Mathematics / Year 10 / Measurement and Geometry / Using units of measurement

Version 8
View on Australian Curriculum website Australian Curriculum, Assessment and Reporting Authority
Curriculum content descriptions

Solve problems involving surface area and volume of right pyramids, right cones, spheres and related composite solids (ACMMG271)

Elaborations
  • using formulas to solve problems
  • using authentic situations to apply knowledge and understanding of surface area and volume
General capabilities
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Volume (Dimensions),  Surface area,  Polyhedrons,  Cones (Solids),  Spheres

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In this laptop-friendly resource, students consider the difference between volume and surface area before posing practical problems. They then consider issues relating to unit conversions and similar figures.

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A piece of cake

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In this lesson, students build on their skills in finding volumes and surface areas of prisms and cylinders to design a multi-level celebration cake for a party. They use mathematical modelling to vary the size and shape of the component cakes and to calculate how much frosting is needed.

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A student resource that explores the use of mathematics in the trades. Highly interactive investigations into ratio, areas of special quadrilaterals and right-angled trigonometry.

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