dig into intervention: fraction addition

14
DIG INTO INTERVENTION: FRACTION ADDITION Presented by MathLinks Author Mark Goldstein For more information about our core programs for middle school and intervention programs for grades 6-9, please visit: www.mathandteaching.org

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DIG INTO INTERVENTION:

FRACTION ADDITION

Presented by MathLinks Author

Mark Goldstein

For more information about our core programs for middle school and

intervention programs for grades 6-9, please visit:

www.mathandteaching.org

In this session, you will learn:

Some models for illustrating fraction

addition

Some strategies for adding fractions

2

Philosophy

Reviews elementary topics from a more

mature perspective

Develops concepts using sense making

strategies

Uses horizontal recording techniques that

help prepare students for algebra

Many learners struggle with fractions in middle

school and beyond. Our intervention work:

3

Assumptions

Students understand fraction meaning and equivalence.

4

Assumptions

Students can rename fractions using “the big 1.”

1

3·3

3=3

9

Diagram 1 Diagram 2

1 whole 1 whole

3

9

1

3

5

Strategies/Approaches

Use a diagram

Use mental math

Use paper and pencil calculations

6

Add:

1 3 4

5 5 5

1 3

5 5

0

5

1

5

2

5

3

5

4

5

5

5

7

Interpreting “mixed” numbers

2 21 1

5 5

0 1 2

8

Add: 1 1 26 2 4

3 4 3

12 11

4

113

4

1 1 2 6 2 4

3 4 3

9

You have two and three-fourths waffles. Your

friend has one and one-eighth waffles. How many

waffles do you have together?

3 12 1

4 8

3

6 13

8 8

7 73 3

8 8

3 12 1

4 8

1

8

3 2

4 2

10

You have two and three-fourths waffles. Your

friend has one and one-eighth waffles. How many

waffles do you have together?

3 12 1

4 8

11 9

4 8

11 2

4 2

22 9

8 8

31 7 3

8 8

9 8

11

Sequence summary - adding only

2 12

3 2.

35 1

8.

36 3

8.

1 18 3 2

3 2.

12

1 31

5 5.

2 23 1 1

5 5.

1 1 24 6 2 4

3 4 3.

3 17 2 1

4 8.

OUR PROGRAMS:

Comprehensive 6-8 curriculum

Customized intervention grades 6-9

Special Education programs

Supplemental programs

For more information, please visit our website at

www.mathandteaching.org

13

THANK YOU!

Shelley Kriegler

([email protected])

Mark Goldstein

([email protected])

To download handouts or view webinars go to

www.mathandteaching.org/webinars