Visualising and Representing Complex Numbers

Current

Visualising and Representing Complex Numbers

If you have never met complex numbers before, these problems offer a gentle introduction before challenging you to use different representations to visualise what happens when complex numbers are manipulated in different ways.

A Brief Introduction to Complex Numbers link

A Brief Introduction to Complex Numbers 

Stage: 4 and 5 Challenge Level: Challenge Level:1

In this problem, we define complex numbers and invite you to explore what happens when you add and multiply them.

A Brief Introduction to the Argand Diagram link

A Brief Introduction to the Argand Diagram 

Stage: 4 and 5 Challenge Level: Challenge Level:1

Complex numbers can be represented graphically using an Argand diagram. This problem explains more...

Complex Squares link

Complex Squares 

Stage: 5 Challenge Level: Challenge Level:1

What happens when we square complex numbers? Can the square of a complex number be real?