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Mathematics · Year 9 · Unit 4

Measurement, Geometry & Data

This 20-lesson unit explores trigonometry, measurement, geometry, statistics and probability. You will master right-angled triangle trigonometry, calculate area and volume, prove similarity and congruence, analyse data, and solve probability problems.

20lessons
5assessments
8-12hstudy
Start Lesson 1 →
Block A, Trigonometry
1
Introduction to Trigonometry
Right-angled triangles, opposite, adjacent, hypotenuse
2
Trigonometric Ratios
SOH CAH TOA, Pythagorean identity, complementary angles
3
Solving Right-Angled Triangles
Choosing ratios, inverse trig, checking answers
4
Angles of Elevation and Depression
Real-world applications, drawing diagrams
5
Area of Prisms and Cylinders
Surface area, nets, lateral area
Q1
Checkpoint 1, Trigonometry
Covers Lessons 1–5
Block B, Measurement & Geometry
6
Volume of Prisms and Cylinders
Volume formulas, composite solids, unit conversions
7
Composite Solids
Decomposition, hidden faces, surface area
8
Similarity and Scale Factors
Area and volume scale factors, maps and models
9
Congruence and Similarity Tests
SSS, SAS, ASA, RHS, formal proofs
10
Data Collection and Sampling
Population, sample, bias, survey design
Q2
Checkpoint 2, Measurement & Geometry
Covers Lessons 6–10
Block C, Data & Probability
11
Measures of Centre and Spread
Mean, median, mode, range, IQR, outliers
12
Box Plots and Data Visualisation
Box plots, histograms, stem-and-leaf plots
13
Introduction to Probability
Sample space, events, complements, basic probability
14
Two-Stage Events and Tree Diagrams
With/without replacement, multiplication rule
15
Venn Diagrams and Set Notation
Unions, intersections, addition rule
Q3
Checkpoint 3, Data & Probability
Covers Lessons 11–15
Block D, Review & Synthesis
16
Experimental and Theoretical Probability
Law of large numbers, relative frequency
17
Trigonometry Review and Applications
Mixed trig problems, elevation and depression
18
Measurement and Geometry Review
Area, volume, similarity, congruence recap
19
Data and Probability Review
Statistics, probability rules, bias evaluation
20
Unit 4 Synthesis and Problem Solving
Integrated capstone problems
Q4
Checkpoint 4, Probability & 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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