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This lesson focused on practical applications of percentages, including calculating discounts, tips, and sales tax. Students solved real-world problems, learning how to estimate costs effectively by breaking down steps for finding percentages of various items. The lesson included a variety of warm-up problems, with an emphasis on understanding how to round numbers and apply percentage rates in everyday scenarios. Through quizzes and group activities, students gained confidence in their ability to use percentages in financial situations, essential for measures like discounts and taxes.
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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 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%
Sunshine State Standards MA.6.A.5.1 Use equivalent forms of fractions, decimals, and percents to solve problems. AlsoMA.6.A.5.3
Vocabulary discount tip sales tax
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
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.
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.
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.
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.
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.
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.
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.
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.
Lesson Quizzes Standard Lesson Quiz Lesson Quiz for Student Response Systems
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
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
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
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
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
