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
applies algebraic techniques and the laws of indices and surds to manipulate expressions and solve problems
uses functions and relations to model, analyse and solve problems
analyses and solves algebraic and graphical problems involving transformations of functions and relations
applies trigonometry to solve problems involving geometric shapes
uses periodic functions to solve trigonometric equations and prove trigonometric identities
interprets the meaning of the derivative and determines the derivative of functions to solve problems
applies exponential and logarithmic laws to simplify expressions, solve equations and prove results
analyses graphs of exponential and logarithmic functions
solves problems involving probability in a variety of contexts
displays and analyses datasets using summary statistics and graphical representations
uses algebraic and graphical techniques to analyse trigonometric functions
models, analyses and solves practical problems involving functions and their transformations
uses arithmetic and geometric sequences and series to model and solve problems
selects and applies differentiation methods to solve problems
solves problems involving indefinite and definite integrals
applies calculus to graph functions and model and solve problems involving optimisation, rates of change and motion in a line
solves problems involving discrete probability distributions, continuous random variables and the normal distribution
models and solves problems to make informed decisions about financial situations