## Go Math Grade 1 Chapter 12 Answer Key Two-Dimensional Geometry

Go Math Grade 1 Chapter 12 Answer Key Two-Dimensional Geometry is here to provide you the help to have your kids a fun way of learning. It helps children to improve their practical skills by recognizing the real life geometrical shapes and here we concentrated on the two dimensional shapes with colorful methods and answers will be an extra point to the children to gain the knowledge easily with playful learning.

## Go Math Grade 1 Chapter 12 Answer Key Two-Dimensional Geometry

Now parents have an easy way to teach their kids about shapes. Go Math Grade 1 Chapter 12 Answer Key Two-Dimensional Geometry has all the answers for the kids who are learning the concepts of two dimensional shapes. In this chapter each and every question is answered in a colorful and fun way to help your kids to have a happy learning. The difficulty level of this chapter is very easy as other kids also seem to be enjoying to learn together . This chapter highlights the concepts of shapes , sizes, equal shares, by visualizing them practically.

**Two-Dimensional Geometry Show What You Know
**

**Two-Dimensional Geometry Vocabulary Builder**

**Two-Dimensional Geometry Game Rocket Shapes**

**Two-Dimensional Geometry Vocabulary Game**

**Lesson 1 Sort Two-Dimensional Shapes**

**Lesson 2 Describe Two-Dimensional Shapes**

- Lesson 12.2 Describe Two-Dimensional Shapes
- Describe Two-Dimensional Shapes Homework & Practice 12.2

**Lesson 3 Combine Two-Dimensional Shapes**

**Lesson 4 Combine More Shapes**

**Lesson 5 Problem Solving • Make New Two-Dimensional Shapes**

- Lesson 12.5 Problem Solving • Make New Two-Dimensional Shapes
- Problem Solving • Make New Two-Dimensional Shapes Homework & Practice 12.5

**Lesson 6 Find Shapes in Shapes**

**Lesson 7 Take Apart Two-Dimensional Shapes**

- Lesson 12.7 Take Apart Two-Dimensional Shapes
- Take Apart Two-Dimensional Shapes Homework & Practice 12.7

**Lesson 8 Equal or Unequal Parts**

**Lesson 9 Halves**

**Lesson 10 Fourths**

**Two-Dimensional Geometry Review/Test**

### Two-Dimensional Geometry Show What You Know

Sort by Shape

Circle the shape that belongs in each group.

Question 1.

Answer:

Explanation:

Given, in the question above,

All the figures in the picture are triangles,

The odd one in the second picture is triangle

So, triangle shape is circled.

Question 2.

Answer:

Explanation:

Given, in the question above,

All the figures in the picture are rectangle ,

The odd one in the second picture is rectangle,

So, rectangle shape is circled.

Sort Shapes

Circle the shapes with 4 sides.

Question 3.

Answer:

Explanation:

The shapes having four sides are square and rectangle,

and shapes having three sides are triangles.

**Identify Two-Dimensional Shapes**

Color each square blue. Color each rectangle yellow.

Color each circle red.

Question 4.

Answer:

Explanation:

There are totally 8 circles in the picture,

All of them are colored in red.

Two-Dimensional Geometry Vocabulary Builder

Visualize It

Complete the chart.

Mark each row with a ✓.

Understand Vocabulary

Write the number of each shape.

Question 1.

_____ circles

Answer: 2

Explanation:

There are 9 shapes in the picture,

And there are 2 circles in the picture.

Question 2.

_____ squares

Answer: 4

Explanation:

There are 9 shapes in the picture,

And there are 4 squares in the picture.

Question 3.

_____ triangles

Answer: 3

Explanation:

There are 9 shapes in the picture,

And there are 3 triangles in the picture.

Two-Dimensional Geometry Game Rocket Shapes

Materials

Play with a partner.

Take turns.

- Spin the .
- Name the shape you spin.
- Place that shape on the rocket if you can.
- If you cannot place the shape, your turn is over.
- The first player to cover a whole rocket wins.

Answer:

Explanation:

who ever wins the points between the player1 and player2,

The picture with the colors is the output.

### Two-Dimensional Geometry Vocabulary Game

Guess the Word

Materials

timer

How to Play

Play with a partner.

- Choose a math word from the Word Box. Do not tell your partner.
- Set the timer.
- Give a one-word clue.
- Your partner tries to guess the secret word.
- Repeat with a new one-word clue until your partner guesses correctly or time runs out.
- Take turns.
- The first player to correctly guess 5 words wins.

Answer: Circle, Triangle, Rectangle, Square, Trapezoid.

Explanation:

From the picture we have the 5 words,

That is Circle, Triangle, Rectangle, Square, Trapezoid.

circles and trapezoid are in the cycle from the picture,

Rectangle is from fencing of the play ground in the picture,

Square is from the sandbox in the picture,

Triangle is from the support of the swings in the frame.

The Write Way

Reflect

Choose one idea. Draw and write about it.

- Tell about two of your favorite shapes.
- Explain how you can combine shapes to make a new shape.

Answer: we can use circle and triangle to form a Cone.

Explanation:

From the shapes Circle and Triangle, combined together,

Thus forming a Cone.

### Lesson 12.1 Sort Two-Dimensional Shapes

**Essential Question** How can you use attributes to classify and sort two-dimensional shapes?

**Listen and Draw**

Draw to sort the shapes.

Write the sorting rule.

Answer: Sorting rule is defined as the method to identify the patterns by sort of size, color and shapes for two-dimensional objects and also helpful to recognizing the shapes which are similar and different.

The different ways to sort out the two-dimensional shapes are given below

Explanation:

shapes with 3 vertices are:

shapes with 4 vertices are:

shapes with open figures are:

**MATHEMATICAL PRACTICES**

Explain Are there shapes that did not go in your groups?

Answer: No, There are no shapes that did not go in your group , because here we are dealing with two dimensional shapes and we have triangle, square, circle, rectangle and so on. from the above questions so all of them are grouped.

**Model and Draw**

Here are some ways to sort two-dimensional shapes.

Answer: By sorting rule we have , circles, triangles, rectangles

Explanation:

From the question, we know that

curved and closed shapes here are circles,

closed shapes with 3 sides here are triangles,

closed shapes with 4 sides here are rectangles.

**Share and Show**

Read the sorting rule. Circle the shapes that follow the rule.

Question 1.

4 vertices (corners)

Answer: There are 3 figures following the given sorting rule.

Explanation:

Here we have rectangle and 2 squares.

Question 2.

not curved

Answer: There are 4 figures following the given sorting rule.

Explanation:

Here we have shapes with out curved end are triangle, square and rectangle.

Question 3.

only 3 sides

Answer: There are 2 figures following the given sorting rule.

Explanation:

Here we have shapes with 3 sides are triangle

Question 4.

more than 3 sides

Answer: There are 3 figures following the given sorting rule.

Explanation:

Here we have shapes with more than 3 sides are 2 squares and a rectangle.

**On Your Own**

**MATHEMATICAL PRACTICE** Use Math Vocabulary

Circle the shapes that follow the rule.

Question 5.

curved

Answer: shape with round and curved surface

Explanation:

The shape that follow the given rule is shape with curved and round surface is

Question 6.

only 3 vertices (corners)

Answer: shape with only 3 equal sides

Explanation:

The shape that follow the given rule is shape with only 3 equal sides is

Question 7.

4 sides

Answer: shape with only 4 sides

Explanation:

The shape that follow the given rule is shape with only 4 sides is

Question 8.

4 sides are the same length

Answer: shape with 4 sides are the same length

Explanation:

The shape that follow the given rule is shape with 4 sides are the same length is

**THINK SMARTER** Draw 2 different two-dimensional shapes that follow both parts of the sorting rule.

Question 9.

3 sides and 3 vertices (corners)

Answer: Triangle

Explanation:

By sorting rule given in the question,

A Triangle has 3 sides and 3 vertices (corners)

Question 10.

2 sides are long and 2 sides are short

Answer: Rectangle

Explanation:

By sorting rule given in the question,

A Rectangle has 2 sides are long and 2 sides are short

**Problem Solving • Applications**

Ted sorted these shapes three different ways. Write sorting rules to tell how Ted sorted.

Question 11.

Answer: He sorted out by using 3 sides and 3 vertices

Explanation:

Because only triangle has 3 sides and 3 vertices

Question 12.

Answer: He sorted out by using 4 vertices and 4 sides

Explanation:

Because rectangles and squares have 4 vertices and 4 sides

Question 13.

**THINK SMARTER**

Answer: He sorted out by using shapes having 3 or more sides and 3 vertices

Explanation:

The shapes with having 3 or more sides and 3 vertices are triangle, square, rectangle. are given in the picture.

Question 14.

**THINK SMARTER**

Which shapes have more than 3 sides? Choose all that apply.

Answer: The shapes have more than 3 sides are square, rectangle, parallelogram and pentagon.

Explanation:

The shapes have more than 3 sides are square has 4 sides,

rectangle has 4 sides,

parallelogram has 4 sides,

pentagon has 5 sides.

**TAKE HOME ACTIVITY** • Gather some household objects such as photos, buttons, and napkins. Ask your child to sort them by shape.

### Sort Two-Dimensional Shapes Homework & Practice 12.1

Read the sorting rule. Circle the shapes that follow the rule.

Question 1.

not curved

Answer: The shapes having are 4 figures following the given sorting rule.

Explanation:

The shapes having are 4 figures following the given sorting rule,

They are triangle, square.

Question 2.

4 vertices

Answer: The shapes having are 3 figures following the given sorting rule.

Explanation:

The shapes having are 3 figures following the given sorting rule,

They are rectangle, square.

**Problem Solving**

Question 3.

Katie sorted these shapes. Write a sorting rule to tell how Katie sorted.

Answer: shapes having 3 vertices

Explanation:

Katie sorted these shapes by choosing 3 vertices ,

Because all triangles have 3 vertices irrespective of their length of the sides

Question 4.

**WRITE**

Explain how you would name a sorting rule for 1 square, 1 rectangle, and 1 triangle.

____________________

____________________

Answer: shapes having 3 or more sides

Explanation:

Here we have 1 square, 1 rectangle, and 1 triangle,

shapes having 3 or more sides.

**Lesson Check**

Question 1.

Circle the shape that would not be sorted into this group.

Answer: triangle and circle.

Explanation:

From the first group , we have all of them with 4 sides except triangle,

So, triangle does not belong to the group.

From the second group, we have sides and corners except circle

So, circle does not belong to the group.

Question 2.

Circle the shape that has fewer than 4 sides.

Answer: Triangle

Explanation:

From the group we have all of them having 4 sides Except triangle,

So, triangle does not belong to the group.

**Spiral Review**

Solve. Draw or write to explain.

Question 3.

Clue 1: A black line is shorter than a white line.

Clue 2: The white line is shorter than a gray line. Is the black line longer or shorter than the gray line?

Answer: The black line is shorter than the gray line.

Explanation:

Given, A black line is shorter than a white line.

The white line is shorter than a gray line,

So, from the picture we have, The black line is shorter than the gray line.

Lesson 12.2 Describe Two-Dimensional Shapes

**Essential Question** What attributes can you use to describe two-dimensional shapes?

**Listen and Draw**

Use two-dimensional shapes. Sort them into two groups. Draw to show your work.

**MATHEMATICAL PRACTICES**

Look for Structure How did you sort the shapes into two groups? Name the shapes in each group.

Answer: shapes with 3 vertices and shapes with 4 vertices

Explanation:

Table shows , shapes with 3 vertices and shapes with 4 vertices

**Share and Show**

Use two-dimensional shapes.

Draw and write to complete the chart.

Answer:

**On Your Own**

Use to trace each straight side.

Use to circle each vertex (corner).

Write the number of sides and vertices (corners).

Question 6.

_____ sides

_____ vertices

Answer: 4 sides and 4 vertices.

Explanation:

There are 4 sides and 4 vertices in the given figure.

Question 7.

_____ sides

_____ vertices

Answer: 4 sides and 4 vertices

Explanation:

There are 4 sides and 4 vertices in the given figure.

Question 8.

_____ sides

_____ vertices

Answer: 3 sides and 3 vertices

Explanation:

There are 3 sides and 3 vertices in the given figure.

Question 9.

_____ sides

_____ vertices

Answer: 3 sides and 3 vertices

Explanation:

There are 3 sides and 3 vertices in the given figure.

Question 10.

_____ sides

_____ vertices

Answer: 6 sides and 6 vertices

Explanation:

There are 6 sides and 6 vertices in the given figure.

Question 11.

_____ sides

_____ vertices

Answer: 4 sides and 4 vertices

Explanation:

There are 4 sides and 4 vertices in the given figure.

**THINK SMARTER** Draw a picture to solve.

Question 12.

I am a shape with 3 straight sides and 3 vertices.

Answer: Triangle

Explanation:

A Triangle has 3 straight sides and 3 vertices.

Question 13.

I am a shape with 4 straight sides that are the same length and 4 vertices.

Answer: Square

Explanation:

A Square has 4 straight sides that are the same length and 4 vertices.

**Problem Solving • Applications**

**MATHEMATICAL PRACTICE** Use Math Vocabulary

Draw shapes to match the clues.

Question 14.

Jake draws a shape that has fewer than 5 sides. It has 3 vertices.

Answer: Triangle

Explanation:

A Triangle has 3 straight sides and 3 vertices.

Question 15.

Meg draws a shape with 4 sides. She labels it as a trapezoid.

Answer: yes, Trapezoid

Explanation:

A Trapezoid has 4 sides

Question 16.

**GO DEEPER**

Ben draws two different shapes. They each have only 4 vertices.

Answer: Rectangle and Square.

Explanation:

and

Both of them have 4 vertices

Question 17.

**THINK SMARTER**

Circle the number that makes the sentence true.

Answer: A triangle has 3 vertices.

Explanation:

**TAKE HOME ACTIVITY** • Have your child draw a square, a trapezoid, and a triangle. For each shape, have him or her show you the sides and vertices and tell how many of each.

### Describe Two-Dimensional Shapes Homework & Practice 12.2

Use to trace each straight side.

Use to circle each vertex. Write the number of sides and vertices.

Question 1.

______ sides

______ vertices

Answer: 6 sides and 6 vertices

Explanation:

There are 6 sides and 6 vertices in the given figure.

Question 2.

______ sides

______ vertices

Answer: 4 sides and 4 vertices

Explanation:

There are 4 sides and 4 vertices in the given figure.

Question 3.

______ sides

______ vertices

Answer: 4 sides and 4 vertices

Explanation:

There are 4 sides and 4 vertices in the given figure.

Question 4.

______ sides

______ vertices

Answer: 3 sides and 3 vertices

Explanation:

There are 3 sides and 3 vertices in the given figure.

**Problem Solving**

Draw a shape to match the clues.

Question 5.

Ying draws a shape with 4 sides. She labels it as a rectangle.

Answer: Yes, rectangle

Explanation:

Rectangle has 4 sides.

Question 6.

**WRITE**

Use pictures and words to show the attributes of a hexagon.

Answer:

Explanation:

Characteristics of hexagon are,

All the sides are equal in length.

All the interior angles measure 120°.

The sum of all the interior angles of a regular hexagon is 720°.

**Lesson Check**

Question 1.

How many vertices does a triangle have?

______ vertices

Answer: A Triangle has 3 vertices

Explanation:

A Triangle has 3 vertices

Question 2.

How many vertices does a ☐ have?

______ vertices

Answer: A Square has 4 vertices

Explanation:

A Square has 4 vertices

**Spiral Review**

Question 3.

Circle the greater addend.

Count on to find the sum.

Answer: 9 + 2 = 11

Explanation:

9 + 2 = 11

Question 4.

Corey measures a crayon box with his paper clip ruler. About how long is the box?

Answer: The box is about 5 inches

Explanation:

He used 4 paper clips in the figure,

So, crayon box is about 5 inches in length.

### Lesson 12.3 Combine Two-Dimensional Shapes

**Essential Question** How can you put two-dimensional shapes together to make new two-dimensional shapes?

**Listen and Draw**

Use pattern blocks. Draw to show your work.

Answer: we can use 2squares to form a rectangle.

Explanation:

we need 2 squares to form 1 rectangle,

Each square has 4 sides ,

And combined to form a Rectangle having four sides

**MATHEMATICAL PRACTICES**

Use Tools Describe the new shape Karen made.

Answer: we can use 2 triangles to form a rhombus

Explanation:

we need 2 triangles to make 1 rhombus

Each triangle has 3 vertices,

And combined to form a Rhombus which has 4 sides.

**Share and Show**

Use pattern blocks. Draw to show the blocks. Write how many blocks you used.

Question 1.

Answer: we need 3 Rhombus to form a Hexagon.

Explanation:

We need 3 Rhombus to form a Hexagon.

Each rhombus have 4 sides,

and combined forming a hexagon having 6 sides

Question 2.

Answer: we need 3 triangles to form a trapezoid.

Explanation:

we need 3 triangles to form a trapezoid.

Each triangle has 3 sides

And combined to form a Trapezoid having 4 sides.

**On Your Own**

**MATHEMATICAL PRACTICE** Use a Concrete Model

Use pattern blocks. Draw to show the blocks.

Write how many blocks you used.

Question 3.

Answer: we need 6 triangles to make a Hexagon.

Explanation:

we need 6 triangles to make a Hexagon.

Each triangle has 3 sides,

And combined to form a Hexagon having 6 sides.

Question 4.

Answer: we need 2 triangles to make 1 rhombus

Explanation:

we need 2 triangles to make 1 rhombus

Each triangle has 3 vertices,

And combined to form a Rhombus which has 4 sides.

Question 5.

**THINK SMARTER**

Use me two times to make this shape. Which block am I? Circle a block to show your answer.

Answer: we need 2 Rhombus to get the given shape.

Explanation:

we need 2 Rhombus to get the given shape.

Each rhombus has 4 sides,

And combined to form the given shape which also has 4 sides.

Question 6.

**GO DEEPER**

Use these pattern blocks to make the shape. Write how many times you used each block.

Answer: we used 6 triangles to make a hexagon,

we used 3 rhombus to make a hexagon,

Explanation:

We need 3 Rhombus to form a Hexagon.

Each rhombus have 4 sides,

and combined forming a hexagon having 6 sides

we need 6 triangles to make a Hexagon.

Each triangle has 3 sides,

And combined to form a Hexagon having 6 sides.

we need 2 trapezoids to make a Hexagon.

Each trapezoid has 4 sides,

And combined to form a Hexagon having 6 sides.

**Problem Solving • Applications**

**GO DEEPER** Use pattern blocks. Draw to show your answer.

Question 7.

Answer: we need 2 triangles to make 1 rhombus, for 3 rhombus we need 6 triangles .

Explanation:

we need 2 triangles to make 1 rhombus

So, for 3 rhombus we need 6 triangles .

Question 8.

**THINK SMARTER**

How many make a ? Use pattern blocks. Draw to show the blocks you used.

Answer: we need 3 triangles to form a trapezoid.

Explanation:

we need 3 triangles to form a trapezoid.

Each triangle has 3 sides

And combined to form a Trapezoid having 4 sides.

**TAKE HOME ACTIVITY** • Have your child explain how he or she solved Exercise 7.

### Combine Two-Dimensional Shapes Homework & Practice 12.3

Use pattern blocks. Draw to show the blocks. Write how many blocks you used.

Question 1.

Answer: we need 3 triangles to form a trapezoid.

Explanation:

we need 3 triangles to form a trapezoid.

Each triangle has 3 sides

And combined to form a Trapezoid having 4 sides.

Question 2.

Answer: we can use 2 triangles to form a rhombus

Explanation:

we need 2 triangles to make 1 rhombus

Each triangle has 3 vertices,

And combined to form a Rhombus which has 4 sides.

**Problem Solving**

Use pattern blocks. Draw to show your answer.

Question 3.

Answer: we need 6 trapezoids for 4 hexagons

Explanation:

we need 2 trapezoids to make a Hexagon.

Each trapezoid has 4 sides,

And combined to form a Hexagon having 6 sides.

So, we need 6 trapezoids for 4 hexagons

Question 4.

**WRITE**

Draw the shapes you could put together to make a rectangle.

Answer: we can use 2squares to form a rectangle.

Explanation:

we need 2 squares to form 1 rectangle,

Each square has 4 sides ,

And combined to form a Rectangle having four sides

**Lesson Check**

Question 1.

Answer: we need 6 triangles to make a Hexagon.

Explanation:

we need 6 triangles to make a Hexagon.

Each triangle has 3 sides,

And combined to form a Hexagon having 6 sides.

Question 2.

Answer: we need 3 Rhombus to form a Hexagon.

Explanation:

We need 3 Rhombus to form a Hexagon.

Each rhombus have 4 sides,

and combined forming a hexagon having 6 sides

**Spiral Review**

Question 3.

Use . Which string is about 5 long?

Circle the string that is about 5 long.

Answer: First string has minimum length of 6 inches that is 5 paper clips.

Explanation:

So, First string has minimum length of 6 inches that is 5 paper clips.

Question 4.

Look at the hour hand. Write the time.

_________

Answer: 5 O’clock

Explanation:

Because in the clock ,

short hand is the hour hand and long hand is the minutes hand .

So, it is 5 O’clock , in the watch.

### Lesson 12.4 Combine More Shapes

**Essential Question** How can you combine two-dimensional shapes to make new shapes?

**Listen and Draw**

Use shapes to fill each outline.

Draw to show your work.

Answer: we can use right angle triangle and square for the the first shape,

we can use triangle and rectangle for the second shape.

Explanation:

we can use right angle triangle and square for the the first shape,

we can use triangle and rectangle for the second shape.

**MATHEMATICAL PRACTICES**

Represent Use the outline on the left to describe how two shapes can make another shape.

Answer: we are representing the above figures by outline to make another shape

Explanation:

we are representing the above figures by outline to make another shape

By, using two shapes to fill the outline on the left, and drawing a line to show the two shapes. Then using three shapes to fill the outline on the right,

**Share and Show**

Circle two shapes that can combine to make the shape on the left.

Question 1.

Answer: two semi circles give one full circle

Explanation:

So, Two semi circles give one full circle.

Question 2.

Answer: Two squares will form a new rectangle

Explanation:

So, Two squares will form a new rectangle

Question 3.

Answer: Two Quarter circles form a new shape

Explanation:

So, Two Quarter circles form a new shape

**On Your Own**

**MATHEMATICAL PRACTICE** Use Diagrams Circle two shapes that can combine to make the shape on the left.

Question 4.

Answer: One rectangle and one quarter circle form a new shape

Explanation:

Thus , One rectangle and one quarter circle form a new shape

Question 5.

Answer: one triangle and one square form a new shape

Explanation:

Thus, one triangle and one square form a new shape

**THINK SMARTER** Draw lines to show two different ways to combine the shapes on the left to make new shapes on the right.

Question 6.

Answer: we are using the shapes given on left to identify the shapes on the right to by drawing lines

Explanation:

Here, we have Two squares and one Rectangle

Question 7.

Answer: we are using the shapes given on left to identify the shapes on the right to by drawing lines

Explanation:

Here, we have Two Squares and Two Triangles

Problem Solving • Applications

THINK SMARTER Draw lines to show how the shapes on the left combine to make the new shape.

Question 8.

Answer: we are using the shapes given on left to identify the shapes on the right to by drawing lines

Explanation:

Here, we have one Rectangle and one Triangle.

Question 9.

Answer: we are using the shapes given on left to identify the shapes on the right to by drawing lines

Explanation:

Here, we have a semi circle and a quarter circle.

Question 10.

Answer: we are using the shapes given on left to identify the shapes on the right to by drawing lines

Explanation:

Here, we have Two squares and a Rectangle .

Question 11.

**THINK SMARTER**

Circle the two shapes that can combine to make this new shape.

Answer: A Triangle and a Hexagon forma a new shape.

Explanation:

Thus, A Triangle and a Hexagon forma a new shape.

**TAKE HOME ACTIVITY** • Ask your child to draw a new shape he or she can make by combining two triangles.

### Combine More Shapes Homework & Practice 12.4

Circle two shapes that can combine to make the shape on the left.

Question 1.

Answer: A Rectangle and a Quarter circle forms a new shape,

Explanation:

Hence, A Rectangle and a Quarter circle forms a new shape.

Question 2.

Answer: A Triangle and a Square forms a new shape.

Explanation:

Hence, A Triangle and a Square forms a new shape.

**Problem Solving**

Question 3.

Draw lines to show how the shapes on the left combine to make the new shape.

Answer: we are representing the above figures by outline to make another shape

Explanation:

we are using the shapes given on left to identify the shapes on the right to by drawing lines

Question 4.

**WRITE**

Draw two shapes. Then draw what they would look like if you put them together to make a new shape.

Answer: we have one Rectangle and one Triangle.

Explanation:

Hence, we have one Rectangle and one Triangle.

**Lesson Check**

Question 1.

Circle the shapes that can combine to make this new shape.

Answer: Two circles can form a full circle.

Explanation:

Thus, Two circles can form a full circle.

**Spiral Review**

Use the picture graph to answer each question.

Question 2.

How many more children chose than ?

______ more children

Answer: 3 more children.

Explanation:

From given , data we have,

3 more children in drawing than swimming.

Question 3.

How many children chose and ?

______ children

Answer: 6 children chose both of them.

Explanation:

From given , data we have,

Totally 6 children chose Dancing and Swimming.

Lesson 12.5 Problem Solving • Make New Two-Dimensional Shapes

**Essential Question** How can acting it out help you make new shapes from combined shapes?

Cora wants to combine shapes to make a circle. She has . How can Cora make a circle?

**Unlock the Problem**

Show how to solve the problem.

Step 1 Use shapes. Combine to make a new shape.

Step 2 Then use the new shape.

Answer: we can make a new circle by using given shape.

Explanation:

step 1 : use the given shape, combine to make a new shape

step2 : Then use the new shape.

**HOME CONNECTION** • Recognizing how shapes can be put together and taken apart provides a foundation for future work with fractions.

**Try Another Problem**

Use shapes to solve.

Draw to show your work.

Question 1.

Use ☐ to make a larger ☐.

Step 1 Combine shapes to make a new shape.

Step 2 Then use the new shape.

Answer: we can make a new shape by using given shape.

Explanation:

step 1 : use the given shape, combine to make a new shape

step2 : Then use the new shape.

Question 2.

Answer: we can make a new shape by using given shape.

Explanation:

step 1 : use the given shape, combine to make a new shape

step2 : Then use the new shape.

**MATHEMATICAL PRACTICES**

Model How did you make the rectangle in Exercise 2?

Answer: we used the new blocks of squares from the set of triangles,

And the two squares are formed as rectangle.

Explanation:

**Share and Show**

**MATHEMATICAL PRACTICE** Analyze Relationships Use shapes to solve. Draw to show your work.

Question 3.

Answer: we can make a new shape by using given shape.

step 1 : use the given shape, combine to make a new shape

step2 : Then use the new shape.

Question 4.

**THINK SMARTER**

Answer: we can make a new shape by using given shape.

step 1 : use the given shape, combine to make a new shape

step2 : Then use the new shape.

**TAKE HOME ACTIVITY** • Have your child explain how he or she solved Exercise 3.

### Problem Solving • Make New Two-Dimensional Shapes Homework & Practice 12.5

Use shapes to solve.

Draw to show your work.

Question 1.

Answer: we can make a new shape by using given shape.

step 1 : use the given shape, combine to make a new shape

step2 : Then use the new shape.

Question 2.

**WRITE**

Use pictures to show how you can make a new shape using a combined shape made from two trapezoids.

Answer: we can make a new shape using a combined shape made from two trapezoids.

step 1 : use the given shape, combine to make a new shape

step2 : Then use the new shape.

**Lesson Check**

Follow the steps.

Question 1.

Which new shape could you make? Circle your answer.

Answer: we can make a new shape by using given shape.

step 1 : use the given shape, combine to make a new shape

step2 : Then use the new shape.

**Spiral Review**

Question 2.

Circle the shape that has no flat surfaces.

Answer: A circle has no flat surface

Explanation:

Because, A circle has no flat surface

Question 3.

Which flat surface does a cylinder have? Circle your answer.

Answer: The flat surface which a cylinder have is rectangle.

Explanation:

The flat surface which a cylinder have is rectangle.

### Two-Dimensional Geometry Mid-Chapter Checkpoint

**Concepts and Skills**

Write the number of sides and vertices (corners).

Question 1.

_____ sides

______ vertices

Answer: the shape has 4 corners and 4 sides.

Explanation:

So, the shape has 4 corners and 4 sides.

Question 2.

_____ sides

______ vertices

Answer: the shape has 6 corners and 6 sides

Explanation:

So, the shape has 6 corners and 6 sides

Circle the shapes that can combine to make the new shape.

Question 3.

Answer: we have a rectangle and a quarter circle

Explanation:

To form a new shape, we have a rectangle and a quarter circle

Question 4.

**THINK SMARTER**

Which new shape can you make?

Answer:

Explanation:

we can make a new shape by using given shape.

step 1 : use the given shape, combine to make a new shape

step2 : Then use the new shape.

### Lesson 12.6 Find Shapes in Shapes

**Essential Question** How can you find shapes in other shapes?

**Listen and Draw**

Use pattern blocks. What shape can you make with 1 and 2 ?

Draw to show your shape.

Answer: we can make a new shape by using given shape.

Explanation:

We can forma new shape from a hexagon and a triangle.

**MATHEMATICAL PRACTICES**

Use Tools Can you use the same pattern blocks to make a different shape?

Answer: yes, we can use the same pattern blocks to make a different shape

Explanation:

or

Here we used same pattern blocks to make a different shape

**Share and Show**

Use two pattern blocks to make the shape.

Draw a line to show your model.

Circle the blocks you use.

Question 1.

Answer:

Explanation:

We can form a new shape from a hexagon and a triangle.

Question 2.

Answer:

Explanation:

We can form a new shape from a hexagon and a rhombus.

**On Your Own**

**MATHEMATICAL PRACTICE** Use a Concrete Model Use two pattern blocks to make the shape. Draw a line to show your model. Circle the blocks you use.

Question 3.

Answer:

Explanation:

we can form a new shape with a rhombus and a triangle.

Question 4.

Answer:

Explanation:

we can form a new shape with a rhombus and a triangle.

Question 5.

Answer:

Explanation:

Just rotate the give triangle

Question 6.

Answer:

Explanation:

we can form a new shape with a rhombus and a triangle.

Question 7.

**THINK SMARTER**

Use three pattern blocks to make the shape. Draw lines to show your model. Circle the blocks you use.

Answer: we use three figures to form a new shape.

Explanation:

Here, we are using trapezoid, rhombus and triangle.

**Problem Solving • Applications**

**THINK SMARTER**

Make this shape. Use the number of pattern blocks listed in the exercise. Write how many of each block you use.

Question 8.

Use 3 blocks.

Answer:

Explanation:

=

Here, we used one hexagon and two triangles

Question 9.

Use 5 blocks.

Answer:

Explanation:

Here, we used 3 triangles, 1 rhombus, 1 trapezoid to form a new shape.

Question 10.

Use 7 blocks.

Answer:

Explanation:

Here, we used 6 triangles, 1 rhombus, to form a new shape.

Question 11.

Use 8 blocks.

Answer:

Explanation:

Here, we used 8 triangles to form a new shape.

Question 12.

**THINK SMARTER**

Use 4 pattern blocks to fill the shape. Draw to show the blocks you used.

Answer:

Explanation:

Here, we used 1 triangle, 1 rhombus, 2 trapezoids to form a new shape.

**TAKE HOME ACTIVITY** • Have your child use this page to explain how to find shapes within the given shape.

### Find Shapes in Shapes Homework & Practice 12.6

Use two pattern blocks to make the shape. Draw a line to show your model. Circle the blocks you use.

Question 1.

Answer:

Explanation:

Here, we used two pattern blocks to form a new shape.

Question 2.

Answer:

Explanation:

Here, we used two pattern blocks to form a new shape.

**Problem Solving**

Make the shape to the right. Use the number of pattern blocks listed in the exercise. Write how many of each block you use.

Question 3.

Use 3 blocks.

Answer:

Explanation:

Here, we used two pattern blocks to form a new shape.

Question 4.

**WRITE**

Use pictures or words to explain what shapes can be put together to make a hexagon shape.

Answer: I put together 2 trapezoids to make a hexagon. It has 6 sides and 6 vertices.

It has 2 equal parts. My new shape has 2 trapezoids and 4 triangles.

**Lesson Check**

Question 1.

Circle the pair of pattern blocks that can make this shape.

Answer:

Explanation:

Here, we used two pattern blocks to form a new shape.

**Spiral Review**

Question 2.

Write the time.

_______

Answer: It is 2 hours and 30 minutes in the clock.

Explanation:

Because, the hours hand is in between 2 and 3,

And minutes hand is on 6 , that implies an half an hour or 30 minutes.

So, It is 2 hours and 30 minutes in the clock.

Question 3.

Write tally marks to show the number 8.

_________

Answer:

Explanation:

It is a form of numeral used for counting. The general way of writing tally marks is as a group or set of five lines. The first four lines are drawn vertically and each of the fifth line runs diagonally over the previous four vertical lines, i.e. from the top of the first line to the bottom of the fourth line.

Question 4.

How many vertices does a ☐ have?

_____ vertices

Answer: 4 vertices.

Explanation:

A square has 4 vertices and 4 sides.

### Lesson 12.7 Take Apart Two-Dimensional Shapes

**Essential Question** How can you take apart two dimensional shapes?

**Listen and Draw**

Color rectangles orange.

Color triangles purple.

Answer:

In the picture there are 4 triangles and are colored in purple,

And 2 rectangles and are colored in orange

**MATHEMATICAL PRACTICES**

Look for Structure What shapes did Angelina make?

Answer:

Explanation:

Angelina put some triangles and rectangles together.

She drew pictures to show what she made.

We have Colored them to show how Angelina put the shapes together.

**Share and Show**

Draw a line to show the parts.

Question 1.

Answer:

Question 2.

Answer:

Question 3.

Answer:

Question 4.

Answer:

**On Your Own**

**MATHEMATICAL PRACTICE** Identify Relationships Draw a line to show the parts.

Question 5.

Answer:

Question 6.

Answer:

Question 7.

Answer:

Question 8.

Answer:

**THINK SMARTER**

Draw two lines to show the parts.

Question 9.

Answer:

Question 10.

Answer:

**Problem Solving • Applications**

Question 11.

**THINK SMARTER**

How many squares are there?

________ squares

Answer:

There 4 squares in the given figure.

Question 12.

**THINK SMARTER**

Draw a line to show the parts.

Answer:

**TAKE HOME ACTIVITY** • Ask your child to explain how he or she solved Exercise 11.

### Take Apart Two-Dimensional Shapes Homework & Practice 12.7

Draw a line to show the parts.

Question 1.

Answer:

Question 2.

Answer:

**Problem Solving**

Question 3.

How many triangles are there?

_______ triangles

Answer:

There are 4 triangles in the given picture.

Question 4.

**WRITE**

Draw a shape. Then draw one or two lines to show parts of the shape.

Answer:

We used a triangle and a rectangle to have a new shape.

**Lesson Check**

Question 1.

Look at the picture.

Circle the pair that shows the parts.

Answer:

Explanation:

**Spiral Review**

Question 2.

Use the graph.

How many children chose

______ children

Answer: 2 children chose soccer.

Question 3.

Which new shape can you make?

Circle your answer.

Answer:

### Lesson 12.8 Equal or Unequal Parts

**Essential Question** How can you identify equal and unequal parts in two-dimensional shapes?

**Listen and Draw**

Draw to show the parts.

Answer: and

**MATHEMATICAL PRACTICES**

Explain how the triangles shown in each square compare.

Answer: For the first square we have 2 equal triangles,

For the second square we have 3 unequal triangles.

**Share and Show**

Circle the shape that shows equal parts.

Question 1.

Answer:

Here we have 2 equal rectangles.

Question 2.

Answer:

Here we have 4 equal triangles

Question 3.

Answer:

Here we have 2 equal semi circles.

Circle the shape that shows unequal parts.

Question 4.

Answer:

Here we have 4 equal quarters of a circle.

Question 5.

Answer:

Here we have 2 equal parts of rectangles.

Question 6.

Answer:

Here we have 4 equal parts of the given shape.

**On Your Own**

**MATHEMATICAL PRACTICE** Use Math Vocabulary Color the shapes that show unequal shares.

Question 7.

Answer:

Question 8.

Answer:

Color the shapes that show equal shares.

Question 9.

Answer:

Question 10.

Answer:

**THINK SMARTER** Write the number of equal shares.

Question 11.

______ equal shares

Answer: 2 equal shares

Explanation:

Question 12.

_______ equal shares

Answer: 4 equal shares.

Explanation:

**Problem Solving • Applications**

**THINK SMARTER** Draw lines to show the parts.

Question 13.

2 equal parts

Answer:

Question 14.

2 unequal parts

Answer:

Question 15.

4 equal shares

Answer:

Question 16.

4 unequal shares

Answer:

Question 17.

**THINK SMARTER**

Does the shape show equal shares? Choose Yes or No.

Answer:

**TAKE HOME ACTIVITY**• Draw a circle on a piece of paper. Ask your child to draw a line so the circle shows 2 equal shares

### Equal or Unequal Parts Homework & Practice 12.8

Color the shapes that show unequal shares.

Question 1.

Answer:

Color the shapes that show equal shares.

Question 2.

Answer:

**Problem Solving**

Draw lines to show the parts.

Question 3.

4 equal shares

Answer:

Question 4.

**WRITE**

Draw two rectangles. Draw lines on one rectangle to show equal parts. Draw lines on the other rectangle to show unequal parts.

Answer: First rectangle is

second rectangle is

**Lesson Check**

Question 1.

Color the shape that shows unequal shares.

Answer:

**Spiral Review**

Question 2.

Which food did the most children choose?

Circle your answer.

Answer: Most of the children chose Pancakes, Because it has the highest number of 6 children

Question 3.

Use the graph. How many children chose

__________ children

Answer: The number of children whos chose stuffed animals are 4 members .

### Lesson 12.9 Halves

**Essential Question** How can a shape be separated into two equal shares?

**Listen and Draw**

Draw to solve

Answer: First equal share =

second equal share =

**MATHEMATICAL PRACTICES**

Analyze Will all four friends get the same amount of sandwich?

Answer: Yes all of them get the same amount of sandwich.

Explanation:

Two friends share the sandwich on the left, they cut the sandwich so each gets an equal share.

Two other friends share the sandwich on the right, this sandwich be cut a different way so each friend gets an equal share.

**Share and Show**

Draw a line to show halves.

Question 1.

Answer:

Question 2.

Answer:

Question 3.

Answer:

Question 4.

Answer:

**On Your Own**

**MATHEMATICAL PRACTICE** Analyze Relationships Circle the shapes that show halves.

Question 5.

Answer: This shape has equal shares

Question 6.

Answer: This shape has unequal shares

Question 7.

Answer: This shape has equal shares

Question 8.

Answer: This shape has equal shares

Question 9.

Answer: This shape has equal shares

Question 10.

Answer: This shape has equal shares

Question 11.

Answer: This shape has equal shares

Question 12.

Answer: This shape has equal shares

Question 13.

Answer: This shape has unequal shares

Question 14.

**THINK SMARTER**

Use the picture.

Write numbers to solve

The picture shows ______ halves.

The _____ equal shares make _____ whole.

Answer: The picture shows 2 halves.

The 2 equal shares make 1 whole.

**Problem Solving • Applications**

Draw or write to solve.

Question 15.

Color half of each shape.

Answer:

Question 16.

Linus cut a circle into equal shares. He traced one of the parts. Write half of or halves to name the part.

Answer:

Question 17.

**GO DEEPER**

Draw three different ways to show halves.

Answer:

Question 18.

**THINK SMARTER**

Circle the shapes that show halves.

Answer:

**TAKE HOME ACTIVITY** • Draw a rectangle on a piece of paper. Ask your child to draw a line to show halves.

### Halves Homework & Practice 12.9

Circle the shapes that show halves.

Question 1.

Answer: This shape has equal shares

Question 2.

Answer: This shape has equal shares

Question 3.

Answer: This shape has equal shares

Question 4.

Answer: This shape has unequal shares

Question 5.

Answer: This shape has equal shares

Question 6.

Answer: This shape has unequal shares

**Problem Solving**

Draw or write to solve.

Question 7.

Kate cut a square into equal shares. She traced one of the parts. Write half of or halves to name the part.

Answer:

Question 8.

**WRITE**

Draw a circle and separate it into halves. Color each half a different color.

Answer:

**Lesson Check**

Question 1.

Circle the shape that shows halves.

Answer:

**Spiral Review**

Question 2.

Circle the new shape you can make.

Answer:

Question 3.

Circle the shape that has both flat and curved surfaces.

Answer: A Cylinder shape has both flat and curved surfaces.

Question 4.

How many ∆ do you use to make a ?

Draw to show your answer.

Answer:

3 triangles make a 1 trapezoid.

6 triangles make 1 Hexagon.

### Lesson 12.10 Fourths

**Essential Question** How can a shape be separated into four equal shares?

**Listen and Draw**

Use what you know about halves.

Draw to solve. Write how many.

There are _____ equal shares.

Answer: There are 2 equal share.

**MATHEMATICAL PRACTICES**

Explain How did you decide how to cut the pizza?

Answer: There are 4 equal shares.

Explanation:

Two friends will share a pizza, Then two more friends come. Now four friends will share the pizza.

The pizza can be cut into 4 equal pieces so each friend gets an equal share.

**Share and Show**

Color a fourth of the shape.

Question 1.

Answer:

Question 2.

Answer:

Question 3.

Answer:

Color a quarter of the shape.

Question 4.

Answer:

Question 5.

Answer:

Question 6.

Answer:

**On Your Own**

**MATHEMATICAL PRACTICE** Use Diagrams Circle the shapes that show fourths.

Question 7.

Answer:

Question 8.

Answer:

Question 9.

Answer: There are no fourths in this shape because, it is divided in to two equal shares.

Question 10.

Answer: There are no fourths in this shape because, it is divided in to two equal shares.

Question 11.

Answer:

Question 12.

Answer:

Question 13.

Answer:

Question 14.

Answer: There are no fourths in this shape because, it is divided in to unequal shares.

Question 15.

Answer: There are no fourths in this shape because, it is divided in to unequal shares.

Question 16.

**GO DEEPER**

Draw three different ways to show fourths.

Answer:

**Problem Solving • Applications**

Solve.

Question 17.

Write halves, fourths, or quarters to name the equal shares.

Answer:

Question 18.

**THINK SMARTER**

Circle the shape that shows quarters.

Answer:

Explanation:

Question 19.

**THINK SMARTER+**

Alano has a small pizza.

He wants to share the pizza with friends.

He cuts the pizza into fourths.

Draw lines to show how he cuts the pizza.

How many equal shares did you draw? ______

How many halves can you show in a circle? _______

Tell how you can solve this problem in a different way.

Answer: He has 4 equal shares

and we can show 2 halves in a circle.

Explanation:

He has 4 equal shares

and we can show 2 halves in a circle.

**TAKE HOME ACTIVITY** • Draw a circle on a piece of paper. Ask your child to draw lines to show fourths.

### Fourths Homework & Practice 12.10

Circle the shapes that show fourths.

Question 1.

Answer: There are no fourths in this shape because, it is divided in to unequal shares.

Question 2.

Answer:

Question 3.

Answer:

Question 4.

Answer:

Question 5.

Answer: There are no fourths in this shape because, it is divided in to unequal shares.

Question 6.

Answer:

**Problem Solving**

Solve.

Question 7.

Chad drew a picture to show a quarter of a circle. Which shape did Chad draw? Circle it.

Answer:

Explanation:

Question 8.

**WRITE**

Draw two squares. Draw lines to show fourths. Color a fourth of the first square. Color the second square to show a whole.

Answer:

**Lesson Check**

Question 1.

Circle the shape that shows fourths.

Answer:

**Spiral Review**

Question 2.

What shapes did Leila use to build the wall? Circle the shapes she used.

Answer:

Question 3.

Use the graph to answer the question. How many fewer children answered yes than no?

________ fewer children

Answer: 2 fewer children answered yes than no

### Two-Dimensional Geometry Review/Test

Question 1.

Which shapes have only 3 sides?

Choose all that apply.

Answer:

Question 2.

Circle the number that makes the sentence true.

Answer:

Question 3.

Use pattern blocks. Draw to show the blocks you used.

Answer:

Here we used 2 trapezoids to form a Hexagon.

Question 4.

Circle two shapes that can combine to make this new shape.

Answer:

Question 5.

THINK SMARTER+

Answer: No.

Explanation:

We need four quarters to form a whole circle.

Question 6.

Use 4 pattern blocks to fill the shape.

Draw to show the blocks you used.

Answer:

Question 7.

Draw a line to show the parts.

Answer:

Question 8.

Does the shape show equal shares? Choose Yes or No.

Answer:

Question 9.

Circle the shapes that show halves.

Answer:

Question 10.

GO DEEPER

Draw lines to show fourths.

How many equal shares did you draw?

☐

How many halves can you show in a rectangle?

☐

Tell how you can solve this problem in a different way.

Answer: we have 4 equal shares.

we can have 2 halves in a rectangle.