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Lesson Packs · Grade 12 · Mathematics

Polar Form of Complex Numbers and De Moivre's Theorem

Students multiply and divide complex numbers in modulus–argument form, use De Moivre's theorem to find powers quickly, and find all the nth roots of a complex number and show them on an Argand diagram.

Unit 10 · Lesson 29 · Further Complex Numbers and Statistics

Preview

Polar Form of Complex Numbers and De Moivre's Theorem — Slide 1
  • Polar Form of Complex Numbers and De Moivre's Theorem — Slide 4
    Slide 4
  • Polar Form of Complex Numbers and De Moivre's Theorem — Slide 6
    Slide 6
  • Polar Form of Complex Numbers and De Moivre's Theorem — Slide 16
    Slide 16
  • Polar Form of Complex Numbers and De Moivre's Theorem — Slide 17
    Slide 17
  • Polar Form of Complex Numbers and De Moivre's Theorem — Worksheet, page 1
    Worksheet, page 1
  • Polar Form of Complex Numbers and De Moivre's Theorem — Answer key, page 1
    Answer key, page 1

Learning objectives

  • Multiply and divide complex numbers in polar form by combining their moduli and arguments.
  • Use De Moivre's theorem to find integer powers of complex numbers.
  • Find all the nth roots of a complex number and describe their positions on an Argand diagram.

What's inside

  • 39 PowerPoint slides: lesson, worked examples and the worksheet with solutions
  • 11 worksheet questions (35 marks) with step-by-step solutions
  • Printable worksheet (4 pages) and a teacher answer key
  • Fully editable in PowerPoint, Google Slides, Keynote and Word

More lessons in this unit

Questions teachers ask

Can I edit the files?

Yes. The PowerPoint and the Word worksheet are fully editable, so you can change examples, add questions or adapt the design for your class.

How do I use the worksheet slides?

After the teaching slides, each worksheet question appears on its own slide. Let students try it first, then show the next slide and work through the solution together.

Is there an answer key?

Yes. The Word file ends with a teacher answer key that has the answer and a worked solution for every question. It is also included as a separate PDF.

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Every Lesson Pack is made in 18 languages: English, Simplified Chinese, Hindi, Spanish, Arabic, French, Bengali, Portuguese, Indonesian, Urdu, Vietnamese, Albanian, Italian, German, Turkish, Malay, Greek and Traditional Chinese (Hong Kong).

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