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## enVision Math Common Core 2nd Grade Answers Key Topic 13 Shapes and Their Attributes

**Essential Question:**

How can shapes be described, compared, and broken into parts?

**enVision STEM Project: All About Shape**

Find Out Draw pictures of tools used for gardening, cooking, or fixing. Describe the shape of each tool. Tell how the shape of each tool helps it work.

Journal: Make a Book Show your work in a book. In your book, also:

- Choose a tool that you use at school. Tell how the shape of the tool helps it work.
- Draw and describe polygon shapes.

**Review What You Know**

**Vocabulary**

Question 1.

Circle the shape that has 6 sides.

Answer:

The polygon with 6 sides is called a hexagon.

The blue figure has 5 sides and the green figure has 6 sides.

So, the answer is a green figure.

Question 2.

Circle each plane shape. Put a box around each solid figure.

Answer:

Question 3.

Put a box around the circle that shows fourths.

Answer:

The first figure is divided into four parts.

**Basic Facts**

Question 4.

Write each sum.

Answer:

Question 5.

Write each difference.

Answer:

**Math Story**

Question 6.

Edna has a bookcase with 5 shelves. She places 5 books in a row on each shelf. Write an equation that shows how many books Edna has in all.

Answer:

Given,

Edna has a bookcase with 5 shelves.

She places 5 books in a row on each shelf.

5 × 5 = 25

Thus there are 25 books in all.

**Pick a Project**

PROJECT 13A

What shapes can you find in a tile design?

Project: Create a Tile Design

PROJECT 13B

How do architects design a house?

Project: Draw Your Dream Building

PROJECT 13C

What national landmarks are in your state?

Project: Build a Landmark

**3-ACT MATH PREVIEW**

Math Modeling Straw Shaped

Before watching the video, think: What can you build with straws? What kind of shapes? How can you compare those shapes?

### Lesson 13.1 2-Dimensional Shapes

**Solve & Share**

Look at the picture. How many triangles can you find? Trace each triangle. Be ready to explain how you know you have found them all.

I can … recognize shapes by how they look.

________ triangles

Answer: 10 triangles

Visual Learning Bridge

Convince Me! How do sides and vertices help you name a plane shape?

**Guided Practice**

Match each shape to its name.

Question 1.

Answer:

Tell how many sides and vertices. Name each shape.

Question 2.

________ sides

________ vertices

Shape: __________

Answer:

**4** sides

**4** vertices

Shape: **Quadrilateral**

The above figure is a quadrilateral with four sides and four vertices.

Question 3.

________ sides

________ vertices

Shape: __________

Answer:

**5** sides

**5** vertices

Shape: **Pentagon**

The above figure is a pentagon with five sides and five vertices.

**Independent Practice**

Match each shape to its name.

Question 4.

Answer:

Question 5.

Answer:

Draw the shape. Tell how many sides and vertices.

Question 6.

Quadrilateral

________ sides

________ vertices

Answer:

**4** sides

**4** vertices

A quadrilateral is a regular polygon with four sides and four vertices.

Question 7.

Hexagon

________ sides

________ vertices

Answer:

**6** sides

**6** vertices

A hexagon is a polygon with 6 sides and 6 vertices.

Question 8.

Triangle

________ sides

________ vertices

Answer:

**3** sides

**3** vertices

A triangle is a polygon with three sides and three vertices.

Question 9.

Higher Order Thinking Bianca drew a triangle and a pentagon. How many sides and vertices did she draw in all? Draw the shapes.

________ sides

________ vertices

Answer:

**3** sides

**3** vertices

A triangle is a polygon with three sides and three vertices.

**5** sides

**5** vertices

The above figure is a pentagon with five sides and five vertices.

**Problem Solving**

Solve each problem.

Question 10.

Model Marcos has 4 toothpicks. He places them as shown. What shape can Marcos make if he adds one more toothpick?

Answer:

If Marcos adds one more toothpick it becomes a pentagon.

Question 11.

**Vocabulary** Connect all the dots to make two shapes that have vertices. Name the shapes that you make.

Answer:

Question 12.

**Higher Order Thinking** Randall said that a square is a quadrilateral. Susan said that a square is a square, so it is not a quadrilateral. Who is correct? Explain.

Answer:

A square is a square and also a quadrilateral. So, Randall is correct.

Question 13.

Assessment Practice Which shape is NOT a hexagon?

Answer: Option C has 5 sides so it is not a hexagon.

Thus the answer is option C.

### Lesson 13.2 Polygons and Angles

**Solve & Share**

Look at the three plane shapes below. How are they alike? How are they different? Measure the length of the sides to help describe them. Name each shape.

I can … describe plane shapes by how they look.

Visual Learning Bridge

Convince Me! How many angles does this shape have? How many right angles? Name the shape.

**Guided Practice**

Write the number of angles and Practice then name the shape.

Question 1.

________ angles

Shape: _________

Answer:

5 angles

Shape: Pentagon

Explanation:

The above figure is a pentagon with five angles.

Question 2.

________ angles

Shape: _________

Answer:

5 angles

Shape: Pentagon

Explanation:

The above figure is a pentagon with five angles.

Question 3.

________ angles

Shape: _________

Answer:

6 angles

Shape: Hexagon

Explanation:

The above figure is a hexagon with six angles.

Question 4.

________ angles

Shape: _________

Answer:

3 angles

Shape: Triangle

Explanation:

The above figure is a triangle with three angles.

**Independent Practice**

Write the number of angles and then name the shape.

Question 5.

________ angles

Shape: _________

Answer:

5 angles

Shape: Pentagon

Explanation:

The above figure is a pentagon with five angles.

Question 6.

________ angles

Shape: _________

Answer:

6 angles

Shape: Hexagon

Explanation:

The above figure is a hexagon with six angles.

Question 7.

________ angles

Shape: _________

Answer:

4 angles

Shape: Quadrilateral

Explanation:

The above figure is a Quadrilateral with four angles.

Question 8.

________ angles

Shape: _________

Answer:

6 angles

Shape: Hexagon

Explanation:

The above figure is a hexagon with six angles.

Question 9.

________ angles

Shape: _________

Answer:

4 angles

Shape: Quadrilateral

Explanation:

The above figure is a Quadrilateral with four angles.

Question 10.

________ angles

Shape: _________

Answer:

5 angles

Shape: Pentagon

Explanation:

The above figure is a pentagon with five angles.

Question 11.

**Higher Order Thinking** Draw a polygon with 2 right angles and 2 angles that are not right angles. Name the shape you draw.

Answer:

**Problem Solving**

Solve each problem.

Question 12.

Be Precise Which plane shapes are sewn together in the soccer ball?

Answer: Pentagon and hexagon are seen together in the soccer ball.

Question 13.

enVision® STEM Bees make honeycomb. The honeycomb shape uses less wax than other shapes. Name the shape. Tell how many angles the shape has.

Answer:

Given,

Bees make honeycomb. The honeycomb shape uses less wax than other shapes.

The shape of the honeycomb is the hexagon.

Question 14.

**Higher Order Thinking** Draw a polygon shape that has 7 angles. How many sides does the polygon have? How many vertices does it have?

Answer:

Question 15.

**Assessment Practice** Name the shape of the sign below. Write 3 things that describe the shape.

Answer:

The shape of the above sign is a pentagon.

### Lesson 13.3 Draw 2-Dimensional Shapes

**Solve & Share**

Draw a polygon with 3 sides that are the same length. Then draw a polygon with 3 sides that are different lengths. Measure the lengths of the sides you drew. Tell 4 ways the shapes are alike.

I can … draw polygon shapes.

Visual Learning Bridge

Convince Me! Draw a quadrilateral with 4 sides that are the same length and with 4 right angles. Write 2 names for the quadrilateral.

**Guided Practice**

Draw each shape. Complete the sentences.

Question 1.

Draw a polygon with 3 vertices.

The polygon also has _______ sides.

The polygon is a ________

Answer:

The polygon also has three sides.

The polygon is a triangle.

Question 2.

Draw a polygon with 6 sides.

The polygon also has _______ angles.

The polygon is a _______

Answer:

The polygon also has six angles.

The polygon is a hexagon.

**Independent Practice**

Draw each shape. Complete the sentences.

Question 3.

Draw a polygon with 3 vertices and I right angle.

The polygon also has _______ sides.

The polygon is a _______

Answer:

The polygon also has three sides.

The polygon is a right angle.

Question 4.

Draw a quadrilateral with opposite sides that are the same length.

The polygon also has _______ vertices.

The polygon is a _______

Answer:

The polygon also has four vertices.

The polygon is a Rectangle.

Question 5.

Draw a polygon with 4 sides that are the same length.

The polygon also has _______ angles.

The polygon is a _______

Answer:

The polygon also has four angles.

The polygon is a square.

Question 6.

Draw a polygon with 4 sides that are different lengths.

The polygon also has _______ angles.

The polygon is a _______

Answer:

The polygon also has four angles.

The polygon is a quadrilateral

Question 7.

Draw a polygon with 5 vertices and 3 sides that are the same length.

The polygon also has _______ sides in all.

The polygon is a _______

Answer:

The polygon also has five sides in all.

The polygon is a pentagon

Question 8.

**Higher Order Thinking** Can you draw a polygon with 3 vertices and 4 sides? Explain.

Answer: No

**Problem Solving**

Solve the problems below.

Question 9.

Be Precise Draw a rectangle with 4 equal sides.

What is another name for this shape?

Answer:

The polygon also has four angles.

The polygon is a square.

Question 10.

Draw 3 shapes. The first shape is a quadrilateral. The number of vertices in each shape increases by one.

Name the third shape. __________

Answer:

The polygon has five sides and five vertices.

The name of the shape is a pentagon.

The polygon also has six angles.

The polygon is a hexagon.

Question 11.

**Higher Order Thinking** The owner of Joe’s Fish Market wants a new sign. He wants the sign to have curved sides. Draw a sign for Joe’s Fish Market.

Is the sign a polygon? Explain.

Answer: No the sign of Joe’s fish market is not a polygon.

Question 12.

**Assessment Practice** David drew two different polygons. One of the polygons was a square. If David drew 9 sides and 9 vertices in all, what other polygon did David draw?

Answer: option D

### Lesson 13.4 Cubes

**Solve & Share**

m Describe the two shapes in 4 or more ways. Tell how they are different and how they are the same. Use a tool to include measurements in your description.

I can … draw cubes and describe how they look.

Visual Learning Bridge

Convince Me! What solid figure has 6 equal faces? What is the shape of each face?

**Guided Practice**

Circle the cubes in the group of shapes. Be ready to explain how you know they are cubes.

Question 1.

Answer:

Question 2.

Use the dot paper. Draw a cube.

Answer:

A symmetrical three-dimensional shape, either solid or hollow contained by six equal squares

**Independent Practice**

Decide if the shape is a cube. Then draw a line from each shape to cube or NOT a cube.

Question 3.

Answer:

Question 4.

Trace the cube shown below.

How many faces can you see?

________ faces

Answer: 6 faces

**Algebra** Use what you know about cubes to write an equation and solve each problem.

Question 5.

How many vertices do these two cubes have in all?

Answer: 8 + 8 = 16

Thus there are 16 vertices in two cubes.

Question 6.

How many faces do these two cubes have in all?

Answer:

6 + 6 = 12

Thus there are 12 faces in two cubes.

**Problem Solving**

Use what you know about cubes to solve each problem.

Question 7.

Explain Scott is holding a solid figure with 6 equal faces, 12 edges, and 8 vertices. Scott says the figure is a cube. Carmen says the figure is a square. Who is correct? Explain.

Answer:

Cube or Cuboid has 6 equal faces, 12 edges, and 8 vertices.

Question 8.

**Vocabulary** Circle the vocabulary word that completes the sentence.

vertices

faces

edges

A cube has 6 _________.

Answer: A cube has 6 faces.

Question 9.

**Higher Order Thinking** Use a place-value ones cube or another solid cube. Look at the cube as you turn it. Turn the cube in any direction.

What is the greatest number of faces you can see at one time? Explain.

Answer: Number of faces is 4

Question 10.

**Assessment Practice** Complete the sentences about a cube.

A cube is a solid ________.

A cube has ________ equal faces, ________ vertices, and _______ edges.

Answer:

A cube is a solid shape.

A cube has 6 equal faces, 8 vertices, and 12 edges.

### Lesson 13.5 Equal Shares

**Solve & Share**

How many equal squares cover this rectangle? How could you show this with an addition equation?

I can … cover rectangles with equalsize squares and count to find the total number of them.

__________ equal squares

Equation: _________

Answer:

20 equal squares

Equation: 4 × 5 = 20

Visual Learning Bridge

Convince Me! Explain how you can cover a rectangle with equal-sized squares to help you find the total number of them.

**Guided Practice**

Solve.

Question 1.

Use square tiles to cover the rectangle. Trace the tiles. Column 1 is done for you.

Answer:

By using the above diagram square tiles are filled in rows and columns

The number of squares in a rectangle is equal to the number of rows into the number of columns

3 x 6 = 18

Question 2.

Count and add. How many squares cover the rectangle?

Add by rows: ________ + ________ + ______ = _______

Add by columns:

________ + ________ + ______ + ________ + ________ + ______ = _______

Answer:

6 squares cover the rectangle

Explanation:

Add by rows: 6+6+6=18

Add by columns:

3+3+3+3+3+3=18

**Independent Practice**

Use square tiles to cover each rectangle. Trace the tiles. Count the squares.

Question 3.

Add by rows: ________ + ________ + ________ + ______ = _______

Add by columns:

________ + ________ + ______ + ________ + ________ = _______

Answer:

By using the above diagram square tiles are filled in rows and columns

The number of squares in a rectangle is equal to the number of rows into the number of columns.

Add by rows: 5+5+5+5=20

Add by columns: 4+4+4+4+4=20

Question 4.

Add by rows: ________ + ________ + ________ + ______ = _______

Add by columns:

________ + ________ + ______ + ________ + ________ = _______

Answer:

By using the above diagram square tiles are filled in rows and columns

The number of squares in a rectangle is equal to the number of rows into the number of columns.

Add by rows: 5+5+5+5=20

Add by columns: 4+4+4+4+4=20

Question 5.

Number Sense Draw a rectangle that is made up of 6 equal squares.

Answer:

A rectangle is drawn by 6 equal squares.

**Problem Solving**

Solve each problem.

Question 6.

Look for Patterns Lisa bakes cornbread. She cuts it into equal square pieces. How many equal squares do you see? Write two equations to show the total number of square pieces.

Rows: _____ + _____ + _____ + _____ + _____ + _____ = _____ pieces

Columns: _____ + _____ + _____ + _____ = _____ pieces

Answer:

By using the above diagram square tiles are filled in rows and columns

Number of squares in a rectangle is equal to number of rows into number of columns

Explanation:

Add by rows: 4+4+4+4+4+4=24 pieces

Add by columns: 6+6+6+6=24 pieces

Question 7.

Vocabulary Label the columns and the rows for the large square below.

Answer: number of rows into a number of columns 3×3=9

Question 8.

**Higher Order Thinking** Look at the large square in Item 7. What do you notice about the number of rows and the number of columns? Explain.

Answer:

If you take a square with item 7

The number of rows is 7 and the number of columns is 7

7 x 7 = 49

Question 9.

**Assessment Practice** Count the equal squares in the rows and columns of the rectangle. Then use the numbers on the cards to write the missing numbers in the equations.

Row = _____ + ______ = ______

Columns = ______ + ______ + ______ + ______ + ______ + ______ + ______ = ______

Answer:

By using the above diagram square tiles are filled in rows and columns

Number of squares in a rectangle is equal to number of rows into number of columns

Explanation:

Rows =7+7=14

Columns = 2+2+2+2+2+2+2=14

### Lesson 13.6 Partition Shapes

**Solve & Share**

Fold a paper square one time to make equal shares. How many equal shares are there? Fold a different square 2 times to make equal shares. How many equal shares are there? Draw your fold lines on the squares below. What can you say about the number of folds and the number of equal shares?

I can … show circles and rectangles in halves, thirds, and fourths.

Visual Learning Bridge

Convince Me! Show this rectangle with three equal shares. How many thirds is one share? How many thirds is the whole rectangle?

Answer: For example if you take a kerchief of square shape and fold it once it becomes 2 equal shares and 2 fold it turns to 4 shares.

**Guided Practice**

Solve each problem.

Question 1.

Show each square in halves. Show four different ways.

Answer:

The first square is divided diagonally,

The second square is divided vertically,

The third square is divided diagonally,

The fourth square is divided horizontally.

Question 2.

Tell what part of the whole each equal share is. Write a half of, a third of, or a fourth of.

Answer:

Rectangle a fourth

Circle a third

Square a half

Explanation:

From the above figure rectangle is 1/4 th of equal share,

Circle is 1/3 rd and the square is 1/2.

**Independent Practice**

Show each shape with the number of equal shares given. Show 2 ways. Then complete the sentences.

Question 3.

3 equal shares

Each share is ________ the whole.

Each whole is ______________.

Answer:

The first rectangle is divided vertically

The second rectangle is divided horizontally.

Explanation:

Each share is one third the whole

Each whole is one third

Question 4.

4 equal shares

Each share is _________ the whole.

Each whole is __________.

Answer:

The first rectangle is divided vertically

The second rectangle is divided horizontally.

Explanation:

Each share is one fourth the whole

Each whole is one fourth

Question 5.

2 equal shares

Each share is _________ the whole.

Each whole is __________.

Answer:

The first circle is divided vertically

The second circle is divided horizontally.

Explanation:

Each share is one half the whole

Each whole is one half

Question 6.

**Higher Order Thinking** Draw what comes next.

Answer:

**Problem Solving**

Solve each problem.

Question 7.

Model Leon cut a waffle into halves. Draw lines to show 3 different ways he could have cut the waffle.

Answer:

The first square is divided vertically

the second square is divided horizontally

The third square is divided diagonally.

Question 8.

enVision® STEM Tina is planting a garden. She wants to have equal parts for beans, for tomatoes, and for peppers. Draw a picture of how she could plant her garden.

Answer:

Consider the garden in rectangle shape

One third is for beans and the second part is for tomatoes and the last part is for peppers.

Question 9.

**Higher Order Thinking** Draw lines on the picture to solve the problem. 4 friends want to share a watermelon. How could they cut the watermelon so each friend gets an equal share?

Answer:

Each friend will get __________.

Answer:

Each friend will get one fourth

Question 10.

**Assessment Practice** Matt wants a flag that shows fourths. Which flags could Matt use? Choose all that apply.

Answer:

The first three matt can use as flags

### Lesson 13.7 Equal Shares, Different Shapes

**Solve & Share**

Use a crayon to show 4 equal shares of this pizza. Compare your answer with a partner. Did you both make 4 equal shares? Do your shares look the same?

I can … make equal shares that do not have the same shape.

Answer:

In anne’s pizza cutting she made into 4 equal parts as squares

In Mark’s pizza cutting he made 4 equal parts as rectangles.

Both ways are correct.

Visual Learning Bridge

Convince Me! How can you check to make sure all of the shares are equal?

**Guided Practice**

Draw lines to show 2 equal shares. Each way should be different.

Question 1.

Answer: The first rectangle is divided horizontally

The second is divided vertically.

Question 2.

How many squares are in each equal share of the rectangles?

Answer:

In a rectangle, if it is divided into halves the shares will be two equal.

Question 3.

Describe the equal shares and the whole.

Each share is a half of the whole.

Each whole is two halves.

Answer: When you divide a whole in two you get equal shares.

**Independent Practice**

Draw lines in each rectangle to show 4 equal shares. Each way should be different. Then answer the questions.

Question 4.

Show equal shares that are the same shape.

Show equal shares that are different shapes.

Answer:

In the above two rectangular boxes one is divided equally and the other is divided in 3 parts but not equal.

Question 5.

How many squares are in each equal share in Item 4?

Answer:

In a square if we divide by 4 then the squares is four

Question 6.

Describe the equal shares and the whole in Item 4.

Each share is ___________ the whole.

Each whole is ___________.

Answer:

Each share is one fourth the whole

Each whole is one fourth

Draw lines to show 3 equal shares in two different ways.

Question 7.

Answer:

The first one is divided vertically and the other is divided horizontally.

Question 8.

**Higher Order Thinking** How can equal shares in a rectangle have different shapes?

Answer:

The first figure is having vertical rectangular

The second is having square

The third is having horizontal rectangles.

**Problem Solving**

Solve each problem.

Question 9.

Allen wants to share this pan of corn bread with 3 friends. Allen and his friends will each get an equal share.

How many pieces will be in each share?

___________ pieces

Answer:

Allen wants to share this pan of cornbread with 3 friends. If you cut the bread horizontally.

Each friend get 4 pieces

Question 10.

Explain Greg says that equal shares can be different in shape and size. Is Greg correct? Explain.

Answer:

The above figure explains that grey says that equal shares can be different in shape and size.

If the shape is the same.

Question 11.

**Higher Order Thinking** Donna drew the line in this rectangle to make 2 equal shares. Are the shares equal? Why or why not?

Answer:

The above figure is divided equally and has equal shares: the first half is having 10 boxes and the second is also having 10 boxes.

Question 12.

**Assessment Practice** Meg shows a rectangle with 3 equal shares that are NOT the same shape. Which could be Meg’s rectangle?

Answer:

Meg shows a rectangle with 3 equal shares that are NOT the same shape 4 is Meg’s rectangle.

### Lesson 13.8 Problem Solving

**Repeated Reasoning**

**Solve & Share**

Design two different flags. Draw 15 equalsize squares in each flag. Use rows and columns.

Make three equal shares of different colors in each flag. Then write an equation for each flag to show the total number of squares.

I can … use repeated reasoning to show rectangles with rows and columns and create designs with equal shares.

Thinking Habits Does something repeat in the problem? How can the solution help me solve another problem?

Visual Learning Bridge

Convince Me! How do you know each share in Design 2 is a fourth of the whole square?

Answer: If we do by equation he has to give 4 squares hence the design 2 is correct.

**Guided Practice**

Solve the problem. Use crayons to color. Practice

Question 1.

Hamal is painting a design. The design must have 3 colors with an equal share for each color. Create two possible designs for Hamal.

Answer:

In design two by counting the squares used 3 colors in design 1 by columns we colored.

Each share has 4 small squares so, any shape with 4 small squares is an equal share.

I can make shares that are the same shapes, these fourths are all squares.

In other design, I used different shapes for the shares

**Independent Practice**

Solve each problem. Use crayons to color. Explain your work.

Question 2.

Marie wants to put a rectangular design on a T-shirt. The design must have 4 colors with an equal share for each color. Create two possible designs for Marie.

Answer:

Each share has 4 small squares so, any shape with 4 small squares is an equal share.

I can make shares that are the same shapes, these fourths are all squares.

In other designs I used different shapes for the shares.

Question 3.

Grant wants to put a circle design on his toy car. The design must have 3 colors with an equal share for each color. Create two possible designs for Grant.

Answer:

In circles this is not possible.

**Problem Solving**

Performance Task

Tile Design Ms. Walton created this rectangular file design. What share of the design is orange? What share of the design is yellow? How many shares is the whole design? How many thirds is the whole?

Question 4.

Make Sense How does Ms. Walton’s design show equal shares? Explain.

Answer:

Each share has 4 small squares so, any shape with 4 small squares is an equal share.

I can make shares that are the same shapes, these fourths are all squares.

In another design I used different shapes for the shares.

Question 5.

**Reasoning** What share of the design is orange? What share of the design is yellow? How many shares is the whole design? How many thirds is the whole?

Answer:

Ms.Walton created this rectangular tile design one third of the design is orange two-third the design is yellow and three-thirds is the whole.

Question 6.

Generalize Copy the tile design above onto this grid. Then color it orange and yellow to match the design shown above.

How did you copy the design? Describe one or two shortcuts you used.

Answer:

Number of squares is 12

Explanation

I did it by equating the number of rows into the number of columns. By square count, we can do it

### Topic 13 Fluency Practice Activity

**Follow the path**

Find each sum or difference. Then color a path from Start to finish. Follow the sums and differences that are even numbers. You can only move up, down, right, or left.

I can …add and subtract within 100.

### Topic 13 Vocabulary Review

**Understand Vocabulary**

Write always, sometimes, or never.

Word List

• angle

• hexagon

• cube

• pentagon

• edge

. polygon

• equal shares

• quadrilateral

• face

• right angle

• fourths

• thirds

• halves

• vertex

Question 1.

A cube has exactly 4 faces. _________

Answer: Always

Question 2.

A right angle forms a square corner. ___________

Answer: Always

Question 3.

Quadrilaterals are squares. ___________

Answer: Sometimes

Question 4.

A solid figure with faces has edges. ___________

Answer: Sometimes

Draw a line from each term to its example.

Question 5.

hexagon

Answer:

Question 6.

pentagon

Answer:

Question 7.

vertex

Answer:

Use Vocabulary in Writing

Question 8.

Tell how you can divide a square into two equal shares. Then tell how you can divide that same square into 3 equal shares. Use terms from the Word List.

Answer: Thirds

### Topic 13 Reteaching

**Set A**

You can name a plane shape by its number of sides and vertices.

Write the number of sides and vertices. Name the shape.

Question 1.

_________ sides

_________ vertices

Shape: ________

Answer:

5 sides

five vertices

Pentagon

Question 2.

_________ sides

_________ vertices

Shape: ________

Answer:

5 sides

5 vertices

Pentagon

**Set B**

You can name a polygon by the number of its angles.

Write the number of angles. Then name the shape.

Question 3.

________ angles

Shape: ________

Answer:

Four angles

Rectangle and be a quadrilateral also

Question 4.

________ angles

Shape: ________

Answer:

3 angles

Triangle

**Set C**

You can draw a polygon with a given number of sides, vertices, or angles.

Draw a polygon with 4 sides. Two sides have different lengths.

Draw a polygon with 5 vertices.

Draw a polygon with 3 angles. One angle is a right angle.

Draw each polygon described.

Question 5.

6 sides

Answer:

Question 6.

3 vertices

Answer:

Question 7.

5 sides and 2 right angles

Answer:

Question 8.

8 angles

Answer:

An octagon is a polygon made up of 8 sides. It has eight angles. Octagon = Octa + gon where octa means eight and gon means sides

**Set D**

You can describe and draw cubes.

Question 9.

Cross out the shapes that are NOT cubes.

Answer:

A cube has 6 faces 12 edges and 8 vertices

Question 10.

Draw a cube. Use the dots to help you.

Answer:

Count by rows: 3 + 3 = 6

Count by columns: 2 + 2 + 2 = 6

6 squares cover the rectangle.

**Set E**

Reteaching Continued

You can cover a rectangle with squares.

Count by rows: 3 + 3 = 6

Count by columns: 2 + 2 + 2 = 6

6 squares cover the rectangle.

Use square tiles to cover the rectangle. Trace the tiles. Then count the squares.

Question 11.

__________ squares cover the rectangle.

Answer: 8 squares cover the rectangle

**Set F**

You can show circles and rectangles with equal shares.

Show each shape with the given number of equal shares. Show 2 ways.

Question 12.

halves

Answer:

First circle is divided horizontally

Second circle is divided vertically.

Question 13.

thirds

Answer:

First rectangle is divided horizontally in thirds

Second rectangle is divided vertically in thirds.

Question 14.

fourths

Answer:

First square is divided horizontal and vertical in fourths

Second square is divided diagonally in fourths.

**Set G**

Equal shares can be different shapes. This is one way to show this rectangle with 3 equal shares.

Each equal share is 4 squares.

Draw lines to show 2 more ways these rectangles can have 3 equal shares.

Question 15.

equal shares that are NOT all the same shape

Answer:

The rectangle does not share the same shapes.

Question 16.

equal shares that are all the same shape

Answer:Divided by 4 squares

**Set H**

Thinking Habits Repeated Reasoning

Does something repeat in the problem?

How can the solution help me solve another problem?

Use the design shown. Create a different design with 3 equal shares.

Question 17.

Answer:

Each share has 4 small squares so, any shape with 4 small squares is an equal share.

I can make shares that are the same shapes, these fourths are all squares.

In other designs, I used different shapes for the shares.

### Topic 13 Assessment Practice

Question 1.

Which polygons are pentagons?

Answer: 2 and 4 are pentagons

Question 2.

Rita draws a polygon. It has fewer than 8 sides and more angles than a square. Which shape did Rita draw?

A. triangle

B. rectangle

C. hexagon

D. quadrilateral

Answer:

Hexagon

A plane figure with six straight sides and angles.

Question 3.

Which rectangles are shown in fourths? Choose all that apply.

Answer: Option A, D

Question 4.

Draw a polygon with 4 angles. Make one angle a right angle. Then name the polygon.

Name: ______________

Answer: Quadrilateral

Question 5.

Is the polygon a quadrilateral? Choose Yes or No.

Answer: Quadrilateral will have 4 sides and 4 angles.

Question 6.

Mandy draws a polygon with 6 sides and 6 angles. Which shape did she draw?

A. pentagon

B. hexagon

C. octagon

D. quadrilateral

Answer:

A hexagon is a closed 2D shape that is made up of straight lines. It is a two-dimensional shape with six sides, six vertices, and six edges. The name is divided into hex, which means six, and gonia, which means corners.

Question 7.

Name the shape below. Write 3 things that describe the shape.

Answer:

Quadrilateral.

Explanation:

A quadrilateral has 4 sides, 4 angles, and 4 vertices.

A quadrilateral can be regular or irregular.

The sum of all the interior angles of a quadrilateral is 360°.

Question 8.

Draw the polygon described below.

Then complete the sentence.

I have 2 fewer sides than a pentagon. I have I less angle than a square. I have one right angle.

The shape is a __________.

Answer:Right-angled triangle

Explanation:

A right-angled triangle has 3 sides 3 angles and 3 vertices,

One less angle than a square,

2 fewer sides than a pentagon

Question 9.

Complete the sentence to name and describe the solid figure below.

A _______ has _______ faces, _______ vertices, has _______ edges.

Answer: A cube has 6 faces 8 vertices, has 12 edges.

Question 10.

Show this circle with 2 equal shares. Then complete the sentences.

Each share is a ________ of the whole.

The whole is _________ halves.

Answer:

Each share is half of the whole

The hole is 2 halves

Question 11.

Brad says there are only two ways to divide the same rectangle below into 3 equal shares. Do you agree? Use words and pictures to explain.

Answer: The above figure shows Brad was wrong.

Question 12.

Count the number of squares in the rows and columns of the rectangle. Use the numbers on the cards to write the missing numbers in the equations.

Rows: _____ + _____ + _____ = ______ squares

Columns: _____ + _____ + _____ + _____ + _____ = _____ squares

Answer:15

Explanation:

Each row has 5 squares by adding the rows 5+ 5+5=15

Each column has 3 squares by adding squares 3 +3+3+3+3=15.

Question 13.

Kerry wants a design that shows thirds. Which designs could Kerry use? Choose all that apply.

Answer:

Kerry wants a design that shows thirds are 3 and 4 rectangles are divided thirds

1,2,5 are not equally divided.

Question 14.

Is the solid figure a cube? Choose Yes or No.

Answer:

A symmetrical three-dimensional shape, either solid or hollow, contained by six equal square

Question 15.

Use the dot paper. Draw a cube.

Answer:

Question 16.

Divide the rectangle into rows and columns of squares the same size as the green square. Then count and record the number of squares.

________ squares

Answer:

Each row has 3 squares 3 + 3 = 6.

### Topic 13 Performance Task

Happy Home Tina and her family moved into a new home. They bought different things for each room.

Question 1.

They hang pictures on the wall. Name the shape of each picture frame.

Answer:

1. Triangle

2. Rectangle.

Question 2.

The rug in the kitchen has 5 sides and 5 vertices. Draw the shape of the rug.

Name the shape. ___________

Answer: A pentagon is a polygon with 5 sides and 5 angles.

Question 3.

The wallpaper uses this pattern.

Name the shape in the pattern.

Write the number of sides, vertices, and angles in the shape.

_______ sides _______ vertices ________ angles

Answer:

5 sides, 5 vertices and 5 angles.

Question 4.

The living room has 2 end tables.

Circle the table that is a cube. Explain.

Answer: A symmetrical three-dimensional shape, either solid or hollow, contained by six equal squares

Question 5.

Tina has a new quilt for her bed. Her quilt has this design.

What share is green? ___________

What share is yellow? _________

Answer:

Green is 2 and yellow is 2.

Explanation:

The square is divided into 4 equals in that 2 are green and 2 are yellow.

Question 6.

Tina’s mother is making a quilt with smaller squares. She wants the quilt to have i 4 colors. Each color has an equal share.

Part A

Use 4 colors to make a quilt design below. Make the equal shares the same shape.

Design 1

Answer:

Each share has 4 small squares so, any shape with 4 small squares is an equal share

I can make shares that are the same shapes, these fourths are all squares.

In other designs I used different shapes for the shares.

Part B Use 4 colors to make a different quilt design below. Make equal shares that are not all the same shape.

Design 2

Answer:

Each share has 4 small squares so, any shape with 4 small squares is an equal share.

I can make shares that are the same shapes, these fourths are all squares.

In other designs, I used different shapes for the shares.