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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.
|Year level(s)||Year 10|
|Purpose||Teaching resource, Student task|
|Teaching strategies and pedagogical approaches||Explicit teaching|
|Keywords||Geometry, Cylinder, Cone, Prism, Surface area, Volume|
|Curriculum connections||Critical and creative thinking|
|Strand and focus||Measurement|
|Topics||Area, volume and surface area|
|AC: Mathematics (V9.0) content descriptions||
Solve problems involving the surface area and volume of composite objects using appropriate units
Understanding geometric properties (P7)
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