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Mastering Complex Numbers: Algebra II Lesson 4

Learn to simplify, add, subtract, multiply, and divide complex numbers. Practice with imaginary numbers, conjugates, and the real and imaginary parts. Ready for a challenge? Try the Ticket Out the Door activity!

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Mastering Complex Numbers: Algebra II Lesson 4

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  1. Warm – up #1 Simplify 1. 2. 3. 4.

  2. Warm – up #1 Solutions 1. 6 16 2 3 4 4 2 2 2 2 =

  3. Warm – up #1 Solutions 2. = = =

  4. Warm – up #1 Solutions 3. 9 8 3 3 2 4 2 2 = -

  5. Warm – up #1 Solutions 4. 6 18 3 22 9 3 3 =

  6. Homework Log

  7. 11/3/15 Lesson 4 – 8 Complex Numbers Algebra II

  8. Learning Objective • To simplify complex numbers • To add complex numbers • To subtract complex numbers • To multiply complex numbers • To divide complex numbers

  9. Imaginary Numbers 1.  = 1 2. 111  = R1 R2 R3 R0

  10. Imaginary Numbers 3. = = = 4. = = = 5. = 6. = = = =

  11. Complex Numbers Imaginary Part Complex Conjugate & Real Part

  12. Add & Subtract Complex #s 10. = = 11. = = 12. = 7. 8. 9. (5−3𝑖) −(−2+4𝑖) = (5−3𝑖) +(2 – 4𝑖) =77𝑖

  13. Mulitplying Complex #s 7. 8. 9.

  14. Mulitplying Complex #s 10. 11. 12. Conjugates a + bi & a – bi

  15. Dividing 13. = = = Put in standard form a + bi

  16. Dividing 14. = = =

  17. Dividing 15. = = =

  18. Dividing 16. = = =

  19. Dividing 17. = = =

  20. Review 18. 19. 20. –35 21. 18. 19. 20. 21.

  21. Ticket Out the Door • Simplify • Explain.

  22. Assignment:Pg. 253 #8–12, 18 – 31

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