Support · Mathematics Extension 2 11–12 – Year 12 · Introduction to complex numbers

Support Define and use the principal argument Arg(z) of a non-zero complex number z as the unique value of the argument in the interval (- π,π]

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

Prove ⁿC_r = ^(n - 1)C_r - 1 + ^(n - 1)C_r for 1 ≤ r ≤ n - 1 algebraically and using combinatorial arguments

Mathematics Extension 1 11–12 – Year 11 · Permutations and combinations Draft mapping

No checked resources on this prerequisite dot point yet.

Define the zero vector 0, written as 0∼, as the vector with zero magnitude and no direction

Mathematics Extension 1 11–12 – Year 12 · Introduction to vectors Draft mapping

No checked resources on this prerequisite dot point yet.

Establish a⋅b = ±(a)(b) as another way to determine if two non-zero vectors a and b are parallel

Mathematics Extension 1 11–12 – Year 12 · Introduction to vectors Draft mapping

No checked resources on this prerequisite dot point yet.