Monday, January 12, 2015

2 digit by 2 digit multiplication

Most of my kiddos have mastery of 4 digit by 1 digit multiplication so it's time to move on to 2 digit by 2 digit multiplication.

In case you were wondering... here is my multiplication pack on TeachersPayTeachers

Just like with 4 digit by 1 digit, I start off with the partial products method, and then I move on to the standard algorithm.
However, the partial products method looks a bit different.
This time we can use an array.

48 x 26
I first decompose the numbers.
48 becomes 40 + 8
26 becomes 20 + 6

Then I draw my array.
I solve for the partial products.
20 x 40 = 800
20 x 8 = 160
6 x 40 = 240
6 x 8 = 48
Add up all the partial products and you get the total.

48 x 26 = 1,248

Then I ask myself, is this answer reasonable?

I know 48 is almost 50. 50 x 26 would give me 1,300.
That tells me my answer is reasonable.

Notice I bolded my vocab words:
decompose, array, partial products, total, reasonable
Here's my anchor chart.



Here is a visual I did with one class to show them that it is really an array!
Please ignore the other stuff on the white board. 

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