Unit 3: Trigonometry and Geometry

Right-angled and non-right-angled trigonometry, congruence, similarity, geometric reasoning and circle geometry. Aligned to the NSW K-10 Mathematics syllabus (Stage 5).

Lessons

Lesson 1
Trigonometric Ratios
Lesson 2
Finding Unknown Sides
Lesson 3
Finding Unknown Angles
Lesson 4
Applications of Trigonometry
Lesson 5
Angles of Elevation and Depression
Lesson 6
Compass Bearings
Lesson 7
Mixed Right-angled Problems
Lesson 8
Congruence of Triangles
Lesson 9
Parallel Lines and Transversals
Lesson 10
Congruence, Tests and Proofs
Lesson 11
Similarity and Scale Factors
Lesson 12
Similar Triangles, Tests and Applications
Lesson 13
Area and Volume Ratios
Lesson 14
Mixed Geometry Problems
Lesson 15
Sine Rule
Lesson 16
Cosine Rule
Lesson 17
Area of a Triangle
Lesson 18
Mixed Non-right-angled Problems
Lesson 19
Circle Geometry Theorems
Lesson 20
Trigonometry and Geometry Review

Checkpoints

Checkpoint 1
Right-angled Trigonometry (L1-L7)
Checkpoint 2
Geometry (L8-L14)
Checkpoint 3
Non-right-angled Trigonometry (L15-L20)

🏆 Unit Quiz

Comprehensive assessment covering all 20 lessons. 15 MCQs + 3 Short Answer questions.