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

Curriculum content descriptions

Solve problems involving surface area and volume for a range of prisms, cylinders and composite solids (ACMMG242)

Elaborations
  • investigating and determining the volumes and surface areas of composite solids by considering the individual solids from which they are constructed
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
ScOT terms

Volume (Dimensions),  Cylinders,  Prisms,  Surface area

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Laptop wrap: Under the surface

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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Geometry of water sources and landforms

Indigenous cultures have always been deeply aware of the location of water and its significance. In this resource students will apply geometric, trigonometric, and algebraic techniques to analyse idealised water body shapes and associated landforms. They will calculate surface areas, volumes, angles, and heights of these ...

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A piece of cake

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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Renovate, Calculate!

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.

Interactive

Laptop wrap: Talking trigonometry

In this laptop-friendly resource, students consolidate their understanding of trigonometry by investigating practical applications of the ratios, highlighting the process they used to find a solution.

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The geometer's warehouse

This web-based, multimedia resource focuses on the geometry of the Stage 4 and Stage 5 Mathematics syllabus. It comprises 70 dynamic html worksheets, each exploring a different outcome in Stage 4 and Stage 5 geometry.

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TIMES Module 22: Measurement and Geometry: scale drawings and similarity - teacher guide

This is a 41-page guide for teachers. It contains an introduction to scale drawings and similarity, and in particular the tests for triangles to be considered similar. Applications of similarity are included throughout the module.