Support · Mathematics Extension 2 11–12 – Year 12 · The nature of proof
Support Explain that a recursive formula, or recurrence relation, is a formula that defines each term of a sequence using a preceding term
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 proof of the formula proj_ba = ((a⋅b)/(b)²)b = (a⋅b̂)b̂ and use the formula to solve problems
Mathematics Extension 1 11–12 – Year 12 · Introduction to vectors Draft mapping
No checked resources on this prerequisite dot point yet.
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.
Define the leading term of P(x) to be the term of highest degree and define the leading coefficient of P(x) to be the coefficient of the leading term
Mathematics Extension 1 11–12 – Year 11 · Polynomials Draft mapping
No checked resources on this prerequisite dot point yet.