1. Factorising expressions
What do you think these diagrams represent?
What is the same/different?

2. Factorising expressions
How could you group this set of tiles?
Draw some different groupings on your mini-whiteboard. x x x x x x 1 1 1 1 1 1 1 1 1 1 1 1

3. Factorising expressions
Here is one suggestion: x 1 x x 3 1 1 1 1
3(2x + 4)

4. Factorising expressions
Here is another suggestion:
When we factorise an expression, we try to make the groups as small/simple as possible. x x x x x x x x x x 6 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
6(x + 2)

5. Remember to make the groups as simple as possible!
Factorise these expressions. Use the algebra tiles to help.
2x + 4
3x + 12
6x + 24
4x – 12
5x – 15
4x + 6
12x + 15
18x + 9
6x – 3
8x – 22
4 – 8x
9 – 3x
18 – 4x
9x + 33
15 – 5x
Finished?
Can you work out how to factorise
x² + 4x? Try to draw a diagram to show this.
Remember to make the groups as simple as possible!

6. Factorise these expressions. Use the algebra tiles to help.