# expand: quadratic

sample Q from each layer | teach-learn questions | |||||||||||

layer | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |

practise-learn worksheets | Â | Â | Â | Â | Â | Â | Â | Â | Â | Â | ||

print hints | d/s 2pp | d/s 2pp | d/s 2pp | d/s 2pp | d/s 2pp | d/s 2pp | d/s 2pp | d/s 2pp | d/s 2pp | d/s 2pp | d/s 2pp | d/s 2pp |

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### NC information

A1Â use and interpret algebraic manipulation, including:

*abÂ*in place ofÂ*aÂ*Ã—Â*b*- 3
*yÂ*in place ofÂ*y*+*y*+*yÂ*andÂ 3Ã—*y* *a*^{2Â }in place ofÂ*a*Ã—*a*,Â*a*^{3Â }in place ofÂ*a*Ã—*a*Ã—*a*,Â*a*^{2}*bÂ*in place ofÂ*a*Ã—*a*Ã—*b*- a/b in place ofÂ
*a*Ã·*b* - coefficients written as fractions rather than as decimals
- brackets

A4Â simplify and manipulate algebraic expressions (__including those involving surds__Â **and algebraic fractions**) by:

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