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Mathematics / Year 7 / Measurement and Geometry / Geometric reasoning

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

Classify triangles according to their side and angle properties and describe quadrilaterals (ACMMG165)

Elaborations
  • identifying side and angle properties of scalene, isosceles, right-angled and obtuse-angled triangles
  • describing squares, rectangles, rhombuses, parallelograms, kites and trapeziums
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
ScOT terms

Angles,  Triangles (Shapes),  Sides (Polygons)

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5 direct matches to ACMMG165 | 15 other related resources
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interactive activities that guide students to explore the interior and exterior angle sums of polygons.

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What is the difference between equilateral, isosceles and scalene triangles? See if you can find and classify triangles based on the definitions given in this maths video.

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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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Shapes and objects: Year 7 – planning tool

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This planning resource for Year 7 is for the topic of Shapes and objects. Students build on their knowledge of two-dimensional shapes. They classify triangles according to their side length (scalene, isosceles, equilateral) and their angle properties (right, acute, obtuse). Students identify and describe different quadrilaterals ...

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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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Are plants mathematicians?

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

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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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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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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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Tessellating tiles

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In this teaching resource students learn how to construct shapes that will tessellate (or tile) a plane area. Starting with a regular shape known to tessellate (square, equilateral triangle, hexagon), students apply geometrical transformations to the sides of the shape to create new shapes that tessellate. There are links ...

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Online

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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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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Numeracy wrap: Tell me why

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Interactive activities that guide students to consider the use and presentation of geometric reasoning.

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

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Numeracy wrap: Race across transversals

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

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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

Area of a parallelogram

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This is a Geogebra activity used to teach the area of a parallelogram. Suitable for use with an interactive whiteboard (IWB).

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