All the solutions provided in **McGraw Hill My Math Grade 3 Answer Key PDF Chapter 14 Lesson 7 Partition Shapes **will give you a clear idea of the concepts.

## McGraw-Hill My Math Grade 3 Answer Key Chapter 14 Lesson 7 Partition Shapes

**Math in My World**

**Example 1**

Victoria will plant 4 different vegetables in her, rectangular garden. If she wants to partition the garden into 4 equal sections, what fraction of the garden’s area will be used for each vegetable?

1. Draw a rectangle to represent the garden’s area.

2. Partition the rectangle into 4 equal sections. Explain how you partitioned the rectangle.

What unit fraction of the garden’s area will be used for each vegetable?

Answer:

Victoria will plant 4 different vegetables in her rectangular garden.

She wants to partition the garden into 4 equal sections.

The garden is partitioned into 4 equal parts.

The unit fraction of the garden area that will be used for each garden is 1/4.

**Example 2**

Partition a hexagon into 6 equal sections. What fraction of the hexagon’s area does each section represent?

1. Draw a hexagon.

2. First partition the hexagon into 2 equal sections. Then partition each section into 3 equal sections.

What unit fraction of the hexagon’s area does each section represent?

Answer:

Given that,

The unit fraction of the hexagon’s area for each section represents is 1/4.

**Talk Math**

Explain how you would partition a pizza so that you and seven friends each get an equal share.

Answer:

The pizza is partitioned into seven equal parts using the same area.

The unit fraction of each section is 1/7.

**Guided Practice**

Question 1.

Partition the circle into 4 equal sections. What unit fraction of the circle’s area does each section represent?

Each section has an area that is of the total area of the circle.

Answer:

Partition the circle into 4 equal sections.

Each section has an area that is 1/4 of the total area of the circle.

**Independent Practice**

**Partition each figure as indicated. Then write the unit fraction of the figure’s area that each equal section represents.**

Question 2.

6 equal sections

Answer:

Here the rectangle is divided into 6 equal sections.

The unit fraction of each equal section is 1/6.

Question 3.

2 equal sections

Answer:

Here the circle is divided into 2 equal sections.

The unit fraction of each equal section is 1/2.

Question 4.

2 equal sections

Answer:

Here the hexagon is divided into 2 equal sections.

The unit fraction of each equal section is 1/2.

Question 5.

6 equal sections

Answer:

Here the circle is divided into 6 equal sections.

The unit fraction of each section is 1/6.

Question 6.

3 equal sections

Answer:

Here the rectangle is divided into 3 equal sections.

The unit fraction of each section is 1/3.

Question 7.

8 equal sections

Answer:

Here the rectangle is divided into 8 equal sections.

The unit fraction of each section is 1/8.

Question 8.

Draw a square. Partition it into 4 equal sections. What unit fraction of the whole represents the area of each section?

Answer:

Here we have drawn the square into 4 equal sections.

The unit fraction of the area of each section is 1/4.

Question 9.

Draw a rectangle. Partition it into 5 equal sections. What unit fraction of the whole represents the area of each section?

Answer:

Here we have drawn the rectangle into 5 equal sections.

The unit fraction of the area of each section is 1/5.

**Problem Solving**

Question 10.

Loretta and her 3 friends are helping paint a rectangular wall in the school. They decide to partition the wall into 4 equal sections. Each friend will paint one section. What unit fraction of the wall’s area will each friend paint?

Answer:

Given that,

Loretta and her 3 friends are helping to paint a rectangular wall in the school.

They decide to partition the wall into 4 equal sections.

Each friend paints each section.

Therefore the unit fraction of the wall’s area that each friend painted is 1/4.

Question 11.

Colton drew a pentagon. He partitioned the pentagon into 10 equal sections. What unit fraction of the whole represents the area of each section? my Color?

Answer:

Given that,

Colton drew a pentagon.

He partitioned the pentagon into 10 equal sections.

The unit fraction of the area of each section is 1/10.

**HOT Problems**

Question 12.

**Mathematical PRACTICE** Make Sense of Problems The area of a rectangular piece of fabric is 24 square inches. The fabric will be partitioned into sections of equal area. Each section will have an area that is \(\frac{1}{4}\) of the total area. How many square inches of area will each section have?

Answer:

Given that,

The area of a rectangular piece of fabric is 24 square inches.

The fabric is divided into sections of equal area.

Each section has an area of \(\frac{1}{4}\) of the total area.

Here 4 x 6 = 24.

Therefore the square inches of each section is 6.

Question 13.

**Mathematical PRACTICE** Which One Doesn’t Belong? Circle the figure for which each section represents \(\frac{1}{6}\) of its total area.

Answer:

The circled figure represents the \(\frac{1}{6}\) of its total area.

Question 14.

**Building on the Essential Question** How do I partition shapes into parts with equal areas in everyday life?

Answer:

Partition the shapes using the equal area.

If you partition the square into 4 equal sections. The area of each section is 1/4.

### McGraw Hill My Math Grade 3 Chapter 14 Lesson 7 My Homework Answer Key

**Practice**

**Partition each figure as indicated. Then write the unit fraction of the figure’s area that each equal section represents.**

Question 1.

3 equal sections

Answer:

The rectangle is divided into 3 equal sections.

the unit fraction of each section is 1/3.

Question 2.

2 equal sections

Answer:

The hexagon is divided into 2 sections.

The unit fraction of each section is 1/2.

Question 3.

4 equal sections

Answer:

The parallelogram is divided into 4 equal sections.

The unit fraction of each section is 1/4.

Question 4.

3 equal sections

Answer:

The quadrilateral is divided into 3 equal sections.

The unit fraction of each section is 1/3.

**Problem Solving**

Question 5.

**Mathematical PRACTICE** Use Math Tools Nicholas and his 2 friends are raking leaves in his rectangular backyard. They decide to partition the yard into 3 equal sections. Each friend will rake one section. Partition the rectangle into 3 equal sections. Label each section with its unit fraction.

Answer:

Given that,

Nicholas and his 2 friends are raking leaves in his rectangular backyard.

They decide to partition the box into 3 equal yards.

The unit fraction of each yard of the rectangle is 1/3.

Question 6.

Partition the hexagon into 4 equal sections. What unit fraction of the hexagon’s area does each section represent?

Answer:

Given that,

Partition the hexagon into 4 equal sections.

The unit fraction of the hexagon area of each section is 1/4.

Question 7.

**Mathematical PRACTICE** Reason Draw a circle. Partition the circle into six equal sections. What unit fraction of the total area is each section?

Answer:

Given that,

First, draw the circle.

Partition the circle into six equal sections.

The unit fraction of the total area in each section is 1/6.

**Test Practice**

Question 8.

For art class, each student was given a piece of paper in the shape of a rectangle. Mrs. Brucker asked the students to partition the paper into 8 equal sections. What unit fraction of the paper’s area will each section have?

(A) \(\frac{1}{2}\)

(B) \(\frac{1}{3}\)

(C) \(\frac{1}{6}\)

(D) \(\frac{1}{8}\)

Answer:

Given that,

In the art class, each student has given a piece of paper in the shape of a rectangle.

Mrs. Brucker asked the students to partition the paper into 8 equal sections.

Therefore the unit fraction of the paper of each section is 1/8.

Option D is the correct answer.