Daniel

I took the 2 from the 27 which is 25.

25 x 7 = 100 [He likely means 25 x 4]

Then I thought of the extra 2’s that I took away from the 27’s which became 25, so I did 4 x 2 = 8.

8 + 100 = 108

 

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Darren

4 x 20 = 80

4 x 7 = 28

80 + 28 = 108

 

Use the dynamic open array below to represent Darren’s strategy.  To begin, drag the black dots left to right and top to bottom.

 

 

 

 

 

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Tatia

10 x 4 = 40, then we did that again.

40 + 40 = 80.

4 x 7 = 28

Then we added those two together, which equals 108

 

 

 

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Jonathan

27 x 2 = 54

And since 2 is half of the 4 we are using in the main problem, we just did it multiplied by 2, and that is 108.

 

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Rona

27 + 3 = 30

30 x 4 = 120

120—(3 x 4) = 108

 

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Text Box: Now that we have looked at several students’ approaches, use the open array depiction below to represent each of these solutions.  Daniel’s solution is shown as an example.

Children’s Strategies for  Multiplication