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### teacher overview

 sample Q from each layer teach-learn questions write in algebra 2.notebook layer 1 2 3 4 5 6 7 8 9 10 11 12 practise-learn worksheets Â Â Â print hints d/s 2pp d/s 2pp x d/s 2pp d/s 1pp d/s 2pp x d/s 2pp s/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

A3 understand and use the concepts and vocabulary of expressions, equations, formulae, identities, inequalities, terms and factors

A5 understand and use standard mathematical formulae; rearrange formulae to change the subject

The rearrangement of formulae where the intended subject appears twice (and so needs to be taken out as a common factor) will be tested on Higher tier only.

A6 know the difference between an equation and an identity; argue mathematically to show algebraic expressions are equivalent, and use algebra to support and construct arguments and proofs

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