This document is a lesson plan on solving percent problems. It includes examples of finding percentages of quantities, such as finding that 10% of 300 is 30 by moving the decimal place. It also includes problems where a part is given and students must find the whole, such as if 34 pages is 10% of a book then the whole book must be 340 pages. The lesson plan evaluates claims about calculating percentages and discounts. One claim is that taking multiple discounts sequentially is equivalent to taking the sum of the discounts from the original price, which students prove true by calculating discounts on a game purchase.

1. Module 1 Lesson 29 Solving Percent Problems.notebook
November 20, 2013
Lesson 28 Problem Set Sample Solutions
1. The Sparkling House Cleaning Company has cleaned 28 houses this week. If this number
represents 40% of the total number of houses they are contracted to clean, how many total
houses will the company clean by the end of the week?
The company will clean 70 houses by the end of the week.
70 houses
2. Joshua delivered 30 hives to the local fruit farm. If the farmer has paid to use 5% of the
total number of Joshua's hives, how many hives does Joshua have in all?
Joshua has 600 hives in all.
600 hives
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2. Module 1 Lesson 29 Solving Percent Problems.notebook
November 20, 2013
Module 1
Raos and Unit Rates
Topic D: Percents
Lesson 29: Solving Percent Problems
Student Outcomes
• Students find the percent of a quanty.
• Given a part and the percent, students solve problems involving finding the whole.
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3. Module 1 Lesson 29 Solving Percent Problems.notebook
November 20, 2013
Classwork p. S.127
Exploratory Challenge 1:
Claim: To ind 10% of a number all you need to do is move the decimal to the left once.
a. Make a prediction. Do you think the claim is true or false? _________ Explain why.
(use at least one model to solve)
b. Determine 10% of 300._________
c. Find 10% of 80. __________
d. Determine 10% of 64._________
d. Find 10% of 5.________
f. 10% of _____________ is 48.
g. 10% of _____________ is 6.
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4. Module 1 Lesson 29 Solving Percent Problems.notebook
November 20, 2013
h. Gary read 34 pages of a 340 pages book. What percent did he read?
i. Micah read 16 pages of his book. If this is 10% of the book, how many
pages are in the book?
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The claim is true. When I ind 10% of a number, I am really inding of the
10
amount or dividing by 10.
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5. Module 1 Lesson 29 Solving Percent Problems.notebook
November 20, 2013
j. Using the solutions to the problems above, what conclusions can you make about
the claim?
Claim: To ind 10% of a number all you need to do is move the decimal to the left once.
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6. Module 1 Lesson 29 Solving Percent Problems.notebook
November 20, 2013
Exploratory Challenge 2:
Claim: If an item is already on sale and then there is another discount taken off the
new price, this is the same as saving the sum of the two discounts from the original
price.
a. Make a prediction. Do you think the claim is true or false? Explain.
off
%
$200 is the original price
30
?
=
off
%
20
ff
%o
0
1
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7. Module 1 Lesson 29 Solving Percent Problems.notebook
November 20, 2013
Let's prove / disprove it: (use at least one model)
b. Sam purchased 3 games for $140 after a discount of 30%. What was the original price?
c. If Sam had used a 20% off coupon and opened a frequent shopper discount
membership to save 10%, would the games still have a total of $140?
first discount
second discount
$200 = original price
= first discount
= sale price
= second discount
= sale price
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8. Module 1 Lesson 29 Solving Percent Problems.notebook
November 20, 2013
Claim: If an item is already on sale and then there is another discount taken off the
new price, this is the same as saving the sum of the two discounts from the original
price.
Price with 30% discount: ______
Price with 20% & 10%discount: ______
The new sale price is $144
d. Do you agree with the claim? __________ Explain why or why not.
Create a new example to help support your claim. (see next page for set up)
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9. Module 1 Lesson 29 Solving Percent Problems.notebook
November 20, 2013
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10. Module 1 Lesson 29 Solving Percent Problems.notebook
November 20, 2013
Please take your exit ticket for lesson 29, close your binder,
and complete the exit ticket. This will be collected.
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11. Module 1 Lesson 29 Solving Percent Problems.notebook
November 20, 2013
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