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.