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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.

20lessons
5assessments
8-12hstudy
Start Lesson 1 →
Block A, Pythagoras' Theorem
1
Pythagoras' Theorem Review
2
Finding the Hypotenuse
3
Finding a Shorter Side
4
Pythagoras in Practical Problems
5
Sides of a Right-Angled Triangle
Q1
Checkpoint 1, Pythagoras' Theorem
Covers Lessons 1–5
Block B, Trig Ratios, Finding Sides
6
Introducing Trigonometric Ratios
7
Sine Ratio, Finding a Side
8
Cosine Ratio, Finding a Side
9
Tangent Ratio, Finding a Side
10
Mixed, Finding Sides with Any Ratio
Q2
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
Q3
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
Q4
Checkpoint 4, Bearings & Synthesis
Covers Lessons 16–20
QZ
Unit Quiz
Full unit assessment

Unit Snapshot

20lessons
4checkpoints
1unit quiz
4topics

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Work through the lessons in order, each one builds on the last.

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