11–12Mathematics Standard 11–12 Syllabus (2024)

Implementation from 2026

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Content

Year 11

Year 12 – Standard 1

Year 12 – Standard 2

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Teaching advice

Examples

Trigonometry

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
MST-12-S2-04
applies trigonometry to solve problems involving right-angled and non-right-angled triangles

Related Life Skills content for Stage 6

Number

Measurement

Mathematics project

Trigonometry

Apply Loading to right-angled triangles to find either the lengths of unknown sides or the size of unknown Loading in both Loading , and degrees and Loading
Apply the sine rule $\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}$ in a given triangle $ABC$ to find the value of an unknown side
Apply the sine rule $\frac{\sin A}{a} = \frac{\sin B}{b} = \frac{\sin C}{c}$ in a given triangle $ABC$ to find the value of an unknown angle, excluding the ambiguous case
Apply the sine rule in a given triangle to find the value of an unknown angle, given that the unknown angle is Loading
Apply the cosine rule $c^{2} = a^{2} + b^{2} - 2 ab \cos C$ in a given triangle $ABC$ to find the value of an unknown side
Apply the cosine rule $\cos C = \frac{a^{2} + b^{2} - c^{2}}{2 ab}$ in a given triangle $ABC$ to find the value of an unknown angle
Apply the formula $A = \frac{1}{2} ab \sin C$ , where $a$ and $b$ are the sides that form the included angle $C$ in a given triangle $ABC$ , to solve problems in a range of contexts
Identify and interpret Loading and Loading and convert between them
Construct and interpret compass Loading and solve related problems
Solve practical problems involving Loading , the trigonometry of right-angled and non-right-angled triangles, Loading and Loading , and true bearings and compass bearings

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Life Skills