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NSW Curriculum

NSW Education Standards Authority

K–10Mathematics K–10 Syllabus

Record of changes

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

Expand for detailed implementation advice

Overview Rationale Aim Outcomes Content Assessment Glossary Teaching and learning support

Content

Early Stage 1

Stage 1

Stage 2

Stage 3

Stage 4

Stage 5

View Life Skills

Teaching advice

Examples

Volume B (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-VOL-P-01
applies knowledge of the volume of right pyramids, cones and spheres to solve problems involving related composite solids (Path: Stn, Adv)

Volume B (Path)

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

Solve problems involving volumes

Find the volume of right pyramids and right cones by using an appropriate formula: volume of pyramid or cone $V = \frac{1}{3} A h$ , where $A$ is the base area and $h$ is the perpendicular height
Find the volume of spheres by using an appropriate formula: volume of sphere $V = \frac{4}{3} π r^{3}$ , where $r$ 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 volumes and capacities of solids including right pyramids, right cones and spheres

Related files

Life Skills