Mathematics / Year 9 / Measurement

Curriculum content descriptions

solve problems involving the volume and surface area of right prisms and cylinders using appropriate units (AC9M9M01)

Elaborations
  • analysing nets of objects to generate short cuts and establish formulas for surface area
  • determining the amount of material needed to make can-coolers for a class fundraising project and working out the most cost-efficient way to cut out the pieces
  • finding different prisms that have the same volume but different surface areas, making conjectures as to what type of prism would have the smallest or largest surface area
  • investigating objects and technologies of First Nations Australians, analysing and connecting surface area and volume, and exploring their relationship to their capacity
General capabilities
  • Numeracy Numeracy
ScOT terms

Units of measurement,  Surface area,  Cubic metres,  Cylinders,  Volume (Dimensions),  Square metres,  Right prisms

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reSolve: Tree Biomass

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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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Surface area and volume of prisms and cylinders

This is a website designed for both teachers and students, which addresses the surface area and volume of prisms and cylinders from the Australian Curriculum for year 9 students. It contains material on calculating the surface area and volume of prisms and cylinders. There are pages for both teachers and students. The student ...

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reSolve: Mechanical Linkages: Similar Triangles

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reSolve: Gradient and Tangent

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reSolve: Monte Carlo Simulations

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reSolve: Pythagoras' Theorem - Phone finding

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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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MathXplosion, Ep 50: How to use a tetrahedron to solve the tree problem

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Mystery man Pythagoras meets his match

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Maths inside bees and beehives

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TIMES Module 11: Measurement and Geometry: area, volume and surface area - teacher guide

This is a 15-page guide for teachers containing explanations of the derivation of formulas for the areas of parallelograms, trapeziums, rhombuses and kites. Formulas for the volumes and surface areas of prisms and cylinders are obtained. Applications of these formulas are given. A history of the development of these concepts ...

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Trigonometry

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Similarity

This is a website designed for both teachers and students, which addresses similarity from the Australian Curriculum for year 9 students. It contains material on enlargement transformation and similar triangles. There are pages for both teachers and students. The student pages contain interactive questions for students ...

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Surface area of prisms

This is a five-page HTML resource about solving problems concerning surface areas of prisms. It contains one video and five questions, two of which are interactive. The resource discusses and explains solving problems involving determining surface areas of prisms to reinforce students' understanding.

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TIMES Module 21: Number and Algebra: rates and ratios - teacher guide

This is a 17-page guide for teachers. This module introduces the idea of ratios and rates. Ratios are used to compare two quantities. The emphasis is usually on comparing parts of the whole. Rates are a measure of how one quantity changes for every unit of another quantity. It relates the ideas of ratios, gradient and fractions.

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Scientific notation

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