1. 4-8 Complex Numbers Today’s Objective: I can compute with complex numbers.

2. Number System Natural Numbers 1, 2, 3,... Integers …,-2, -1, 0, 1, 2, … Rational Numbers Ratios (fractions) Real Numbers Irrational Numbers π, Imaginary Numbers Complex Numbers

3. Imaginary unit: The circle of i. Simplify each expression. Solve for x.

4. Complex Numbers a and b are real numbers Real Term Imaginary Term Addition & Subtraction Combine like terms Multiplication FOIL but remember p.253: 8-12, 18-26, 79, 81

5. 4-8 Complex Numbers Day 2 Today’s Objective: I can divide complex numbers and solve quadratic equations with complex zeros.

6. Review Complex Numbers Evaluate: Real Term Imaginary Term Evaluate:

7. Complex Conjugates Complex Number Conjugate? Multiply Conjugates inverse operation between real and imaginary terms

8. Dividing Complex Numbers Task: Eliminate imaginary part from denominator. Multiply by the conjugate of the denominator.

9. Dividing Complex Numbers Task: Eliminate imaginary part from denominator.

10. Solve p. 253: 27-43 odd, 47-55 odd