Mathematics>Year 9>Unit 3

Pythagoras & Trigonometry

Apply Pythagoras and trigonometry to right-angled triangles, find unknown sides and angles, and solve problems involving angles of elevation, depression and bearings.

20 Lessons4 Checkpoints1 Unit QuizStage 5 Core
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Syllabus Outcomes

MA5-TRG-C-01

Applies trigonometry to solve problems, including bearings and angles of elevation and depression.

Block A, Pythagoras' Theorem
01

Pythagoras' Theorem Review

 02

Finding the Hypotenuse

 03

Finding a Shorter Side

 04

Pythagoras in Practical Problems

 05

Sides of a Right-Angled Triangle

Checkpoint 1, Pythagoras' Theorem

Covers Lessons 1–5
Block B, Trig Ratios, Finding Sides
06

Introducing Trigonometric Ratios

 07

Sine Ratio, Finding a Side

 08

Cosine Ratio, Finding a Side

 09

Tangent Ratio, Finding a Side

 10

Mixed, Finding Sides with Any Ratio

Checkpoint 2, Trig Ratios, Finding Sides

Covers Lessons 6–10
Block C, Finding Angles & Elevation / Depression
11

Finding Angles with Inverse Trig

 12

Finding Angles, Mixed Practice

 13

Angles of Elevation

 14

Angles of Depression

 15

Combined Elevation and Depression

Checkpoint 3, Finding Angles & Elevation / Depression

Covers Lessons 11–15
Block D, Bearings & Synthesis
16

Compass Bearings

 17

True Bearings

 18

Solving Bearing Problems

 19

Multi-Step Trigonometry Problems

 20

Trigonometry Synthesis and Review

Checkpoint 4, Bearings & Synthesis

Covers Lessons 16–20

Unit Quiz

Full unit assessment