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 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

### NC information

A1Â use and interpret algebraic manipulation, including:

• abÂ in place ofÂ aÂ Ã—Â b
• 3yÂ in place ofÂ y+y+yÂ andÂ 3Ã—y
• a2Â in place ofÂ aÃ—a,Â a3Â in place ofÂ aÃ—aÃ—a,Â a2bÂ in place ofÂ aÃ—aÃ—b
• a/b in place ofÂ aÃ·b
• coefficients written as fractions rather than as decimals
• brackets

A4Â simplify and manipulate algebraic expressions (including those involving surdsÂ and algebraic fractions) by:

• collecting like terms
• multiplying a single term over a bracket
• taking out common factors
• expanding products of twoÂ or moreÂ binomials
• factorising quadratic expressions of the formÂ x2Â +Â bxÂ +Â c, including the difference of two squares;
• factorising quadratic expressions of the formÂ ax2Â +bx+c
• simplifying expressions involving sums, products and powers, including the laws of indices