Warm Up

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

2. 37 39 ___ ___ 100 50 Warm Up Write each percent as a fraction in simplest form. 1. 37% 2. 78% Write each percent as a decimal. 3. 59% 4. 7% 0.07 0.59

3. Problem of the Day Jennifer gave Karen 50% of her comic books. Karen gave Jack 50% of the books she got from Jennifer. Jack gave Lucas 50% of the books he got from Karen. Lucas got 4 comic books. What percent of Jennifer’s comic books does Lucas have? 12.5%

4. Sunshine State Standards MA.6.A.5.1 Use equivalent forms of fractions, decimals, and percents to solve problems. AlsoMA.6.A.5.2

5. 7 __ 10 7 • 10 70 _______ ___ 10 • 10 100 70 ___ 100 Additional Example 1A: Writing Decimals as Percents Write the decimal as a percent. Method 1: Use place value. 0.7 0.7 = Write the decimal as a fraction. Write an equivalent fraction with 100 as the denominator. = Write the numerator with a percent symbol. = 70%

6. Additional Example 1B: Writing Decimals as Percents Write the decimal as a percent. Method 2: Multiply by 100. 0.4118 0.4118 • 100 Multiply by 100. 41.18% Add the percent symbol.

7. Check It Out: Example 1A Write the decimal as a percent. 0.023 2.3%

8. Check It Out: Example 1B Write the decimal as a percent. 0.018 1.8%

9. Check It Out: Example 1C Write the decimal as a percent. 0.957 95.7%

10. Helpful Hint When the denominator is a factor of 100, it is often easier to use method 1. When the denominator is not a factor of 100, it is usually easier to use method 2.

11. 9 __ 25 9 • 4 36 ______ ___ 25 • 4 100 36 ___ 100 Additional Example 2A: Writing Fractions as Percents Write the fraction as a percent. Method 1: Write an equivalent fraction with a denominator of 100. Write an equivalent fraction with 100 as the denominator. = Write the numerator with a percent symbol. = 36%

12. 3 __ 20 0.15 20 3.00 –20 100 –100 0 Additional Example 2B: Writing Fractions as Percents Method 2: Use division to write the fraction as a decimal. Divide the numerator by the denominator. Multiply by 100 by moving the decimal point right two places. Add the percent symbol. 0.15 = 15%

13. 7 7 __ __ 50 50 7 • 2 14 ______ ___ 50 • 2 100 Check It Out: Example 2A Write the fraction as a percent. = = = 14%

14. 11 11 __ __ 50 50 11 • 2 22 ______ ___ 50 • 2 100 Check It Out: Example 2B Write the fraction as a percent. = = = 22%

15. 7 __ 25 7 __ 25 7 • 4 28 ______ ___ 25 • 4 100 28 ___ 100 Additional Example 3: Application One year, of people with home offices were self-employed. What percent of people with home offices were self employed? Write an equivalent fraction with a denominator of 100. = = 28% Write the numerator with a percent symbol. 28% of people with home offices were self-employed.

16. 9 9 __ __ 20 20 9 • 5 45 ______ ___ 20 • 5 100 Check It Out: Example 3A During the soccer season, of Evan’s teammates scored a goal. What percent of Evan’s teammates scored a goal? = = = 45%

17. 1 1 __ __ 5 5 1 • 20 20 ______ ___ 5 • 20 100 Check It Out: Example 3B Jo spends of her time at the gym doing stretches to warm up. What percent of Jo’s time at the gym does she spend stretching? = = = 20%

18. 2 2 __ __ 5 5 2 • 20 ___ 40 ______ 5 • 20 100 Check It Out: Example 3C George wants of the calories he eats to come from protein. What percent of George’s calories should come from protein? = = = 40%

19. The number line below shows common equivalent fractions, decimals, and percents.

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

21. 9 1 __ __ 16 5 1 __ 16 Lesson Quiz Write each decimal as a percent. 1. 0.26 2. 0.419 Write each fraction as a percent. 3.4. 5. About of all the students at a local high school own their own car. What percent is this? 26% 41.9% 56.25% 20% 6.25%

22. Lesson Quiz for Student Response Systems 1. Which of the following represents the decimal 0.37 as a percent? A. 0.37% B. 37% C. 3.7%D. 370%

23. Lesson Quiz for Student Response Systems 2. Which of the following represents the decimal 0.143 as a percent? A. 143% B. 1.43% C. 14.3%D. 0.143%

24. Lesson Quiz for Student Response Systems 3. Which of the following represents the fraction as a percent? A. 0.24% B. 24% C. 2.4%D. 240%

25. Lesson Quiz for Student Response Systems 4. Which of the following represents the fraction as a percent? A. 78.75% B. 68.75% C. 70%D. 60%

26. Lesson Quiz for Student Response Systems 5. Mike correctly answered of the questions on his math test. What percent of the questions were answered correctly? A. 4.5% B. 80% C. 45%D. 90%