1. 6-3 Estimate with Percents Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation

2. Homework pg. 338 #11-19 and29-32 Warm Up Write each percent as a fraction and as a decimal. 1. 75% January 26, 2012 2. 10% 3. 32% 4. 17% 3434, 0.75 Course 2 6-3 Estimate with Percents, 0.1 10 1, 0.32 25 8, 0.17 100 17

3. EQ: When is the situation to use estimate of a percent or when does it need to be exact. Course 2 6-3 Estimate with Percents Power Point Lesson 6:3 KIN Page 147-148

4. Learn to estimate percents. Course 2 6-3 Estimate with Percents

5. Course 2 6-3 Estimate with Percents The table shows common percents and their fraction equivalents. You can use fractions to estimate the percent of a number by choosing a fraction that is close to a given percent. Percent Fraction 10%20%25%50% 33 % 1313 66 % 2323 1515 1414 1313 1212 2323 1 10

6. Use a fraction to estimate 27% of 63. Additional Example 1: Using Fractions to Estimate Percents Course 2 6-3 Estimate with Percents 27% of 63  1414 · 63  1414 · 60  15 27% of 63 is about 15. Compatible numbers are close to the numbers in the problem and help you use mental math to find a solution. Remember! Think: 27% is about 25% and 25% is equivalent to. 1414 Change 63 to a compatible number. Multiply.

7. Use a fraction to estimate 48% of 91. Check It Out: Example 1 Course 2 6-3 Estimate with Percents 48% of 91  1212 · 91  1212 · 90  45 48% of 91 is about 45. Think: 48% is about 50% and 50% is equivalent to. 1212 Change 91 to a compatible number. Multiply.

8. Tara’s T’s is offering 2 T-shirts for $16, while Good-T’s is running their buy one for $9.99, get one for half price sale. Which store offers the better deal? Additional Example 2: Consumer Math Application Course 2 6-3 Estimate with Percents First find the discount price for 2 t-shirts at Good T’s. 50% of $9.99 = 1212 · $9.99  1212 · $10  $5 The second shirt cost approximately $5. Since $10 + $5 = $15, the 2 T-shirts for $15 at Good-T’s is the better deal. Think: 50% is equivalent to. 1 2 Change $9.99 to a compatible number. Multiply.

9. Check It Out: Example 2 Insert Lesson Title Here Course 2 6-3 Estimate with Percents First find the discount on the notebook at Billy’s Office Supply. 25% of $9.75 = 1414 · $9.75  1414 · $10  $2.50 The discount is approximately $2.50. Since $10 - $2.50 = $7.50, the notebook from K’s Office Supply Store is the better deal. Think: 25% is equivalent to. 1 4 Change $9.75 to a compatible number. Multiply. Billy’s Office Supply Store is offering 25% off a leather notebook, originally priced at $9.75. K’s Office Supply Store offers the same notebook, not on sale, at $7.00. Which store offers the better deal?

10. Use 1% or 10% to estimate the percent of each number. Additional Example 3A: Estimating with Simple Percents Course 2 6-3 Estimate with Percents 4% of 18 18 is about 20, so find 4% of 20. 1% of 20 = 20. 4% of 20 = 4 · 0.2 = 0.8 4% of 18 is about 0.8. 4% equals 4 · 1%..

11. Use 1% or 10% to estimate the percent of each number. Additional Example 3B: Estimating with Simple Percents Course 2 6-3 Estimate with Percents 29% of 80 29% is about 30, so find 30% of 80. 10% of 80 = 80. 30% of 80 = 3 · 8.0 = 24.0 29% of 80 is about 24. 30% equals 3 · 10%..

12. Use 1% or 10% to estimate the percent of each number. Check It Out: Example 3A Course 2 6-3 Estimate with Percents 5% of 14 14 is about 15, so find 5% of 15. 1% of 15 = 15. 5% of 15 = 5 · 0.15 = 0.75 5% of 14 is about 0.75. 5% equals 5 · 1%..

13. Tim spent $58 on dinner for his family. About how much money should he leave for a 15% tip? Additional Example 4: Consumer Math Application Course 2 6-3 Estimate with Percents Since $58 is about $60, find 15% of $60. 15% = 10% + 5% 10% of $60 = $6 5% of $60 = $6 ÷ 2 = $3 $6 + $3 = $9 Tim should leave about $9 for a 15% tip. Think: 15% is 10% + 5%. 5% is of 10% so divide $6 by 2. 1212 Add the 10% and 5% estimates.

14. Amanda spent $12 on a hair cut. About how much money should she leave for a 15% tip? Check It Out: Example 4 Course 2 6-3 Estimate with Percents Since $12 is about $10, find 15% of $10. 15% = 10% + 5% 10% of $10 = $1 5% of $10 = $1 ÷ 2 = $0.50 $1 + $0.50 = $1.50 Amanda should leave about $1.50 for a 15% tip. Think: 15% is 10% + 5%. 5% is of 10% so divide $1 by 2. 1212 Add the 10% and 5% estimates.

15. Lesson Quiz 1. Use a fraction to estimate 48% of 72. 2. A café is offering 10% off the $4.99 lunch. If a diner is offering the same lunch for $4.59, which is offering the better deal? Estimate the percent of each number. 3. 4% of 220 4. 19% of 75 5. Mr. and Mrs. Dargen spend $46.25 on a meal. About how much should they leave for a 15% tip? The café 36 Insert Lesson Title Here 8.8 15 Course 2 6-3 Estimate with Percents $7