Complex Numbers

athroop, Sandi Yoder, Jul 21, 2016

Complex Numbers

Table of Contents

  1. Background Materials
    1. Patterns in Complex Numbers Task
    2. IB Math HL Patterns in Complex Numbers Solutions
    3. Complex sequences and series
  2. Investigation Sketches
    1. Nonagon Problem: Introduction
    2. Complex Number Definition
    3. Polar Form of a Complex Number
    4. Complex Numbers: What's My Rule?
    5. Complex Numbers: What's My Rule?
    6. Complex Numbers: What's My Rule?
    7. Complex Numbers: What's My Rule?
    8. Complex Numbers: What's My Rule?
    9. Complex Numbers: What's My Rule?
    10. Complex Numbers: What's My Rule?
    11. Complex Numbers: What's My Rule?
    12. Complex Numbers: What's My Rule?
    13. Copy of Complex Number Investigation
    14. Roots of Complex Numbers

1.

Background Materials

An IB Mathematics HL Portfolio Task for investigating properties of complex numbers.

  • 1. Patterns in Complex Numbers Task
  • 2. IB Math HL Patterns in Complex Numbers Solutions
  • 3. Complex sequences and series

1.1.

Patterns in Complex Numbers Task

IB Math HL Patterns in Complex Numbers Task
– Sandi Yoder

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2.

Investigation Sketches

  • 1. Nonagon Problem: Introduction
  • 2. Complex Number Definition
  • 3. Polar Form of a Complex Number
  • 4. Complex Numbers: What's My Rule?
  • 5. Complex Numbers: What's My Rule?
  • 6. Complex Numbers: What's My Rule?
  • 7. Complex Numbers: What's My Rule?
  • 8. Complex Numbers: What's My Rule?
  • 9. Complex Numbers: What's My Rule?
  • 10. Complex Numbers: What's My Rule?
  • 11. Complex Numbers: What's My Rule?
  • 12. Complex Numbers: What's My Rule?
  • 13. Copy of Complex Number Investigation
  • 14. Roots of Complex Numbers

2.1.

Nonagon Problem: Introduction

Consider the following regular nonagon inscribed in a unit circle. Use the measuring tool to find the lengths of all the green segments. What is the product of these lengths? How would you begin to explain (prove) this?
– Steve Phelps

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2.6.

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2.7.

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2.8.

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2.9.

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2.10.

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2.11.

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2.12.

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2.13.

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2.14.

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