## 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