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Understanding Area Models for Multiplication. Making Sense of Multiplication Using any of the tools available at your table: Model 3 x 4.

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Presentation on theme: "Understanding Area Models for Multiplication. Making Sense of Multiplication Using any of the tools available at your table: Model 3 x 4."— Presentation transcript:

1 Understanding Area Models for Multiplication

2 Making Sense of Multiplication Using any of the tools available at your table: Model 3 x 4

3 Meanings for multiplication Repeated addition xxxx xxxx xxxx Array xxxx Area Counting possibilities (I have 3 shirts and 2 pants, how many outfits?) 3

4 With materials at your table, use an area model to show: 6 x 13

5 Using an area model to calculate 6 x 13: 13 6 6 x 13 = 78 Making Sense of Multiplication

6 Using an area model to calculate 6 x 13: 10 3 6 6 x 106 x3 6 x 13 = 6 x (10 + 3) = (6 x 10) + (6 x 3) = 60 + 18 = 78 Making Sense of Multiplication

7 With materials at your table, use an area model to show: 12 x 26

8 Using an area model to calculate 12 x 26: 20 6 10 2 10 x 2010x 6 2 x 20 2 x 6 Making Sense of Multiplication 12 x 26 = (10 + 2) (20 + 6) = (10 x 20) + (10 x 6) + (2 x 20) + (2 x 6) = 200 + 60 + 40 + 12 = 312

9 9 Mixed Number Multiplication Using a ruler and card, draw a rectangle that is by inches, and find the total number of square inches. Find your answer first by counting, then by multiplying. Compare your answers--are they the same?

10 10 Mixed Number Multiplication

11 11 Mixed Number Multiplication

12 Area model for fractions fractionareamodel.gsp fractionareamodel.gsp 12

13 A decimal example: 13


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