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Percents and Rates


Video Solutions to help Grade 6 students learn how to percents and rates are related.

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Common Core For Grade 6

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.

Lesson 24 Classwork

Percent and Rates Per 100

Exercise 4
Complete the table.

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.


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