# Package 3-1 Factor squares

In this task students will investigate factors to solve a problem.

## Things you need

### Ideal

• 24 toothpicks

### Back up

• 24 pencils or sticks

## Before you start

You will need a large table or floor space to spread the toothpicks out.

## What your child needs to know and do

Students will need to know how to count to 24 and the properties of a square.

## What to do next

1. Make 1 large square.

1. Make 2 squares.

2. Make 3 squares.

3. Make 4 squares. Hint: A square can share a side of another square.

4. Can you make 5 squares? Hint: Squares don’t all have to be the same size.

5. Can you make 6 squares?

6. Can you make 7 squares?

7. Now make 8 squares?

8. Can you make 9 squares? Why or why not?

9. Can you make 10 squares? Why or why not?

10. Why can we make some squares and not others?

### Activity too hard?

Use 12 toothpicks instead of 24 and make 1 square, 2 squares, 3 squares and 4 squares.

### Activity too easy?

Follow the same instructions as above but use 48 toothpicks.

Can you make more squares?