Percent Full Unit

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

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

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

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

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

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.

Example 1 Find 5% of 300 by writing the percent as a fraction. Step 1: Write 5% as 5 100 𝑜𝑟 1 20 . Step 2: Find 1 20 of 300. 1 20 of 300 = 1 20 (300) = 1 20 300 1 = 15 So 5% of 300 is 15. 15 1

Example 2 Find 25% of 180 by writing the percent as a decimal. Step 1: Write 25% as 0.25. Step 2: Multiply 0.25 and 180. 180 x 0.25 900 + 360 45.00 So, 25% of 180 is 45.

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

Use Percents Greater than 100% Percents that are greater than 100% can be written as improper fractions, mixed numbers, or decimals greater than 1. 150%= 150 100 = 3 2 =1 1 2 =1.5

Example 3 Find 120% of 75 by writing the percent as a fraction. Step 1: Write 120% as 120 100 𝑜𝑟 6 25 . Step 2: Find 6 5 of 75. 6 5 of 75 = 6 5 (75) = 6 5 75 1 = 90 So 120% of 75 is 90. 15 1

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 28. 28 x 1.5 140 + 280 42.0 So, 150% of 25 is 42.

On your own. Find each number. 150% of 20 b) 160% of 35 30 56

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) = 63.25 So, about 63 students can be expected to have 3 televisions each.

Find each number. Round to the nearest tenth if necessary. 8% of 50 = 2. 95% of 40 = 3. 110% 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.

Monday Homework. Find each number. Round to the nearest tenth if necessary. SHOW ALL WORK 65% of 186 = _______ 2. 45% of $432 = _______ 3. 23% of $640 = _______   130% of 20 = _______ 5. 175% of 10 = _______ 6. 150% of 128 = _______ 32% of 4 = _______ 8. 5.4% of 65 = _______ 9. 23.5% of 128 = _______

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.

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.

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

Example 2 Marita and four of her friends ordered a pizza that cost $14.72. 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

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

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.

Example 3 Estimate 122% of 50. 122% is about 120%. 120% of 50 = 100% of 15 + 20$ of 50 = = 50 + 10 = 60 So, 122% of 50 is about 60. 1∙50 + 1 5 ∙50

On your own 1. 174% of 200 2. 298% of 45 3. 347 % of 18 350 280 135

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%. 789 is about 800. 1% of 800 = 0.01 * 800 = 8 One fourth of 8 is ¼ * 8 = 2

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