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This Roots of Unity lesson plan also includes:
- Teacher Version (.docx)
- Student Version (.pdf)
- Student Version (.docx)
- Precalculus Module 3: Teacher Materials (.pdf)
- Precalculus Module 3: Student Materials (.pdf)
- Precalculus Module 3: Copy Ready Materials (.pdf)
- Precalculus Module 3 (.html)
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Visualize the nth roots of unity. Pupils calculate the nth roots of unity and find all n roots. Learners plot the solutions in the complex plane and observe that they are the vertices of a regular n-gon inscribed in the unit circle. Scholars practice finding the nth roots of units by solving polynomial equations algebraically, using polar form, by expanding complex numbers.
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Instructional Ideas
- Review polynomial identities such as difference of cubes and sum and difference of squares
Classroom Considerations
- Assumes individuals know how to convert complex numbers into polar form
- Uses GeoGebra to visualize the polar form of the nth roots
- Third installment of a series of 23
Pros
- Provides sample solutions to problems
- Includes a lesson summary
Cons
- None