1. Course 1 8-9 Percent Problems 6 th Grade Math HOMEWORK Page 428 #1-14 ANSWERS!

2. Course 1 8-10 Using Percents 6 th Grade Math HOMEWORK Page 434 #1-9

3. Our Learning Goal for Chapter 8 Students will understand ratios, proportions, and percents by being able to write ratios, find unit rates, solve proportions, identify similar figures, find unknown measures, make scale drawings, understand relationships, and solve problems including those involving discounts, tips, sales tax, and simple interest.

4. Our Learning Goal Assignments Learn to write ratios and rates and to find unit rates (8-1) Learn to write and solve proportions (8-2) Learn to use proportions to make conversions within the customary system (8-3) Learn to use ratios to identify similar figures (8-4) Learn to use proportions and similar figures to find unknown measures (8-5) Learn to read and use map scale and scale drawings (8-6) Learn to write percents as decimals and as fractions (8-7) Learn to write decimals and fractions as percents (8-8) Learn to find the missing value in a percent problem (8-9) Learn to solve percent problems that involve discounts, tips, and sales tax (8-10)

5. 8-10 Using Percents Course 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day

6. Warm Up Find the percent of each number. 1. 75% of 300 2. 93% of 56 3. 32% of 128 4. 9% of 60 225 52.08 40.96 Course 1 8-10 Using Percents 5.4

7. Problem of the Day A chessboard is 8 squares wide by 8 squares long. Each player has 8 pawns, 1 king, and 7 other pieces. At the start of a game, all the pieces are on the board, 1 piece per square. What percent of the total number of squares have a chess piece? 50% Course 1 8-10 Using Percents

8. Today’s Learning Goal Assignment Learn to solve percent problems that involve discounts, tips, and sales tax. Course 1 8-10 Using Percents

9. Vocabulary discount tip sales tax Insert Lesson Title Here Course 1 8-10 Using Percents

10. Common Uses of Percents DiscountsA discount is an amount that is subtracted from the regular price of an item. discount = price discount rate total cost = price – discount TipsA tip is an amount added to a bill for service. tip = bill tip rate total cost = bill + tip Sales taxSales tax is an amount added to the price of an item. sales tax = price sales tax rate total cost = price + sales tax Course 1 8-10 Using Percents

11. Additional Example 1: Finding Discounts A clothing store is having a 10% off sale. If Angela wants to buy a sweater whose regular price is $19.95, about how much will she pay for the sweater after the discount? Step 1: First round $19.95 to $20. Step 2: Find 10% of $20 by multiplying 0.10 20. (Hint: Moving the decimal point one place left is a shortcut.) 10% of 20 = 0.10 $20 = $2.00 The approximate discount is $2.00. Subtract this amount from $20.00 to estimate the cost of the sweater. $20.00 – $2.00 = $18.00 Angela will pay about $18.00 for the sweater. Course 1 8-10 Using Percents

12. To multiply by 0.10, move the decimal point one place left. Remember! Course 1 8-10 Using Percents

13. Try This: Example 1 A fishing store is having a 10% off sale. If Gerald wants to buy a fishing pole whose regular price is $39.95, about how much will he pay for the pole after the discount? Step 1: First round $39.95 to $40. Step 2: Find 10% of $40 by multiplying 0.10 40. 10% of 40 = 0.10 $40 = $4.00 The approximate discount is $4.00. Subtract this amount from $40.00 to estimate the cost of the pole. $40.00 - $4.00 = $36.00 Gerald will pay about $36.00 for the fishing pole. Course 1 8-10 Using Percents

14. When estimating percents, use percents that you can calculate mentally. You can find 10% of a number by moving the decimal point one place to the left. You can find 1% of a number by moving the decimal point two places to the left. You can find 5% of a number by finding one- half of 10% of the number. Course 1 8-10 Using Percents

15. Additional Example 2: Finding Tips Ben’s dinner bill is $7.85. He wants to leave a tip that is 15% of the bill. About how much should his tip be? Step 1: First round $7.85 to $8. Step 2: Think: 15% = 10% + 5% Step 3: 5% = 10% ÷ 2 = $0.80 ÷ 2 = $0.40 Step 4: 15% = 10% + 5%. Ben should leave about $1.20 as a tip. = $0.80 + $0.40 = $1.20 10% of $8 = 0.10 $8 = $0.80 Course 1 8-10 Using Percents

16. Try This: Example 2 Lita’s dinner bill is $11.95. She wants to leave a tip that is 15% of the bill. About how much should her tip be? Step 1: First round $11.95 to $12. Step 2: Think: 15% = 10% + 5% Step 3: 5% = 10% ÷ 2 = $1.20 ÷ 2 = $0.60 Step 4: 15% = 10% + 5%. Lita should leave about $1.80 as a tip. = $1.20 + $0.60 = $1.80 10% of $12 = 0.10 $12 = $1.20 Course 1 8-10 Using Percents

17. Additional Example 3: Finding Sales Tax Ann is buying a dog bed for $29.75. The sales tax rate is 7%. About how much will the total cost of the dog bed be? Step 1: First round $29.75 to $30. Step 2: Think: 7% = 7 1% 1% of $30 = 0.01 $30 = $0.30 Step 3: 7% = 7 1%. = 7 $0.30 = $2.10. The approximate sales tax is $2.10. Add this amount to $30 to estimate the total cost of the dog bed. $30 + $2.10 = $32.10 Ann will pay about $32.10 for the dog bed. Course 1 8-10 Using Percents

18. Try This: Example 3 Erik is buying a blanket for $19.83. The sales tax rate is 8%. About how much will the total cost of the blanket be? Step 1: First round $19.83 to $20. Step 2: Think: 8% = 8 1% 1% of $20 = 0.01 $20 = $0.20 Step 3: 8% = 8 1% = 8 $0.20 = $1.60. The approximate sales tax is $1.60. Add this amount to $20 to estimate the total cost of the blanket. $20 + $1.60 = $21.60 Erik will pay about $21.60 for the blanket. Course 1 8-10 Using Percents

19. Lesson Quiz 1. Sean’s new jeans are priced at $29.97, but the sale sign reads, “Take 15% off.” About how much will the jeans cost after the discount? 2. The bill for a family dinner comes to $56.78. About how much would a 20% tip be? 3. The price on a book is $12.99. If sales tax is 4%, about how much will its total cost be? 4. Megan wants a new bike. She is happy to see a sign that reads, “All bikes 10% off.” If the original price of the bike was $159.90 and sales tax is 6%, about how much will the total cost of the bike be? About $11.50 About $25.50 Insert Lesson Title Here About $13.50 About $150 Course 1 8-10 Using Percents