K–10Mathematics K–10 Syllabus (2022)
The new Mathematics K–10 Syllabus (2022) is to be implemented from 2024 and replaces the Mathematics K–10 Syllabus (2012).
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-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)
Stn (Standard), Adv (Advanced) and Ext (Extension) have been used to suggest paths for related Stage 6 courses.
Apply Loading to solve problems involving the Loading of the Loading and diagonals of Loading prisms and other 3-dimensional Loading
Apply trigonometry to solve problems involving right-angled Loading in 3 dimensions, including using Loading and Loading and Loading
Use graphing applications to verify the sine rule 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 to find the value of an unknown side
Apply the sine rule in a given triangle to find the value of an unknown angle (ambiguous case excluded):
Use graphing applications to verify the cosine rule .
Apply the cosine rule to find the unknown sides for a given triangle .
Rearrange the formula to deduce that and use this to find an unknown angle
Use graphing applications to verify the area rule .
Apply the formula , where and are the sides that form angle to find the area of a given triangle
Solve problems involving finding unknown Loading or Loading in triangles (excluding right-angled triangles) by selecting and applying the appropriate rule