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 — Combinatorics I: Counting & Permutations
Week 9 — Combinatorics II: Permutations & Combinations
Week 10 — Combinatorics III: Application of Permutations and Combinations
Term 3
Week 1 — More on Permutations and Combinations
Week 2 — Binomial Theorem I
Week 3 — Binomial Theorem II
Week 4 — Proof by Mathematical Induction
Week 5 — Review and Consolidation
Week 6 — Differentiation of Trigonometric Functions
Week 7 — Inverse Trigonometric Functions I
Week 8 — Inverse Trigonometric Functions II
Week 9 — Integration (I): Method of Substitution
Week 10 — Integration (II): Substitution and Other Techniques
Term 4 (Year 12 EXTENSION 1)
Week 1 — Integration (II): Trigonometric Identities
Week 2 — Derivatives of Inverse Functions Including Inverse Trigonometric Functions
Week 3 — Integration Involving Inverse Trigonometric Functions
Week 4 — Volumes of Solids of Revolution
Week 5 — Review and Consolidation
Week 6 — Vectors in Two Dimensions I
Week 7 — Vectors in Two Dimensions II
Week 8 — Vectors in Two Dimensions III: Scalar Product
Week 9 — Rates of Change I: Average & Instantaneous Rate of Change
Week 10 — Rates of Change II: Simple Application of Rates of Change
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)
