Mathematics / Year 10 / Measurement and Geometry / Pythagoras and trigonometry

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

Establish the sine, cosine and area rules for any triangle and solve related problems (ACMMG273)

Elaborations
  • applying knowledge of sine, cosine and area rules to authentic problems such as those involving surveying and design
General capabilities
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Trigonometric ratios,  Area

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1 direct match to ACMMG273 | 9 other related resources

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TIMES Module 24: Measurement and Geometry: further trigonometry - teacher guide

  • TLF-IDM008829

This is a 32-page guide for teachers. It provides an introduction to the sine rule and cosine rule and their applications.

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Interactive

Laptop wrap: Talking trigonometry

  • TLF-IDM016176

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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Interactive

Laptop wrap: Under the surface

  • TLF-IDM016697

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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Video

My Five Cents: Why borrowing can cost you more

  • TLF-IDM025250

Think credit cards are basically free money? Gen Fricker will make you think again. Learn how interest rates and fees affect the money you borrow, and why they may be more expensive in the long run. Oh dear! Then test yourself with ASIC MoneySmart's "Things to think about" classroom exercises.  

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TIMES Module 22: Measurement and Geometry: introductory trigonometry - teacher guide

  • TLF-IDM008608

This is a 20-page guide for teachers containing an introduction to the three basic trigonometric ratios. A history of trigonometry concludes the module.

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TIMES Module 25: Measurement and Geometry: trigonometric functions - teacher guide

  • TLF-IDM009049

This is a 21-page guide for teachers. It provides an introduction to the sine, cosine and tangent functions and applications of these.

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Interactive

The geometer's warehouse

  • TLF-IDM016684

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

  • TLF-IDM009166

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.

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A piece of cake

  • TLF-IDA004931

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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Interactive

Renovate, Calculate!

  • TLF-IDM016724

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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