Trigonometry C (Path)
Mathematics K–10 (2022) · Stage 5 · View this focus area on the NESA NSW Curriculum website ↗
Outcomes
MA5-TRG-P-01 applies Pythagoras’ theorem and trigonometry to solve 3-dimensional problems and applies the sine, cosine and area rules to solve 2-dimensional problems, including bearings (Path: Stn, Adv)Content dot points
Each dot point has its own page with resources matched to it.
Solve 3-dimensional problems involving right-angled triangles
- Apply Pythagoras’ theorem to solve problems involving the lengths of the edges and diagonals of rectangular prisms and other 3-dimensional objects 3 resources · 1 interactive/game
- Apply trigonometry to solve problems involving right-angled triangles in 3 dimensions, including using bearings and angles of elevation and depression 2 resources
Apply the sine, cosine and area rules to any triangle and solve related problems
- Use graphing applications to verify the sine rule a/sinA = b/sinB = c/sinC and that the ratios of a side to the sine of the opposite angle is a constant 3 resources · 3 interactive/game
- Apply the sine rule in a given triangle ABC to find the value of an unknown side 3 resources · 1 interactive/game
- Apply the sine rule in a given triangle ABC to find the value of an unknown angle (ambiguous case excluded): sinA/a = sinB/b = sinC/c 3 resources · 1 interactive/game
- Use graphing applications to verify the cosine rule c² = a² + b² - 2abcosC. 3 resources · 3 interactive/game
- Apply the cosine rule to find the unknown sides for a given triangle ABC. 3 resources · 1 interactive/game
- Rearrange the formula to deduce that cosC = (a² + b² - c²)/(2ab) and use this to find an unknown angle 3 resources · 1 interactive/game
- Use graphing applications to verify the area rule A = 1/2absinC. 2 resources · 2 interactive/game
- Apply the formula A = 1/2absinC, where a and b are the sides that form angle C to find the area of a given triangle ABC 5 resources · 1 interactive/game
- Solve problems involving finding unknown angles or sides in triangles (excluding right-angled triangles) by selecting and applying the appropriate rule 1 resource · 1 interactive/game
Focus area resources
- Unit/PlanningStage 5 Unit 9 – surveying (sample unit of learning)
Stage 5 planning resources
Stage- or course-wide documents (scope and sequences, guides) that cover this focus area alongside others.
- Unit/PlanningSample scope and sequence: Stage 5 core and selected paths (NESA no. 03)
- Unit/PlanningSample scope and sequence: Stages 4–5 core and selected paths (NESA no. 04)
- Unit/PlanningSample scope and sequence: Stage 5 core and all paths (NESA no. 05)
- Unit/PlanningSample scope and sequence: Stage 5 core (NESA no. 02)
- Unit/PlanningSample scope and sequence: Stage 5 core and selected paths (NESA no. 06)
- Unit/PlanningSample scope and sequence: Stage 5 core and selected paths (NESA no. 01)
- Unit/PlanningSample scope and sequence: Stages 4–5 stage based (NESA no. 08)
- Unit/PlanningStage 5 – sample scope and sequence
- Unit/PlanningStage 5 – stage based – sample scope and sequence