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This Does Every Complex Number Have a Square Root? 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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Help the class find a better way. Pupils recall finding nth roots or a complex number in polar form from a previous module to find the square root of a complex number. Using the second installment in a series of 23, scholars discover it is not necessary to convert to polar form to find the square root of a complex number. While working examples, learners find the relationship between square roots of conjugate pairs of complex numbers.
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CCSS:
Designed
Concepts
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Instructional Ideas
- Review factoring a sum of squares
Classroom Considerations
- Requires the class to understand the polar form of a complex number
- Assumes individuals are comfortable with simplifying radical expressions
Pros
- Contains complete answers for examples, the exit ticket, and the problem set
- Highlights sections of the lesson that use of mathematical practices
Cons
- None