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Our Learning Goal

Our Learning Goal. Students will be able to determine and construct fractions, decimals, and percents by understanding their relationships, solving for the unknown, solving increase and decrease, solving sales tax/total cost contextual problems and compute simple interest. Pre-Algebra HOMEWORK.

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Our Learning Goal

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  1. Our Learning Goal Students will be able to determine and construct fractions, decimals, and percents by understanding their relationships, solving for the unknown, solving increase and decrease, solving sales tax/total cost contextual problems and compute simple interest.

  2. Pre-Algebra HOMEWORK Page 412-413 #17-25 & Spiral Review ANSWERS

  3. Pre-Algebra Homework Page 419 #30-36 & Spiral Review (#37-40)

  4. Our Learning Goal Assignments • Learn to relate decimals, fractions, & percents (8-1) • Learn to find percents (8-2) • Learn to find a number when the percent is known (8-3) • Learn to find percent increase and decrease (8-4) • Learn to estimate with percents (8-5) • Learn to find commission, sales tax, and withholding tax (8-6) • Learn to compute simple interest (8-7)

  5. Learning Goal ScaleStudents are able to determine & construct fractions, decimals, & percents:

  6. Student Learning Goal Chart

  7. 8-4 Percent Increase and Decrease Warm Up Problem of the Day Lesson Presentation Pre-Algebra

  8. 8-4 Percent Increase and Decrease 1 1 2 2 Pre-Algebra Warm Up 1.14,000 is 2 % of what number? 2. 39 is 13% of what number? 3. 37 % of what number is 12? 4. 150% of what number is 189? 560,000 300 32 126

  9. Problem of the Day In a school survey, 45% of the students said orange juice was their favorite juice, 25% preferred apple, and 10% preferred grapefruit. The remaining 32 students preferred grape juice. How many students participated in the survey? 160 students

  10. Today’s Learning Goal Assignment Learn to find percent increase and decrease.

  11. Vocabulary percent change percent increase percent decrease

  12. amount of change original amount percent change = Percents can be used to describe a change. Percent change is the ratio of the amount of change to the original amount. Percent increase describes how much the original amount increases. Percent decrease describes how much the original amount decreases.

  13. 4 16 amount of decrease original amount Additional Example 1: Percent Increase and Decrease Find the percent increase or decrease from 16 to 12. This is percent decrease. 16 – 12 = 4 First find the amount of change. Think: What percent is 4 of 16? Set up the ratio.

  14. 4 16 Additional Example 1 Continued = 0.25 Find the decimal form. = 25% Write as a percent. From 16 to 12 is a 25% decrease.

  15. 5 20 amount of increase original amount Try This: Example 1 Find the percent increase or decrease from 15 to 20. This is percent increase. 20 – 15 = 5 First find the amount of change. Think: What percent is 5 of 20? Set up the ratio.

  16. 5 20 Try This: Example 1 Continued = 0.25 Find the decimal form. = 25% Write as a percent. From 15 to 20 is a 25% increase.

  17. 28 70 amount of increase original amount Additional Example 2: Life Science Application A. When Jim was exercising, his heart rate went from 70 beats per minute to 98 beats per minute. What was the percent increase? 98 – 70 = 28 First find the amount of change. Think: What percent is 28 of 70? Set up the ratio.

  18. 28 70 = 0.4 Find the decimal form. Additional Example 2 Continued = 40% Write as a percent. Jim’s heart rate increased by 40% when he exercised.

  19. amount of decrease 0.40 original amount 1.25 Additional Example 2B: Application B. In 1999, a certain stock was worth $1.25 a share. In 2002, the same stock was worth $0.85 a share. What was the percent decrease? 1.25 – 0.85 = 0.40 First find the amount of change. Think: What percent is 0.40 of 1.25? Set up the ratio.

  20. 0.40 1.25 Additional Example 2B Continued = 0.32 Find the decimal form. = 32% Write as a percent. The value of the stock decreased by 32%.

  21. 25 50 amount of increase original amount Try This: Example 2A A. When Jeff was watching TV, the number of times his eyelids blinked went from 50 blinks per minute to 75 blinks per minute. What was the percent increase? 75 – 50 = 25 First find the amount of change. Think: What percent is 25 of 50? Set up the ratio.

  22. 25 50 = 0.5 Find the decimal form. Try This: Example 2A Continued = 50% Write as a percent. The blinking of Jeff’s eyelids increased by 50% when he watched TV.

  23. amount of decrease 5.20 original amount 9.00 Try This: Example 2B B. In 2000, a certain stock was worth $9.00 a share. In 2003, the same stock was worth $3.80 a share. What was the percent decrease? 9.00 – 3.80 = 5.20 First find the amount of change. Think: What percent is 5.20 of 9.00? Set up the ratio.

  24. 5.20 = 0.57 Find the decimal form. 9.00 = 57.7% Write as a percent. Try This: Example 2B Continued The value of the stock decreased by about 57.8%.

  25. Additional Example 3A: Percent Increase and Decrease A. Sarah bought a DVD player originally priced at $450 that was on sale for 20% off. What was the sale price? $450 20% First find 20% of $450. $450 0.20 = $90 20% = 0.20 The amount of decrease is $90. Think: The reduced price is $90 less than $450. $450 – $90 = $360Subtract the amount of decrease. The sale price of the DVD player was $360.

  26. Try This: Example 3A A. Lily bought a dog house originally priced at $750 that was on sale for 10% off. What was the sale price? $750 10% First find 10% of $750. $750 0.10 = $75 10% = 0.10 The amount of decrease is $75. Think: The reduced price is $75 less than $750. $750 – $75 = $675Subtract the amount of decrease. The sale price of the dog house was $675.

  27. Additional Example 3B: Percent Increase and Decrease B. Mr. Olsen has a computer business in which he sells everything at 40% above the wholesale price. If he purchased a printer for $85 wholesale, what will be the retail price? $85 40% First find 40% of $85. $85 0.40 = $34 40% = 0.40 The amount of increase is $34. Think: The retail price is $34 more than $85. $85 + $34 = $119Add the amount of increase. The retail price of this printer will be $119.

  28. Try This: Example 3B B. Barb has a grocery store in which she sells everything at 50% above the wholesale price. If she purchased a prime rib for $30 wholesale, what will be the retail price? $30 50% First find 50% of $30. $30 0.50 = $15 50% = 0.50 The amount of increase is $15. Think: The retail price is $15 more than $30. $30 + $15 = $45 Add the amount of increase. The retail price of the prime rib will be $45.

  29. Textbook Classwork Due at the end of the period! You may work with ONE other person! Page 414 #1-17

  30. Lesson Quiz Find each percent increase or decrease to the nearest percent. 1. from 12 to 15 2. from 1625 to 1400 3. from 37 to 125 4. from 1.25 to 0.85 5. A computer game originally sold for $40 but is now on sale for 30% off. What is the sale price of the computer game? 25% increase 14% decrease 238% increase 32% decrease $28

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