11–12Mathematics Extension 2 11–12 Syllabus
The new Mathematics Extension 2 11–12 Syllabus (2024) is to be implemented from 2026.
2025
- Plan and prepare to teach the new syllabus
2026, Term 4
- Start teaching new syllabus for Year 12
- Start implementing new Year 12 school-based assessment requirements
2027
- First HSC examination for new syllabus
Content
Year 12
- MAO-WM-01
develops understanding and fluency in mathematics through exploring and connecting mathematical concepts, choosing and applying mathematical techniques to solve problems, and communicating their thinking and reasoning coherently and clearly
- ME2-12-01
selects and applies the language, notation and methods of proof to prove results
Use the formal language of proof, including the terms ‘statement’, ‘proposition’, ‘implication’, ‘converse’, ‘negation’, ‘contradiction’, ‘counterexample’, ‘equivalence’ and ‘contrapositive’
Define a statement or proposition as a sentence that is either true or false, but not both
Recognise that the converse of a true implication may or may not be true
Use proof by contradiction to prove the truth of mathematical statements
Use examples and counterexamples to test the truth of mathematical statements
Prove results involving integers
Prove results involving inequalities using previously obtained or known inequalities
Prove inequalities involving geometry
Prove inequalities using graphical or calculus techniques or a combination of both
Prove results involving trigonometric, logarithmic, exponential, polynomial or other identities, including the binomial theorem, using mathematical induction
Prove inequality results using mathematical induction
Prove results in calculus using mathematical induction
Explain that a recursive formula, or recurrence relation, is a formula that defines each term of a sequence using a preceding term
Prove results involving first-order recursive formulas using mathematical induction
Prove geometric results using mathematical induction