Year 11, 3 UNITS MATHS – EXTENSION 1
Term 1
Week 1 — Functions and their Properties I
Week 2 — Functions and their Properties II
Week 3 — Eleven Special Functions and Application to Daily Life
Week 4 — Graphical Relationships I
Week 5 — Graphical Relationships II
Week 6 — Absolute Values and Absolute Inequalities
Week 7 — Parametric Equations of Functions and Inverse Functions
Week 8 — Review and Consolidation
Week 9 — Polynomials I – Remainder Theorem and Factor Theorem
Week 10 — Polynomials II – Zeros, Roots, Factors, and Solving Polynomial Equations
Term 2
Week 1 — Polynomials III – Multiplicity and Multiple Roots
Week 2 — Polynomials IV – Rational Functions and Rational Inequalities
Week 3 — Trigonometric Functions
Week 4 — Further Trigonometry I
Week 5 — Review and Consolidation
Week 6 — Further Trigonometry II
Week 7 — Further Trigonometry III
Week 8 — Differentiation of Trigonometric Functions
Week 9 — Inverse Trigonometric Functions I
Week 10 — Inverse Trigonometric Functions II
Term 3
Week 1 — Rates of Change I: Average & Instantaneous Rate of Change
Week 2 — Rates of Change II: Simple Application of Rates of Change
Week 3 — Exponential & Logarithmic Functions I
Week 4 — Exponential & Logarithmic Functions II
Week 5 — Review and Consolidation
Week 6 — Exponential Growth & Decay I
Week 7 — Exponential Growth & Decay II
Week 8 — Kinematic
Week 9 — Related Rates of Change
Week 10 — Combinatorics I: Principles of Counting & Simple Permutation
Term 4 (Year 12 EXTENSION 1)
Week 1 — Combinatorics II: Restricted permutation & permutation with repetition
Week 2 — Combinatorics III: Application of counting & permutation
Week 3 — Combinatorics IV: Simple combinations & suing combination
Week 4 — Solving Practical Probability involving Permutation & Combination
Week 5 — Review and Consolidation
Week 6 — Pascal’s Triangle & Binomial Expansion
Week 7 — Properties of Binomial Expressions
Week 8 — Derive & Use of Combinatorial Identities I
Week 9 — Derive & Use of Combinatorial Identities I
Week 10 — Proof by Mathematical Induction
Term 4 (Year 12 EXTENSION 2)
Week 1 — Mathematical Logic Formal Language I
Week 1 — Mathematical Logic Formal Language II
Week 1 — Methods of Proof
Week 1 — Inequalities (I): Prove Inequalities by Using Properties
Week 1 — Review and Consolidation
Week 1 — Inequalities (II): Further Inequalities
Week 1 — Geometric and Absolute Inequalities
Week 1 — Further Proof by Mathematical Induction (I)
Week 1 — Further Proof by Mathematical Induction (II)
Week 1 — Operations on 3-D Vectors (I)
