Mathematics / Year 7 / Measurement and Geometry / Geometric reasoning

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Curriculum content descriptions

Identify corresponding, alternate and co-interior angles when two straight lines are crossed by a transversal (ACMMG163)

Elaborations
  • defining and classifying pairs of angles as complementary, supplementary, adjacent and vertically opposite
General capabilities
  • Numeracy Numeracy
ScOT terms

Co-interior angles,  Corresponding angles,  Horizontal planes

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5 direct matches to ACMMG163 | 15 other related resources
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The amazing 'angle-a-tron'

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Lost your protractor? Well, find out how to make an 'angle-a-tron'. This might just be the coolest mathematical tool you've ever used. Measure all sorts of angles. It's easy with an angle-a-tron!

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TIMES Module 9: Measurement and Geometry: introduction to plane geometry - teacher guide

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This is a 16-page guide for teachers. It provides an introduction to the initial ideas of plane geometry. Points and lines are introduced as fundamental objects in the study of geometry. Angles and parallelism are the initial areas of attention in a more formal approach to geometry that occurs from year 7.

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Geometric reasoning including parallel lines and angle sum of a triangle

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This is a website designed for both teachers and students that addresses geometry from the Australian Curriculum for year 9 students. It contains material on geometry and includes information regarding parallel lines and the angle sum of triangles. There are pages for both teachers and students. The student pages contain ...

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Interactive

Numeracy wrap: Race across transversals

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Interactive activities that guide students to explore angles in parallel lines.

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Interactive

The geometer's warehouse

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

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How can you place four trees exactly the same distance apart from one other? By making a model! By using miniature trees to make a model of the problem, it becomes clear that a 2D solution is impossible. We learn how objects can help us visualise the problem situation, which in this case requires a 3D solution: a tetrahedron.

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Modelling climate changes

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There is a saying: 'climate is what you expect and weather is what you get'. |Understanding climate change is very difficult for most people, especially when the weather we experience is different from the information we are given by scientists about the climate changing. The difference is that weather reflects short-term ...

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Maths inside bees and beehives

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Bees are necessary for assisting many plants to produce the food we eat, including meat and milk. Colony collapse disorder, which describes the disappearance of beehives, could have catastrophic effects on food production. Australian scientists are applying their maths and science knowledge to build up a picture of a healthy ...

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MathXplosion, Ep 10: What is the strongest shape?

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Are triangles really the strongest shapes ever? If so, why? Learn how and why right-angled and equilateral triangles have been used in engineering, architecture and design through the ages.

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Secondary mathematics: using real data

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These seven learning activities, which focus on the use of 'real data' using a variety of tools (software) and devices (hardware), illustrate the ways in which content, pedagogy and technology can be successfully and effectively integrated in order to promote learning. In the activities, teachers use the three content strands ...

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Online

reSolve: Mechanical Linkages: Angles and Lines

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This sequence of lessons explores the geometry of angles using real world contexts including the dynamics of folding and joints. Students investigate side lengths and angles, supported by using physical models and computer simulation. There are opportunities to develop geometric language and to highlight how mathematical ...

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Using Pythagoras' Theorem (Simulation)

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An interactive simulation in which students use Pythagoras' theorem can be used to find distances.

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Numeracy wrap: Parallelogram peculiarities

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Interactive activities that guide students to investigate properties of parallelograms.

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Examples of Pythagoras' Theorem Part 1

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An animated tutorial demonstrating the application of Pythagoras' theorem through some worked examples, followed by a interactive quiz.

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Numeracy wrap: It's what's inside that counts

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

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Examples of Pythagoras' Theorem Part 2

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An animated tutorial demonstrating the application of Pythagoras' theorem through some worked examples, followed by a interactive quiz.

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Renovate, Calculate!

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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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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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Video

Are plants mathematicians?

  • TLF-IDM017685

Ever noticed that plants are examples of Fibonacci numbers? Watch Vi Hart draw examples of flower petals and leaf growth that follow this pattern. See how plants seem to use Phi (.), the golden ratio. Find out how to make your own 'angle-a-tron' to create interesting petal designs. This is the second in a series of two.

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Online

TIMES Module 13: Measurement and Geometry: construction - teacher guide

  • TLF-IDM008821

This is a 30-page guide for teachers that explains the central role of construction and presents examples of constructions.

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