# Passage from One Square to a Succeeding Square

From wikisori

## Contents

### Age

6-9.

### Materials

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

### Preparation

### Presentation

- The directress chooses a square.
- The child identifies the square chosen by the directress, i.e. the square of 4.
- Let's use this square to build a square of 5.
- Allow the child to suggest and discover ways of doing this.
- Guide the work, giving guidelines such as: 'The sides must be built upon.'
- Four bars are placed to the right and the bottom of the square.
- A one-bead fills in the hole left in the lower right hand corner.
- Superimpose the square of five to verify successful completion.
- Directress asks the child; "What was added to the square of 4 to make the square of 5? two bars of 4 and one unit".
- Square of 4 + what was added = square of 5

4 x 4 = 16

4 + 4 + 1 = 9

5 x 5 = 25

### Control Of Error

### Points Of Interest

### Purpose

- Iindirect preparation for the square of a binomial.

### Variation

### Links

### Handouts/Attachments