## Big Ideas Math Book 2nd Grade Answer Key Chapter 15 Identify and Partition Shapes

### Identify and Partition Shapes Vocabulary

**Organize It**

Use the review words to complete the graphic organizer.

**Define It**

Use your vocabulary cards to identify the word. Find the word in the word search

### Lesson 15.1 Describe Two-Dimensional Shapes

**Explore and Grow**

Create a shape with 3 sides on your geoboard. Draw your shape. Did everyone in your class make the same shape?

Circle the word that makes the sentence true.

_______ are shapes with 3 sides.

Circles Squares Triangles

Answer: Triangles

**Show and Grow**

Question 1.

______ sides

_______ vertices

Shape : _________

Answer: 4 sides

4 vertices

Shape: Irregular Quadrilateral

Question 2.

______ sides

_______ vertices

Shape : _________

Answer: 5 sides

5 vertices

Shape: Irregular Pentagon

**Apply and Grow: Practice**

Question 3.

______ sides

_______ vertices

Shape : _________

Answer: 6 sides

6 vertices

Shape: Irregular Hexagon

Question 4.

______ sides

_______ vertices

Shape : _________

Answer: 4 sides

4 vertices

Shape: Irregular Quadrilateral

Question 5.

______ sides

_______ vertices

Shape : _________

Answer: 8 sides

8 vertices

Shape: Octagon

Question 6.

______ sides

_______ vertices

Shape : _________

Answer: 3 sides

3 vertices

Shape: Scalene Triangle

Question 7.

______ sides

_______ vertices

Shape : _________

Answer: 5 sides

5 vertices

Shape: Concave Pentagon

Question 8.

______ sides

_______ vertices

Shape : _________

Answer: 4 sides

4 vertices

Shape: Concave Quadrilateral

Question 9.

**Writing**

How are a pentagon and an octagon different?

____________________

_____________________

Answer: Pentagon has 5 sides and Octagon has 8 sides.

**Think and Grow: Modeling Real Life**

Draw a pentagon to make a house. Draw 2 quadrilaterals to make windows and 1 quadrilateral to make a door. Draw an octagon to make a chimney.

Answer:

**Show and Grow**

Question 10.

Draw a pentagon to make a fish. Draw 4 triangles to make the fins. Draw a hexagon to make an eye.

Answer:

Question 11.

You draw 5 quadrilaterals. How many sides and vertices do you draw in all?

______ sides _______ vertices

Answer: 20 sides 20 vertices

Question 12.

**DIG DEEPER!**

You draw an octagon and two pentagons. How many sides and vertices do you draw in all?

______ sides ______ vertices

Answer: 18 sides 18 vertices

### Describe Two-Dimensional Shapes Homework & Practice 15.1

Question 1.

______ sides

_______ vertices

Shape : _________

Answer: 6 sides

6 vertices

Shape: Irregular hexagon

Question 2.

______ sides

_______ vertices

Shape : _________

Answer: 5 sides

5 vertices

Shape: Irregular Pentagon

Question 3.

______ sides

_______ vertices

Shape : _________

Answer: 8 sides

8 vertices

Shape: Irregular Octagon

Question 4.

______ sides

_______ vertices

Shape : _________

Answer: 3 sides

3 vertices

Shape: Right angle Triangle

Question 5.

______ sides

_______ vertices

Shape : _________

Answer: 4 sides

4 vertices

Shape: Quadrilateral

Question 6.

______ sides

_______ vertices

Shape : _________

Answer: 5 sides

5 vertices

Shape: Irregular Pentagon

Question 7.

**Precision**

Describe the shape in 3 ways.

Answer: A 5 sided shape called Pentagon

It has 2 parallel sides

All sides are not equal.

Question 8.

**Modeling Real Life**

Draw a hexagon to make a dog’s body. Draw quadrilaterals for the head and tail. Draw two triangles for the ears.

Answer:

Question 9.

**DIG DEEPER!**

You draw a triangle and two hexagons. How many sides and vertices do you draw in all?

______ sides _______ vertices

Answer: 15 sides 15 vertices

**Review & Refresh**

Question 10.

You are building a 34-foot fence. You build 15 feet on Saturday and 13 feet on Sunday. How many feet are left to build?

______ feet

Answer: 6 feet are left to build

Explanation: Total 34 foot fence

15 feet on Saturday

13 feet on Sunday

15+13= 28 built

34-28= 6 feet left to build

### Lesson 15.2 Identify Angles of Polygons

**Explore and Grow**

Color the triangle blue. Color the quadrilateral red. Color the pentagon green. Color the hexagon orange.

Answer:

Which shape is not colored? How is it different from the other shapes?

________________________

________________________

________________________

Answer: Circle is not colored. Circle has no straight lines.

**Show and Grow**

Question 1.

_____ angles

How many right angles? ______

Shape: ______

Answer: 6 angles

2 right angles

Shape: Irregular hexagon

Question 2.

______ angles

How many right angles? ______

Shape: _______

Answer: 3 angles

1 right angles

Shape: Right angle triangle

Question 3.

_____ angles

How many right angles? ______

Shape: ______

Answer: 4 angles

4 right angles

Shape: Square

Question 4.

______ angles

How many right angles? ______

Shape : _______

Answer: 4 angles

No right angles

Shape: Trapezium

**Apply and Grow: Practice**

Question 5.

_____ angles

How many right angles? ______

Shape: ______

Answer: 3 angles

1 right angle

Shape: Right angle triangle

Question 6.

_____ angles

How many right angles? ______

Shape: ______

Answer: 5 angles

2 right angles

Shape: irregular pentagon

Question 7.

_____ angles

How many right angles? ______

Shape: ______

Answer: 8 angles

No right angle

Shape: Irregular Octagon

Question 8.

_____ angles

How many right angles? ______

Shape: ______

Answer: 4 angles

2 right angles

Shape: Irregular Quadrilateral

Question 9.

Draw and name a polygon with 6 angles.

________

Answer:

Question 10.

Draw and name a polygon with 2 right angles

_________

Answer:

Question 11.

**Writing**

Can you draw a polygon with 4 sides and 5 angles? Explain.

__________________

____________________

Answer: No, A polygon with 4 sides and 5 angles cannot be drawn as the number of sides and angles are always equal.

**Think and Grow: Modeling Real Life**

You are designing a road sign. The new sign must be a pentagon with only 2 right angles. Which signs might be yours?

Answer:

**Show and Grow**

Question 12.

You are making a sign for your lemonade stand. Your sign must be a quadrilateral with 4 right angles. Which signs might be yours?

Answer:

Question 13.

You draw 3 pentagons. How many angles do you draw in all?

______ angles

Answer: 15 angles

Question 14.

**DIG DEEPER!**

You draw a quadrilateral and three triangles. Your friend draws an octagon and a hexagon. Who draws more angles in all? How many more?

You Friend ______ more angles

Answer: I draw 13 angles in all. My friend draws 14 angles in all. Friend draws more angles in all with 1 more angle.

### Identify Angles of Polygons Homework & Practice 15.2

Question 1.

______ angles

How many right angles? ______

Shape: ______

Answer: 6 angles

2 right angles

Shape: Irregular hexagon

Question 2.

______ angles

How many right angles? _____

Shape: ______

Answer: 4 angles

4 right angles

Shape: Rhombus

Question 3.

______ angles

How many right angles? ______

Shape: ______

Answer: 8 angles

No right angles

Shape: Irregular octagon

Question 4.

_____ angles

How many right angles? ______

Shape: _______

Answer: 5 angles

1 right angle

Shape: Irregular pentagon

Question 5.

Draw and name a polygon with 4 sides and 1 right angle.

_______

Answer: Right Quadrilateral

Question 6.

Draw and name a polygon with 6 angles.

________

Answer: Hexagon

Question 7.

**DIG DEEPER!**

Draw two polygons that have 9 angles in all.

Answer: Triangle and Hexagon

Question 8.

**Modeling Real Life**

You are designing a company logo. Your logo must be a hexagon with 2 right angles. Which logos might be yours?

Answer:

Question 9.

**DIG DEEPER!**

You draw an octagon and two triangles. Your friend draws two quadrilaterals and a pentagon. Who draws more angles in all? How many more?

You Friend _______ more angles

Answer: You draw more angles. 1 angle more

You draw 14 angle in total, your friend draw 13 angle in total.

**Review & Refresh**

Draw to show the time.

Question 10.

Answer:

### Lesson 15.3 Draw Polygons

**Explore and Grow**

Compare the shapes.

Answer: Sqaure and right Quadrilateral

How are the shapes the same? How are they different?

_____________________

_____________________

_____________________

Answer: Both the shapes have 4 sides and 4 angles

They are different as length of the shapes are not equal.

**Show and Grow**

Question 1.

Draw a polygon with 6 sides. Two of the sides are the same length.

_______ angles

Polygon: ________

Answer: 6 angles

Polygon: Irregular Hexagon

Question 2.

Draw a polygon with 5 angles. One of the angles is a right angle.

______ sides

Polygon: ________

Answer: 5 sides

Polygon: Irregular Pentagon

**Apply and Grow: Practice**

Question 3.

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

______ sides

Polygon: _______

Answer: 3 sides

Right angle Triangle

Question 4.

Draw a polygon with 1 more side than a triangle. No sides are equal.

________ sides

Polygon: ______

Answer: 4 sides

Polygon: Irregular Quadrilateral

Question 5.

Draw a polygon with 4 fewer angles than an octagon. All sides are equal. All angles are right angles.

______ sides

Polygon: _______

Answer: 4 sides

Polygon: Square

Question 6.

Draw a polygon with 4 sides. Two pairs of sides are the same length.

______ angles

Polygon: ______

Answer: 4 angles

Polygon: Rectangle

Question 7.

**Precision**

Which is not a polygon with only 4 angles?

square rectangle rhombus

trapezoid pentagon quadrilateral

Answer: Pentagon

Explanation: Pentagon has 5 angles

**Think and Grow: Modeling Real Life**

You have 9 straws. You use all the straws to create two polygons. Draw two polygons you can create. Write the names of the polygons.

Polygon 1: ______ Polygon 2: _______

Answer: Polygon 1: Square Polygon 2: Pentagon

**Show and Grow**

Question 8.

You have 7 clay balls and some toothpicks. You create two polygons using the clay balls as vertices and the toothpicks as sides. Draw two polygons you can create. Write the names of the polygons.

Polygon 1: ______ Polygon 2: _______

Answer: Polygon 1: Triangle Polygon 2: Rhombus

Question 9.

**DIG DEEPER!**

You draw two different polygons. One of the polygons is a pentagon. You draw 11 sides in all. Draw a possible shape for your other polygon. Write the name of the polygon.

Polygon: _______

Answer: Polygon: Hexagon

### Draw Polygons Homework & Practice 15.3

Question 1.

Draw a polygon with 4 angles. There are no right angles. No sides are equal.

______ sides

Polygon: _______

Answer: 4 sides

Polygon: Trapezoid

Question 2.

Draw a polygon with 8 sides. Two of the angles are right angles.

_____ angles

Polygon: ______

Answer: 8 angles

Polygon: Irregular octagon

Question 3.

Draw a polygon with 2 more angles than a quadrilateral. Two of the angles are right angles.

______ sides

Polygon: _______

Answer: 6 sides

Polygon: Irregular hexagon

Question 4.

Draw a polygon with 3 fewer sides than an octagon.

_____ angles

Polygon: _____

Answer: 5 angles

Polygon: Pentagon

Question 5.

**Patterns**

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

Name the third shape. ________

Answer: Octagon

Question 6.

**Modeling Real Life**

You have 9 apples and some sticks. You create two polygons using the apples for vertices and the sticks for sides. Draw two polygons you can create. Write the names of the polygons.

Polygon 1: ______ Polygon 2: ________

Answer: Polygon 1: Sqaure Polygon 2: Pentagon

Question 7.

**DIG DEEPER!**

You draw two different polygons. One of the polygons is an octagon. You draw 14 sides in all. Draw a possible shape for your other polygon. Write the name of the polygon.

Polygon: ________

Answer: Polygon: Hexagon

**Review & Refresh**

Question 8.

How many more students chose math than science? _____

Answer: 5 Students

### Lesson 15.4 Identify and Draw Cubes

**Explore and Grow**

Draw an X on the shapes with curved surfaces. Circle the remaining shape with flat surfaces that are all the same.

Name the shape you circled.

Answer: Cube, Cuboid

**Show and Grow**

Question 1.

_____ faces

______ vertices

______ edges

Is it a cube? Yes No

Answer: 6 faces

8 vertices

12 edges

Yes, it is a cube

Question 2.

____ faces

_____ vertices

_______ edges

Is it a cube? Yes No

Answer: 6 faces

8 vertices

12 edges

No, it is not a Cube

Question 3.

Use the dot paper to draw a cube.

Answer:

**Apply and Grow: Practice**

Question 4.

Which shapes are cubes?

Answer:

Question 5.

Use the dot paper to draw a cube.

Answer:

Question 6.

How many faces do two cubes have in all?

______ faces

Answer: 12 faces

Question 7.

**Structure**

Which two-dimensional shape makes up a cube? Name the shape.

A cube is made up of ______.

Answer: A cube is made up of Sqaure.

**Think and Grow: Modeling Real Life**

You make a ballot box for a school election. Your box is in the shape of a cube. Each face of the ballot box is a different color. How many colors do you use?

_____ colors

Answer: 6 colors

Explanation: Cube has 6 faces, So 6 different colors will be used.

**Show and Grow**

Question 8.

You construct a cube. You use clay balls for the vertices and straws for the edges. How many clay balls do you make? How many straws do you use?

______ clay balls _____ straws

Answer: 8 clay balls 12 straws

Question 9.

The faces of the number cube are numbered, starting with 1. Draw and label all the faces of the number cube.

Answer:

Question 10.

**DIG DEEPER!**

You have 48 toothpicks and 32 grapes. You use all of the materials to make cubes using the toothpicks as edges and the grapes as vertices. How many cubes do you make?

_____ cubes

Answer: 4 cubes

### Identify and Draw Cubes Homework & Practice 15.4

Question 1.

_____ faces

______ vertices

______ edges

Is it a cube? Yes No

Answer: 6 faces

8 vertices

12 edges

No, it is not a cube.

Question 2.

_____ faces

______ vertices

______ edges

Is it a cube? Yes No

Answer: 6 faces

8 vertices

12 edges

Yes, it is a cube

Question 3.

Use the dot paper to draw a cube.

Answer:

Question 4.

How many vertices do two cubes have in all?

_____ vertices

Answer: 16 vertices

Question 5.

**YOU BE THE TEACHER**

Newton says the cube has 3 faces. Is he correct? Explain.

___________________

____________________

Answer: Cube has 6 faces

Question 6.

**Modeling Real Life**

You construct a cube. You use marshmallows for the vertices and pretzel rods for the edges. How many marshmallows do you use? How many pretzel rods do you use?

_______ marshmallows ________ pretzel rods

Answer: 8 marshmallows 12 pretzel rods

Question 7.

**DIG DEEPER!**

You have 24 cotton balls and 36 toothpicks. You use all of the materials to make cubes using the cotton balls as vertices and the toothpicks as edges. How many cubes do you make?

______ cubes

Answer: 3 cubes

**Review & Refresh**

Question 8.

43 − 5 = ____

Answer: 38

Question 9.

62 − 6 = _____

Answer: 56

Question 10.

______ = 41 − 4

Answer: 37

Question 11.

______ = 44 − 7

Answer: 37

### Lesson 15.5 Compose Rectangles

**Explore and Grow**

How many square tiles do you need to cover the rectangle?

_____ squares

Answer:

Write an equation to match your model.

Answer:

**Show and Grow**

Question 1.

Use square tiles to cover the rectangle. Draw to show your work.

Complete the statements.

Add by rows:

_____ + _____ + = ______

Add by columns: _____ + _____ = ______

Total square tiles: _______

Answer:

**Apply and Grow: Practice**

Question 2.

Use square tiles to cover the rectangle. Draw to show your work.

Complete the statements.

Add by rows: _____ + ____ + _____ = ______

Add by columns: ____ + _____ + _____ + ____ + _____ = ______

Total square tiles: ______

Answer:

Question 3.

**Precision**

Divide the rectangle into 6 equal parts.

Answer:

**Think and Grow: Modeling Real Life**

You use foam mats to cover the entire floor of a square room. You fit 4 mats across one side of the room. How many rows and columns of mats will you have?

_____ rows _____ columns

How many foam mats do you use to cover the entire floor?

Addition equation:

______ foam mats

Answer: 4 rows 4 columns

16 foam mats

**Show and Grow**

Question 4.

You use square tiles to cover the floor of a square room. You fit 5 tiles across one side of the room. How many rows and columns of tiles will you have?

_____ rows _____ columns

**DIG DEEPER!**

How many tiles do you use to cover the entire floor?

_____ tiles

Answer: 5 rows 5 columns

25 tiles

### Compose Rectangles Homework & Practice 15.5

Question 1.

Use square tiles to cover the rectangle. Draw to show your work.

Complete the statements.

Add by rows: _____ = _____

Total square tiles: ______

Add by columns:

_____ + _____ + _____ + _____ + ______ + _____ = _____

Answer:

Question 2.**Writing**

Newton wants to cover the rectangle with square tiles. Explain what he is doing wrong.

__________________

____________________

Answer: The Square titles are not arranged properly in the rectangle.

Question 3.

**Modeling Real Life**

You use square glass tiles to make a square mosaic picture. You fit 6 tiles across one side of the picture. How many rows and columns of tiles will you have?

______ rows _______ columns

Answer: 6 rows 6 columns

**DIG DEEPER!**

How many glass tiles do you use to cover the entire picture?

______ glass tiles

Answer: 36 glass tiles

**Review & Refresh**

Question 4.

Circle a.m. or p.m.

Answer:

### Lesson 15.6 Identify Two, Three, or Four Equal Shares

**Explore and Grow**

Sort the Equal Share Cards.

Answer:

**Show and Grow**

Circle the shape that shows halves.

Question 1.

Answer:

Circle the shape that shows thirds.

Question 3.

Answer:

**Circle the shape that shows fourths.**

Question 5.

Answer:

**Apply and Grow: Practice**

Question 7.

Which shapes show halves?

Answer:

Question 8.

Which shapes show thirds?

Answer:

Question 9.

Which shapes show fourths?

Answer:

Question 10.

Color a third of the shape.

Answer:

Question 11.

Color half of the shape.

Answer:

Question 12.

Color a fourth of the shape.

Answer:

Question 13.

**YOU BE THE TEACHER**

Newton says the shape shows fourths. Is he correct? Explain.

________________________

_________________________

Answer: No The shape doesnot shows fourths. The square is not divided into equal parts.

**Think and Grow: Modeling Real Life**

You want to play 3 games in the pool. Each game needs an equal share of the pool. Show how you could divide the pool.

Answer:

**Show and Grow**

Question 14.

2 friends are making crafts. Each friend wants an equal share of the table. Show how the friends could divide the table.

Answer:

Question 15.

You and 3 friends want to share the piece of watermelon. Show how to cut the piece of watermelon so you and your friends each get an equal share.

How did you know how many equal shares to cut?

__________________

__________________

Answer:

### Identify Two, Three, or Four Equal Shares Homework & Practice 15.6

Question 1.

Which shapes show halves?

Answer:

Question 2.

Which shapes show thirds?

Answer:

Question 3.

Which shapes show fourths?

Answer:

Question 4.

Color a third of the shape.

Answer:

Question 5.

Color half of the shape.

Answer:

Question 6.

Color a fourth of the shape.

Answer:

Question 7.

**Patterns**

Draw what comes next.

Answer:

Question 8.

**Modeling Real Life**

Newton and Descartes share a bedroom. Show how they could divide their room into equal shares.

Answer:

Question 9.

**Modeling Real Life**

You and 2 friends are making a poster. Each friend wants an equal share of the poster. Show how the friends could divide the poster.

How did you know how many equal shares you need?

**Review & Refresh**

Question 10.

A pen is 16 centimeters tall. A pen holder is 11 centimeters tall. How much taller is the pen than the pen holder?

________ centimeters

Answer: 5 centimeters

Explanation: 16-11 = 5

### Lesson 15.7 Partition Shapes into Equal Shares

**Explore and Grow**

Which pattern blocks can you use to model equal shares of the hexagon?

Answer:

**Show and Grow**

Draw lines to show equal shares. Complete the sentences.

Question 1.

Each share is a _______ of the whole.

The whole is _______.

Answer:

Question 2.

Each share is a _______ of the whole.

The whole is ______.

Answer:

**Apply and Grow: Practice**

Question 3.

Draw lines to show equal shares. Complete the sentences.

Each share is a ______ of the whole.

The whole is ________.

Answer:

Draw lines to show equal shares. Which word describes the parts?

Question 4.

Answer: Fourths

Question 5.

Answer: Thirds

Question 6.

Answer: Halves

Question 7.

Answer: Thirds

Question 8.

**Precision**

Draw lines to show thirds. Color 3 thirds.

Answer:

**Think and Grow: Modeling Real Life**

You have 2 towels that are the same size. Half of one towel is green. A fourth of the other towel is yellow. Is the green share or the yellow share larger? Explain.

Draw to show:

Which share is larger? Green share Yellow share

________________________

________________________

Answer:

Green share

Explanation: First towel is divided into halves and other towel is divided into fourths, So halves is larger than fourths.

**Show and Grow**

Question 9.

You have 2 rugs that are the same size. A fourth of one rug is red. A third of the other rug is blue. Is the red share or the blue share smaller? Explain.

________________________

________________________

Answer:

The red share is smaller as it is divided into 4 parts.

### Partition Shapes into Equal Shares Homework & Practice 15.7

Draw lines to show equal shares. Complete the sentences.

Question 1.

Each share is a ______ of the whole.

The whole is ______.

Answer:

Question 2.

Each share is a _______ of the whole.

The whole is _____.

Answer:

Draw lines to show equal shares. Complete the sentences.

Question 3.

Each share is a ______ of the whole.

The whole is _______.

Answer:

Question 4.

**Logic**

Complete the sentences.

1 whole is ______ halves.

1 whole is ______ thirds.

1 whole is ______ fourths.

Answer: 1 whole is 2 halves.

1 whole is 3 thirds.

1 whole is 4 fourths.

Question 5.

**Structure**

Does the shape show thirds? Explain.

Answer: No, The circle is not divided into 3 equal parts.

Question 6.

**Modeling Real Life**

You have 2 blankets that are the same size. A third of one blanket is yellow. A half of the other blanket is purple. Is the yellow share or the purple share smaller? Explain.

_____________________

_____________________

Answer: The Yellow Share is smaller as the blanket is divided into 3 parts whereas, the purple share is divided into 2 parts.

**Review & Refresh**

Question 7.

150 + 610 = ______

Answer: 760

Question 8.

553 + 250 = ______

Answer: 803

### Lesson 15.8 Analyze Equal Shares of the Same Shape

**Explore and Grow**

Color the squares that show equal shares.

Answer:

How are the squares you colored the same? How are they different?

________________________

________________________

________________________

Answer: No, the squares colored are not same because all are differently divided.

**Show and Grow**

Question 1.

Draw lines to show halves in two different ways. Color one-half of each circle.

Think: How are the halves of each circle the same? How are they different?

Answer:

The Circle are divided into 2 parts. The colored part are not same because all are differently divided.

Question 2.

Draw lines to show thirds in two different ways. Color one-third of each rectangle.

Think: How are the thirds of each rectangle the same? How are they different?

Answer:

The Rectangle are divided into 3 parts. The colored part are not same because all are differently divided.

**Apply and Grow: Practice**

Question 3.

Draw lines to show fourths two different ways. Color one-fourth of each circle.

Answer:

Question 4.

Draw lines to show thirds two different ways. Color one-third of each square.

Answer:

Question 5.

Draw lines to show halves two different ways. Color one-half of each rectangle.

Answer:

Question 6.

**DIG DEEPER!**

Explain how you know each color is a fourth of the whole square.

________________________

________________________

_________________________

Answer:

**Think and Grow: Modeling Real Life**

You and your friend each cut a sandwich into fourths different ways. The sandwiches are the same size. Show how you and your friend can cut the sandwiches.

Answer:

**Show and Grow**

Question 7.

You, Newton, and Descartes each cut a granola bar into halves different ways. The granola bars are the same size. Show how you, Newton, and Descartes can cut the granola bars.

Answer:

Question 8.

**DIG DEEPER!**

There are 2 pizzas that are the same size. 6 friends each want an equal share of the pizzas. Should the pizzas be cut into halves, thirds, or fourths? Explain.

Answer:

The Pizzas should be cut into thirds as there are 2 pizzas, if one pizza is cut into 3 equal parts and other pizza as 3 equal parts then there is total 6 pieces for 6 friends.

### Analyze Equal Shares of the Same Shape Homework & Practice 15.8

Question 1.

Draw lines to show fourths two different ways. Color one-fourth of each rectangle.

Think: How are the fourths of each rectangle the same? How are they different?

Answer:

Question 2.

Draw lines to show thirds two different ways. Color one-third of each circle.

Answer:

Question 3.

**Reasoning**

Descartes says there are only two ways to divide a rectangle into 3 equal shares. Is he correct? Explain.

Answer:Yes. Descartes is correct. the rectangle can be divided equally horizontally and vertically.

Question 4.

**Modeling Real Life**

You and your friend each cut a loaf of bread into thirds different ways. The loaves of bread are the same size. Show how you and your friend can cut the loaves of bread.

Answer:

Question 5.

**DIG DEEPER!**

There are 2 quesadillas that are the same size. 8 friends each want an equal share of the quesadillas. Should the quesadillas be cut into halves, thirds, or fourths? Explain.

Answer: Fourths

Explanation: There are 2 quesadillas. It can be cut into fourths So, it will be 8 parts in total and given to 8 friends equally.

**Review & Refresh**

Question 6.

841 − 603 = _____

Answer: 238

Question 7.

439 − 210 = _______

Answer: 229

### Identify and Partition Shapes Performance Task

You paint a square suncatcher in art class.

Question 1.

You paint each shape a different color. Color to show how you paint the sun catcher.

a. Each triangle is red.

b. Each octagon is orange.

c. Each pentagon with more than 1 right angle is yellow.

d. The rest of the pentagons are green.

e. Each shape with 6 angles is blue.

f. Each quadrilateral with all right angles is purple.

g. The rest of the quadrilaterals are pink.

Answer:

Question 2.

The length of one side of the suncatcher is 12 inches. What are the lengths of the other sides?

______ inches

Answer: 12 inches

Question 3.

Your friend paints a rectangular suncatcher.

a. What share of your friend’s design is blue? _______

b. What share of your friend’s design is orange or yellow? ________

Answer: a. second

b. third or fourth

### Identify and Partition Shapes Activity

**Three In a Row: Equal Shares**

To Play: Players take turns. On your turn, spin the spinner. Cover a square that matches your spin. Continue playing until a player gets three in a row.

### Identify and Partition Shapes Chapter Practice

**15.1 Describe Two-Dimensional Shapes**

Question 1.

______ sides

_____ vertices

Shape: ______

Answer: 6 sides

6 vertices

Shape: Irregular hexagon

Question 2.

______ sides

_____ vertices

Shape: ______

Answer: 5 sides

5 vertices

Shape: Irregular pentagon

Question 3.

**Modeling Real Life**

You draw three quadrilaterals and an octagon. How many sides and vertices do you draw in all?

______ sides ______ vertices

Answer: 20 sides 20 vertices

**15.2 Identify Angles of Polygons**

Question 4.

______ angles

How many right angles? ______

Shape: ______

Answer: 5 angles

2 right angles

Shape: Irregular pentagon

Question 5.

______ angles

How many right angles? ______

Shape: ______

Answer: 6 angles

2 right angles

Shape: Irregular hexagon

Question 6.

Draw and name a shape with 2 right angles.

________

Answer: Pentagon

**15.3 Draw Polygons**

Question 7.

Draw a polygon with 4 angles. All sides are equal length.

______ sides

Polygon: _______

Answer: 4 sides

Polygon: Square

Question 8.

Draw a polygon with 5 sides. Two of the angles are right angles.

______ angles

Polygon: ________

Answer: 5 angles

Polygon: Pentagon

**15.4 Identify and Draw Cubes**

Question 9.

______ faces

______ vertices

______ edges

Is it a cube? Yes No

Answer: 6 faces

8 vertices

12 edges

Yes it is cube.

Question 10.

______ faces

______ vertices

______ edges

Is it a cube? Yes No

Answer: 6 faces

8 vertices

12 edges

No it is not cube.

Question 11.

Use the dot paper to draw a cube.

Answer:

**15.5 Compose Rectangles**

Question 12.

Use square tiles to cover the rectangle. Draw to show your work.

Complete the statements.

Add by rows:

_____ + _____ = ______

Add by columns:

_____ + _____ = _______

Total square tiles: _______

Answer:

**15.6 Identify Two, Three, or Four Equal Shares**

Question 13.

Which shapes show halves?

Answer:

Question 14.

Which shapes show thirds?

Answer:

Question 15.

Which shapes show fourths?

Answer:

**15.7 Partition Shapes into Equal Shares**

**Draw lines to show equal parts. Complete the sentences.**

Question 16.

Each share is a ______ of the whole.

The whole is ______.

Answer:

Question 17.

Each share is a ______ of the whole.

The whole is _____.

Answer:

Question 18.

Each share is a ______ of the whole.

The whole is _____.

**15.8 Analyze Equal Shares of the Same Shape**

Question 19.

**Modeling Real Life**

There are 3 bagels that are the same size. 6 friends each want an equal share of the bagels. Should the bagels be cut into halves, thirds, or fourths? Explain.

__________________

___________________

Answer:

Explanation: 3 bagels cut into Halves will be 6 bagels.

### Identify and Partition Shapes Cumulative Practice

Question 1.

Your bed is 39 inches long. Your comforter is 66 inches long. How much longer is the comforter than the bed?

Answer:

Question 2.

Find each difference.

700 – 465 = _____

910 – 186 = _______

302 – 176 = ______

Answer: 700 – 465 = 235

910 – 186 = 724

302 – 176 = 126

Question 3.

A dog park is 48 yards long. Your dog enters the park and runs 29 yards. You run 13 yards. How far is your dog from the other end of the park?

Answer:

Explanation: 29+13=42

48-42=6 yards

Question 4.

Which shapes show thirds?

Answer:

Question 5.

The girls’ soccer team raises $237. The boys’ soccer team raises $113 more. How much money do both teams raise in all?

Answer:

Explanation: 237+113=350

Question 6.

Complete the bar graph.

What mascot got the most votes? _______

How many more votes did Warrior get than Tiger? ______

Answer: Knight

3 more votes Warrior get than Tiger.

Question 7.

Count on to find the total value.

Answer: Total value: 91

Question 8.

Which expressions have a difference of 34?

Answer:

Question 9.

Complete the line plot. Then choose all of the statements that are true.

Answer:

Question 10.

Which clock shows 10:40?

Answer:

Question 11.

The phone is about 12 centimeters long. What is the best estimate for the length of the tablet?

Answer:

Question 12.

______ sides

_______ vertices

Shape: _____

Answer: 6 sides

6 vertices

Shape: Irregular hexagon

Question 13.

______ sides

_______ vertices

Shape: _______

Answer: 5 sides

5 vertices

Shape: pentagon