Lesson Plan

Representing Reflections with Transformations

Curated and Reviewed by Lesson Planet

In the 16th lesson in the series of 32 the class uses the concept of complex multiplication to build a transformation in order to reflect across a given line in the complex plane. The lesson breaks the process of reflecting across a line into components that are already known, such as rotations and reflecting across the real axis. Using the same process, pupils derive formulas for general reflections.

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CCSS: Designed
Additional Tags
Instructional Ideas
  • Use patty paper or transparencies to review reflections and rotations on the coordinate plane
  • Review the notation used for transformations
Classroom Considerations
  • The class should have a thorough understanding of transformations from Geometry
Pros
  • The answer documents show all of the steps needed to arrive at the solution
  • The scaffolding includes suggestions for all types of learners — those that need more help and those that are proficient
Cons
  • None
Common Core