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

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? 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? 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. 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.
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  Here the rectangle is divided into 6 equal sections.
The unit fraction of each equal section is 1/6.

Question 3.
2 equal sections  Here the circle is divided into 2 equal sections.
The unit fraction of each equal section is 1/2.

Question 4.
2 equal sections  Here the hexagon is divided into 2 equal sections.
The unit fraction of each equal section is 1/2.

Question 5.
6 equal sections  Here the circle is divided into 6 equal sections.
The unit fraction of each section is 1/6.

Question 6.
3 equal sections  Here the rectangle is divided into 3 equal sections.
The unit fraction of each section is 1/3.

Question 7.
8 equal sections  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? 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? 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?
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? 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?
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. 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?
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  The rectangle is divided into 3 equal sections.
the unit fraction of each section is 1/3.

Question 2.
2 equal sections  The hexagon is divided into 2 sections.
The unit fraction of each section is 1/2.

Question 3.
4 equal sections  The parallelogram is divided into 4 equal sections.
The unit fraction of each section is 1/4.

Question 4.
3 equal sections  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. 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? 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?
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) $$\frac{1}{8}$$