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Solid geometry
In this unit, students practise spatial visualisation in three-dimensions, study the effect of dilation on area and volume, derive volume formulas using dissection arguments and Cavalieri’s principle, and apply volume formulas to solve problems involving surface area to volume ratios, density, cube roots and square roots.
Additional details |
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| Year level(s) | Year 10 |
|---|---|
| Audience | Teacher |
| Purpose | Teaching resource, Student task |
| Format | Web page |
| Teaching strategies and pedagogical approaches | Explicit teaching |
| Keywords | Geometry, Cylinder, Cone, Prism, Surface area, Volume |
Curriculum alignment |
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| Curriculum connections | Critical and creative thinking |
| Strand and focus | Measurement |
| Topics | Area, volume and surface area |
| AC: Mathematics (V9.0) content descriptions |
AC9M10M01
Solve problems involving the surface area and volume of composite objects using appropriate units |
| Numeracy progression |
Understanding geometric properties (P7)
|
Copyright details |
|
| Organisation | Illustrative Mathematics |
| Copyright | © Open Up Resources/Illustrative Mathematics. Creative Commons BY 4.0. |
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Volume and surface area: Year 10 – planning tool
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Pyramid and cone volume videos
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