Angles

Australian National Curriculum Learning Map

  • Identify angles as measures of turn and compare angle sizes in everyday situations
  • Compare angles and classify them as equal to, greater than or less than a right angle
  • Estimate, measure and compare angles using degrees.
  • Construct angles using a protractor 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
  • Identify corresponding, alternate and cointerior angles when two straight lines are crossed by a transversal
  • Investigate conditions for two lines to be parallel and solve simple numerical problems using reasoning
  • Classify triangles according to their side and angle properties and describe quadrilaterals
  • Demonstrate that the angle sum of a triangle is 180° and use this to find the angle sum of a quadrilateral
  • Define congruence of plane shapes using transformations
  • Develop the conditions for congruence of triangles
  • Establish properties of quadrilaterals using congruent triangles and angle properties, and solve related numerical problems using reasoning
  • Use the enlargement transformation to explain similarity and develop the conditions for triangles to be similar
  • Solve problems using ratio and scale factors in similar figures
  • Formulate proofs involving congruent triangles and angle properties
  • Apply logical reasoning, including the use of congruence and similarity, to proofs and numerical exercises involving plane shapes
  • Prove and apply angle and chord properties of circles