Support · Mathematics Extension 2 11–12 – Year 12 · The nature of proof
Support Use the notation P∧Q to represent the statement ‘ PandQ ’ and the notation P∨Q to represent the statement ‘ PorQ ’
Resources for the prerequisite content of this dot point: earlier-stage (or earlier sub-level) dot points in the same strand that students usually need first. Use these to fill gaps before or alongside the core lesson.
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Prerequisite dot points
Examine the nature of inductive proof, including the statement to be proved, the base case and the inductive step
Mathematics Extension 1 11–12 – Year 12 · Proof by mathematical induction Draft mapping
No checked resources on this prerequisite dot point yet.
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
Mathematics Extension 1 11–12 – Year 12 · Proof by mathematical induction Draft mapping
No checked resources on this prerequisite dot point yet.
Prove divisibility results using mathematical induction
Mathematics Extension 1 11–12 – Year 12 · Proof by mathematical induction Draft mapping
No checked resources on this prerequisite dot point yet.