

Answer:

We will start at one end and then we will make a mark for one foot. Then we will move the ruler to the mark and measure a second foot then we will keep going to the end of the room.

**Problem Solving**

Solve each problem.

Question 8.

Generalize Circle the real object that is about 4 feet in length.

Answer:

The real object that is about 4 feet in length is a cycle.

Question 9.

**Number Sense** Explain how to use a yardstick to measure the length of an object. Estimate the length of your classroom in yards. Then measure.

Answer:

A yardstick is used to measure larger objects. A yardstick also has inches on it.

Question 10.

**Higher Order Thinking** Find an object in the classroom that you estimate measures about 2 feet. Draw the object.

What tool would you use to measure it? Explain why you chose the tool you did.

Answer:

Bookshelves.

Explanation:

The object in the classroom is bookshelves and I would use a book to measure because they are 1 foot.

Question 11.

**Assessment Practice** Jon sets two of the same real objects next to each other. Together, they have a length of about 4 feet. Which is the object Jon uses?

Answer:

Table.

Explanation:

In the above objects which are about 4 feet is table.

### Lesson 12.4 Measure Length Using Different Customary Units

**Solve & Share**

Choose an object. Measure your object in feet. Then measure it in inches. Do you need more units of feet or inches to measure your object? Why?

I can … estimate and measure the length and height of objects in inches, feet, and yards.

about ______ feet long

about ________ inches long

Answer:

about 1 foot long,

about 12 inches long.

Explanation:

Here, my laptop is about 1 foot long and it is about 12 inches long. I need more units of inches because it took 12 of them.

Visual Learning Bridge

Convince Me! Juan measures the height of a wall in his room. He lines the wall with one-foot rulers. He could find this height with yardsticks. Would Juan need more rulers or yardsticks? Explain.

**Guided Practice**

Measure each real object using different units. Circle the unit you use more of to measure each object.

Question 1.

about ______ feet

about _______ yards

I use more units of:

feet

yards

Answer:

about 3 feet.

about 1 yard.

Explanation:

The measurement of the object in the above image is about 3 feet and about 1 yard.

Question 2.

about ______ feet

about ______ inches

I use more units of:

inches

feet

Answer:

about 3 feet.

about 36 inches.

Explanation:

The measurement of the object in the above image is about 3 feet and about 36 inches.

**Independent Practice**

Measure each real object using different units. Circle the unit you use fewer of to measure each object.

Question 3.

about _______ inches

about _______ feet

I use fewer units of:

inches

feet

Answer:

about 3 feet.

about 36 inches.

Explanation:

The measurement of the object in the above image is about 3 feet and about 36 inches.

Question 4.

about _______ feet

about _______ yards

about

I use fewer units of:

feet

yards

Answer:

about 6 feet.

about 2 yards.

Explanation:

The measurement of the object in the above image is about 6 feet and about 2 yards.

Question 5.

about _______ feet

about _______ yards

I use fewer units of:

feet

yards

Answer:

about 3 feet.

about 1 yard.

Explanation:

The measurement of the object in the above image is about 3 feet and about 1 yard.

**Number Sense** Circle the best estimate for the length of each object.

Question 6.

About how long is a key?

2 inches

2 feet

2 yards

Which tool would you use to measure the length of a key?

Answer:

Ruler.

And the length is 2 inches.

Explanation:

The tool would we use to measure the length of a key is a Ruler and the length of a key is 2 inches.

Question 7.

About how long is a suitcase?

2 inches

2 feet

2 yards

Which tool would you use to measure the length of a suitcase?

Answer:

Ruler.

And the length is 2 feet.

Explanation:

The tool would we use to measure the length of a suitcase is a Ruler and the length of a key is 2 feet

**Problem Solving**

Solve each problem.

Question 8.

Use Tools Measure the length of an object in your classroom using two different units.

Object: ___________

about ________ about _________

Which unit did you use more of?

Circle which tool you used.

ruler

yardstick

measuring tape

Answer:

Question 9.

**Higher Order Thinking** Andrew wants to measure the length of a football field. Should he use feet or yards to measure it? Which tool should he use? Explain.

Answer:

Andrew uses yards.

Explanation:

Here, Andrew wants to measure the length of a football field, so he uses yards to measure. Because the football field is very long. So he uses yards.

Question 10.

**Assessment Practice** Which unit would you need the fewest of to measure the length of the table?

A. inches

B. feet

C. yards

D. all the same

Answer:

The table is measured in yards.

Explanation:

The fewest of to measure the length of the table is yards, as the length of the table will be one yard.

Question 11.

**Assessment Practice** Which is the best estimate for the length of a vegetable garden?

A. about 5 inches

B. about I foot

C. about 5 yards

D. about 20 inches

Answer:

About 5 yards.

Explanation:

The best estimate for the length of a vegetable garden is about 5 yards.

### Lesson 12.5 Measure with Centimeters

**Solve & Share
**The green cube is I centimeter long. How can you use I centimeter cubes to find the length of the line in centimeters? Measure the line and explain.

I can … estimate measures and use a ruler to measure length and height to the nearest centimeter.

The line is about _______ centimeters long.

Answer:

The line is about 7 centimeters long.

Explanation:

The line is about 7centimeters long.

Visual Learning Bridge

Convince Mel Explain how you know the length of the paper clip above is about 3 centimeters long.

Answer:

We can see where it is measured on the ruler.

**Guided Practice**

Estimate the height or length of each real object. Use a ruler to measure to the nearest centimeter.

Question 1.

Answer:

The estimated length is 15 centimeters and the actual measure is 18 centimeters.

Explanation:

The estimated length of the stapler is about 15 centimeters and the actual measurement is 18 centimeters.

Question 2.

Answer:

The estimated length is 22 centimeters and the actual measure is 25 centimeters.

Explanation:

The estimated length of the stapler is about 22 centimeters and the actual measurement is 25 centimeters.

**Independent Practice**

Estimate the width, height, or length of each real object. Then use a ruler to measure. Compare your estimate and measurement.

Question 3.

width of a shoelace

Answer:

The estimated width is 3 centimeters and the actual measure is 2 centimeters.

Explanation:

The estimated width of the shoelace is about 3 centimeters and the actual measurement is 2 centimeters.

Question 4.

width of a chair

Answer:

The estimated width is 25 centimeters and the actual measure is 35 centimeters.

Explanation:

The estimated width of the shoelace is about 25 centimeters and the actual measurement is 35 centimeters.

Question 5.

length of a pencil

Answer:

The estimated length is 15 centimeters and the actual measure is 12 centimeters.

Explanation:

The estimated length of a pencil is about 15 centimeters and the actual measurement is 12 centimeters.

Question 6.

height of scissors

Answer:

The estimated height is 10 centimeters and the actual measure is 13 centimeters.

Explanation:

The estimated height of the scissors is about 10 centimeters and the actual measurement is 13 centimeters.

**Higher Order Thinking** Explain whether each estimate is reasonable or not.

Question 7.

Josh estimated that the length of his reading book is about 6 centimeters.

Answer:

No, Josh estimated length is not correct.

Explanation:

No, Josh estimated length is not correct. Because 6 centimeters is too small.

Question 8.

Shae estimated that the height of her desk is about 10 centimeters.

Answer:

No, Shae estimated height is not correct.

Explanation:

No, Josh estimated height is not correct. Because 10 centimeters is too small.

**Problem Solving**

Solve each problem.

Question 9.

**Vocabulary** Find an object that is about 10 centimeters long. Write a sentence to describe your object using these words.

centimeters

estimate

Answer:

Here, we have taken the eraser as an object which is about 10 centimeters long. The estimated length of the eraser is about 12 centimeters.

Question 10.

Look for Patterns Nick wants to put another pen end to end with this one. About how long would the two pens be together?

about _________ centimeters

Answer:

14 centimeters.

Explanation:

The length of the two pens be together would be 7 + 7 which is 14 centimeters.

Question 11.

**Higher Order Thinking** Paul says that a toothbrush is about 19 centimeters long. Sarah says it is about 50 centimeters long. Who is correct? Explain.

Answer:

Paul is correct.

Explanation:

Paul is correct, we know that by measuring. So Sarah is wrong.

Question 12.

**Assessment Practice** Mary measures the length of her eraser to the nearest centimeter. What is the length of her eraser to the nearest centimeter?

__________ centimeters

Answer:

4 centimeters.

Explanation:

The length of her eraser to the nearest centimeter is centimeters.

### Lesson 12.6 Centimeters and Meters

**Solve & Share**

Which objects in the classroom are about 3 centimeters long? Which objects are about I meter long?

Show these objects below.

I can … estimate measures and use a ruler, a meter stick, or a tape measure to measure length and height to the nearest centimeter or meter.

about 3 centimeters

about 1 meter

Answer:

Sharpener lid, pencil, and a marker cap.

Explanation:

The objects that are about 3 centimeters long are a sharpener lid, pencil, and a marker cap.

Visual Learning Bridge

Convince Me! Would you measure the length of a house in centimeters or meters? Why?

Answer:

Meters.

Explanation:

The length of the house is measured in meters because meters are a bigger unit of measurement.

**Guided Practice**

Match each object with a reasonable estimate of its length.

Answer:

**Independent Practice**

Estimate the length or height of each real object shown. Then choose a tool and measure. Compare your estimate and measurement.

Question 5.

Answer:

The estimated length is 5 cm and the measured value is 6 cm.

Explanation:

The estimated length of the above object is about 5 cm and the measured value is about 6 cm. We have used a ruler to measure the object.

Question 6.

Answer:

The estimated height is 1 m and the measured value is 1 m.

Explanation:

The estimated height of the above object is about 1 m and the measured value is about 1 m. We have used a meterstick to measure the object.

Question 7.

Answer:

The estimated length is 8 cm and the measured value is 12 cm.

Explanation:

The estimated length of the above object is about 8 cm and the measured value is about 12 cm. We have used a ruler to measure the object.

Question 8.

Answer:

The estimated height is 1 m and the measured value is 1 m.

Explanation:

The estimated height of the above object is about 1 m and the measured value is about 1 m. We have used a meterstick to measure the object.

Question 9.

Tom uses a meter stick to measure the length of a fence. He places the meter stick 5 times on the fence to measure from one end to the other end. How long is the fence?

________ meters

Answer:

5 meters.

Explanation:

Here, Tom uses a meter stick to measure the length of a fence and he places the meter stick 5 times on the fence to measure from one end to the other end, so the length of the fence is 5 meters.

Question 10.

**Higher Order Thinking** Debbie says that her doll is about 30 meters long. Do you think this is a good estimate? Why or why not?

Answer:

No, Debbie’s estimation is incorrect.

Explanation:

No, Debbie’s estimation is incorrect because it is too big.

**Problem Solving**

Solve each problem.

Question 11.

Be Precise Choose an object to measure. Use metric units. Estimate first and then measure.

Draw the object and write your estimate and measurement. Was your estimate reasonable?

Answer:

Question 12.

Circle the real object that would be about 2 meters long.

Answer:

Object 1 is about 2 meters longer than object 2.

Explanation:

Here, Object 1 is about 2 meters longer than object 2.

Question 13.

**Higher Order Thinking** Each side of a place-value cube is I centimeter long. Use a place-value cube to draw a 5-centimeter ruler.

Answer:

Here, we have placed I centimeter long 5 cubes.

Question 14.

**Assessment Practice** Choose an appropriate tool. Measure each line. Which lines are at least 6 centimeters long? Choose all that apply.

Answer:

Option A and Option B are at least 6 centimeters long.

### Lesson 12.7 Measure Length Using Different Metric Units

**Solve & Share**

Measure this pencil in inches. Then measure it again in centimeters. Which measurement has more units?

I can … measure the length and height of objects using different metric units.

about _________ inches

about _________ centimeters

Which has more units? ___________

Answer:

about 6 inches,

about 15 centimeters.

Centimeter has more units.

Explanation:

The length of the pencil in inches is about 6 inches and in centimeters, it is about 15 centimeters. So, here centimeter has more units.

Visual Learning Bridge

Convince Me! Tina measures the length of a room with centimeter rulers. She could find this length with meter sticks. Would Tina need fewer rulers or meter sticks? Explain.

Answer:

Here, centimeters are more because they are smaller.

**Guided Practice**

Measure each real object using different units. Circle the unit you use more of to measure each object.

Question 1.

about _________ centimeters

about _________ meters

I use more units of:

centimeters

meters

Answer:

about 200 centimeters,

about 2 meters.

Centimeters are more.

Explanation:

The above image is about 200 centimeters and about 2 meters. Here, centimeters are more.

Question 2.

about _________ centimeters

about _________ meters

I use more units of:

centimeters

meters

Answer:

about 300 centimeters,

about 3 meters.

Centimeters are more.

Explanation:

The above image is about 300 centimeters and about 3 meters. Here, centimeters are more.

**Independent Practice**

Measure each real object using different units. Circle the unit you use fewer of to measure each object.

Question 3.

about _________ meters

about _________ centimeters

I use fewer units of:

centimeters

meters

Answer:

about 200 centimeters,

about 2 meters.

Meters are fewer.

Explanation:

The above image is about 200 centimeters and about 2 meters. Here, meters are fewer.

Question 4.

about _________ meters

about _________ centimeters

I use fewer units of:

centimeters

meters

Answer:

about 300 centimeters,

about 3 meters.

Meters are fewer.

Explanation:

The above image is about 300 centimeters and about 3 meters. Here, meters are fewer.

Question 5.

**Higher Order Thinking** Jay measured the height of his bedroom in both centimeters and meters. Did he use fewer units of centimeters or meters? Explain.

Answer:

Meters.

Explanation:

Here, Jay used fewer meters because they are larger units of measurement.

**Problem Solving**

Solve each problem.

Question 6.

Explain If you had to measure the length of the hallway outside of your classroom, would you use centimeters or meters? Explain.

Answer:

Meters.

Explanation:

We would use meters because they are larger.

Question 7.

**Higher Order Thinking** A meter stick is about 39 inches long. Is a meter longer or shorter than a yard? Explain.

Answer:

Explanation:

Given that a meter stick is about 39 inches long. Now we will check that meter is longer or shorter than a yard. As we know that 1 foot is 12 inches and for 3 feet it will be 12 × 3 which is 36 inches. And here meter stick is 39 inches, so the meter is longer.

Question 8.

**Assessment Practice** Estimate the length of a baseball bat in centimeters and meters.

_________ centimeters

________ meters

Which number must be greater? Explain.

Answer:

Question 9.

**Assessment Practice** Tina measures the length of a jump rope using different units. How will her measurements compare?

Answer:

### Lesson 12.8 Compare Lengths

**Solve & Share**

Circle two paths. Estimate which one is longer. How can you check if your estimate is correct?

I can … tell how much longer one object is than another.

Estimate: The _________ path is longer.

Measure: The __________ path is longer.

Answer:

Estimate: The blue path is longer.

Measure: The blue path is longer.

Explanation:

Here, the blue path is longer.

Visual Learning Bridge

Convince Me! How can you find the length of a path that is not straight?

Answer:

Here, we will move the ruler and then we need to add both parts.

**Guided Practice**

Estimate the length of each path. Then use a centimeter ruler to measure each path.

Question 1.

Question 2.

Path B

Estimate: about _______ cm

Measure: about ________ cm

Answer:

Estimate: about 7 cm.

Measure: about 6 cm.

Explanation:

The estimated length of path B is 7 cm and the measured value is about 6 cm.

Question 3.

Which path is longer?

Answer:

Path A.

Explanation:

From the above paths, Path A is longer than Path B.

Question 4.

How much longer?

about _________ cm longer

Answer:

About 4 cm longer.

Explanation:

In the above, we can see that Path A measured value is about 10 cm and Path B measured value is about 6 cm. So the Path A is 10 – 6 which is 4 cm longer than Path B.

**Independent Practice**

Estimate the length of each path. Then use a centimeter ruler to measure each path. Compare your estimate and measurement.

Question 5.

Estimate: about ________ centimeters

Measure: about __________ centimeters

Answer:

Estimate: about 10 cm.

Measure: about 11 cm.

Explanation:

The estimated length of path C is 10 cm and the measured value is about 11 cm.

Question 6.

Path D

Estimate: about ________ centimeters

Measure: about __________ centimeters

Answer:

Estimate: about 8 cm.

Measure: about 7 cm.

Explanation:

The estimated length of path D is 8 cm and the measured value is about 7 cm.

Question 7.

Which path is longer?

Answer:

Path C.

Explanation:

From the above paths, Path C is longer than Path D.

Question 8.

How much longer?

about ________ centimeters longer

Answer:

About 4 cm longer.

Explanation:

In the above, we can see that Path C measured value is about 11 cm and Path D measured value is about 7 cm. So the Path A is 11 – 7 which is 4 cm longer than Path D.

**Higher Order Thinking** Think about the length of each object. Circle the best estimate of its length.

Question 9.

a key

about l cm

about 6 cm

about 20 cm

Answer:

About 6 cm.

Explanation:

Here, the key is about 6 cm.

Question 10.

a pen

about 2 cm

about 4 cm

about 15 cm

Use your estimates to complete:

A pen is about ________ cm than a ________.

Answer:

A pen is about 9 cm than a key.

Explanation:

In the above, we can see that the key is about 6 cm long and the pen is about 15 cm long. So a pen is 15 – 6 which is 9 cm longer than a key.

**Problem Solving**

Solve each problem.

Question 11.

Explain A path has two parts. The total length of the path is 12 cm. If one part is 8 cm, how long is the other part? Explain.

________ centimeters

Answer:

About 4 cm long.

Explanation:

Given that the total length of the path is 12 cm and one part is 8 cm, so the other part is 12 – 8 which is 4 cm long.

Question 12.

**Higher Order Thinking** Draw a path with two parts. Measure the length to the nearest centimeter. Write an equation to show the length of your path.

Answer:

The equation is 7 cm + 3 cm = 10 cm.

Explanation:

Here, we have taken a path with two parts Path A and Path B with 7 cm and 3 cm. So the equation will be 7 + 3 = 10 cm.

Question 13.

**Higher Order Thinking** Beth drew a picture of a bike path. Use tools. Measure the length of the path below. Write the total length.

about __________ centimeters

Answer:

The length is about 12 cm.

Explanation:

The length of Beth’s path is 5 + 2 + 5 which is 12 cm.

Question 14.

**Assessment Practice** Measure each path in centimeters.

How much longer is Path A than Path B? Show your work.

Answer:

Path A is 2 cm longer than Path B.

Explanation:

In the above image, the length of Path A is 14 cm and the length of Path B is 12 cm. So Path A is 14 – 12 = 2 cm longer than Path B.

### Lesson 12.9 Problem Solving

**Precision**

**Solve & Share**

Zeke measures the snake and says it is about 4 inches long. Jay says it is about 5 inches long. Who measures the snake more precisely? Measure and explain.

I can … choose tools, units, and methods that help me be precise when I measure.

Length: __________

Answer:

The length of the snake is 5 inches long.

Explanation:

Here, Jay measures it more precisely because I measured to check his answer. The length of the snake is 5 inches long.

Thinking Habits

Which unit of measure will I use? Is my work precise?

Visual Learning Bridge

Convince Me! How does using a string help Anna use precision to measure the worm?

Answer:

Here, the string helps to measure the curves.

**Guided Practice**

Solve.

Question 1.

Bev measures the crayon and says it is 5 centimeters long. Is her work precise? Explain.

Answer:

Yes, Bev’s work is precise.

Explanation:

Yes, Bev’s work is precise. Because we can see the measurement.

**Independent Practice**

Solve each problem.

Question 2.

Steve uses centimeter cubes. He says the pencil is 9 centimeters long. Is his work precise? Explain.

Answer:

No, Steve’s work is not precise.

Explanation:

No, Steve’s work is not precise. Because he left the spaces between the centimeter cubes.

Question 3.

Use a centimeter ruler to measure the pencil yourself. How long is the pencil? Explain what you did to make sure your work is precise.

Answer:

The pencil is 11 cm long.

Explanation:

It is 11 cm long and here we have used a ruler to measure.

Question 4.

Find the difference in the lengths of the paths in inches. Is your answer precise? Explain.

Answer:

The difference between the two paths is 3.

Explanation:

The length of Path A is 3 inches and the length of Path B is 6 inches. So the difference between the two paths is 6 – 3 which is 3.

**Problem Solving**

Performance Task

Shoestring Katie lost a shoestring. The shoestring has the same length as the shoestring at the right. What is the length of the shoestring Katie lost?

Question 5.

Make Sense Estimate the length of the shoestring in the picture. Explain how your estimate helps you measure.

Answer:

The length of the shoelace is 15 cm.

Explanation:

The estimation of each part of the shoelace is to be 5 cm. So the total will be 15 cm.

Question 6.

Use Tools What tools can you use to measure the shoestring? Explain.

Answer:

Here, we can use a string to measure the shoestring.

Question 7.

**Be Precise** Measure the shoestring. Tell why your work is precise.

Answer:

Here, we have measured 30 cm with the string and then we measure the string on the ruler.

### 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 100.

Clues

A. The sum is between 47 and 53.

B. The difference equals 56 – 20.

C. The sum equals 100.

D. The difference equals 79 – 27.

E. The difference is between 25 and 35.

F. The sum equals 41 + 56.

G. The difference is less than 20.

H. The sum equals 26 + 19.

Answer:

A. The sum is between 47 and 53 is 100 which is 56 + 44 is 100.

B. The difference equals 56 – 20 = 36 which is 60 – 24 is 36.

C. The sum equals 100 which is 56 + 44 is 100.

D. The difference equals 79 – 27 is 52 which is 81 – 29 is 52.

E. The difference is between 25 and 35 is 10.

F. The sum equals 41 + 56 is 97 which is 32 + 65 is 97.

G. The difference is less than 20 is 47 – 31 is 16.

H. The sum equals 26 + 19 is 45 which is 34 + 11 is 45.

### Topic 12 Vocabulary Review

Understand Vocabulary

Word List

• centimeter (cm)

• estimate

• foot (ft)

• height

• inch (in.)

• length

• meter (m)

• nearest centimeter

• nearest inch

• yard (yd)

Question 1.

Circle the unit that has the greatest length.

foot

meter

inch

Answer:

Question 2.

Circle the unit that has the shortest length.

yard

inch

centimeter

Answer:

Question 3.

Cross out the unit you would NOT use to measure the length of a book.

inch

centimeter

yard

Answer:

Question 4.

Cross out the unit you would NOT use to measure the height of a house.

inch

foot

meter

Answer:

Estimate the length of each item.

Question 5.

pencil

_________

Answer:

Question 6.

paper clip

_________

Answer:

Question 7.

school desk

__________

Answer:

**Use Vocabulary in Writing**

Question 8.

Use words to tell how to find the height of a table. Use terms from the Word List.

Answer:

### Topic 12 Reteaching

**Set A**

There are 12 inches in I foot. There are 3 feet in I yard. You can use lengths of objects you know to estimate lengths of other objects.

Estimate the lengths of two classroom objects in feet. Name each object and write your estimate.

Question 1.

Object: __________

about ____ feet

Answer:

Object: Window

About 6 feet.

Explanation:

The estimated value of the window is 6 feet and the sink is 2 feet.

Question 2.

Object: ____________

about ________ feet

Answer:

Object: Sink

About 2 feet.

Explanation:

The estimated value of the sink is 2 feet.

**Set B**

You can measure the length of an object to the nearest inch.

The string is longer than halfway between 1 and 2.

So, use the greater number.

The string is about 2 inches.

Find objects like the ones shown. Use a ruler to measure their lengths.

Question 3.

about _______ inches

Answer:

About 5 inches.

Explanation:

The length of the object is about 5 inches.

Question 4.

about _______ inches

Answer:

About 3 inches.

Explanation:

The length of the object is about 3 inches.

**Set C**

The measure of the height of a window takes more units of feet than yards.

Measure the real object in inches and feet. Circle the unit you needed more of.

Question 5.

about ________ feet

about ______ yard

Answer:

Feets are more.

Explanation:

The measurement of the object is about 3 feet and about 1 yard. Here, feets are more.

**Set D**

You can measure the length of an object to the nearest centimeter.

The paper clip is less than halfway between 3 and 4.

So, use the lesser number.

The paper clip is about 3 cm.

Find real objects like the ones shown. Use a ruler to measure their lengths.

Question 6.

about _________ cm

Answer:

About 16 cm.

Explanation:

The measurement of the object is about 16 cm.

Question 7.

about _________ cm

Answer:

About 7 cm.

Explanation:

The measurement of the object is about 7 cm.

**Set E**

**Reteaching Continued**

There are 100 centimeters in 1 meter.

Circle the picture of the real object that is about each length or height.

Question 8.

about 1 centimeter

Answer:

The height of the pen is about 1 centimeter.

Explanation:

The height of the pen is about 1 centimeter.

Question 9.

about 1 meter

Answer:

The length of the belt is about 1 meter.

Explanation:

The length of the belt is about 1 meter.

**Set F**

The measure of the height of this cart takes fewer units of meters than centimeters.

about 93 centimeters

about 1 meters

Measure the real object in centimeters and meters. Circle the unit you needed fewer of.

Question 10.

about ________ centimeters

about _______ meters

Answer:

About 200 centimeters,

About 2 meters.

Explanation:

The length of the door is about 200 centimeters and about 2 meters. So it is fewer in meters.

**Set G**

Which path is longer? How much longer? Measure each part. Then add the lengths.

Subtract the lengths to compare.

6 – 5 = 1

The purple path is about 1 centimeter longer.

Use a centimeter ruler. Measure each path.

Question 11.

Red path: ________ centimeters

Answer:

9 centimeters.

Explanation:

The red path is 9 centimeters.

Question 12.

Blue path: ________centimeters

Answer:

7 centimeters.

Explanation:

The blue path is 7 centimeters.

Question 13.

Which path is longer?

_________

How much longer is it?

about _________ centimeters longer

Answer:

Red path.

Explanation:

The longer path is the red path and 9 – 7 = 2 centimeters longer.

**Set H**

**Thinking Habits**

Attend to Precision Which unit of measure will I use? Is my work precise?

Question 14.

Measure the length of the bottom of this page in feet and in inches.

about _______ ft

about ________ in.

Answer:

about 1 ft

about 10 in.

Explanation:

The length of the bottom of this page in feet is about 1 foot and in inches, it is about 10 inches.

Question 15.

Which measure in Item 14 is more precise? Explain.

Answer:

Here, 10 inches is more precise because it is the exact measurement.

### Topic 12 Assessment Practice

Question 1.

Estimate. About how tall is the flower?

A. about 5 cm

B. about 10 cm

C. about 15 cm

D. about 1 meter

Answer:

B.

Explanation:

The flower is about 10 cm.

Question 2.

Draw a line from each estimate to a matching object.

about 1 yard

about 1 foot

about 1 inch

Answer:

The shoe is about 1 foot.

The coin is about 1 inch.

The ribbon is about 1 yard.

Question 3.

Which units would you need the fewest of to measure the height of a fence?

A. inches

B. feet

C. yards

D. all the same

Answer:

C.

Explanation:

The fewest of to measure the height of a fence is yards.

Question 4.

Dan measures the width of a window with answer precise? Explain.

Answer:

No, Dan’s answer was not precise.

Explanation:

No, Dan’s answer was not precise. Because he didn’t mention the measurements.

Question 5.

Use a ruler to measure each line to the nearest centimeter. Which are about 3 centimeters long? Choose all that apply.

Answer:

Option 1.

Explanation:

The first option is about 3 centimeters long.

Question 6.

Use a ruler to measure the length of the pencil in inches. Which is the correct measurement?

A. 2 inches

B. 3 inches

C. 4 inches

D. 5 inches

Answer:

B.

Explanation:

The pencil is 3 inches long.

Question 7.

Circle the unit you need fewer of to measure the length of a kitchen.

centimeters

meters

Circle the unit you need fewer of to measure the length of a table.

feet

yards

Answer:

Fewer meters.

Fewer yards.

Explanation:

The length of the kitchen is fewer meters.

The length of the table os fewer yards.

Question 8.

Use a ruler. Measure each path to the nearest inch.

Which path is longer? ________

How much longer? about ________ longer

Answer:

Path B.

Explanation:

In the above image path B is longer and 4 – 3 = 1 inch longer.

Question 9.

Use a ruler. Measure the length of the marker to the nearest centimeter. How long is the marker?

A. 6 centimeters

B. 9 centimeters

C. 12 centimeters

D. 15 centimeters

Answer:

9 centimeters.

Explanation:

The length of the marker to the nearest centimeter is 9 centimeters.

Question 10.

A path has two parts. The total length of the path is 15 cm. One part of the path is 9 cm long. How long is the other part?

A. 24 cm

B. 15 cm

C. 9 cm

D. 6 cm

Answer:

D.

Explanation:

Given that total length is 15 cm and one part is 9 cm long, so the length of the other part is 15 – 9 which is 6 cm.

Question 11.

Use a ruler. Measure each path to the nearest centimeter.

Which path is longer? ________

How much longer?

about _________ longer.

Answer:

PAth A, 2 cm longer.

Explanation:

The longer path is PAth A and 8 – 6 which is 2 cm longer.

Question 12.

Measure the gray line with tools you need to be precise. Choose all the measurements that are precise.

☐ 4 centimeters

☐ 4 inches

☐ 10

☐ 10 centimeters

☐ 4

Answer:

4 inches,

10 centimeters.

Explanation:

The gray line with tools we need to be precise the measurements is 4 inches and 10 centimeters.

Question 13.

Juan uses different units to measure a jump rope. Compare the measurements. Choose all that apply.

☐ more inches than feet

☐ fewer centimeters than meters

☐ fewer inches than feet

☐ more yards than feet

☐ more centimeters than meters

☐ fewer yards than feet

Answer:

Option A and Option E.

Explanation:

The measurements that apply are more inches than feet and more centimeters than meters.

Question 14. What is the length of the crayon to the nearest centimeter? What would be the combined length of two crayons?

The crayon is _________ centimeters.

Two crayons would measure ________ centimeters.

Answer:

The crayon is 4 centimeters.

Two crayons would measure 8 centimeters.

Explanation:

The length of the crayon to the nearest centimeter is 4 cm and the measurement of the two caryons will be 4 + 4 which is 8 cm.

Question 15.

Kim’s softball bat is 1 yard long. She uses 3 bats to measure the length of the classroom whiteboard. About how long is the whiteboard?

A. 3 inches

B. 3 feet

C. 1 yard

D. 3 yards

Answer:

3 yards.

Explanation:

The length of the whiteboard is 3 yards.

Question 16.

Kevin measured the length of a car in inches and in feet. Why is the number of feet less than the number of inches?

Answer:

Feets are larger than inches.

Explanation:

Here, feets are larger than inches so we need fewer of them.

### Topic 12 Performance Task

Happy Hiking! The Torres family loves to hike. They use this map to plan their hiking trip.

Question 1.

Use a centimeter ruler.

Find the total length of the triangle hiking path shown on the map.

about ________ centimeters

Explain how you found the length.

Answer:

Question 2.

Debbie Torres uses a backpack for hiking. She wants to measure its width. She wants to be precise. Should she use inches, feet, or yards? Explain your answer.

Answer:

Question 3.

Daniel Torres estimates the height of his water bottle. Is his estimate reasonable? Explain.

Answer:

Explanation:

Question 5.

On the hike, the Torres family sees a caterpillar. Use the picture below to answer the questions.

Part A

To be precise, which unit would you choose to measure the length of the caterpillar? Explain.

Answer:

The unit we will choose to measure the length of the caterpillar is centimeter.

Explanation:

The unit we will choose to measure the length of the caterpillar is centimeter, because if we choose a unit that is too small then we will get a larger number that is harder to keep track.

Part B

Estimate and then measure the length of the caterpillar. Then explain how you measured.

Estimate: ___________

Measurement: ___________

Answer:

Estimate: 5 centimeters.

Measurement: 4 centimeters.

Explanation:

The lenth of the caterpillar is 4 centimeters and it was measured by using ruler.

Question 4.

Maria Torres says that it would take more units of yards than feet to measure the height of the tower. Do you agree? Circle Yes or No. Explain.

Yes

No

Answer:

No, Maria Torres is not correct.

Explanation:

No, Maria Torres is not correct. As the height of the tower is measured in feet.