Factorising expressions

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Presentation transcript:

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 x x x 1 1 1 1 1 1 1 1 1 1 1 1

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

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!

Factorise these expressions. Use the algebra tiles to help.