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

Support Find the two square roots of a complex number z = a + ib

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

Use the midpoint and distance formulas 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.

Recognise that x(t) and y(t) form a pair of parametric equations for the path of the object

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

No checked resources on this prerequisite dot point yet.

Verify the equivalence of a⋅b = (a)(b)cosθ with the algebraic definition of the scalar product, a⋅b = x_1x_2 + y_1y_2 for two dimensions and a⋅b = x_1x_2 + y_1y_2 + z_1z_2 for three dimensions

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

No checked resources on this prerequisite dot point yet.