Properties of geometrical figures
Mathematics K–10 (2022) · Stage 4 · View this focus area on the NESA NSW Curriculum website ↗
Outcomes
MA4-GEO-C-01 identifies and applies the properties of triangles and quadrilaterals to solve problemsContent dot points
Each dot point has its own page with resources matched to it.
Classify triangles according to their side and angle properties
- Label triangles using appropriate text and symbols
- Classify and describe types of triangles based on their properties, including acute-angled, right-angled, obtuse-angled, equilateral, isosceles and scalene triangles 6 resources · 2 interactive/game
Classify quadrilaterals and describe their properties
- Identify quadrilaterals using naming conventions
- Distinguish between convex and non-convex quadrilaterals
- Verify and describe the properties of the special quadrilaterals which include parallelograms, rectangles, rhombuses, squares, trapeziums and kites 9 resources · 3 interactive/game
- Identify and label the properties of the special quadrilaterals using appropriate conventions
- Classify quadrilaterals based on their properties 7 resources · 2 interactive/game
- Justify why some quadrilaterals may be classified as more than one type of quadrilateral 1 resource · 1 interactive/game
Apply the properties of triangles and quadrilaterals
- Prove that the interior angle sum of a triangle is 180° with or without digital tools 7 resources · 2 interactive/game
- Prove that any exterior angle of a triangle equals the sum of the 2 interior opposite angles 2 resources
- Apply the angle sum of a triangle to prove that the angle sum of a quadrilateral is 360° 4 resources
- Apply the properties of triangles and quadrilaterals to determine unknown sides and angles to solve problems, giving reasons 3 resources · 1 interactive/game
Focus area resources
- Unit/PlanningStage 4 Unit 11 – geometrical relationships (sample unit of learning)
- Unit/PlanningStage 4 Unit 6 – triangles and quadrilaterals (sample unit of learning)
Stage 4 planning resources
Stage- or course-wide documents (scope and sequences, guides) that cover this focus area alongside others.
- Unit/PlanningSample scope and sequence: Stage 4 core (NESA no. 11)
- Unit/PlanningStage 4 – sample scope and sequence
- Unit/PlanningStage 4 – stage based – sample scope and sequence