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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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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Types of triangles

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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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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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Online

Shapes and objects: Year 7 – planning tool

  • TLF-IDA003273

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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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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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

Geometric reasoning including parallel lines and angle sum of a triangle

  • TLF-IDM014342

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

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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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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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: Race across transversals

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

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

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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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Online

TIMES Module 10: Measurement and Geometry: introduction to measurement - teacher guide

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This is a 16-page guide for teachers. It provides an introduction to the initial ideas of measurement, and introduces the measurement of length, area, volume and time.

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Interactive

Numeracy wrap: Parallelogram peculiarities

  • TLF-IDM016264

Interactive activities that guide students to investigate properties of parallelograms.

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Video

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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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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