01 / QUICK RECAP
Connect the ideas.
- Mark the right angle and identify which side is the hypotenuse before using Pythagoras.
- Elevation and depression begin at the horizontal; bearings begin clockwise from north.
- Use a shared length to link triangles, and distinguish the final height from a drop or total.
- For the sine rule, pair each side with its opposite angle and check the supplementary angle.
- Use the cosine rule for SAS or SSS, and the sine area rule only with the included angle.
- Use special triangles and the unit circle for exact values and quadrant signs.
- For trigonometric graphs, label axes and key points; amplitude is positive and period uses division.
- Find every solution in the stated interval, including required endpoints.
- Retain exact or full-precision values until the final rounding step; include units and state assumptions.
02 / PRACTICE TESTS
Put it together.
Choose a paper and show your working.
Pythagoras and Trigonometry — Practice test 1
A balanced paper moving from right triangles to non-right triangles, exact values, graphs and applications.
16 questions · 50 marks · 60 minutes · Scientific calculatorPythagoras and Trigonometry — Practice test 2
A second balanced paper emphasising interpretation, method selection, bearings and trigonometric representations.
16 questions · 48 marks · 60 minutes · Scientific calculatorPythagoras and Trigonometry — Applications test
A more demanding paper combining surveying, design, shadows, bearings, periodic models and checks on assumptions.
16 questions · 58 marks · 60 minutes · Scientific calculator
Curriculum reference & lesson scope
Australian Curriculum v9 and South Australian school course scope
Right-triangle applications include AC9M10M03. The approved chapter also develops non-right-triangle methods, exact values and trigonometric functions within one normal Year 10 course.
Official curriculum source ↗