11–12Mathematics Advanced 11–12 Syllabus

Implementation from 2026

Expand for detailed implementation advice

Content

Year 11

Year 12

Teaching advice

Examples

Further graph transformations and modelling

MAO-WM-01
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
MAV-12-01
uses algebraic and graphical techniques to analyse trigonometric functions
MAV-12-02
models, analyses and solves practical problems involving functions and their transformations

Further graph transformations and modelling

Transformations of trigonometric functions

Use graphing applications to explore reflections, translations and dilations of, and confirm that the principles of transformations hold for, the trigonometric functions $f (x) = \sin x$ , $f (x) = \cos x$ and $f (x) = \tan x$
Apply the principles of transformations to graph transformations of the trigonometric functions $f (x) = \sin x$ , $f (x) = \cos x$ and $f (x) = \tan x$ , describe which transformations have been applied to $y = f (x)$ and determine the domain, range, horizontal translation, vertical translation, dilation factor, period and amplitude when applicable
Solve equations and graphical problems involving transformations of the trigonometric functions $f (x) = \sin x$ , $f (x) = \cos x$ or $f (x) = \tan x$ , using graphing applications or otherwise, within a specified domain

Modelling with functions

Model and solve problems involving periodic phenomena using transformations of the trigonometric functions $f (x) = \sin x$ , $f (x) = \cos x$ or $f (x) = \tan x$ , without the use of calculus
Model and solve practical problems involving functions and their transformations, within the scope of the Mathematics Advanced course, using graphical and algebraic techniques
Recognise that logarithmic scales are useful to represent a variable that ranges over a large set of values and explain when a logarithmic scale is suitable
Use logarithmic scales to model and solve problems involving decibels (dB) in acoustics, seismic scales for earthquakes, magnitudes of stars and the pH scale in chemistry

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