Factorising expressions What do you think these diagrams

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

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

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

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

Factorise these expressions. Use the algebra tiles to help. 1) 2) 3) 4) 5) 2 x + 4 3 x + 12 6 x + 24 4 x – 12 5 x – 15 Remember to make the groups as simple as possible! 1) 2) 3) 4) 5) 4 x + 6 12 x + 15 18 x + 9 6 x – 3 8 x – 22 1) 2) 3) 4) 5) 4 – 8 x 9 – 3 x 18 – 4 x 9 x + 33 15 – 5 x Finished? Can you work out how to factorise x² + 4 x? Try to draw a diagram to show this.

Factorise these expressions. Use the algebra tiles to help. 1) 2) 3) 4) 5) 2 x + 4 3 x + 12 6 x + 24 4 x – 12 5 x – 15 1) 2) 3) 4) 5) 4 x + 6 12 x + 15 18 x + 9 6 x – 3 8 x – 22 1) 2) 3) 4) 5) 4 – 8 x 9 – 3 x 18 – 4 x 9 x + 33 15 – 5 x 1) 2) 3) 4) 5) 2(x + 2) 3(x + 4) 6(x + 4) 4(x – 3) 5(x – 3) 1) 2) 3) 4) 5) 2(2 x 3(4 x 9(2 x 3(2 x 2(4 x 1) 2) 3) 4) 5) 4(1 – 2 x) 3(3 – x) 2(9 – 2 x) 3(3 x + 11) 5(3 – x) + 3) + 5) + 1) – 11)