1. Percent
Full Unit

2. Monday Bellwork
The seventh-grade class at Fort Couch Middle School has a goal of selling 300 tickets to the annual student versus teacher basketball game. The eighth-grade class has a goal of selling 400 tickets. a. By the end of the first week the eighth grade students sold 30% of their goal. How many tickets has the eighth grade sold? b. The seventh grade sold 60% of their goal. How many tickets do the students still need to sell? Explain.
Percent
100 %
Tickets
Percent
100 %
Tickets
Start Notes

3. Tuesday Bellwork
The graph shows the results of a survey asking 500 teens about their allowances. How many teens did not receive between $10 and $20? Explain.
Percent
100 %
Teens
Check Homework

4. Wednesday Bellwork
Work with a partner to complete the graphic organizer about percent and bar diagrams. The first one is done for you. Describe the pattern in the table above. Use the pattern to find 80% of 150.
Percent
Rate per 100
Whole
Part
30%
30 100
150 45
40%
40 100
50%
50 100

5. Thursday Bellwork
Write a real-world problem form the bar diagrams shown. Then solve the problem. a) b)
10%
100 % 25
250
25%
100 % 15 60

6. Lesson 1 Percent of a Number
Some students are collecting money for a local pet shelter. The model shows that they have raised 60% of their $2,000 goal or $1,200.
Fill in the decimal and fractional equivalents
for each of the percents shown in the model.
Use the model to write two multiplication
sentences that are equivalent to
60% of 2,000 = 1,200.
Total Raised
Percent
Decimal
Fraction
2,000
100% 1
5 5 or 1
1,600
80%
1,200
60%
800
40%
400
20%
1 5 0%
4 5
0.80
3 5
0.60
2 5
0.40
0.20

7. Find the Percent of a Number
To find the percent of a number such as 60% of 2,000, you can use either of the following methods.
Write the percent as a fraction and then multiply.
Write the percent as a decimal and then multiply.

8. Example 1
Find 5% of 300 by writing the percent as a fraction. Step 1: Write 5% as 𝑜𝑟 Step 2: Find 1 20 of of 300 = 1 20 (300) = = 15 So 5% of 300 is 15. 15 1

9. Example 2
Find 25% of 180 by writing the percent as a decimal. Step 1: Write 25% as Step 2: Multiply 0.25 and x So, 25% of 180 is 45.

10. On your Own
Find the percent of each number. a. 40% of 70 b. 15% of 100 c. 55% of 160 d. 75% of 280 15 28
210 88

11. Use Percents Greater than 100%
Percents that are greater than 100% can be written as improper fractions, mixed numbers, or decimals greater than %= = 3 2 =1 1 2 =1.5

12. Example 3
Find 120% of 75 by writing the percent as a fraction. Step 1: Write 120% as 𝑜𝑟 Step 2: Find 6 5 of of 75 = 6 5 (75) = = 90 So 120% of 75 is 90. 15 1

13. Example 4
Find 150% of 28 by writing the percent as a decimal. Step 1: Write 150% as 1.5. Step 2: Multiply 1.5 and x So, 150% of 25 is 42.

14. On your own.
Find each number.
150% of b) 160% of 35

15. Example 5
Refer to the graph. If 275 student took the survey, how many can be expected to have 3 televisions each in their houses? 23% of 275 = 23% (275) = 0.23 (275) = So, about 63 students can be expected to have 3 televisions each.

16. Find each number. Round to the nearest tenth if necessary.
8% of 50 = % of 40 = % of 70=
4. Mackenzie wants to buy a backpack that costs $50. If the tax rate is 6.5%, how much tax will she pay?
5. Give an example of a real-world situation in which you would find the percent of a number.

17. Monday Homework.
Find each number. Round to the nearest tenth if necessary. SHOW ALL WORK
65% of 186 = _______ % of $432 = _______ % of $640 = _______
130% of 20 = _______ % of 10 = _______ % of 128 = _______
32% of 4 = _______ % of 65 = _______ % of 128 = _______

18. Monday Homework
10. Suppose there are 20 questions on a multiple-choice test. If 25% of the answers are choice B, how many answers are not choice B?
11. Refer to the graphic novel frame below. Find the dollar amount of the group discount each student would receive at each park.

19. Percent and estimation
Sometimes an exact answer is not needed when using percents. One way to estimate the percent of a number is to use a fraction.
Another method for estimating the percent of a number is first to find 10% of the number and then multiply.
70% = 7 * 10%
So, 70% equals 7 times 10% of a number.

20. Example 1
Jodi has paid 62% of the $500 she owes for her loan. Estimate 62% of 500.
62% of 500 ≈ 60% of 500 ≈
≈ 300
So, 62% of 500 is about 300.
3 5 ∙500

21. Example 2
Marita and four of her friends ordered a pizza that cost $ She is responsible for 20% of the bill. About how much money will she need to pay?
Step 1: Find 10% of $15.00
10% of $15.00 = 0.1 * $15.00
= $1.50
Step 2: Multiply.
20% of $15.00 is 2 times 10% of $15.00
2 * $1.50 = $3.00
So, Marita should pay about $3.00

22. On your own 1. Estimate 42% of 120.
2. Dante plans to put 80% of his paycheck into a savings account and spend the other 20%. His paycheck this week was $295. About how much money will he put into his savings account? 48
240

23. Percents greater than 100 or less than 1
You can also estimate percents of numbers when the percent is greater than 100 or les than 1.

24. Example 3 Estimate 122% of 50. 122% is about 120%.
120% of 50 = 100% of $ of 50 = =
= 60
So, 122% of 50 is about 60.
1∙ ∙50

25. On your own
1. 174% of % of % of 18
350
280
135

26. Example 4
There are 789 seventh grade students at Washington Middle School. About ¼ % of the seventh grade students have traveled overseas. What is the approximate number of seventh grade students that have traveled overseas? Explain
¼ % is one fourth of 1% is about 800.
1% of 800 = 0.01 * 800
= 8
One fourth of 8 is ¼ * 8 = 2

27. On your own
A county receives ¾ % of a state sales tax. About how much money would the county receive from the sale of a computer that costs $1,020.
$7.50