1. 5-9 Renaming to Subtract Mixed Numbers Course 1 Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day

2. Course 1 5-9 Renaming to Subtract Mixed Numbers Warm Up Add or Subtract. 1. 3 + 12. 7 + 3. 8 – 2 4. 6 – 1 2 5 __ 3 5 9 11 __ 11 __ 4 5 1 4 1 3 1 9 58 6 5 9 11 __ 11 20 __ 2 9

3. Problem of the Day Complete the magic square so that every row, column, and diagonal, has the same sum. Course 1 5-9 Renaming to Subtract Mixed Numbers 12 11 1 1 2 7 8 __ 5 8 5 8 1 2 1 2 1 7 8 3 4 1 1 8 1 1 4 3 8 3 8 1 8 3 4 1 4 2

4. Learning Goal Assignment Learn to rename mixed numbers to subtract. Course 1 5-9 Renaming to Subtract Mixed Numbers

5. Course 1 5-9 Renaming to Subtract Mixed Numbers Jimmy and his family planted a tree when it was 1 ft tall. Now the tree is 2 ft tall. How much has the tree grown since it was planted? 3 4 __ 1 4 1 4 3 4 The difference in the heights is 2 – 1. 1 4 __ 3 4 1 4 You will need to rename 2 because the fraction in 1 is greater than. 1 4 __ Divide one whole of 2 into fourths.

6. Course 1 5-9 Renaming to Subtract Mixed Numbers 2 1 4 __ 1 5 4 –1 1 4 __ – 1 ______ = 2 4 __ 1 2 3 4 Rename 2 as 1. 3 4 __ 5 4 The tree has grown ft since it was planted. 1 2 __ 1414 1 1414 1414 1414 1414 1 1414 1414 1414 1414 1 1 1414 1414

7. Course 1 5-9 Renaming to Subtract Mixed Numbers Additional Example 1A: Renaming Mixed Numbers Subtract. Write each answer in simplest form. 1 6 __ 5 6 7 1 6 6 7 6 Rename 7 as 6 + 1 = 6 + +. –2 5 6 __ –2 5 6 __ ______ 4 2 6 __ Subtract the fractions and then the whole numbers. 1 6 __ 1 6 6 6 1 6 Write the answer in simplest form. = 4 1 3 __ A. 7 – 2

8. Course 1 5-9 Renaming to Subtract Mixed Numbers Try This: Example 1A Subtract. Write each answer in simplest form. 1 8 __ 5 8 5 1 8 4 9 8 Rename 5 as 4 + 1 = 4 + +. –2 5 8 __ –2 5 8 __ ______ 2 4 8 __ Subtract the fractions and then the whole numbers. 1 8 __ 1 8 4 4 1 8 Write the answer in simplest form. = 2 1 2 __ A. 5 – 2

9. Course 1 5-9 Renaming to Subtract Mixed Numbers Additional Example 1B: Renaming Mixed Numbers Subtract. Write each answer in simplest form. 2 5 __ 7 10 __ 8 4 10 __ 7 14 10 __ Rename 8 as 7 + 1 = 7 + +. –6 7 10 __ –6 7 10 __ ______ ______ 1 7 10 __ Subtract the fractions and then the whole numbers. 4 10 __ 4 10 __ 10 __ 4 10 __ 10 is a multiple of 5, so 10 is a common denominator. B. 8 – 6

10. Course 1 5-9 Renaming to Subtract Mixed Numbers Try This: Example 1B Subtract. Write each answer in simplest form. 1 6 __ 7 12 __ 7 2 12 __ 6 14 12 __ Rename 7 as 6 + 1 = 6 + +. –3 7 12 __ –3 7 12 __ ______ ______ 3 7 12 __ Subtract the fractions and then the whole numbers. 2 12 __ 2 12 __ 12 __ 2 12 __ 12 is a multiple of 6, so 12 is a common denominator. B. 7 – 3

11. Course 1 5-9 Renaming to Subtract Mixed Numbers Additional Example 1C: Renaming Mixed Numbers Subtract. Write each answer in simplest form. 2 3 __ 65 3 3 –3 2 3 __ –3 2 3 __ ______ ______ 2 Subtract the fractions and then the whole numbers. Write 6 as a mixed number with a denominator of 3. Rename 6 as 5 +. 3 3 __ 1 3 C. 6 – 3

12. Course 1 5-9 Renaming to Subtract Mixed Numbers Try This: Example 1C Subtract. Write each answer in simplest form. 3 4 __ 54 4 4 Write 5 as a mixed number with a denominator of 4. Rename 5 as 4 +. –2 3 4 __ –2 3 4 __ ______ ______ 2 Subtract the fractions and then the whole numbers. 4 4 __ 1 4 C. 5 – 2

13. Course 1 5-9 Renaming to Subtract Mixed Numbers Additional Example 1D: Renaming Mixed Numbers Subtract. Write each answer in simplest form. 1 3 __ 3 4 5 4 12 __ 4 16 12 __ –2 9 12 __ –2 9 12 __ ______ ______ 2 7 12 __ Subtract the fractions and then the whole numbers. Rename 5 as 4 + 1 = 4 + +. 4 12 __ 4 12 __ 12 __ 4 12 __ The LCM of 4 and 3 is 12. D. 5 – 2

14. Course 1 5-9 Renaming to Subtract Mixed Numbers Try This: Example 1D Subtract. Write each answer in simplest form. 1 2 __ 2 3 8 3 6 7 9 6 Rename 8 as 7 + 1 = 7 + +. –4 4 6 __ –4 4 6 __ ______ ______ 3 5 6 __ Subtract the fractions and then the whole numbers. 3 6 __ 3 6 6 6 3 6 The LCM of 2 and 3 is 6. D. 8 – 4

15. Course 1 5-9 Renaming to Subtract Mixed Numbers Additional Example 2A: Measurement Application Li is making a quilt. She needs 15 yards of fabric. A. Li has 2 yards of fabric. How many more yards does she need? 3 4 __ 1514 4 4 __ Write 15 as a mixed number with a denominator of 4. Rename 15 as 14 +. –2 3 4 __ –2 3 4 __ ______ ______ 12 Subtract the fractions and then the whole numbers. 4 4 __ 1 4 Li needs another 12 yards of fabric. 1 4 __

16. Course 1 5-9 Renaming to Subtract Mixed Numbers Try This: Example 2A Peggy is making curtains. She needs 13 feet of fabric. A. Peggy has 4 yards of fabric. How many more yards does she need? 5 6 __ 1312 6 6 __ Write 13 as a mixed number with a denominator of 6. Rename 13 as 12 +. –4 5 6 __ –4 5 6 __ ______ ______ 8 Subtract the fractions and then the whole numbers. 6 6 __ 1 6 Peggy needs another 8 yards of fabric. 1 6 __

17. Course 1 5-9 Renaming to Subtract Mixed Numbers Additional Example 2B: Measurement Application B. If Li uses 11 yards of fabric, how much of the 15 yards will she have left? 1 6 __ 1514 6 6 __ Write 15 as a mixed number with a denominator of 6. Rename 15 as 14 +. –11 1 6 __ –11 1 6 __ ______ ______ 3 Subtract the fractions and then the whole numbers. 6 6 __ 5 6 Li will have 3 yards of fabric. 5 6 __

18. Course 1 5-9 Renaming to Subtract Mixed Numbers Try This: Example 2B B. If Peggy uses 9 yards of fabric, how much of the 13 yards will she have left? 1 4 __ 1312 4 4 __ Write 13 as a mixed number with a denominator of 4. Rename 13 as 12 +. –9 1 4 __ –9 1 4 __ ______ ______ 3 Subtract the fractions and then the whole numbers. 4 4 __ 3 4 Peggy will have 3 yards of fabric left. 3 4 __

19. Lesson Quiz Insert Lesson Title Here Course 1 5-9 Renaming to Subtract Mixed Numbers Subtract. Write each answer in simplest form. 1. 7 – 32. 8 – 3 3. 7 – 5 4. 10 – 4 5. Irena put 10 cups of food in the bird feeder. The birds ate 3 cups. How many cups are left? 4 7 __ 6 7 7 10 __ 4 5 2 9 3 8 9 16 __ 3 8 3 5 7 4 9 10 __ 1 7 9 5 13 16 __ 6 cups 5 8 __