Curves in the Complex Plane

Go around and around on the complex plane. The sixth lesson in a 23-part unit reviews representing numbers in the complex plane. Pupils graph numbers with equal moduli and notice they represent a circle. They continue to explore complex numbers and discover their graphs as ellipses. Scholars convert between complex and real forms of equations of ellipses.

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CCSS: Designed
Additional Tags
Instructional Ideas
  • Provide a separate mini-lesson on the parts and graphing of ellipses
Classroom Considerations
  • Individuals should know how to graph points on the complex plane
  • Requires the ability to convert a complex number into polar form
Pros
  • Includes sample answers for examples, the exit ticket, and practice problems
  • The problem set contains extension problems
Cons
  • None
Common Core