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

2. 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

3. 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

4. Learn to solve percent problems that involve discounts, tips, and sales tax. Course 1 8-10 Using Percents

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

6. 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

7. 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

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

9. 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

10. 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

11. 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

12. 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

13. 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

14. 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

15. 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