# Analysis of the Squares: Trinomial

From wikisori

## Contents

### Age

6-9.

### Materials

- Box of colored bead bars 1-10
- One each of the squares of 1-10
- Rubber bands

### Preparation

### Presentation

- This time we'll decompose the square in a different way.
- Count 3 along one side, and place the rubber band around the square.
- Count 3 along the other side and put on a rubber band.
- Now continue counting 5 more beads, and put a rubber band around.
- Do the same on the other side.
- Directress asks the child; "Into how many parts have we decomposed the square?".
- Observe how each of the 9 parts is composed.
- Notice the three squares which all lie on the diagonal, and the various rectangles formed.
- As before, we'll construct the squares as we write it all down.

3 x 3 = 09

3 x 5 = 15

3 x 2 = 06

30

5 x 3 = 15

5 x 5 = 25

5 x 2 = 10

+50

2 x 3 = 06

2 x 5 = 10

2 x 2 = 04

+ 20

= 100

### Control Of Error

Compute the sums of the three columns and add them together. Then slide all the bead bars toward the center, and place the 100-square on top. These are the two ways to prove that this equals one hundred.

### Points Of Interest

### Purpose

### Variation

### Links

### Handouts/Attachments