Multiplication with Base 10 Pieces

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Modeling Multiplication With your Base Ten blocks, model

the problem: 3 x 5 Let’s see the example below… How many different ways can we show

3 x 5

Modeling Multiplication

With your math partners, arrange your Base Ten blocks to represent the problem 23 x 6.

Be ready to share! This is one way we could show it:

23 x 6

6

23

Here is the way I would draw this on my paper. I drew the number 23

using base ten pieces. Because this problem is saying I have six groups

of 23, I drew 23 six times.

Then I can count up the 10 sticks (120) and the

ones (18). I can add 120 +18 = 138.

The product of 23x 6 = 138.

23 x 6

23

I could also draw 23 groups of 6. This isn’t as effective to do on paper because it takes longer

and is easier to make a mistake. It will still work though.

It is more practical to use your bigger number as the number you represent with base ten

pieces and your smaller number as the number of groups you

create. (Look back at the last slide to see what I mean)!

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Modeling Multiplication Math Talk

How do our representations match the parts of a multiplication problem?

Why are some of the numbers in the problem represented with rods and some represented with units?

How could you use these models to help you solve a 2-digit by 1-digit multiplication problem in your head?