Outcomes
develops understanding and fluency in mathematics through exploring and connecting mathematical concepts, choosing and applying mathematical techniques to solve problems, and communicating their thinking and reasoning coherently and clearly
solves problems involving inequalities, functions and their inverses, graphical relationships between functions, and parametric equations
applies the remainder and factor theorem and sums and products of zeroes to solve problems involving polynomials
solves problems in three dimensions using trigonometry and simplifies expressions, proves results and solves problems involving compound angles using trigonometric identities
uses permutations and combinations to solve problems involving counting, ordering and probability
uses the binomial theorem to solve problems and prove identities
uses mathematical induction to prove results involving sums and divisibility
operates with 2D and 3D vectors and uses 2D vectors to solve problems involving motion in two dimensions
solves problems involving inverse trigonometric functions
selects and applies differentiation and integration techniques to solve problems
applies calculus to solve problems involving polynomials, further rates of change, areas and volumes and differential equations
solves problems involving binomial distributions, sampling distribution of the mean and the central limit theorem