The Argand Diagram (Complex Plane)

The Argand diagram is a core part of the Complex numbers topic in NSW Year 12 Mathematics Extension 2 (NESA outcome ME2-12-03). This subtopic plots a complex number \(z = a + ib\) as a point on the complex plane (the Argand diagram), giving a geometric picture of complex numbers alongside their algebra.

Students and teachers will cover how to represent complex numbers, their conjugates, and their sums and differences as points and displacements on the Argand plane — building the geometric intuition that underpins the rest of the HSC Extension 2 complex numbers course.