Lesson Plan

Exploiting the Connection to Cartesian Coordinates

Curated and Reviewed by Lesson Planet

Multiplication in polar form is nice and neat—that is not the case for coordinate representation. Multiplication by a complex number results in a dilation and a rotation in the plane. The formulas to show the dilation and rotation are somewhat unruly. The teacher leads a discussion of needing to have a better notation in the 21st part of the 32-part series.

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CCSS: Designed
Additional Tags
Instructional Ideas
  • Review coordinate notation for geometric transformations
  • Begin the lesson by having the class multiply two specific complex numbers and the general case
Classroom Considerations
  • Class members should be comfortable multiplying complex numbers algebraically
  • The scaffolding gives suggestions on how to reword some of the questions for individuals who may have trouble with them as written
  • The discussion notes foreshadow future lessons, giving learners an idea of upcoming concepts they will cover
  • None
Common Core