OVERVIEW

Higher: Students will learn how to calculate exactly with surds. Simplify and manipulate algebraic expressions by expanding products of two or more binomials, identify and interpret roots, intercepts, turning points of quadratic functions graphically, identify turning points by completing the square.

Recognise, sketch and interpret graphs of quadratic functions and simple cubic functions. Solve quadratic equations (including those that require rearrangement), find approximate solutions using a graph.

Solve two simultaneous equations in two variables (linear/linear or linear/quadratic) algebraically, find approximate solutions using a graph

Find approximate solutions to equations numerically using iteration. Derive an equation (or two simultaneous equations), solve the equation(s) and interpret the solution.

Solve linear inequalities in one or two variable(s) and quadratic inequalities in one variable. Represent the solution set on a number line, using set notation and on a graph.