OVERVIEW

Higher: Students will learn how to simplify surd expressions involving squares (e.g. √12 = √(4 × 3) = √4 × √3 = 2√3) and rationalise denominators, simplify and manipulate algebraic expressions (including those involving surds and algebraic fractions). Rearrange formulae to change the subject, argue mathematically to show algebraic expressions are equivalent, and use algebra to support and construct arguments and proofs. Where appropriate, interpret simple expressions as functions with inputs and outputs; interpret the reverse process as the ‘inverse function’; interpret the succession of two functions as a ‘composite function’ (the use of formal function notation is expected).