Skip to content

Angles in the Australian Curriculum

Recognising, measuring and reasoning with angles. 15 content descriptions from Version 9.0, by year level.

Year 3

  • AC9M3M05

    identify angles as measures of turn and compare angles with right angles in everyday situations

    Measurement

    Plan this

All Year 3 Mathematics

Year 4

  • AC9M4M04

    estimate and compare angles using angle names including acute, obtuse, straight angle, reflex and revolution, and recognise their relationship to a right angle

    Measurement

    Plan this

All Year 4 Mathematics

Year 5

  • AC9M5M04

    estimate, construct and measure angles in degrees, using appropriate tools including a protractor, and relate these measures to angle names

    Measurement

    Plan this

All Year 5 Mathematics

Year 6

  • AC9M6M02

    establish the formula for the area of a rectangle and use it to solve practical problems

    Measurement

    Plan this
  • AC9M6M04

    identify the relationships between angles on a straight line, angles at a point and vertically opposite angles; use these to determine unknown angles, communicating reasoning

    Measurement

    Plan this

All Year 6 Mathematics

Year 7

  • AC9M7M01

    solve problems involving the area of triangles and parallelograms using established formulas and appropriate units

    Measurement

    Plan this
  • AC9M7M04

    identify corresponding, alternate and co-interior relationships between angles formed when parallel lines are crossed by a transversal; use them to solve problems and explain reasons

    Measurement

    Plan this
  • AC9M7M05

    demonstrate that the interior angle sum of a triangle in the plane is 180° and apply this to determine the interior angle sum of other shapes and the size of unknown angles

    Measurement

    Plan this
  • AC9M7SP02

    classify triangles, quadrilaterals and other polygons according to their side and angle properties; identify and reason about relationships

    Space

    Plan this

All Year 7 Mathematics

Year 8

  • AC9M8M06

    use Pythagoras’ theorem to solve problems involving the side lengths of right-angled triangles

    Measurement

    Plan this
  • AC9M8SP01

    identify the conditions for congruence and similarity of triangles and explain the conditions for other sets of common shapes to be congruent or similar, including those formed by transformations

    Space

    Plan this
  • AC9M8SP02

    establish properties of quadrilaterals using congruent triangles and angle properties, and solve related problems explaining reasoning

    Space

    Plan this

All Year 8 Mathematics

Year 9

  • AC9M9M03

    solve spatial problems, applying angle properties, scale, similarity, Pythagoras’ theorem and trigonometry in right-angled triangles

    Measurement

    Plan this
  • AC9M9SP01

    recognise the constancy of the sine, cosine and tangent ratios for a given angle in right-angled triangles using properties of similarity

    Space

    Plan this

All Year 9 Mathematics

Year 10

  • AC9M10M03

    solve practical problems applying Pythagoras’ theorem and trigonometry of right-angled triangles, including problems involving direction and angles of elevation and depression

    Measurement

    Plan this

All Year 10 Mathematics

Questions teachers ask

Where does angles appear in the Australian Curriculum?
15 Mathematics content descriptions from Year 3 to Year 10 mention angles. They are listed here by year with their codes.
Can Heapso make angles worksheets?
Yes. Choose "Plan this" next to a content description for a lesson set to that year, or make a worksheet at three levels so every student can practise the same skill.

Other maths topics

Make a angles worksheet

One worksheet at three levels, so every student practises the same skill at the right challenge. Free to start.

Make a worksheet free

© Australian Curriculum, Assessment and Reporting Authority (ACARA) 2010 to present, unless otherwise indicated. This material was downloaded from the Australian Curriculum website (accessed 18 October 2026) and was not modified. The material is licensed under CC BY 4.0.

Licence: CC BY 4.0. ACARA's terms of use. Heapso isn't affiliated with ACARA, and ACARA doesn't endorse Heapso or any product that uses the Australian Curriculum.

The Australian Curriculum website