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.