Complex Number Division 1

Conjugating in the math classroom — and we're not talking verbs! The seventh instructional activity in a series of 32 introduces the class to the building blocks of complex number division. During the instruction, the class learns to find the multiplicative inverse of a complex number. As the examples progress, class members realize the relationship between the multiplicative inverse and the conjugate and find the general form of the inverse for all complex numbers.

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CCSS: Designed
Instructional Ideas

  • Provide a mini-lesson on what it means to be a multiplicative inverse
  • Lead a discussion on the meaning of two complex numbers to be equal
Classroom Considerations

  • The class should be familiar with the real and imaginary components of complex numbers
Pros

  • The suggested teacher questions have the teacher make the connection to past learning in Algebra II
  • The problem set has the pupils show that the process of finding the multiplicative inverse of complex numbers also works for real and imaginary numbers
Cons

  • None
Common Core