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Exploring Imaginary and Complex Numbers: EQ7 & EQ8

Learn about the imaginary unit "i" and operations with complex numbers. Find the complex conjugate and engage in partner activities. Stay engaged in math!

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Exploring Imaginary and Complex Numbers: EQ7 & EQ8

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  1. EQ7: How do we learn about the imaginary unit i and about imaginary numbers like 3i? EQ8: How do we perform operations with complex numbers? Monday, 20181015Imaginary & Complex Number

  2. Monday, 20181015 Essential Questions EQ7: How do we learn about the imaginary unit i and about imaginary numbers like 3i? EQ8: How do we perform operations with complex numbers? Vocabulary: imaginary numbers, complex numbers Agenda Bridge Math • Store your phones • Find your seat • Bellwork: Math Minutes • NO Calculator • EQ7 & EQ8 Complex Numbers • NO Exit Ticket • Remain in seat until bell rings. Teacher Dismisses NOT the bell. It’s always a great day to be a Wolverine! No Sleeping!

  3. Bellwork: Monday, Math Minutes, 20181015

  4. Answers

  5. Complex Conjugate -The conjugate of a + bi is a – bi -The conjugate of a – bi is a + bi To find the complex conjugate of 1-3i we change the sign of the imaginary part.

  6. Examples: complex conjugate The complex conjugate we are going to look at a quantity known as the complex conjugate. Every complex number has associated with it another complex number known as its complex conjugate. • You find the complex conjugate simply by changing the sign of the imaginary part of the complex number. • To find the complex conjugate of 4+7i we change the sign of the imaginary part. • Thus the complex conjugate of 4+7i is 4 - 7i. • To find the complex conjugate of 1-3i we change the sign of the imaginary part.

  7. Find the conjugate of each number… 8) 9) 10) 11)

  8. Divide… 12)

  9. You try… 13)

  10. Stop Here: NO calculators

  11. Partner Activity • Find your partner. Listen for instructions. • Take out a sheet of paper. • Label your paper with EQ7 and EQ8: Imaginary Numbers, your name, class period, and date. • Everyone writes and answers ALL the problems.

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