K–10Mathematics K–10 Syllabus
Mathematics for K−2
The new syllabus must now be taught in Kindergarten to Year 2 in all NSW primary schools.
Mathematics for 3−10
The new syllabus is to be taught in Years 3 to 10 from 2024.
2024 – Start teaching the new syllabus
School sectors are responsible for implementing syllabuses and are best placed to provide schools with specific guidance and information on implementation given their understanding of their individual contexts.
Content
Stage 5
- 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-02
establishes and applies the properties of trigonometric functions and finds solutions to trigonometric equations (Path: Adv)
Stn (Standard), Adv (Advanced) and Ext (Extension) have been used to suggest paths for related Stage 6 courses.
Redefine the sine and cosine ratios in terms of the unit circle
Verify that the tangent ratio can be expressed as a ratio of the sine and cosine ratios
Use graphing applications to examine the sine, cosine and tangent ratios for (at least) , and graph the results
Use graphing applications to examine graphs of the sine, cosine and tangent functions for angles of any magnitude, including negative angles
Use the unit circle or graphs of trigonometric functions to establish and apply the relationships , , and for obtuse angles when
Establish and apply the relationship where is the gradient of the line and is the angle of inclination of a line with the -axis on the Cartesian plane
Derive and apply the exact sine, cosine and tangent ratios for angles of , and
Verify and use the relationships between the sine and cosine ratios of complementary angles in right-angled triangles: and
Find the possible acute and/or obtuse angles, given a trigonometric ratio
Apply the sine rule and area rule to find angles involving the ambiguous case