1. Transparency 8 Click the mouse button or press the Space Bar to display the answers.

2. Transparency 8a

3. 5-6 Finding Percent of Change

4. Video Tutor Help Finding percent of increaseFinding percent of increase (5-6) Finding percent of decreaseFinding percent of decrease (5-6) Finding percent of markupFinding percent of markup (5-6) Finding percent of discountFinding percent of discount (5-6) Percent of Change word problem

5. Video Tutor Help Writing percents as fractions Writing percents as decimals Writing decimals as percents Ordering rational numbers with percents Writing fractions as percents Finding a percent using proportions Finding part of a whole using proportions Find the whole amount using proportions Using percent equations to find part of a whole Using percent equations to find a whole amount Finding sales tax Estimating using percents such as tips Finding simple interest Finding percent of increase Finding percent of markup Finding percent of discount

6. Worksheets Daily Notetaking Guide Worksheets Version A Practice, Guided Problem Solving Lesson 5-6 Practice 5-6 Guided Problem Solving 5-6

7. Vocabulary Practice Vocabulary (Electronic) Flash Cards Ratios, Rates, and Proportions Vocabulary 5A: Graphic Organizer Vocabulary 5B: Reading Comprehension Vocabulary 5C: Reading/Writing Math Symbols Vocabulary 5D: Visual Vocabulary Practice Vocabulary 5E: Vocabulary C Vocabulary 5F: Vocabulary Review Puzzle

8. Additional Lesson Examples Step-by-Step Examples Lesson 5-6

9. Lesson Readiness Lesson Quiz Problem of the Day Lesson 5-6

13. Percent of Change A percent of change is a ratio that compares the change in quantity to the original amount. Percent of change = amount of change original amount example: original: 12, new 9 12 - 9 12 = 3 = 1 4 or 25%

14. Teaching tip When finding percent of change, always use the original amount as the base. When the new amount is greater than the original, the percent of change is a percent of increase. When the new amount is less than the original, the percent of change is called a percent of decrease.

15. Last year, a school had 632 students. This year the school has 670 students. Find the percent of increase in the number of students. LESSON 5-6 The number of students increased by 6%. 670 – 632 = 38 Find the amount of change. = Write a proportion. 38 632 n 100 632n = 38(100)Find the cross products. 632n 632 38(100) 632 = Divide each side by 632. n = 6.01265Simplify. Finding Percent of Change Additional Examples

16. Example 8-1a Find the percent of change from 325 to 390. Step 1Subtract to find the amount of change. Step 2Write a ratio that compares the amount of change to the original amount. Express the ratio as a percent. Substitution. Find Percent of Change

17. Example 8-1b Write the decimal as a percent. Answer:The percent of change from 325 to 390 is 20%.

21. Find the percent markup for a car that a dealer buys for $10,590 and sells for $13,775. LESSON 5-6 The percent markup is 30%. 13,775 – 10,590 = 3,185 Find the amount of markup. = Write a proportion. 3,185 10,590 n 100 10,590n = 3,185(100) Find the cross products. 10,590n 10,590 3,185(100) 10,590 = Divide both sides by 10,590. n 30 Simplify. Finding Percent of Change Additional Examples

22. Example 8-2a Tuition In 1965, when John entered college, the tuition per year was $7500. In 2000, when his daughter went to the same school, the tuition was $25,500. Find the percent of change. Step 1Subtract to find the amount of change. Step 2Write a ratio that compares the amount of change to the original tuition. Express the ratio as a percent. Find Percent of Increase

23. Example 8-2b Answer:The percent of change is 240%. In this case, the percent of change is a percent of increase. Substitution. Write the decimal as a percent.

27. Example 8-4a Clothing A $110 sweater is on sale for $88. What is the percent of change? Step 2Compare the amount of change to the original price. Step 1Subtract to find the amount of change. Find Percent of Decrease

28. Example 8-4b Substitution. Write the decimal as a percent. Answer:The percent of change is –20%. In this case, the percent of change is a percent of decrease.

29. Find the percent of discount for a $74.99 tent that is discounted to $48.75. LESSON 5-6 The percent of discount for the tent is 35%. 74.99 – 48.75 = 26.24 Find the amount of the discount. = Write the proportion. 26.24 74.99 n 100 74.99n 74.99 26.24(100) 74.99 = Divide each side by 74.99. 74.99n= 26.24(100) Find the cross products. n 35 Simplify. Finding Percent of Change Additional Examples