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Lesson 24

NYS COMMON CORE MATHEMATICS CURRICULUM

Lesson 24:Percentand Rates per 100
Classwork
Exercise 1
Robb’s Fruit Farm consists of
acres, on which three different types of apples grow. On
acres, the farm grows
Empire apples. McIntosh apples grow on
of the farm. The remainder of the farm grows Fuji apples. Shade in the
grid below to represent the portion of the farm each apple type occupies. Use a different color for each type of apple.
Create a key to identify which color represents each type of apple.
Color Key

Part-to-Whole Ratio

Empire _______________

_____________________________

McIntosh _____________

_____________________________

Fuji

_____________________________

______________

Exercise 2
The shaded portion of the grid below represents the portion of a granola bar remaining.
What percent does each square of granola bar
represent?

What percent of the granola bar remains?

What other ways can we represent this percent?

Lesson 24:
Date:
©2013CommonCore,Inc. Some rights reserved.commoncore.org

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Percent and Rates per 100
11/12/13

S.104
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Lesson 24

NYS COMMON CORE MATHEMATICS CURRICULUM

6•1

Exercise 3

a.

What percent is being modeled in each picture? Write your answer as a decimal, fraction, and percent.

Picture a

Picture b

b.

What ratio is being modeled in each picture?

c.

Picture c

How are the ratios and percentages related?

Lesson 24:
Date:
©2013CommonCore,Inc. Some rights reserved.commoncore.org

Percent and Rates per 100
11/12/13

S.105
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Lesson 24

NYS COMMON CORE MATHEMATICS CURRICULUM

6•1

Exercise 4
Complete the table.
Percentage

Decimal

Lesson 24:
Date:
©2013CommonCore,Inc. Some rights reserved.commoncore.org

Fraction

Ratio

Model

Percent and Rates per 100
11/12/13

S.106
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
NYS COMMON CORE MATHEMATICS CURRICULUM

Lesson 24

6•1

Exercise 5
Mr. Brown shares with the class that
of the students got an A on the English vocabulary quiz. If Mr. Brown has
students, create a model to show how many of the students passed.

Lesson 24:
Date:
©2013CommonCore,Inc. Some rights reserved.commoncore.org

Percent and Rates per 100
11/12/13

S.107
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
Lesson 24

NYS COMMON CORE MATHEMATICS CURRICULUM

6•1

What fraction of the students passed the class?

How could we represent this amount using a decimal?

How are the decimal, the fraction, and the percent all related?

Exercise 6
Marty owns a lawn mowing service. He has
lawns to mow this week and three people to mow them. Use the
grid to model what percentage of the work each employee will complete this weekend.

Worker

Percentage

Fraction

Decimal

Sheila

Marquis

Luther
Color over the name with the same color you used in the diagram.

Lesson 24:
Date:
©2013CommonCore,Inc. Some rights reserved.commoncore.org

Percent and Rates per 100
11/12/13

S.108
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
6•1

Lesson 24

NYS COMMON CORE MATHEMATICS CURRICULUM

Lesson Summary
Percentmeans out of

. Therefore, percents are fractions with a denominator of

We can create models of percents. One example would be to shade a
represents
or

.

grid. Each square in a

grid

Problem Set
1.

Marissa just bought 100 acres of land. She wants to grow apples, peaches, and cherries on her land. Color the model
to show how many acres she will use for each type of tree that she will grow.

Fruit

Percentage

Fraction

Decimal

Apple

Peach

Cherry

2.

After renovations on Kim’s bedroom, only 30 percent of one wall is left without any décor.Shade the wall to
represent the space that is left to decorate.
a.

What does each square represent?

b.

What percent has been decorated?

Lesson 24:
Date:
©2013CommonCore,Inc. Some rights reserved.commoncore.org

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Percent and Rates per 100
11/12/13

S.109
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.

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G6 m1-d-lesson 24-s

  • 1. 6•1 Lesson 24 NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 24:Percentand Rates per 100 Classwork Exercise 1 Robb’s Fruit Farm consists of acres, on which three different types of apples grow. On acres, the farm grows Empire apples. McIntosh apples grow on of the farm. The remainder of the farm grows Fuji apples. Shade in the grid below to represent the portion of the farm each apple type occupies. Use a different color for each type of apple. Create a key to identify which color represents each type of apple. Color Key Part-to-Whole Ratio Empire _______________ _____________________________ McIntosh _____________ _____________________________ Fuji _____________________________ ______________ Exercise 2 The shaded portion of the grid below represents the portion of a granola bar remaining. What percent does each square of granola bar represent? What percent of the granola bar remains? What other ways can we represent this percent? Lesson 24: Date: ©2013CommonCore,Inc. Some rights reserved.commoncore.org .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 Percent and Rates per 100 11/12/13 S.104 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
  • 2. Lesson 24 NYS COMMON CORE MATHEMATICS CURRICULUM 6•1 Exercise 3 a. What percent is being modeled in each picture? Write your answer as a decimal, fraction, and percent. Picture a Picture b b. What ratio is being modeled in each picture? c. Picture c How are the ratios and percentages related? Lesson 24: Date: ©2013CommonCore,Inc. Some rights reserved.commoncore.org Percent and Rates per 100 11/12/13 S.105 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
  • 3. Lesson 24 NYS COMMON CORE MATHEMATICS CURRICULUM 6•1 Exercise 4 Complete the table. Percentage Decimal Lesson 24: Date: ©2013CommonCore,Inc. Some rights reserved.commoncore.org Fraction Ratio Model Percent and Rates per 100 11/12/13 S.106 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
  • 4. NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 24 6•1 Exercise 5 Mr. Brown shares with the class that of the students got an A on the English vocabulary quiz. If Mr. Brown has students, create a model to show how many of the students passed. Lesson 24: Date: ©2013CommonCore,Inc. Some rights reserved.commoncore.org Percent and Rates per 100 11/12/13 S.107 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
  • 5. Lesson 24 NYS COMMON CORE MATHEMATICS CURRICULUM 6•1 What fraction of the students passed the class? How could we represent this amount using a decimal? How are the decimal, the fraction, and the percent all related? Exercise 6 Marty owns a lawn mowing service. He has lawns to mow this week and three people to mow them. Use the grid to model what percentage of the work each employee will complete this weekend. Worker Percentage Fraction Decimal Sheila Marquis Luther Color over the name with the same color you used in the diagram. Lesson 24: Date: ©2013CommonCore,Inc. Some rights reserved.commoncore.org Percent and Rates per 100 11/12/13 S.108 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.
  • 6. 6•1 Lesson 24 NYS COMMON CORE MATHEMATICS CURRICULUM Lesson Summary Percentmeans out of . Therefore, percents are fractions with a denominator of We can create models of percents. One example would be to shade a represents or . grid. Each square in a grid Problem Set 1. Marissa just bought 100 acres of land. She wants to grow apples, peaches, and cherries on her land. Color the model to show how many acres she will use for each type of tree that she will grow. Fruit Percentage Fraction Decimal Apple Peach Cherry 2. After renovations on Kim’s bedroom, only 30 percent of one wall is left without any décor.Shade the wall to represent the space that is left to decorate. a. What does each square represent? b. What percent has been decorated? Lesson 24: Date: ©2013CommonCore,Inc. Some rights reserved.commoncore.org .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 .01 Percent and Rates per 100 11/12/13 S.109 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.