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

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Year level 5-6
Resource type
Learning area Mathematics
Interactive resource

Exploring relationships of angles

Explore angles formed by a transversal line intersecting parallel lines. Look at illustrations showing pairs of angles: vertically opposite, corresponding and alternate angles. Name pairs of angles to score points and help a monkey drive to the supermarket to buy food.

Teacher resource

Measuring angles

Use these resources to develop your students' skills in measuring and constructing different angles, classifying angles in relation to a right angle and understanding of properties of angles. Students apply their understanding of how to use a protractor through fun and familiar contexts.

Teacher resource

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 ...

Interactive Resource

Free protractor

This iPad app is a digital 180-degree protractor. Angles can read from the right or left of the perpendicular, and acute and obtuse angles are shown in different colours. Angles can be set by moving the pointer or using the keyboard to enter the required degree of angle. The angle can also be locked when taking readings.

Moving Image

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!

Teacher resource

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, ...