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.
Applies trigonometry to solve problems involving right-angled triangles.
Calculates areas of composite shapes and surface areas and volumes of prisms and cylinders.
Uses similarity and congruence to solve problems and prove geometric relationships.
Collects, represents and interprets data using appropriate displays and measures.
Calculates probabilities of simple and compound events.
Right-angled triangles, opposite, adjacent, hypotenuse
02SOH CAH TOA, Pythagorean identity, complementary angles
03Choosing ratios, inverse trig, checking answers
04Real-world applications, drawing diagrams
05Surface area, nets, lateral area
Covers Lessons 1–5
Volume formulas, composite solids, unit conversions
07Decomposition, hidden faces, surface area
08Area and volume scale factors, maps and models
09SSS, SAS, ASA, RHS, formal proofs
10Population, sample, bias, survey design
Covers Lessons 6–10
Mean, median, mode, range, IQR, outliers
12Box plots, histograms, stem-and-leaf plots
13Sample space, events, complements, basic probability
14With/without replacement, multiplication rule
15Unions, intersections, addition rule
Covers Lessons 11–15
Law of large numbers, relative frequency
17Mixed trig problems, elevation and depression
18Area, volume, similarity, congruence recap
19Statistics, probability rules, bias evaluation
20Integrated capstone problems
Covers Lessons 16–20
Full unit assessment