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Introducing Complex Numbers

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.

A Brief Introduction to Complex Numbers 
Age 14 to 18
Challenge Level Yellow star

This problem offers practice in manipulation of complex numbers while gaining insight into their structure

A Brief Introduction to the Argand Diagram 
Age 14 to 18
Challenge Level Yellow star

This problem introduces the Argand diagram and invites students to explore complex number multiplication dynamically.

Complex Squares 
Age 16 to 18
Challenge Level Yellow star

This problem invites students to explore on the Argand diagram the effects of squaring complex numbers.

Related

  • Visualising - Advanced
  • Representing - Advanced
  • Complex Numbers Further
  • The Twizzle Trail

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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