# Go Math Grade 2 Answer Key Chapter 11 Geometry and Fraction Concepts

Students who want to learn the fundamentals in Geometry and Fractions are suggest to go through the Go Math Grade 2 Answer Key Chapter 11 Geometry and Fraction Concepts. In this page we have provided the step by step expplanation for all the problems. Free Download pdf of Go Math 2nd Grade Chapter 11 Solution Key Geometry and Fraction Concepts is available here.

## Go Math Grade 2 Chapter 11 Answer Key Geometry and Fraction Concepts

Quick and easy learning is possible with our Go Math Grade 2 Answer Key Chapter 11 Geometry and Fraction Concepts. We have covered all the topics as per the latest syllabus. The topics covered in Go Math Grade 2 Chapter 11 Answer Key Geometry and Fraction Concepts are Three-Dimensional Shapes, Attributes of Three-Dimensional Shapes, Partition Rectangles and so on. All you have to do is to click on the below attached links and start solving the problems.

Geometry and Fraction Concepts

Lesson: 1 Three-Dimensional Shapes

Lesson: 2 Attributes of Three-Dimensional Shapes

Lesson: 3 Build Three-Dimensional Shapes

Lesson: 4 Two-Dimensional Shapes

Lesson: 5 Angles in Two-Dimensional Shapes

Lesson: 6 Sort Two-Dimensional Shapes

Lesson: 7 Partition Rectangles

Mid-Chapter Checkpoint

Lesson: 8 Equal Parts

Lesson: 9 Show Equal Parts of a Whole

Lesson: 10 Describe Equal Parts

Lesson: 11 Problem Solving • Equal Shares

Review/Test

### Geometry and Fraction Concepts Show What You Know

Equal Parts
Circle the shape that has two equal parts.
Question 1.

Question 2.

Identify Three-Dimensional Shapes
Question 3.

Question 4.

Identify Shapes
Circle all the shapes that match the shape name.
Question 5.
triangle

Question 6.
rectangle

### Geometry and Fraction Concepts Vocabulary Builder

Visualize It
Draw pictures to complete the graphic organizer.

Understand Vocabulary
Draw a shape to match the shape name.

### Geometry and Fraction Concepts Game: Count the Sides

2. Look for a shape that has the same number of sides as the number you tossed.
3. Put one of your counters on that shape.
4. Take turns. Cover all the shapes. The player with more counters on the board wins.

### Geometry and Fraction Concepts Vocabulary Game

Going to a Balloon Race

The Write Way
Reflect
Choose one idea. Write about it in the space below.

• Draw and write about all of the words. Use a separate piece of paper for your drawings. face edge vertex
• Choose one of these shapes. Write three things you know about it. quadrilateral pentagon hexagon
• Explain how you know the difference between halves, thirds, and fourths. Draw pictures on a separate piece of paper if you need to.

### Lesson 11.1 Three-Dimensional Shapes

Essential Question What objects match three-dimensional shapes?

Listen and Draw
Draw a picture of an object with the same shape shown.

Drawn a picture of an object with the same shape shown.

MATHEMATICAL PRACTICES

Appy Describe how the shapes are alike.
Describe how they are different.
Two figures are said to be similar if they are the same shape. In more mathematical language, two figures are similar if their corresponding angles are congruent, and the ratios of the lengths of their corresponding sides are equal.

Share and Show
Circle the objects that match the shape name.
Question 1.
sphere

Question 2.
cube

Circle the objects that match the shape name.
Question 3.
cylinder

Question 4.
rectangular prism

Question 5.
cone

Question 6.
GO DEEPER
Julio used cardboard squares as the flat surfaces of a cube. How many squares did he use?
______ squares
Explanation: Julio used cardboard squares as the flat surfaces of a cube. How many squares did he used 6 squares

Question 7.
THINK SMARTER
Circle the shapes that have a curved surface. Draw an X on the shapes that do not have a curved surface.

Problem Solving • Applications
Question 8.
Make Connections
Reba traced around the bottom of each block. Match each block with the shape Reba drew.

Question 9.
THINK SMARTER
Match the shapes.

TAKE HOME ACTIVITY • Ask your child to name an object that has the shape of a cube

### Three-Dimensional Shapes Homework & Practice 11.1

Circle the objects that match the shape name.
Question 1.
cube

Question 2.
cone

Question 3.
rectangular prism

Problem Solving
Question 4.
Lisa draws a circle by tracing around the bottom of a block. Which could be the shape of Lisa’s block? Circle the name of the shape.
cone cube rectangular prism
Answer: A cone, or a cylinder, Since the bottom of each 3D object is a circle compared to 2D it is a circle.

Question 5.
WRITE
Describe one way that a cube and a cylinder are alike. Describe one way they are different.
Same: Cude and a cylinder both alike as they are 3D shapes.
Different: A cube has vertices. where a cylinder doesn’t have any vertices.

Lesson Check
Question 1.
What is the name of this shape?

_______
Explanation:
a cube is a three-dimensional solid object bounded by six square faces, facets, or sides, with three meetings at each vertex.
The cube is the only regular hexahedron and is one of the five Platonic solids. It has 6 faces, 12 edges, and 8 vertices

Question 2.
What is the name of this shape?

______
Explanation:
A cone is a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the apex or vertex

Spiral Review
Question 3.
The string is about 6 centimeters long. What is a reasonable estimate for the length of the crayon?

_____ centimeters

Question 4.
What is the total value of this group of coins?

______
Explanation:
By observing given picture we get penny nickel and dime
10 cents + 5 cents +  1 cent = 16 cents

Question 5.
What time is shown on this clock?

_______

### Lesson 11.2 Attributes of Three-Dimensional Shapes

Essential Question How would you describe the faces of a rectangular prism and the faces of a cube?

Listen and Draw
Circle the cones. Draw an X on the sphere.

MATHEMATICAL PRACTICES
Name the other shapes on this page. Describe how they are different.
Other common shapes are points, lines, planes, and conic sections such as ellipses, circles, and parabolas. Among the most common 3-dimensional shapes are polyhedra, which are shapes with flat faces; ellipsoids, which are egg-shaped or sphere-shaped objects, cylinder,s and cones.

Share and Show

Write how many for each.
Question 1.

Question 2.

Question 3.
GO DEEPER
Use dot paper. Follow these steps to draw a cube.

Question 4.
THINK SMARTER
Trace all the faces of a rectangular prism on a sheet of paper. Write to tell about the shapes that you drew.

a type of prism (a three-dimensional shape where the cross-section indicates the type of prism — so a triangular prism would have a triangular cross-section, a rectangular prism would have a rectangular cross-section, a square prism would have a square cross-section, and so on). “Cross-section” is just a fancy way of saying slicing the object like you would a loaf of bread — each “slice” of a prism is identical.

Problem Solving • Applications
Question 5.
Make Connections
Marcus traced around the faces of a three-dimensional shape. Circle the name of the shape he used.

Question 6.
THINK SMARTER
Use the words on the tiles to label the parts of the cube.

Describe the faces of a cube.
___________________
___________________

A cube is a 3D shape
Cube has 6 faces
All the 6 faces are of equal dimensions

TAKE HOME ACTIVITY • Have your child tell you about the faces on a cereal box or another kind of box.

### Attributes of Three-Dimensional Shapes Homework & Practice 11.2

Circle the set of shapes that are the faces of the three-dimensional shape.
Question 1.

Question 2.

Problem Solving
Question 3.
Kevin keeps his marbles in a container that has the shape of a cube. He wants to paint each face a different color. How many different paint colors does he need?
______ different paint colors

Question 4.
WRITE
Describe a cube. Use the words, faces, edges, and vertices in your description.
______________________
______________________
Answer: A cube is a three-dimensional solid object
Cube contains of 6 faces,12 edegs and 8 vertices.
One best elample of a cube is dies.

Lesson Check
Question 1.
How many faces does a cube have?

______ faces
a cube is a three-dimensional solid object bounded by six square faces, facets, or sides, with three meetings at each vertex.
The cube is the only regular hexahedron and is one of the five Platonic solids. It has 6 faces, 12 edges, and 8 vertices

Question 2.
How many faces does a rectangular prism have?

________ faces
A rectangular prism has 8 vertices, 12 sides, and 6 rectangular faces. All the opposite faces of a rectangular prism are equal.
A rectangular prism has a rectangular cross-section.

Spiral Review
Question 3.
What time is shown on this clock?

Question 4.
Circle the cone.

Question 5.
Use the line plot. How many books are 8 inches long?

Explanation: by observing the line plot there are 2 books

### Lesson 11.3 Build Three-Dimensional Shapes

Essential Question How can you build a rectangular prism?

Listen and Draw
Circle the shapes with curved surfaces. Draw an X on the shapes with flat surfaces.

HOME CONNECTION • Your child sorted the shapes on this page using the attributes of the shapes.

MATHEMATICAL PRACTICES

Name the shapes you drew an X on. Describe how they are different.
Answer: The shapes with X on them are cube and rectangular prism.
Both cube and rectangular prism has equal number of faces, edegs and vetrices.
The cube and rectangular prism are diffrent from other shapes because they have edegs and vertices where as cone cylinder and sphere doesnt.

Share and Show
Build a rectangular prism with the given number of unit cubes. Shade to show the top and front views.
Question 1.
9 unit cubes

Question 2.
16 unit cubes

Build a rectangular prism with the given number of unit cubes. Shade to show the top and front views.
Question 3.
24 unit cubes

Question 4.
THINK SMARTER
The top, side, and front views of a rectangular prism are shown. Build the prism. How many unit cubes are used to build the solid?

__________ unit cubes

Question 5.
Analyze
Jen uses 18 cubes to build a rectangular prism. The top and front views are shown. Shade to show the side view.

Problem Solving • Applications
Solve. Write or draw to explain.
Question 6.
GO DEEPER
Tomas built this rectangular prism. How many unit cubes did he use?

_____ cubes
Explanation: Tomas built this rectangular prismhe used 24 unit cubes

Question 7.
Look for Structure
Theo builds the first layer of a rectangular prism using 4 cubes. He adds 3 more layers of 4 cubes each. How many cubes are used for the prism?
______ cubes

Explanation:
Theo builds the first layer of a rectangular prism using 4 cubes. He adds 3 more layers of 4 cubes each. cubes are used for the prism are
24  cubes

Question 8.
THINK SMARTER
Tyler built this rectangular prism using unit cubes. Then he took it apart and used all of the cubes to build two new prisms. Fill in the bubble next to the two prisms he built.

TAKE HOME ACTIVITY • Ask your child to show how he or she solved an exercise in the lesson.

### Build Three-Dimensional Shapes Homework & Practice 11.3

Build a rectangular prism with the given number of unit cubes. Shade to show the top and front views.
Question 1.

Problem Solving
Solve. Write or draw to explain.
Question 2.
Rosie built this rectangular prism. How many unit cubes did she use?
_____ unit cubes

Explanation:
Rosie built this rectangular prism he used 16 cubes

Question 3.
WRITE
Build a rectangular prism using cubes. Then, draw in your journal the top, side, and bottom views of your prism.

Lesson Check
Question 3.
Milt builds the first layer of a rectangular prism using 3 cubes. He adds 2 more layers of 3 cubes each. How many cubes are used for the prism?
_____ cubes

Explanation:
Given Milt builds the first layer of a rectangular prism using 3 cubes. He adds 2 more layers of 3 cubes each.
then we get 9 cubes

Question 4.
Thea builds the first layer of a rectangular prism using 4 cubes. Raj adds 4 more layers of 4 cubes each. How many cubes are used for the prism?
_____ cubes

Explanation:
Given Thea builds the first layer of a rectangular prism using 4 cubes. Raj adds 4 more layers of 4 cubes each.
then we get 12 cubes.

Spiral Review
Question 5.
Patti’s dance class will meet for 1 year. Her art class will meet for 32 weeks. Which is the greater amount of time?
___________
As 1 year=356 days/366 days(leap year)=52 weeks which is more than 32 weeks.
Explanation:
Given Patti’s dance class will meet for 1 year. Her art class will meet for 32 weeks
Dance class
As 1 year=356 days/366 days(leap year)=52 weeks which is more than 32 weeks.

Question 6.
A large pack has 512 beads. A small pack has 346 beads. Estimate how many more beads the large pack has than the small pack.
Explanation:
Given A large pack has 512 beads. A small pack has 346 beads
There are 166 more beads the large pack has than the small pack.

Use the bar graph.

Question 7.
Which kind of fruit got the fewest votes?
_______

Question 8.
How many more votes did grape get than apple?

### Lesson 11.4 Two-Dimensional Shapes

Essential Question What shapes can you name just by knowing the number of sides and vertices?

Listen and Draw
Use a ruler. Draw a shape with 3 straight sides. Then draw a shape with 4 straight sides.

MATHEMATICAL PRACTICES
Describe how your shapes are different from the shapes a classmate drew.

Share and Show

Write the number of sides and the number of vertices.
Question 1.
triangle

_____ sides
______ vertices
3 sides
3 vertices
A triangle is a polygon with three sides and three vertices.

Question 2.
hexagon

_____ sides
______ vertices
6 sides
6 vertices
a hexagon can be defined as a polygon with six sides. The two-dimensional shape has 6 sides, 6 vertices, and 6 angles.

Question 3.
pentagon

_____ sides
______ vertices
5 sides
5 vertices
A pentagon has five straight sides and five vertices (corners). It has five angles inside it that add up to 540°

Write the number of sides and the number of vertices. Then write the name of the shape.
Question 4.

_____ sides
______ vertices
_______
6 sides
6 vertices
Hexagon
a hexagon can be defined as a polygon with six sides. The two-dimensional shape has 6 sides, 6 vertices and 6 angles

Question 5.

4 sides
4 vertices
Square
A square has 4 sides and 4 vertices. All the sides of a square are equal in length. All interior angles are equal and right angles.

Question 6.

4 sides
4 vertices
A quadrilateral has 4 sides, 4 angles and 4 vertices. A quadrilateral can be regular or irregular

Question 7.

3 sides
3 vertices
Triangle
A triangle is a polygon with three edges and three vertices.

Question 8.

5 sides
5 vertices
Pentagon
A pentagon has five straight sides and five vertices (corners).

Question 9.

4 sides
4 vertices
A quadrilateral has 4 sides, 4 angles and 4 vertices. A quadrilateral can be regular or irregular

GO DEEPER
Draw more sides to make the shape.
Question 10.
pentagon

Question 11.

Question 12.
hexagon

Problem Solving • Applications

Solve. Draw or write to explain.
Question 13.
THINK SMARTER
Alex draws a hexagon and two pentagons. How many sides does Alex draw altogether?

Question 14.
Use Diagrams
Ed draws a shape that has 4 sides. It is not a square. It is not a rectangle. Draw a shape that could be Ed’s shape.

Question 15.
THINK SMARTER
Count the sides and vertices of each two-dimensional shape. Draw each shape where it belongs in the chart.

### Two-Dimensional Shapes Homework & Practice 11.4

Write the number of sides and the number of vertices. Then write the name of the shape.
Question 1.

______ sides
_______ vertices
The above figure shows that there are:
3 sides
3 vertices
Triangle
A triangle is a polygon with three edges and three vertices.

Question 2.

______ sides
_______ vertices
The above figure shows that there are:
6 sides
6 vetrices.
Hexagon
a hexagon can be defined as a polygon with six sides.

Question 3.

______ sides
_______ vertices
The above figure shows that there are:
5 sides
5 vertices
Pentagon
A pentagon has five straight sides and five vertices (corners). It has five angles inside

Problem Solving
Solve. Draw or write to explain.
Question 4.
Oscar is drawing a picture of a house. He draws a pentagon shape for a window. How many sides does his window have?
______ sides

Question 5.
WRITE
Draw and label a pentagon and a quadrilateral.

Lesson Check
Question 1.
How many sides does a hexagon have?

_____ sides
By seeing the above figure we can say that the hexagon contains 6 sides.
a hexagon can be defined as a polygon with six sides

Question 2.
How many vertices does a quadrilateral have?

______ vertices
Answer: By seeing the above figure we can say that the 4 vertices.
A quadrilateral has 4 sides, 4 angles and 4 vertices

Spiral Review
Question 3.
Use a centimeter ruler. What is the length of the ribbon to the nearest centimeter?

Question 4.
Look at the picture graph. How many more children chose apples than oranges?

______ children

### Lesson 11.5 Angles in Two-Dimensional Shapes

Essential Question How do you find and count angles in two-dimensional shapes?

Listen and Draw
Use a ruler. Draw two different triangles. Then draw two different rectangles.

MATHEMATICAL PRACTICES
Describe a triangle and a rectangle. Tell about their sides and vertices.
Triangle is a 3 faced shape with 3 sides and 3 vertices.
The rectangle is a 4 faces shape with 4 sides and 4 vertices.

Share and Show

Circle the angles in each shape. Write how many.
Question 1.

______ angles

Question 2.

_____ angles

Question 3.

_____ angles

Question 4.

_____ angles

Circle the angles in each shape. Write how many.
Question 5.

______ angles

Question 6.

_____ angles

Question 7.

_____ angles

Question 8.

_____ angles

Question 9.
THINK SMARTER
Draw more sides to make the shape. Write how many angles.

Problem Solving • Applications

Question 10.
Draw two shapes that have 7 angles in all.

Question 11.
Use Diagrams
Ben drew 3 two-dimensional shapes that had 11 angles in all. Draw shapes Ben could have drawn.

Question 12.
THINK SMARTER
Fill in the bubble next to all the shapes that have 5 angles.

TAKE HOME ACTIVITY • Ask your child to draw a shape with 4 sides and 4 angles.

### Angles in Two-Dimensional Shapes Homework & Practice 11.5

Circle the angles in each shape. Write how many.
Question 1.

______ angles

Question 2.

_____ angles

Problem Solving
Question 3.
Logan drew 2 two-dimensional shapes that had 8 angles in all. Draw shapes Logan could have drawn.

Question 4.
WRITE
Draw a two-dimensional shape with 4 angles. Circle the angles. Write the name of the two-dimensional shape you drew.

Lesson Check
Question 1.
How many angles does this shape have?

_____ angles

Question 2.
How many angles does this shape have?

______ angles

Spiral Review
Question 3.
Use an inch ruler. What is the length of the string to the nearest inch?

Question 4.
Look at the picture graph. How many children chose daisies?

_____ children

### Lesson 11.6 Sort Two-Dimensional Shapes

Essential Question How do you use the number of sides and angles to sort two-dimensional shapes?

Listen and Draw
Make the shape with pattern blocks. Draw and color the blocks you used.

MATHEMATICAL PRACTICES
Describe how you could sort the blocks you used.

Share and Show

Circle the shapes that match the rule.
Question 1.
Shapes with 5 sides

Question 2.
Shapes with more than 3 angles

Question 3.
Shapes with fewer than 4 angles

Question 4.
Shapes with fewer than 5 sides

Circle the shapes that match the rule.
Question 5.
Shapes with 4 sides

Question 6.
Shapes with more than 4 angles

Question 7.
Shapes with fewer than 4 angles

Question 8.
Shapes with fewer than 5 sides

Question 9.
THINK SMARTER
Draw three shapes that match the rule. Circle them. Then draw two shapes that do not match the rule.
Shapes with fewer than 5 angles

Problem Solving • Applications

Question 10.
Make Connections
Sort the shapes.

• Use red to color the shapes with more than 4 sides.
• Use blue to color the shapes with fewer than 5 angles.

Question 11.
Draw each shape where it belongs in the chart.

TAKE HOME ACTIVITY • Ask your child to draw some shapes that each have 4 angles.

### Sort Two-Dimensional Shapes Homework & Practice 11.6

Circle the shapes that match the rule.
Question 1.
Shapes with fewer than 5 sides

Question 2.
Shapes with more than 4 sides

Problem Solving
Question 3.
Tammy drew a shape with more than 3 angles. It is not a hexagon. Which shape did Tammy draw?

Question 4.
WRITE
Think about the rules Shapes that have more than 3 angles. Draw three shapes that match this rule.

Lesson Check
Question 1.
Which shape has fewer than 4 sides?

Spiral Review
Question 2.
Use an inch ruler. What is the length of the pencil to the nearest inch?

Question 3.
Use the tally chart. How many children chose basketball as their favorite sport?

_____ children

### Lesson 11.7 Partition Rectangles

Essential Question How do you find the total number of same-size squares that will cover a rectangle?

Listen and Draw
Put several color tiles together. Trace around the shape to draw a two-dimensional shape.

HOME CONNECTION • After putting together tiles, your child traced around them to draw a two-dimensional shape. This activity is an introduction to partitioning a rectangle into several same-size squares.

MATHEMATICAL PRACTICES
Is there a different shape that can be made with the same number of tiles? Explain.

Share and Show
Use color tiles to cover the rectangle.
Trace around the square tiles. Write how many.
Question 1.

Number of rows: ______
Number of columns: ______
Total: _____ square tiles

Number of rows: 4
Number of columns: 4
Total: 16 square tiles

Question 2.

Number of rows: ______
Number of columns: ______
Total: _____ square tiles

Number of rows: 2
Number of columns: 6
Total: 12 square tiles

Use color tiles to cover the rectangle.
Trace around the square tiles. Write how many.
Question 3.

Number of rows: ______
Number of columns: ______
Total: _____ square tiles

Number of rows: 3
Number of columns: 5
Total: 15 square tiles

Question 4.

Number of rows: ______
Number of columns: ______
Total: _____ square tiles

Number of rows: 2
Number of columns: 4
Total: 8 square tiles

Question 5.
THINK SMARTER
Mary started to cover this rectangle with ones blocks. Explain how you would estimate the number of ones blocks that would cover the whole rectangle.

TAKE HOME ACTIVITY • Have your child describe what he or she did in this lesson.

### Partition Rectangles Homework & Practice 11.7

Use color tiles to cover the rectangle.
Trace around the square tiles. Write how many.
Question 1.

Number of rows: ______
Number of columns: ______
Total: _____ square tiles

Number of rows: 4
Number of columns: 5
Total: 20 square tiles

Question 2.

Number of rows: ______
Number of columns: ______
Total: _____ square tiles

Number of rows: 2
Number of columns: 4
Total: 8 square tiles

Problem Solving
Solve. Write or draw to explain.
Question 3.
Nina wants to put color tiles on a square. 3 color tiles fit across the top of the square. How many rows and columns of squares will Nina need? How many color tiles will she use in all?
______ tiles
Number of rows: ______
Number of columns: ______
Total: _____ square tiles

Number of rows: 3
Number of columns: 3
Total: 9 square tiles

Question 4.
WRITE
Look at Exercise 1 above. Is there a different-shaped rectangle that you could cover with 6 tiles? Explain.

Lesson Check
Question 1.
Use color tiles to cover the rectangle. How many tiles did you use?

_____ tiles

12 tiles

Spiral Review
Question 2.
How many faces does a cube have?

____ faces

Question 3.
How many angles does this shape have?

_____ angles

Question 4.
Use the tally chart. How many more children chose art than reading?

_____ children

### Geometry and Fraction Concepts Mid-Chapter Checkpoint

Concepts and Skills
Circle the objects that match the shape name.
Question 1.
cylinder

Question 2.
cube

Write the number of sides and the number of vertices.
Question 3.

_____ sides
______ vertices
4 sides
4 vertices

Question 4.
pentagon

_____ sides
_____ vertices
4 sides
4 vertices

Question 5.
hexagon

_____ sides
_______ vertices
6 sides
6 vertices

Question 6.
THINK SMARTER
How many angles does this shape have?

______ angles

### Lesson 11.8 Equal Parts

Essential Question What are halves, thirds, and fourths of a whole?

Listen and Draw
Put pattern blocks together to match the shape of the hexagon. Trace the shape you made.

MATHEMATICAL PRACTICES
Compare models
Describe how the shapes you used are different from the shapes a classmate used.
Other common shapes are points, lines, planes, and conic sections such as ellipses, circles, and parabolas. Among the most common 3-dimensional shapes are polyhedra, which are shapes with flat faces; ellipsoids, which are egg-shaped or sphere-shaped objects, cylinders, and cones.

Share and Show
Write how many equal parts there are in the whole.
Write halves, thirds, or fourths to name the equal parts.
Question 1.

____ equal parts
__________
Halves

Question 2.

____ equal parts
__________
Thirds

Question 3.

____ equal parts
__________
Fourths

Question 4.

____ equal parts
__________
Thirds

Question 5.

____ equal parts
__________
Halves

Question 6.

____ equal parts
__________
Fourths

Write how many equal parts there are in the whole.
Write halves, thirds, or fourths to name the equal parts.
Question 7.

____ equal parts
__________
Halves

Question 8.

____ equal parts
__________
Fourths

Question 9.

____ equal parts
__________
Thirds

Question 10.

____ equal parts
__________
Thirds

Question 11.

____ equal parts
__________
Fourths

Question 12.

____ equal parts
__________
Halves

Question 13.
THINK SMARTER
Draw to show halves. Explain how you know that the parts are halves.

Problem Solving • Applications
Question 14.
Make Connections Sort the shapes.

• Draw an X on shapes that do not show equal parts.
• Use red to color the shapes that show thirds.
• Use blue to color the shapes that show fourths.

Question 15.
Draw lines to show fourths three different ways.

Explain how you know that the parts are fourths.
___________________
____________________

TAKE HOME ACTIVITY • Ask your child to fold one sheet of paper into halves and another sheet of paper into fourths.

### Equal Parts Homework & Practice 11.8

Write how many equal parts there are in the whole.
Write halves, thirds, or fourths to name the equal parts.
Question 1.

______ equal parts
__________
Fourths

Question 2.

______ equal parts
__________
Halves

Question 3.

______ equal parts
__________
Thirds

Problem Solving
Question 4.
Sort the shapes.

• Draw an X on the shapes that do not show equal parts.
• Circle the shapes that show halves

Question 5.
WRITE
Look at the shapes in Exercise 4. Describe the shapes that you did not put an X on or circle.
____________________
_____________________
the shapes that you did not put an X on or circle because other images have half divided quantity

Lesson Check
Question 1.
What are the 3 equal parts of the shape called?

________

Question 2.
What are the 4 equal parts of the shape called?

_______

Spiral Review
Question 3.
What is the sum?

Question 4.
What is the difference?

Question 5.

Question 6.
Circle the hexagon.

### Lesson 11.9 Show Equal Parts of a Whole

Essential Question How do you know if a shape shows halves, thirds, or fourths?

Listen and Draw
Circle the shapes that show equal parts.

HOME CONNECTION • Your child completed this sorting activity with shapes to review the concept of equal parts.

MATHEMATICAL PRACTICES
Does the triangle show halves? Explain.
Answer: Yes,if the triangle id divided exactly at an angle of 90 degrees then it can be cut half.

Share and Show
Draw to show equal parts.
Question 1.
thirds

Question 2.
halves

Question 3.
fourths

Question 4.
halves

Question 5.
fourths

Question 6.
thirds

Draw to show equal parts.
Question 7.
halves

Question 8.
fourths

Question 9.
thirds

Question 10.
thirds

Question 11.
halves

Question 12.
fourths

Question 13.
halves

Question 14.
thirds

Question 15.
fourths

Question 16.
Does this shape show thirds? Explain.

Answer: No,The square is divided into three but thry are not equally divided.

Problem Solving • Applications
Question 17.
Colton and three friends want to share a pizza equally. Draw to show how the pizza should be divided.

Question 18.
GO DEEPER
There are two square pizzas. Each pizza is cut into fourths. How many pieces of pizza are there?
______ pieces

Question 19.
THINK SMARTER
Fill in the bubble next to the shapes that show thirds. Explain your answer.

________________
________________
Answer: The bubbled shapes are equally divided into thirds.

TAKE HOME ACTIVITY • Have your child describe how to show equal parts of a shape.

### Show Equal Parts of a Whole Homework & Practice 11.9

Draw to show equal parts.
Question 1.
halves

Question 2.
fourths

Question 3.
thirds

Question 4.
thirds

Question 5.
halves

Question 6.
fourths

Problem Solving
Solve. Write or draw to explain.
Question 7.
Joe has one sandwich. He cuts the sandwich into fourths. How many pieces of sandwich does he have?
_____ pieces

Question 8.
WRITE
Draw three rectangles. Then draw to show halves, thirds, and fourths. Write about each whole that you have drawn.

Lesson Check
Question 1.
Circle the shape divided into fourths.

Spiral Review
Question 2.
How many angles does this shape have?

______ angles

Question 3.
How many faces does a rectangular prism have?

______ Faces

Question 4.
Use a centimeter ruler. Measure the length of each object. How much longer is the ribbon than the string?

_____ centimeter long
5 centimeter long

### Lesson 11.10 Describe Equal Parts

Essential Question How do you find a half of, a third of, or a fourth of a whole?

Listen and Draw
Find shapes that show fourths and color them green.
Find shapes that show halves and color them red.

HOME CONNECTION • Your child identified the number of equal parts in shapes to review describing equal parts of a whole.

MATHEMATICAL PRACTICES
Describe how the thirds in the unshaded shapes compare to each other.
Answer: In both the rectangles the thirds are equally divided but one is divided horizontally and the other is divided vertically, And the circle is equally divided into three.

Share and Show
Draw to show thirds.
Color a third of the shape.
Question 1.

Question 2.

Question 3.

Draw to show fourths.
Color a fourth of the shape.
Question 4.

Question 5.

Question 6.

Draw to show halves.
Color a half of the shape
Question 7.

Question 8.

Question 9.

Draw to show thirds.
Color a third of the shape.
Question 10.

Question 11.

Question 12.

Draw to show fourths.
Color a fourth of the shape.
Question 13.

Question 14.

Question 15.

Problem Solving • Applications
Question 16.
THINK SMARTER
Two posters are the same size. A third of one poster is red, and a fourth of the other poster is blue.
Is the red part or the blue part larger? Draw and write to explain.

Question 17.
THINK SMARTER
Draw to show halves, thirds, and fourths. Color a half, a third, or a fourth of the shape.

### Describe Equal Parts Homework & Practice 11.10

Draw to show halves.
Color a half of the shape.
Question 1.

Question 2.

Draw to show thirds.
Color a third of the shape.
Question 3.

Question 4.

Problem Solving
Question 5.
Circle all the shapes that have a third of the shape shaded.

Question 6.
WRITE
Draw pictures to show a third of a whole and a fourth of a whole. Label each picture.

Lesson Check
Question 1.
Circle the shape that is half-shaded.

Spiral Review
Question 2.
What is the name of this shape?

_________

Question 3.
Use a centimeter ruler. What is the length of the string to the nearest centimeter?

______ centimeters

Question 4.
The clock shows the time Chris finished his homework. What time did Chris finish his homework?

Question 5.
What time is shown on this clock?

### Lesson 11.11 Problem Solving • Equal Shares

Essential Question How can drawing a diagram help when solving problems about equal shares?

There are two sandwiches that are the same size. Each sandwich is divided into fourths, but the sandwiches are cut differently. How might the two sandwiches be cut?

Unlock the Problem
What information do
I need to use?
There are ______ sandwiches.
Each sandwich is divided into _______
Each sandwich is divided into fourths.

Show how to solve the problem.

HOME CONNECTION • Your child drew a diagram to represent and solve a problem about dividing a whole in different ways to show equal shares.

Try Another Problem

Question 1.
Marquis has two square sheets of paper that are the same size. He wants to cut each sheet into halves. What are two different ways he can cut the sheets of paper?

Question 2.
Shanice has two pieces of cloth that are the same size. She needs to divide each piece into thirds. What are two different ways she can divide the pieces of cloth?

Share and Show

Question 3.
Brandon has two pieces of toast that are the same size. What are two different ways he can divide the pieces of toast into halves?

Question 4.
Mr. Rivera has two small trays of pasta that are the same size. What are two different ways he can cut the pasta into fourths?

Question 5.
THINK SMARTER
Erin has two ribbons that are the same size. What are two different ways she can divide the ribbons into thirds?

Problem Solving • Applications

Solve. Write or draw to explain.
Question 6.
Use Diagrams
David needs to divide two pieces of paper into the same number of equal shares. Look at how the first paper is divided. Show how to divide the second paper a different way.

Question 7.
GO DEEPER
Mrs. Lee cut two sandwiches into halves. How many equal shares does she have?
_______ equal shares

Question 8.
THINK SMARTER
Emma wants to cut a piece of paper into fourths. Fill in the bubble next to all the ways she could cut the paper.

TAKE HOME ACTIVITY • Ask your child to draw two rectangles and show two different ways to divide them into fourths.

### Problem Solving • Equal Shares Homework & Practice 11.11

Question 1.
Max has square pizzas that are the same size. What are two different ways he can divide the pizzas into fourths?

Question 2.
Lia has two pieces of paper that are the same size. What are two different ways she can divide the pieces of paper into halves?

Question 3.
WRITE
Draw and write to explain how you can divide a rectangle into thirds in two different ways.
Answer: We can divide or partition a rectangle into thirds in two different ways by dividing the rectangle either horizontally or vertically
Such that each partition that is created on dividing it have equal area or equal share of the original rectangle and hence the partitions are similar.

Lesson Check
Question 1.
Bree cut a piece of cardboard into thirds like this.

Circle the other shape that is divided into thirds.

Spiral Review
Question 2.
Circle the shape with three equal parts.

Question 3.
How many angles does this shape have?

______ angles

Question 4.
What is the best estimate for the width of a door?
_____ feet

Question 5.
Which is another way to write 10 minutes after 9?
_____ : _____

### Geometry and Fraction Concepts Review/Test

Question 1.
Match the shapes.

Question 2.
Do the sentences describe a cube?
Choose Yes or No.

Rewrite each sentence with a mistake to make it a true sentence.
________________________
_______________________

A cube has 6 faces.
A cube has 8 vertuces.
A cube has 12 edges.
Each face of a cube is a square.

Question 3.
Draw lines to show thirds.

Explain how you know that the parts are thirds.
__________________
_________________
Answer: Both the shaps are cut into thirds horizontally.

Question 4.
Will and Ana have gardens that are the same size. They divide their gardens into fourths. What are two different ways they can divide the gardens? Draw to show your answer.

Question 5.
Draw to show halves, thirds, and fourths. Color a half, a third, and a fourth.

Question 6.
Max wants to cover the rectangle with blue tiles. Explain how you would estimate the number of blue tiles he would need to cover the rectangle.

Question 7.
THINK SMARTER +
Jenna built this rectangular prism. Circle the number of unit cubes Jenna used.

Question 8.
Rachel makes a pentagon and a quadrilateral with toothpicks. She uses one toothpick for each side of a shape. How many toothpicks does Rachel need?
_____ toothpicks
Given,
Rachel makes a pentagon and a quadrilateral with toothpicks. She uses one toothpick for each side of a shape.
Pentagon consists of 5 sides
5 + 4 = 9
Thus there are 9 toothpicks.
9 toothpicks

Question 9.
Kevin drew 2 two-dimensional shapes that had 9 angles in all. Draw the shapes Kevin could have drawn.

Question 10.
Fill in the bubble next to the shapes that show fourths.