Unit 3 · Semester 1
15 weeks · 3 syllabus topics · 4 assessment tasks
Part A live
3.1.1 – 3.1.16 · Weeks 1–5
Module 3.1 · Further Differentiation & Applications
Exponentials & e, trig derivatives, product/quotient/chain rules, optimisation, graph sketching.
- Wk 1–2 Exponential function and e · Trigonometric derivatives (Part A live)
- Wk 3 Product, quotient, and chain rules (Part A live)
- Wk 4–5 Second derivative, optimisation, curve sketching Task 1 · Wk 5
Planned
3.2.1 – 3.2.22 · Weeks 6–10
Module 3.2 · Integrals
Anti-differentiation, definite integrals, the Fundamental Theorem, applications to motion and area.
- Wk 6 Anti-differentiation: notation, formulas, linearity
- Wk 7–8 Definite integrals · Fundamental Theorem Task 2 · Wk 8
- Wk 9–10 Applications: rates, area, motion
Planned
3.3.1 – 3.3.16 · Weeks 11–14
Module 3.3 · Discrete Random Variables
General discrete RVs, Bernoulli, Binomial — parameters, expectation, variance, modelling.
- Wk 11–12 General discrete RVs and probability functions
- Wk 13 Bernoulli distributions
- Wk 14 Binomial distributions Task 3 · Wk 14
- Wk 15 Semester 1 examination Task 4
Unit 4 · Semester 2
15 weeks · 3 syllabus topics · 4 assessment tasks
Planned
4.1.1 – 4.1.14 · Weeks 1–5
Module 4.1 · The Logarithmic Function
Define logarithms, log laws and graphs, calculus of natural log, applications and log scales.
- Wk 1–2 Define logs, properties, equations, log scales Task 5 · Wk 2
- Wk 3–5 Calculus of the natural logarithm and inverse with e
Planned
4.2.1 – 4.2.7 · Weeks 6–9
Module 4.2 · Continuous RVs & Normal Distribution
PDFs and percentiles, the normal distribution, modelling with normal random variables.
- Wk 6–7 General continuous RVs · parameters · probabilities Task 6 · Wk 7
- Wk 8–9 Normal distribution · features & problems
Planned
4.3.1 – 4.3.10 · Weeks 10–14
Module 4.3 · Interval Estimates for Proportions
Random sampling, distribution of sample proportions, confidence intervals and margin of error.
- Wk 10 Randomness and bias · simulation
- Wk 11–12 Distribution of p̂ · normal approximation
- Wk 13–14 Confidence intervals · margins of error Task 7 · Wk 14
- Wk 15 Semester 2 examination Task 8
Past Paper Revision
Atomised practice for every released past paper. Use after teaching the syllabus topic.
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Topics · Year 9 → ATAR Methods
Each topic fully atomised from Y9 entry to exam-level capstones drawn from real ATAR papers.
Year 11 Foundations · Methods Units 1 & 2
Year 11 ATAR Methods topics, atomised from Year 8 entry to Year 11 exam level. Built for Year 9 students preparing for Methods.