Video: Using Area Models to Understand How to Solve Multiplication Problems Using the Distributive Property and Addition Facts

Mason is learning to multiply by breaking apart factors and then adding. For 6 × 12, he draws a 6-by-12 rectangle and splits it into two parts. What is the missing expression in 6 × 12 = (?) + (6 × 4)? What is 6 × 12?

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Video Transcript

Mason is learning to multiply by breaking apart factors and then adding. For six times 12, he draws a six-by-12 rectangle and splits it into two parts. What is the missing expression in six times 12 equals something plus six times four? And then, what is six times 12?

Mason started with the six-by-12 rectangle. And he broke it up into two pieces. The width of both of these pieces is six. That is not changing. One of the rectangles, the one on the left, has a length of eight. And the other has a length of four.

The small rectangle he’s shown as six times four. And that means the large rectangle should be six times eight. The large rectangle is eight units long. And the small rectangle is four units long. And eight plus four equals 12.

The missing expression must be six times eight. And we know that six times eight equals 48. Six times four equals 24. When we add 24 and 48, we get 72. And that tells us that six times 12 equals 72.

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