# factorise

### teacher overview

### teach-learn-practise

teach-learn | practise-learn | timely practice | |

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4 | factoriseTL4.pdf | ||

5 | |||

6 | factoriseTL6.pdf | ||

7 | factoriseTL7.pdf | factorise7.pdf | |

8 | factoriseTL8.pdf | factorise8.pdf |

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### NC information

A1 use and interpret algebraic manipulation, including:

*ab*in place of*a*×*b*- 3
*y*in place of*y*+*y*+*y*and 3×*y* *a*^{2 }in place of*a*×*a*,*a*^{3 }in place of*a*×*a*×*a*,*a*^{2}*b*in place of*a*×*a*×*b*- a/b in place of
*a*÷*b* - coefficients written as fractions rather than as decimals
- brackets

A4 simplify and manipulate algebraic expressions (__including those involving surds__ **and algebraic fractions**) by:

- collecting like terms
- multiplying a single term over a bracket
- taking out common factors
- expanding products of two
**or more**binomials __factorising quadratic expressions of the form__;*x*^{2 }+*bx*+*c*, including the difference of two squares**factorising quadratic expressions of the form***ax*^{2 }*+bx+c*- simplifying expressions involving sums, products and powers, including the laws of indices

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