1. Open Area Model of Multiplication

2. Reasons for use: 1. Considers both dimensions of the array model
2. Increases algebraic thinking
3. Increases understanding of place value

3. Procedure: Let’s look at the problem 56 x 32 = ?
First: you draw a rectangular box.

4. Second you break down the number 56 to 50 + 6
Second you break down the number 56 to And place the new number atop the rectangle Make sure you draw a line down where the two numbers meet. Make sure the line is representative of where they should be on the number line. It does not have to be exact. 50 6

5. Third: You perform the same method to the next number, except you place it on the side.50 6 30 2

6. Fourth: Then you multiply:
50 x 30
30 x 6
50 x 2
6 x 2 50 6 30
1,500
180 2
100 12

7. Fifth: You add up your products. Viola, you have your answer.
1,500
180
100
1,792