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 UpWarm Up

Lesson PresentationLesson PresentationProblem of the DayProblem 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 DayComplete 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 7

8__

34__1 1

8__1

14__

38__

38__ 1

8__ 3

4__

14__

2

Learning Goal Assignment

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


2 14__ 1 5

4__

–1

14__

– 1______ ______

= 24__ 1

2__

34__

Rename 2 as 1 .34__

54__

The tree has grown ft since it was planted.12__

141 1

414

14

14

114

14

14

14

1

1

1414

Course 1


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

16__ 5

6__

7 16__ 6 7

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

–2 56__ –2 5

6__

______ ______

4 26__

Subtract the fractions and then the whole numbers.

16__ 1

6__ 6

6__ 1

6__

Write the answer in simplest form.

= 4 13__

A. 7 – 2

Course 1


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

18__ 5

8__

5 18__ 4 9

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

–2 58__ –2 5

8__

______ ______

2 48__


18__ 1

8__ 4

4__ 1

8__

Write the answer in simplest form.

= 2 12__

A. 5 – 2

Course 1


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

25__ 7

10__

8 410__ 7 14

10__

Rename 8 as 7 + 1 = 7 + + . –6 710__ –6 7

10__

______ ______

1 710__ Subtract the fractions and then the

whole numbers.

410__ 4

10__ 10

10__ 4

10__

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

B. 8 – 6

Course 1


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

16__ 7

12__

7 212__ 6 14

12__

Rename 7 as 6 + 1 = 6 + + .

–3 712__ –3 7

12__

______ ______


whole numbers.

212__ 2

12__ 12

12__ 2

12__

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

B. 7 – 3

Course 1


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

23__

6 5 33__

–3 23__ –3 2

3__

______ ______

2


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

3__

13__

C. 6 – 3

Course 1


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

34__

5 4 44__ Write 5 as a mixed number with a

denominator of 4. Rename 5 as 4 + .

–2 34__ –2 3

4__

______ ______

2


44__

14__

C. 5 – 2

Course 1


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

13__ 3

4__

5 412__ 4 16

12__

–2 912__ –2 9

12__

______ ______


whole numbers.

Rename 5 as 4 + 1 = 4 + + .412 __ 4

12__ 12

12__ 4

12__

The LCM of 4 and 3 is 12.

D. 5 – 2

Course 1


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

12__ 2

3__

8 36__ 7 9

6__

Rename 8 as 7 + 1 = 7 + + .

–4 46__ –4 4

6__

______ ______


whole numbers.

36__ 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?

34__



–2 34__ –2 3

4__

______ ______

12


44__

14__

Li needs another 12 yards of fabric.14__

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?

56__



–4 56__ –4 5

6__

______ ______

8


66__

16__

Peggy needs another 8 yards of fabric.16__

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?

16__



–11 16__ –11 1

6__

______ ______

3


66__

56__

Li will have 3 yards of fabric.56__

Course 1


Try This: Example 2B

B. If Peggy uses 9 yards of fabric, how much of the 13 yards will she have left?

14__



–9 14__ –9 1

4__

______ ______

3


44__

34__

Peggy will have 3 yards of fabric left.34__

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?

47__ 6

7__ 7

10__ 4

5__

29__ 3

8__ 9

16__

38__

3 57__ 4 9

10__

1 79__ 513

16__

6 cups58__

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

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