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Warm Up

Warm Up. Problem of the Day. Lesson Presentation. Lesson Quizzes. 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. 5.4. Problem of the Day

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Warm Up

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  1. Warm Up Problem of the Day Lesson Presentation Lesson Quizzes

  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 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%

  4. Sunshine State Standards MA.6.A.5.1 Use equivalent forms of fractions, decimals, and percents to solve problems. AlsoMA.6.A.5.3

  5. Vocabulary discount tip sales tax

  6. Common Uses of Percents Discounts A discount is an amount that is subtracted from the regular price of an item. discount = price • discount rate total cost = price – discount Tips A tip is an amount added to a bill for service. tip = bill • tip rate total cost = bill + tip Sales tax Sales tax is an amount added to the price of an item. sales tax = price • sales tax rate total cost = price + sales tax

  7. Additional Example 1: Finding DiscountsA 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. 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.

  8. Check It Out: 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? $39.95 rounds to $40. 10% of 40 = $4 40 - 4 = $36 He will pay about $36.

  9. 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.

  10. 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% 10% of $8 = 0.10 • $8 = $0.80 Step 3: 5% = 10% ÷ 2 = $0.80 ÷ 2 = $0.40 Step 4: 15% = 10% + 5%. = $0.80 + $0.40 = $1.20 Ben should leave about $1.20 as a tip.

  11. Check It Out: Example 2 Fran’s breakfast bill is $13.95. She wants to leave a tip that is 20% of the bill. About how much should her tip be? $13.95 rounds to $14. 10% of 14 = $1.40 2 1.40= $2.80 • She should tip about $2.80.

  12. Additional Example 3: Finding Sales TaxAnn 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.

  13. Check It Out: Example 3A 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? $19.83 rounds to $20. 1% of 20 = $0.20 8 • 0.20 = $1.60. 20.00 + 1.60 = $21.60 The total cost will be about $21.60.

  14. Check It Out: Example 3BDiana is Diana is buying a rice cooker for $39.95. The sales tax rate is 8%. About how much will the total cost of the rice cooker be? $39.95 rounds to $40. 1% of 40 = $0.40 8 • 0.40 = $3.20. 40.00 + 3.20 = $43.20 The total cost will be about $43.20.

  15. Lesson Quizzes Standard Lesson Quiz Lesson Quiz for Student Response Systems

  16. 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 $25.50 about $11.50 about $13.50 about $150

  17. Lesson Quiz for Student Response Systems 1. A pair of shoes is priced at $45.25. During a sale, a discount of 20% is offered on it. About how much will the pair of shoes cost after the discount? A. about $20 B. about $36 C. about $26 D. about $45

  18. Lesson Quiz for Student Response Systems 2. Mary and her friends ordered lunch from a restaurant. The bill came to $27.85. About how much would a home delivery charge of 15% be? A. about $1.5 B. about $4.20 C. about $2.7 D. about $4.80

  19. Lesson Quiz for Student Response Systems 3. The price of a pen is $6.60. If sales tax is 5%, about how much will its total cost be? A. about $6.69 B. about $7.26 C. about $6.90 D. about $7.60

  20. Lesson Quiz for Student Response Systems 4. Isaac wants to buy an MP3 player. The shop offers 10% discount on all MP3 players. If Isaac chooses an MP3 player whose original price is $49.85 and sales tax rate is 8%, about how much will he have to pay? A. about $41.40 B. about $46.40 C. about $48.50 D. about $53.85

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