1. Course 2 3-7 Fractions and Decimals Today’s Plan: -Warm Up & Correct Homework -Write Fractions as Decimals -Write Decimals as Fractions 11/04/10 Equivalent Fractions and Decimals Learning Target: -I can write fractions as decimals and decimals as fractions. Entry Task 1. Write as a mixed number. 2. Write 4 as an improper fraction. 3. A carpenter is building a stairway. Each stair has to be 12 in. wide. The carpenter’s ruler is marked in sixteenths. Write the length he should measure as inches and sixteenths of an inch. 17 8 3737 7878 14 16 12 31 7 1818 2 in. Note: We are in lesson 3-9 in the old book and lesson 2-10 in the new book.

2. Course 2 3-7 Fractions and Decimals Correct Homework: Page 168 #21-40 *Remember if you want to retake your math test, retakes are Monday after school. Today’s Plan: -Warm Up & Correct Homework -Write Fractions as Decimals -Write Decimals as Fractions 11/04/10 Equivalent Fractions and Decimals Learning Target: -I can write fractions as decimals and decimals as fractions.

3. Course 2 3-7 Fractions and Decimals Today’s Plan: -Warm Up & Correct Homework -Write Fractions as Decimals -Write Decimals as Fractions 11/04/10 Equivalent Fractions and Decimals Learning Target: -I can write fractions as decimals and decimals as fractions. Write the fractions and decimal represented by models 1, 2,and 3. Each grid has 100 squares.

4. Course 2 3-7 Fractions and Decimals Today’s Plan: -Warm Up & Correct Homework -Write Fractions as Decimals -Write Decimals as Fractions 11/04/10 Equivalent Fractions and Decimals Learning Target: -I can write fractions as decimals and decimals as fractions. How do you convert a fraction to a decimal? To convert a fraction to a decimal, divide the numerator by the denominator! = 1 ÷ 8 0.125 1818

5. Write each fraction as a decimal. Round to the nearest hundredth, if necessary. Additional Example 1: Writing Fractions as Decimals Course 2 2-10 Equivalent Fractions and Decimals A. 1414 5.000 B. 9595 C. 5353 3 1414 = 0.25 9595 = 1.8 1 – 3 20.6 – 18 20 – 18 6 20 – 18 2 5353 ≈ 1.67 6

6. Course 2 2-10 Equivalent Fractions and Decimals The decimals 0.75 and 1.2 in Example 1 are terminating decimals because the decimals comes to an end. The decimal 0.333…is a repeating decimal because the decimal repeats a pattern forever. You can also write a repeating decimal with a bar over the repeating part. 0.333… = 0.3 0.8333… = 0.83 0.727272… = 0.72

7. Write each fraction as a decimal. Use Mental Math to Write Fractions as Decimals Course 2 2-10 Equivalent Fractions and Decimals A. 4545 4545 x 2 = 8 10 = 0.8 Multiply to get a power of ten in the denominator. B. 37 50 x 2 = 74 100 = 0.74 Multiply to get a power of ten in the denominator.

8. Write each fraction as a decimal. Course 2 2-10 Equivalent Fractions and Decimals A. 3535 3535 x 2 = 6 10 = 0.6 Multiply to get a power of ten in the denominator. B. 18 25 x 4 = 72 100 = 0.72 Multiply to get a power of ten in the denominator.

9. Write each decimal as a fraction in simplest form. Additional Example 3: Writing Decimals as Fractions Course 2 2-10 Equivalent Fractions and Decimals A. 0.018 B. 1.55 0.018 = 18 1,000 1.55 = 155 100 = 18 ÷ 2 1,000 ÷ 2 = 155 ÷ 5 100 ÷ 5 = 31 20 or 1 11 20 = 9 500 You read the decimal 0.018 as “eighteen thousandths.” Reading Math

10. Check It Out: Example 3 Insert Lesson Title Here Course 2 2-10 Equivalent Fractions and Decimals Write each decimal as a fraction in simplest form. A. 0.015 B. 1.30 0.015 = 15 1,000 1.30 = 130 100 = 15 ÷ 5 1,000 ÷ 5 = 130 ÷ 10 100 ÷ 10 = 13 10 or 1 3 10 = 3 200

11. A football player completed 1,546 of the 3,875 passes he attempted. Find his completion rate. Write your answer as a decimal rounded to the nearest thousandth. Additional Example 4: Sports Application Course 2 2-10 Equivalent Fractions and Decimals Fraction What the Calculator Shows Completion Rate 1,546 3,875 1546 ÷ 3875 ENTER 0.3989677420.399 His completion rate is 0.399.

12. Check It Out: Example 4 Insert Lesson Title Here Course 2 2-10 Equivalent Fractions and Decimals Johnny Unitas, a former professional quarterback, completed 2,830 of the 5,186 passes he attempted. Find his completion rate. Write your answer as a decimal rounded to the nearest thousandth. Fraction What the Calculator Shows Completion Rate 2,830 5,186 2830 ÷ 5186 ENTER 0.54569996 0.546 His completion rate is 0.546.

13. Lesson Quiz Write each fraction as a decimal. 1. 3. 4. Write each decimal as a fraction in simplest form. 5. 0.42 7. If your soccer team wins 21 out of 30 games, what is your team’s winning rate? 2.625 3.2 Insert Lesson Title Here 21 50 69 8 Course 2 2-10 Equivalent Fractions and Decimals 16 5 2. 21 8 6. 8.625 0.70 7 10 11 20 0.55 0.7 5858 or 8

14. Course 2 3-7 Fractions and Decimals Assignment: Page 172 #14-26 *Remember if you want to retake your math test, retakes are Monday after school. Today’s Plan: -Warm Up & Correct Homework -Write Fractions as Decimals -Write Decimals as Fractions 11/04/10 Equivalent Fractions and Decimals Learning Target: -I can write fractions as decimals and decimals as fractions.