K–10Mathematics K–10 Syllabus

Implementation for K–2 from 2023 and 3–10 from 2024

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Content

Early Stage 1

Stage 1

Stage 2

Stage 3

Stage 4

Stage 5

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Teaching advice

Examples

Trigonometry C (Path)

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
MA5-TRG-P-01
applies Pythagoras’ theorem and trigonometry to solve 3-dimensional problems and applies the sine, cosine and area rules to solve 2-dimensional problems, including bearings (Path: Stn, Adv)

Trigonometry C (Path)

Stn (Standard), Adv (Advanced) and Ext (Extension) have been used to suggest paths for related Stage 6 courses.

Solve 3-dimensional problems involving right-angled triangles

Apply Pythagoras’ theorem to solve problems involving the lengths of the edges and diagonals of rectangular prisms and other 3-dimensional objects
Apply trigonometry to solve problems involving right-angled triangles in 3 dimensions, including using bearings and angles of elevation and depression

Apply the sine, cosine and area rules to any triangle and solve related problems

Use graphing applications to verify the sine rule $\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}$ and that the ratios of a side to the sine of the opposite angle is a constant
Apply the sine rule in a given triangle $A B C$ to find the value of an unknown side
Apply the sine rule in a given triangle $A B C$ to find the value of an unknown angle (ambiguous case excluded): $\frac{\sin A}{a} = \frac{\sin B}{b} = \frac{\sin C}{c}$
Use graphing applications to verify the cosine rule $c^{2} = a^{2} + b^{2} - 2 a b \cos C$ .
Apply the cosine rule to find the unknown sides for a given triangle $A B C$ .
Rearrange the formula to deduce that $\cos C = \frac{a^{2} + b^{2} - c^{2}}{2 a b}$ and use this to find an unknown angle
Use graphing applications to verify the area rule $A = \frac{1}{2} a b \sin C$ .
Apply the formula $A = \frac{1}{2} a b \sin C$ , where $a$ and $b$ are the sides that form angle $C$ to find the area of a given triangle $A B C$
Solve problems involving finding unknown angles or sides in triangles (excluding right-angled triangles) by selecting and applying the appropriate rule

Related files

Life Skills