Complex Systems and Polynomial Functions · Algebraic Thinking

The Number System and Complex Solutions

Expanding the real number system to include imaginary units for solving quadratic equations with no real roots.

Key Questions

  1. 1Why do we need a non real number system to describe physical phenomena?
  2. 2How does the introduction of i change our understanding of the fundamental theorem of algebra?
  3. 3When is a complex solution more meaningful than a real world approximation?

Common Core State Standards

CCSS.Math.Content.HSN.CN.A.1CCSS.Math.Content.HSN.CN.C.7
Grade: 11th Grade
Subject: Mathematics
Unit: Complex Systems and Polynomial Functions
Period: Algebraic Thinking

Suggested Methodologies

Ready to teach this topic?

Generate a complete, classroom-ready active learning mission in seconds.

Generate a Custom MissionBrowse Lesson Plan Templates

More in Complex Systems and Polynomial Functions

Polynomial End Behavior and Continuity

Analyzing how the leading coefficient and degree of a polynomial dictate its long term growth and shape.

2 methodologies

The Remainder and Factor Theorems

Using synthetic and long division to find roots and simplify complex algebraic expressions.

1 methodologies

Browse curriculum by country

AmericasUSCAMXCLCOBR
EuropeUKIEFRDEESITNLPTSE
Asia & PacificINSGAU