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-VOL-P-01
applies knowledge of the volume of right pyramids, cones and spheres to solve problems involving related composite solids (Path: Stn, Adv)
Stn (Standard), Adv (Advanced) and Ext (Extension) have been used to suggest paths for related Stage 6 courses.
Find the volume of right pyramids and right cones by using an appropriate formula: volume of pyramid or cone , where is the base area and is the perpendicular height
Find the volume of spheres by using an appropriate formula: volume of sphere , where is the length of the radius
Apply knowledge of right pyramids, right cones and hemispheres to solve problems involving composite solids
Solve practical problems related to the Loading and capacities of solids including right pyramids, right cones and spheres