HSCScience
Home/Mathematics/Year 9/Unit 4
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

Ready to start?

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

Start Lesson 1 →