Right-angled triangles (Pythagoras’ theorem)
Mathematics K–10 (2022) · Stage 4 · View this focus area on the NESA NSW Curriculum website ↗
Outcomes
MA4-PYT-C-01 applies Pythagoras’ theorem to solve problems in various contextsContent dot points
Each dot point has its own page with resources matched to it.
Identify and define Pythagoras’ theorem
- Identify and describe the hypotenuse as the side opposite the right angle and the longest side in any right-angled triangle 1 resource · 1 interactive/game
- Establish the relationship between the lengths of the sides of a right-angled triangle 3 resources · 2 interactive/game
- Use the relationship to record and define Pythagoras’ theorem both algebraically and in words 2 resources · 2 interactive/game
Examine problems involving Pythagoras’ theorem
- Apply Pythagoras’ theorem to find the unknown length of a side in a right-angled triangle, giving answers in an exact form or as decimal approximations 5 resources · 2 interactive/game
- Apply the converse of Pythagoras’ theorem to establish whether a triangle is right angled 3 resources
- Solve practical problems involving Pythagoras’ theorem before exploring a variety of related problems 4 resources
- Justify whether a set of 3 integers is a Pythagorean triad
Focus area resources
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