Year 11, 2 UNITS MATHS – ADVANCED
Term 1
Week 1 — Algebraic Technique (I) – Surds and Indices
Week 2 — Algebraic Technique (II) – Factorisation of Algebraic Expressions
Week 3 — Algebraic Technique (III) – Rational Expressions of Algebraic Fractions
Week 4 — Sets, Relations and Functions
Week 5 — Functions and Graphs
Week 6 — Building Functions from Functions
Week 7 — Graphical Transformations
Week 8 — Review and Consolidation
Week 9 — Linear Models
Week 10 — Linear Inequalities
Term 2
Week 1 — Quadratic Models
Week 2 — Quadratic Functions
Week 3 — Solving Simultaneous Linear and Quadratic Functions
Week 4 — Rational Functions and Equation of Circles
Week 5 — Review and Consolidation
Week 6 — Polynomial Functions
Week 7 — Trigonometry (I) – General Angles and Radian Measure
Week 8 — Trigonometry (II) – Solving Triangles
Week 9 — Trigonometry (III) – Arc Length, Area of Sectors and Applications of Trigonometry on 2D and 3D Problems
Week 10 — Trigonometric Functions (I) – Trigonometric Graphs
Term 3
Week 1 — Trigonometric Function II: Trigonometric Identities and Solve Simple Trig. Eqn.
Week 2 — Trigonometric Function III: Simplifying Trig. Expressions & Solving Trig. Eqn.
Week 3 — Differentiation I: Limits and Continuity of a Function
Week 4 — Differentiation II: First Principles
Week 5 — Review and Consolidation
Week 6 — Differentiation III: The Chain Rule
Week 7 — Application of Differentiation I: Tangents and Normals
Week 8 — Application of Differentiation II: Velocity and Acceleration
Week 9 — Exponential & Logarithmic Functions I
Week 10 — Exponential & Logarithmic Functions II
Term 4 (Year 12 Headstart)
Week 1 — Exponential & Logarithmic Functions III: Calculus of Exp. & Log. Functions
Week 2 — Probability I: Theoretical Probability & Laws of Probability
Week 3 — Probability II: Sets and Venn Diagrams
Week 4 — Probability III: Conditional Probability & Independent Events
Week 5 — Review and Consolidation
Week 6 — Probability IV: Discrete Random Variables
Week 7 — Probability V: Multiple-stage events and Two-way tables
Week 8 — Mean & Variance I: Expectation & Properties of the Expectation
Week 9 — Mean & Variance II: Variance & Properties of Variance
Week 10 — Mean & Variance III: Application of Expectation & Variance, population parameters & sample statistics
