Mathematics / Year 10 / Measurement and Geometry / Geometric reasoning

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Curriculum content descriptions

Formulate proofs involving congruent triangles and angle properties (ACMMG243)

Elaborations
  • applying an understanding of relationships to deduce properties of geometric figures (for example the base angles of an isosceles triangle are equal)
General capabilities
  • Numeracy Numeracy
ScOT terms

Angles,  Congruence (Geometry),  Triangles (Shapes),  Mathematical proofs

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interactive activities that guide students to explore the interior and exterior angle sums of polygons.

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

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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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Proof: Year 10 – planning tool

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This planning resource for Year 10 is for the topic of Proof. Students are familiar with the basics of geometry and have been introduced to proof when looking at similar triangles. They will be extending and applying these skills and using deductive reasoning and geometric theorems to solve spatial problems in relation ...

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Work sample Year 10 Mathematics: Proof and conjecture

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This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 10 Mathematics. The primary purpose for the work sample is to demonstrate the standard, so the focus is on what is evident in the sample not how it was created. The sample is an authentic representation ...

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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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TIMES Module 34: Number and Algebra: quadratic equations - teacher guide

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This is a 19-page guide for teachers. It introduces quadratic equations and methods for solving them.

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An animated tutorial about using a calculator to find an angle when given a trigonometric ratio. An interactive quiz is included.

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The Mathematical Toolkit

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A 2D Shapes tool that can be used to create geometric objects such as quadrilaterals, circles, triangles, lines, arcs, rays, segments and vectors on a coordinate grid. Plot and label the vertices to reveal the internal angles, side lengths, area and perimeter, then manipulate the shapes on a grid to transform their shape ...

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Laptop wrap – a slippery slope

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

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Interactive activities that guide students to investigate properties of parallelograms.

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