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Mathematics / Year 6 / Measurement and Geometry / Geometric reasoning

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

Investigate, with and without digital technologies, angles on a straight line, angles at a point and vertically opposite angles. Use results to find unknown angles (ACMMG141)

  • identifying the size of a right angle as 90° and defining acute, obtuse, straight and reflex angles
  • measuring, estimating and comparing angles in degrees and classifying angles according to their sizes
  • investigating the use of rotation and symmetry in the diagrammatic representations of kinship relationships of Central and Western Desert people
  • recognising and using the two alternate conventions for naming angles
General capabilities
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
  • ICT capability Information and Communication Technology (ICT) capability
ScOT terms

Co-interior angles,  Corresponding angles,  Vertically opposite angles


The amazing 'angle-a-tron'

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!


reSolve: Spatial Reasoning - Right Angles

In this sequence of two lessons, students create and identify right angles. In the first lesson, students use popsicle sticks to create right angles and investigate how many right angles can be created for a given number of sticks. Students then go on to create eight sided polygons with different combinations of internal ...


reSolve: Authentic Problems: Pyramids in a Box

This sequence of four lessons focuses on working with solids and their nets. The lessons provide opportunities for students to work flexibly as they construct simple prisms and pyramids from nets they have created. Students record their mathematical thinking as they work through iterations to refine a box that has the least ...


Primary mathematics: games, simulations and modelling

These seven learning activities, which focus on 'games, simulations and modelling' 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 games, ...


Geometric reasoning including parallel lines and angle sum of a triangle

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 ...


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

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.


TIMES Module 20: Measurement and Geometry: parallelograms and rectangles - teacher guide

This is a 17-page guide for teachers. It contains the definitions, properties and tests for parallelograms and rectangles. Proofs of the properties and tests are given. Constructions for parallelograms and rectangles are given.


Why are coral reefs important?

Coral reefs contain a high biodiversity of marine life and they're vital natural assets for coastal communities and cultures. In this clip you will hear from a panel of scientific and community experts as they discuss the importance of coral reefs to billions of people around the world. Discover some perspectives on the ...


Threats to coral reefs: what are they?

Coral reefs are in trouble. Though important ecologically and vital for local communities, they're facing a range of serious threats. Listen to a panel of scientific and community experts discussing the human and natural factors that stress coral reefs around the world. Find out the recipe for how to kill a reef. Then learn ...


Nets of three-dimensional solids

This is a five-page HTML resource about solving problems with nets of three-dimensional solids. It contains one video and three questions, two of which are interactive. The resource discusses and explains solving problems with nets of three-dimensional solids to reinforce students' understanding.


Face painter: finding faces 1

Identify polygons on a range of prisms and polyhedra such as a cube, square pyramid or triangular prism. Picture in your head all sides of a solid. Estimate how many faces the object has. Rotate it to see all of its faces. Paint each face of a given shape such as a triangle or rectangle.


Numeracy wrap: Tell me why

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


Angle Types

An animated tutorial about types of angles followed by an interactive quiz.


The geometer's warehouse

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.


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

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


Finding Angles From Ratios

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