Unit 1: Extending Algebra 1
Unit 2: Radicals, Complex Numbers, and Families of Functions
Unit 3: Introduction to Conics
Unit 4: Polynomial Functions
Unit 5: Exponents and Logarithms
Unit 6: Statistics and Probabilities
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Lesson 15: Complex Numbers and the Imaginary Unit

Get Started

  • Click the Lesson Pages button to print them.
  • Read Objectives and Why?
  • Complete the Warm Up.

Objectives

  • Classify complex numbers (real, imaginary, complex).
  • Define the imaginary unit as
    i2=1.
  • Simplify roots of negative numbers using the imaginary unit.
  • Simplify powers of the imaginary unit.

Why?

Complex numbers show the entire number system, Real and Imaginary. This concept helps deepen your understanding when graphing polynomials. But first, you need to learn what complex numbers are and how to work with them. Imaginary numbers are important because they provide ways to find solutions that otherwise would not have a real number solution, which is important in solving problems in engineering and physics.

Warm Up

The Warm Up activates prior knowledge that is related and important to your understanding of the lesson. It is a great way to prepare your mind for what you are about to learn.

Complete the Warm Up in your Lesson Pages.
If needed, click See It Solved to check your work.

See it Solved