Support · Mathematics Extension 2 11–12 – Year 12 · Introduction to complex numbers
Support Use de Moivre’s theorem to derive trigonometric identities
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.
Prerequisite links are draft mappings generated from the syllabus structure (earlier stage, same strand, closest content). They are being reviewed by teachers. Spot a poor match? Tell us.
Prerequisite dot points
Derive the binomial theorem: (x + y)ⁿ = ⁿC_0xⁿ + ⁿC_1x^(n - 1)y + ⁿC_2x^(n - 2)y² + … + ⁿC_n - 1xy^(n - 1) + ⁿC_nyⁿ, when n is a positive integer
Mathematics Extension 1 11–12 – Year 11 · The binomial theorem Draft mapping
No checked resources on this prerequisite dot point yet.
Apply given or proven identities involving binomial coefficients to prove further identities, without the use of calculus
Mathematics Extension 1 11–12 – Year 11 · The binomial theorem Draft mapping
No checked resources on this prerequisite dot point yet.
Derive and use the property a⋅a = (a)² to establish the scalar product definition of the magnitude of a vector ((a) = √(a⋅a)) in two dimensions and three dimensions
Mathematics Extension 1 11–12 – Year 12 · Introduction to vectors Draft mapping
No checked resources on this prerequisite dot point yet.