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**Lesson Topic: Percent of a Quantity**

Lesson Objective: I can… Find the percent of a quantity. Given the part and the percent, I can solve problems involving the whole.

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Five of the 25 girl on Alden Middle School’s soccer team are 7th graders. Find the percentage of 7th graders on the team. Show 2 different ways of solving for the answer. One of the methods must include a diagram or picture model. Example 1:

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Of the 25 girls on the Alden Middle School soccer team , 40% also play on a travel team. How many of the girls on the middle school team also play on a travel team? Example 2:

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The Alden Middle School girls’ soccer team won 80% of their games this season. If the team won 12 games, how many games did they play? Solve the question using at least two different methods. Example 3:

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**Another way to solve percent of a quantity…**

is/of = %/100 What is 40% of 50? ?/50 = 40/100 40x = 5000 X = 125 Another way to solve percent of a quantity…

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**Percent of the Total Number of Exhibits**

There are 60 animal exhibits at the local zoo. What percent of the zoo’s exhibits does each animal class represent? Exhibits by Animals Number of Exhibits Percent of the Total Number of Exhibits Mammals 30 Reptiles and Amphibians 15 Fish and Insects 12 Birds 3 Exercise 1:

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**A sweater is regularly $32. It is 25% off the original price this week.**

a. Would the amount the shopper saved be considered the part, whole, or percent? b. How much would a shopper save by buying the sweater this week? Show two methods for finding your answer. Exercise 2:

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**A pair of jeans was 30% off the original price**

A pair of jeans was 30% off the original price. The sale resulted in a $24 discount. a. Is the original price of the jeans considered the whole, part, or percent? b. What was the original cost of the jeans before the sale? Show two methods for finding your answer. Exercise 3:

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**Exercise 4: Purchasing a TV that is 20% off will save $180.**

a. Name the different parts with the words: PART, WHOLE, PERCENT. 20% off $180 Original Price b. What was the original price of the TV? Show two methods for finding your answer. Exercise 4:

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**Models and diagrams can be used to solve percent problems**

Models and diagrams can be used to solve percent problems. Tape diagrams, 10×10 grids, double number line diagrams, and others can be used in a similar way to using them with ratios to find the percent, the part, or the whole. Lesson Summary:

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**1 2 3 4 How will you “Sharpen your saw”?**

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Section 7.5. 1. 2.5% of what number is 75? 2. What percent of 25 is 4? 3. If you buy a shirt that was originally $45 but it is on clearance for 25% off,

Section 7.5. 1. 2.5% of what number is 75? 2. What percent of 25 is 4? 3. If you buy a shirt that was originally $45 but it is on clearance for 25% off,

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