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NSW Curriculum

NSW Education Standards Authority

K–10Mathematics K–10 Syllabus (2022)

Record of changes

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

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Teaching advice

Examples

Area and surface area 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-ARE-P-01
applies knowledge of the surface area of right pyramids and cones, spheres and composite solids to solve problems (Path: Stn, Adv)

Related Life Skills content for Stage 5

Area

Area and surface area B (Path)

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

Solve problems involving surface areas

Identify the Loading heights and slant heights of right pyramids and right cones
Apply Loading to find the slant heights, Loading Loading and perpendicular heights of right pyramids and right cones
Solve problems involving the Loading of right pyramids and compare methods of solution
Apply the formula to find the curved surface area of right cones: $A = π r l$ , where $r$ is the length of the radius and $l$ is the slant height
Apply the formula to find the surface area of spheres: $A = {4 π r}^{2}$ , where $r$ is the length of the radius
Solve problems involving the surface area of solids in a variety of contexts including composite solids

Related files

Life Skills