2. Page 162 #8-18 ANSWERS

3. Student Progress Learning Chart Lesson Reflection for Chapter 4 Section 4

4. Math Learning Goal Students will understand number theory and fractions.

5. Students will understand number theory and fractions by being able to do the following: Learn to use divisibility rules (4-1) Learn to write prime factorizations of composite numbers (4-2) Learn to find the greatest common factor (GCF) of a set of numbers (4-3) Learn to convert between decimals and fractions (4-4)

6. Today’s Learning Goal Assignment Learn to convert between decimals and fractions. Course 1 4-4 Decimals and Fractions

7. 6 th Grade Math HW Page 169 #12-33 Course 1 4-4 Decimals and Fractions

8. 4-4 Decimals and Fractions Course 1 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation

9. Warm Up Find the GCF of each set of numbers. 1. 15, 24 2. 30, 60 3. 54, 102 4. 12, 16, 24 3 30 6 Course 1 4-4 Decimals and Fractions 4

10. Problem of the Day Write the day of the month as the product of two factors. Possible answer: 12th of the month, 6  2 Course 1 4-4 Decimals and Fractions

11. Today’s Learning Goal Assignment Learn to convert between decimals and fractions. Course 1 4-4 Decimals and Fractions

12. Vocabulary mixed number terminating decimal repeating decimal Insert Lesson Title Here Course 1 4-4 Decimals and Fractions

13. Course 1 4-4 Decimals and Fractions A number that contains both a whole number greater than 0 and a fraction, such as 1, is called a mixed number. 3 4 __ 4 1 1 1 2 1 1 4 3 2 4 1 2 2 1 Mixed numbers 1212 1414 3434 0 0.25 0.5 0.75 1 1.25 1.5 1.75 2 2.25 2.5

14. Course 1 4-4 Decimals and Fractions Additional Example 1A: Writing Decimals as Fractions or Mixed Numbers Write each decimal as a fraction or mixed number. A. 0.67 Identify the place value of the digit farthest to the right. The 7 is in the hundredths place, so use 100 as the denominator. 0.67 100 ____ 67 Remember! OnesTenths Hundredths Thousandths Place Value

15. Course 1 4-4 Decimals and Fractions Additional Example 1B: Writing Decimals as Fractions or Mixed Numbers Write each decimal as a fraction or mixed number. B. 5.9 Identify the place value of the digit farthest to the right. Write the whole number, 1. The 9 is in the tenths place, so use 10 as the denominator. 5.9 10 ___ 9 5

16. Course 1 4-4 Decimals and Fractions Try This: Example 1A Write each decimal as a fraction or mixed number. A. 0.73 Identify the place value of the digit farthest to the right. The 7 is in the hundredths place, so use 100 as the denominator. 0.73 100 ____ 73

17. Course 1 4-4 Decimals and Fractions Try This: Example 1B Write each decimal as a fraction or mixed number. B. 4.8 Identify the place value of the digit farthest to the right. Write the whole number, 1. The 8 is in the tenths place, so use 10 as the denominator. 4.8 10 ___ 8 4

18. Course 1 4-4 Decimals and Fractions Additional Example 2A: Writing Fractions as Decimals Write each fraction or mixed number as a decimal. A. Divide 3 by 20. Add zeros after the decimal point. 0 20 ____ 3 The remainder is 0..00 - 20.1 320 100 - 100 5 0 20 ____ 3 =0.15

19. Course 1 4-4 Decimals and Fractions To write a repeating decimal, you can show three dots or draw a bar over the repeating part: 0.666… = 0.6 Writing Math

20. Course 1 4-4 Decimals and Fractions Additional Example 2B: Writing Fractions as Decimals A. Divide 1 by 3. Add zeros after the decimal point. 0 3 __ 1 The three repeats in the quotient..000 - 9.3 1 3 10 - 9 3 10 = 6 - 9 3 1 3 __ 1 6 6.333… = 6.3 _ Write each fraction or mixed number as a decimal.

21. Course 1 4-4 Decimals and Fractions Try This: Example 2A Write each fraction or mixed number as a decimal. A. Divide 5 by 20. Add zeros after the decimal point. 0 20 ____ 5 The remainder is 0..00 - 40.2 5 20 100 - 100 5 0 20 ____ 5 =0.25

22. Course 1 4-4 Decimals and Fractions Try This: Example 2B Write each fraction or mixed number as a decimal. B. Divide 2 by 3. Add zeros after the decimal point. 0 3 __ 2 The six repeats in the quotient..000 - 18.6 2 3 20 - 18 6 20 = 7 - 18 6 2 3 __ 2 7 7.666… = 7.6 _

23. Course 1 4-4 Decimals and Fractions A terminating decimal, such as 0.75, has a finite number of decimal places. A repeating decimal, such as 0.666…, has a block of one or more digits that repeat continuously Common Fractions and Equivalent Decimals 0.20.250.30.40.50.6 0.750.8 1 3 __ 1 5 1 4 2 5 1 2 3 5 2 3 3 4 4 5

24. Course 1 4-4 Decimals and Fractions Additional Example 3: Comparing and Ordering Fractions and Decimals Order the fractions and decimals from least to greatest., 0.8, 7 __ 10 3 __ 4 First rewrite the fractions as a decimal. = 0.75 = 0.7 Order the three decimals. 3 __ 4 0 7 10 __ 10 7 3 __ 4 0.75 0.8 0.7 The numbers in order from least to greatest are,, and 0.8. 7 10 3 4

25. Course 1 4-4 Decimals and Fractions Try This: Example 3 Order the fractions and decimals from least to greatest., 0.35, 1 __ 4 1 2 First rewrite the fractions as decimals. = 0.5 = 0.25 Order the three decimals. 1 __ 2 0 1 4 1 __. 2 The numbers in order from least to greatest are, 0.35, and 1 __ 4 1 2 0.350.5 0.25 1 __ 4

26. Lesson Quiz: Part 1 Write each decimal as a fraction or mixed number. 1. 0.24 2. 6.75 Write each fraction or mixed number as a decimal. 3. 2 4. Insert Lesson Title Here 2.6 0.875 Course 1 4-4 Decimals and Fractions 3 5 __ 8 7 6 25 ____ 6 3 4 __

27. Lesson Quiz: Part 2 5. Order the fractions and decimals from least to greatest. 0.38,, 6. Jamal ran the following distances on three different days: 0.87 mile, mile, and 0.13 mile. Order the distances from least to greatest. 0.13,, 0.87 Insert Lesson Title Here Course 1 4-4 Decimals and Fraction 3 4 __ 1 5 2 3 1 5, 0.38, 3 4 __ 2 3

28. Page 168 #12-33 ANSWERS