5-9 renaming to subtract mixed numbers course 1 warm up lesson presentation lesson presentation...

5-9 Renaming to Subtract Mixed Numbers

Course 1

Warm Up

Lesson Presentation

Problem of the Day

Course 1


Warm UpAdd or Subtract.

1. 3 + 1 2. 7 +

3. 8 – 2 4. 6 – 1

25__ 3

5__ 9

11__ 11

11__

45__ 1

4__ 1

3__ 1

9__

5 8

6 5

911__

1120__ 2

9__

Problem of the Day

Complete the magic square so that every row, column, and diagonal, has the same sum.

Course 1


1 2

1 1

1 1

2

78__

58__

58__ 1

2__

12__1

78__

34__1 1

8__1

14__

38__

38__ 1

8__ 3

4__

14__

2

Learn to rename mixed numbers to subtract.

Course 1


Course 1


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?

34__

14__

14__ 3

4__The difference in the heights is 2 – 1 .

14__

34__1

4__

You will need to rename 2 because the fraction

in 1 is greater than .

14__Divide one whole of 2 into fourths.

Course 1


21

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.12__

141

14

14

14

14

1

14

14

14

14

1

1

1414

Course 1


Additional Example 1A: Renaming Mixed NumbersSubtract. Write each answer in simplest form.

1

6__ 5

6__

71

6__ 6

7

6__ Rename 7 as 6 + 1 = 6 + + .

–25

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.

= 41

3__

A. 7 – 2

Course 1


Additional Example 1B: Renaming Mixed NumbersSubtract. Write each answer in simplest form.

2

5__ 7

10__

84

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

10__ 4

10__

10 is a multiple of 5, so 10 is a common denominator.

B. 8 – 6

Course 1


Additional Example 1C: Renaming Mixed NumbersSubtract. Write each answer in simplest form.

2

3__

6 53

3__

–32

3__ –3

2

3__

______ ______

2


Write 6 as a mixed number with a denominator of 3. Rename 6 as 5 + .3

3__

1

3__

C. 6 – 3

Course 1


Additional Example 1D: Renaming Mixed NumbersSubtract. Write each answer in simplest form.

1

3__ 3

4__

54

12__ 4

16

12__

–29

12__ –2

9

12__

______ ______

2 7


whole numbers.

Rename 5 as 4 + 1 = 4 + + .4

12 __ 4

12__ 12

12__ 4

12__

The LCM of 4 and 3 is 12.

D. 5 – 2

Course 1


Try This: Example 1ASubtract. Write each answer in simplest form.

1

8__ 5

8__

51

8__ 4

9

8__ Rename 5 as 4 + 1 = 4 + + .

–25

8__ –2

5

8__

______ ______

2 4

8__


1

8__ 1

8__ 4

4__ 1

8__

Write the answer in simplest form.

= 21

2__

A. 5 – 2

Course 1


Try This: Example 1BSubtract. Write each answer in simplest form.

1

6__ 7

12__

72

12__ 6

14

12__

Rename 7 as 6 + 1 = 6 + + .

–37

12__ –3

7

12__

______ ______

3 7


whole numbers.

2

12__ 2

12__ 12

12__ 2

12__

12 is a multiple of 6, so 12 is a common denominator.

B. 7 – 3

Course 1


Try This: Example 1CSubtract. Write each answer in simplest form.

3

4__

5 44

4__ Write 5 as a mixed number with a

denominator of 4. Rename 5 as 4 + .

–23

4__ –2

3

4__

______ ______

2


4

4__

1

4__

C. 5 – 2

Course 1


Try This: Example 1DSubtract. Write each answer in simplest form.

1

2__ 2

3__

83

6__ 7

9

6__

Rename 8 as 7 + 1 = 7 + + .

–44

6__ –4

4

6__

______ ______

3 5


whole numbers.

3

6__ 3

6__ 6

6__ 3

6__

The LCM of 2 and 3 is 6.

D. 8 – 4

Course 1


Additional Example 2A: Measurement ApplicationLi 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__

15 144



–23

4__ –2 3

4__

______ ______

12


4

4__

1

4__

Li needs another 12 yards of fabric.1

4__

Course 1


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__

15 146



–111

6__ –11

1

6__

______ ______

3


6

6__

5

6__

Li will have 3 yards of fabric.5

6__

Course 1


Try This: Example 2APeggy 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__

13 126



–45

6__ –4 5

6__

______ ______

8


6

6__

1

6__

Peggy needs another 8 yards of fabric.1

6__

Course 1


Try This: Example 2B

B. If Peggy uses 9 yards of fabric, how much of the 13

yards will she have left?

1

4__

13 124



–91

4__ –9 1

4__

______ ______

3


4

4__

3

4__

Peggy will have 3 yards of fabric left.3

4__

Lesson Quiz

Insert Lesson Title Here

Course 1


Subtract. Write each answer in simplest form.

1. 7 – 3 2. 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__

35

7__ 4

9

10__

17

9__

513

16__

6 cups5

8__

5-9 renaming to subtract mixed numbers course 1 warm up lesson presentation lesson presentation...

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