Hunter's Woods PH

# Analysis of the Squares - Binomial (Montessori Math)

## Analysis of the squares is an impressionistic introduction to squares and binomials that can lay the groundwork for future higher Maths. Two easy worksheets are included for follow-up work.

This is a hundred square.

It has 10 beads on one side and 10 on the other.
10 x 10 = 100

The square is divided by two imaginary lines into 4 parts.

In the first part, there are 6 beads on one side and 6 on the other.
6 x 6 = 36

On the upper right part, there are 6 beads on one side and 4 on the other.
6 x 4 = 24

The part on the lower left has 4 beads on one side and 6 on the other.
4 x 6 = 24

Finally, in the last part, there are 4 beads on one side and 4 on the other.
4 x 4 = 16

Now let’s add the products of the four parts.
36 + 24 + 24 + 16 = 100

The whole [square] is the sum of its parts!

When you’re older, you will learn that you can look at it this way:
10 squared = (6 + 4) squared = (6 + 4) x (6 + 4) = (6 x 6) + (6 x 4) + (4 x 6) + (4 x 4) = 100

Note on the Worksheets

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### Worksheet 1: Analysis of the Squares - Binomial

You can get a free printable copy of this worksheet here: Montessori Math Analysis of the Squares Binomial – Worksheet 1 (PDF)

### Worksheet 2: Analysis of the Squares - Binomial

You can get a free printable copy of this worksheet here: Montessori Math Analysis of the Squares Binomial – Worksheet 2 (PDF)

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