List

Introducing Complex Numbers

This collection of resources has been designed to introduce students to complex numbers in an exploratory way. We have set challenges to provoke students to be playful within the structure of complex numbers and the Argand diagram, and we hope that this playful exploration will lead to a deeper understanding of the way complex numbers can be manipulated.

Complex squares
problem

Complex squares

Age
16 to 18
Challenge level
filled star empty star empty star
What happens when we square complex numbers? Can the square of a complex number be real?