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Course 2

11/04/10 Equivalent Fractions and Decimals. 3-7. Fractions and Decimals. Course 2. 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

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Course 2

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  1. 11/04/10 Equivalent Fractions and Decimals 3-7 Fractions and Decimals Course 2 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. 1 8 17 8 2 3 7 31 7 7 8 14 16 in. 12 Note: We are in lesson 3-9 in the old book and lesson 2-10 in the new book. Learning Target: -I can write fractions as decimals and decimals as fractions. Today’s Plan: -Warm Up & Correct Homework -Write Fractions as Decimals -Write Decimals as Fractions

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

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

  4. 11/04/10 Equivalent Fractions and Decimals 3-7 Fractions and Decimals Course 2 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 1 8 Learning Target: -I can write fractions as decimals and decimals as fractions. Today’s Plan: -Warm Up & Correct Homework -Write Fractions as Decimals -Write Decimals as Fractions

  5. 2-10 Equivalent Fractions and Decimals Course 2 Additional Example 1: Writing Fractions as Decimals Write each fraction as a decimal. Round to the nearest hundredth, if necessary. 9 5 5 3 1 4 B. C. A. 1 .6 6 6 1 4 = 0.25 5.000 3 9 5 = 1.8 – 3 20 – 18 20 – 18 5 3 ≈ 1.67 20 – 18 2

  6. 2-10 Equivalent Fractions and Decimals Course 2 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. 2-10 Equivalent Fractions and Decimals Course 2 Use Mental Math to Write Fractions as Decimals Write each fraction as a decimal. 4 5 A. Multiply to get a power of ten in the denominator. 4 5 2 2 8 10 = x = 0.8 37 50 B. Multiply to get a power of ten in the denominator. 37 50 2 2 74 100 = x = 0.74

  8. 2-10 Equivalent Fractions and Decimals Course 2 Write each fraction as a decimal. 3 5 A. Multiply to get a power of ten in the denominator. 3 5 2 2 6 10 = x = 0.6 18 25 B. Multiply to get a power of ten in the denominator. 18 25 4 4 72 100 = x = 0.72

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

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

  11. 2-10 Equivalent Fractions and Decimals Course 2 Additional Example 4: Sports Application 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. Completion Rate What the Calculator Shows Fraction 1,546 3,875 ENTER ÷ 0.398967742 0.399 1546 3875 His completion rate is 0.399.

  12. 2-10 Equivalent Fractions and Decimals Course 2 Insert Lesson Title Here Check It Out: Example 4 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. What the Calculator Shows Fraction Completion Rate 2,830 5,186 ENTER ÷ 0.546 0.54569996 2830 5186 His completion rate is 0.546.

  13. 2-10 Equivalent Fractions and Decimals Course 2 Insert Lesson Title Here 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? 16 5 21 8 2.625 3.2 2. 7 10 11 20 0.55 0.7 5 8 69 8 21 50 6. 8.625 or 8 0.70

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

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