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Percents and Rates

Videos and solutions to help Grade 6 students learn how percents and rates are related.

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New York State Common Core Math Module 1, Grade 6, Lesson 24

Lesson 24 Student Outcomes

• Students understand that percents are related to part-to-whole ratios and rates where the whole is 100.
• Students model percents and write a percent as a fraction over 100 or a decimal to the hundredths place.

Lesson 24 Summary

• Percent means out of 100. Therefore, percents are fractions with a denominator of 100.
We can create models of percents. One example would be to shade a 10 x 10 grid. Each square in a 10 x 10 grid represents 1% or 0.01.

Lesson 24 Classwork

Exercise 1
Robb’s Fruit Farm consists of 100 acres, on which three different types of apples grow. On 25 acres, the farm grows Empire apples. McIntosh apples grow on 30% 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.

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?

Exercise 3
a. What percent is being modeled in each picture? Write your answer as a decimal, fraction, and percent.
b. What ratio is being modeled in each picture?
c. How are the ratios and percents related?

Exercise 4
Complete the table.

Exercise 5
Mr. Brown shares with the class that of the students got an A on the English vocabulary quiz. If Mr. Brown has 100 students, create a model to show how many of the students passed.
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 100 lawns to mow this week and three people to mow them. Use the 10 x 10 grid to model what percentage of the work each employee will complete this weekend.

Percent and Rates Per 100

Lesson 24 Exit Ticket

One hundred offices need to be painted. The workers choose between yellow, blue, or beige paint. They decide that 45% of the offices will be painted yellow; 28% will be painted blue, and the remaining offices will be painted beige. Create a model that shows the percent of offices that will be painted by each color. Write the amounts as decimals and fractions. 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.

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?

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
Mathway Calculator Widget

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