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NSW Curriculum
NSW Education Standards Authority

11–12Mathematics Extension 1 11–12 Syllabus

Record of changes
Implementation from 2026
Expand for detailed implementation advice

Content

Year 12

Proof by mathematical induction
  • 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

  • ME1-12-01

    uses mathematical induction to prove results involving sums and divisibility

Proof by mathematical induction
  • Examine the nature of inductive proof, including the statement to be proved, the base case and the inductive step

  • Prove results for sums using mathematical induction

  • Prove divisibility results using mathematical induction

  • Identify errors in false ‘proofs by induction’, such as cases where only one of the two required steps of a proof by induction is true