7th Grade Percents 2015-11-30 www.njctl.org Slide 3 / 157 Slide - PDF document

Slide 1 / 157 Slide 2 / 157 7th Grade Percents 2015-11-30 www.njctl.org Slide 3 / 157 Slide 3 (Answer) / 157 Table of Contents Table of Contents Click on the topic to go to that section Click on the topic to go to that section Relating Fractions, Decimals and Percents Relating Fractions, Decimals and Percents Vocabulary Words are bolded Three Types of Percent Problems Three Types of Percent Problems Teacher Notes in the presentation. The text Percent of Change Percent of Change box the word is in is then Representing Percent Equations Algebraically Representing Percent Equations Algebraically linked to the page at the end of the presentation with the Applied Percent of Decrease Applied Percent of Decrease word defined on it. Applied Percent of Increase Applied Percent of Increase [This object is a pull tab] Real-life Application Problems Real-life Application Problems Glossary Glossary Slide 4 / 157 Slide 5 / 157 Helping you remember... Fill in each box below with an example of the process described. % to a fraction % to a decimal Relating Fractions, Decimals & Percents fraction to a % decimal to a % Return to table of contents

Slide 6 / 157 Slide 7 / 157 Ordering 1 Find the lowest value. Order the numbers from least to greatest. 0.15 12.5% 0.095 A 5% B 1/2 In order to do this, they must all be in the same form. Let's turn them all into percents: C .5% 15% 12.5% 16% 9.5% D .05 So least to greatest: 9.5% 12.5% 15% 16% 0.095 12.5% 0.15 Slide 7 (Answer) / 157 Slide 8 / 157 2 Find the greatest value. 1 Find the lowest value. A 120% A 5% Answer B 1.02 C B 1/2 C .2% C .5% D 1.19 D .05 [This object is a pull tab] Slide 8 (Answer) / 157 Slide 9 / 157 2 Find the greatest value. 3 Find the greatest value. A 120% A 6% B Answer 1.02 B .6 A C .2% C 60 D 1.19 D 6 [This object is a pull tab]

Slide 9 (Answer) / 157 Slide 10 / 157 4 Find the lowest value. 3 Find the greatest value. A 2% A 6% B .2 B .6 Answer C .02 C C 60 D .2% D 6 [This object is a pull tab] Slide 10 (Answer) / 157 Slide 11 / 157 5 Find the lowest value. 4 Find the lowest value. A A 2% 50% B .2 Answer B 500% D C .02 C 50.0 D .2% D 50.01 [This object is a pull tab] Slide 11 (Answer) / 157 Slide 12 / 157 5 Find the lowest value. A 50% Answer B 500% A C 50.0 D 50.01 [This object is a pull tab]

Slide 13 / 157 Slide 14 / 157 Examples 6 Express as a fraction. Express each fraction as a percent: 1) 2) 3) click click click Slide 14 (Answer) / 157 Slide 15 / 157 6 Express as a fraction. 7 Express as a decimal. Answer 37 200 [This object is a pull tab] Slide 15 (Answer) / 157 Slide 16 / 157 7 Express as a decimal. 8 Express as a percent. Answer 0.167 [This object is a pull tab]

Slide 16 (Answer) / 157 Slide 17 / 157 8 Express as a percent. 9 Express as a decimal. Answer 34.5% [This object is a pull tab] Slide 17 (Answer) / 157 Slide 18 / 157 9 Express as a decimal. 10 Express as a percent. Answer 0.075 [This object is a pull tab] Slide 18 (Answer) / 157 Slide 19 / 157 10 Express as a percent. 11 Express as a percent. Answer 81.25% [This object is a pull tab]

Slide 19 (Answer) / 157 Slide 20 / 157 11 Express as a percent. Answer 72.727% Three Types of Percent Problems [This object is a pull tab] Return to table of contents Slide 21 / 157 Slide 22 / 157 Types of Percent Problems Types of Percent Problems Two words that will occur in these types of problems are: " is " Remember, percents are "parts of a whole". The part is the numerator and the whole is the denominator. " of " These words have specific meanings in math. 17% means 17 parts per 100 or "Is" means equals (=) · "Of" means multiply · We are going to solve problems involving percents. To solve a percent problem, translate the words into an equation. There are 3 types of problems: Change the following: 1. Find the part What number is 54% of 34? 1. Percent into a decimal 2. "is" to "=" 2. Find the whole 4 is 60% of what number? 3. "of" to " " 3. Find the percent 18 is what percent of 28? 4. Unknown to "x" Then, solve the equation. Slide 23 / 157 Slide 24 / 157 Find the Part Examples: Find 40% of 60 Finding the Part... Write a mathematical sentence .40 60 = 24 Click 20% of 90 Write a mathematical sentence .20 90 = 18 Click

Slide 25 / 157 Slide 25 (Answer) / 157 Write a Mathematical Sentence Write a Mathematical Sentence What is 10% of 88? What is 10% of 88? X = .10 88 X = .10 88 X = 8.8 X = 8.8 Answer Try these: Try these: Find 12% of 70 What is 40% of 28? Find 12% of 70 What is 40% of 28? [This object is a pull tab] Slide 26 / 157 Slide 27 / 157 Slide 28 / 157 Slide 29 / 157 Proportion Method Proportion Method Example Example: What is 25% of 400? Steps Steps % is = % is = 1. Set up the proportion as shown. ? 25 1. Set up the proportion. of 100 100 of 400 100 Note: You can use this box to solve many problems involving percents! 2. Substitute. Click on each box to see if you substituted correctly. 2. Substitute given values into the proportion. What is 25% of 400? Note: Try to find the numbers that are attached to the 3. Solve. words/symbols: is, of, or percent. click 400 x 25 = 100w 3. Solve the proportion. 10,000 = 100w 10,000/100 = w 100 = w

Slide 30 / 157 Slide 31 / 157 Proportion Method Example Proportion Method - Try It Example: What is 32% of 300? Try it: What is 20% of 180? Steps Steps % % is = is = ? 1. Set up the proportion. 32 1. Set up the proportion. 100 100 of 100 of 300 2. Substitute. Click on each box to see if 2. Substitute. you substituted correctly. What is 32% of 300? 3. Solve. 3. Solve. 300 x 32 = 100w click 9,600 = 100w 9600/100 = w 96 = w Slide 31 (Answer) / 157 Slide 32 / 157 Proportion Method - Try It 12 Find 30% of 45. Try it: What is 20% of 180? Steps = % is 1. Set up the proportion. 100 of Answer 2. Substitute. 36 3. Solve. [This object is a pull tab] Slide 32 (Answer) / 157 Slide 33 / 157 12 Find 30% of 45. 13 What is 15% of 90? Answer 13.5 [This object is a pull tab]

Slide 33 (Answer) / 157 Slide 34 / 157 13 What is 15% of 90? 14 Find the greater value. A 20% of 16 B 10% of 90 Answer C 25% of 40 13.5 D 100% of 7 [This object is a pull tab] Slide 34 (Answer) / 157 Slide 35 / 157 14 Find the greater value. 15 Find the greater value. A 20% of 16 A 2% of 1000 B 10% of 90 B 5% of 500 C 25% of 40 Answer C 10% of 300 C D 100% of 7 D 15% of 100 [This object is a pull tab] Slide 35 (Answer) / 157 Slide 36 / 157 15 Find the greater value. 16 Identify any values that are equal. A 2% of 1000 A What is 40% of 80? B 5% of 500 B 60% of 70 C 10% of 300 C 25% of 128 Answer C D 15% of 100 D 200% of 16 [This object is a pull tab]

Slide 36 (Answer) / 157 Slide 37 / 157 16 Identify any values that are equal. A What is 40% of 80? B 60% of 70 Answer C 25% of 128 A,C,D Finding the Whole... D 200% of 16 [This object is a pull tab] Slide 38 / 157 Slide 39 / 157 Finding the Whole Finding the Whole Remember, you can solve this by: Try This: 1. Translating into an equation 100 is 20% of what number? 2. Setting up a proportion 100 = .20 x 40% of what number is 50? .40 X = 50 100 = x .20 X = 50 x = 500 .40 X = 125 Slide 40 / 157 Slide 40 (Answer) / 157 17 56 is 70% of what? 17 56 is 70% of what? Answer 80 [This object is a pull tab]

Slide 41 / 157 Slide 41 (Answer) / 157 18 12% of what number is 6? 18 12% of what number is 6? Answer 50 [This object is a pull tab] Slide 42 / 157 Slide 42 (Answer) / 157 19 65% of what number is 10? 19 65% of what number is 10? Answer 15.385 [This object is a pull tab] Slide 43 / 157 Slide 43 (Answer) / 157 20 27 is 150% of what number? 20 27 is 150% of what number? Answer 18 [This object is a pull tab]

Slide 44 / 157 Slide 44 (Answer) / 157 21 1% of what number is 12? 21 1% of what number is 12? Answer 1,200 [This object is a pull tab] Slide 45 / 157 Slide 46 / 157 Finding the Percent Remember, you can solve this by: 1. Translating into an equation 2. Setting up a proportion Finding the Percent... What percent of 80 is 24? x 80 = 24 X = 24 80 X = .30 X = 30% Slide 47 / 157 Slide 48 / 157 Finding the Percent 22 What percent of 3 is 12? 60 is what percent of 15? 60 = x 15 60 = X 15 4 = X 400% = X

Slide 48 (Answer) / 157 Slide 49 / 157 22 What percent of 3 is 12? 23 30 is what percent of 36? Answer 400% [This object is a pull tab] Slide 49 (Answer) / 157 Slide 50 / 157 23 30 is what percent of 36? 24 What percent of 18 is 180? Answer 83.3% [This object is a pull tab] Slide 50 (Answer) / 157 Slide 51 / 157 24 What percent of 18 is 180? 25 2 is what percent of 1? Answer 1000% [This object is a pull tab]