# What Do You Notice? Array Model

*What Do You Notice?* is a super easy activity that lends itself well to a lot of great math thinking and conversation. These low floor, high ceiling posters are a great way to engage families during a Family Math Night event. That’s why we included them in our Virtual Family Math Night.

**Skills**

K-2: geometry, counting, repeated addition

3-5: geometry, single- and double-digit multiplication, distributive property of multiplication, array model of multiplication

**Background Information**

What’s really cool about multiplication is that no matter what two numbers are multiplied together, geometrically the result creates a rectangular array*. That’s because multiplication is simply repeated addition. The color coding of the poster array helps students visualize this repeated addition. For example, the pink rectangle represents 3 + 3 + 3 + 3 + 3 and so on. But equally clear is that the problem 14 x 13 is 14 rows of 13: 13 + 13 + 13 + 13 + 13…

The other really cool thing is that we can break that visual representation down into partial products. For example, the array on the poster represents the problem 14 x 13. Using partial products to solve the problem would look like: