VCE Mathematical Methods (Year 11)

VCE Mathematical Methods (Year 11) on VCE Vault: 18 lessons written for Year 11 (VCE, Victorian Certificate of Education), each with worked examples, practice questions and Aari, an AI tutor. The first 4 lessons are free; the whole subject is a one-off A$12.99.

VCE Mathematical Methods (Year 11) study notes: 79 pages covering 18 topics (PDF, A$9.99).

Lessons

Unit 1 — Algebra & Structure

• Linear Relations and Equations (free) — Solve linear equations and model with linear functions.
• Index Laws and Exponential Expressions (free) — Manipulate indices and surds fluently.
• Simultaneous Equations and Systems — Solve systems of linear and non-linear equations.

Unit 1 — Functions & Graphs

• Quadratic Functions and Graphs (free) — Graph and solve quadratic functions in different forms.

Unit 2 — Functions & Graphs

• Polynomial Functions — Cubics and Quartics (free) — Sketch polynomial functions and apply the factor theorem.
• Power and Reciprocal Functions — Graph power functions y = x^n and reciprocal functions y = k/x.
• Inverse Functions and Function Notation — Use function notation, find inverses, and test whether a relation is a function.
• Transformations of Graphs — Apply dilations, translations, and reflections to graphs.

Unit 2 — Circular Functions

• Circular Functions — Radians and the Unit Circle — Use radians and the unit circle to evaluate trigonometric ratios.
• Graphs of sin, cos, tan — Transformations — Graph trigonometric functions and apply transformations.

Unit 2 — Exponentials & Logs

• Exponential Functions and Growth/Decay — Graph exponential functions and model growth/decay.
• Logarithms — Laws and Equations — Apply log laws and solve exponential equations with logs.

Unit 2 — Counting & Probability

• Combinatorics and Counting — Count arrangements, permutations, and combinations.
• Discrete Probability Distributions — Analyse discrete random variables and compute expected value.

Unit 1 — Rates of Change

• Rates of Change — Average and Instantaneous — Calculate average rates of change and estimate instantaneous rates of change using gradients of secants and tangents.
• Differentiation Rules, Tangents and Stationary Points — Differentiate polynomials using the power rule, find equations of tangents, and locate and classify stationary points.
• Anti-differentiation — Reversing the Derivative — Find anti-derivatives of polynomial and power functions and use a known point to find the constant of integration.

Exam Technique

• Exam Technique — Methods Units 1-2 — Plan, pace, and present Methods answers for SACs and exams.