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-C-01
applies trigonometric ratios to solve right-angled triangle problems
Identify and label the hypotenuse, adjacent and opposite sides with respect to a given angle in a right-angled triangle in any orientation
Identify the sine, cosine and tangent ratios in a right-angled triangle
Verify the constancy of the sine, cosine and tangent ratios for a given angle by applying knowledge of similar right-angled triangles
Find approximations of the trigonometric ratios for a given angle
Find the size of an angle given one of the trigonometric ratios for the angle using digital tools
Apply trigonometry to find the lengths of unknown sides in right-angled triangles with a given angle including angles in degrees and minutes
Apply trigonometry to find the size of unknown angles in right-angled triangles including in degrees and minutes
Solve a variety of practical problems involving trigonometric ratios in right-angled triangles