1. Imaginary Number: POWERS of i: Is there a pattern?
Pattern repeats every 4th power: Divide power by 4 and use remainder
Ex:

2. I ONE, I ONE! LOSERS IN THE MIDDLE
LOSERS=NEGATIVE

3. Example 1: Simplifying Powers of i
[B]
[C]
[D]
[E]
[E]

4. Example 2 Simplify Square Roots of Negative Numbers
[C]
[F]
[D]
[E]

5. Example 3 Multiplying Pure Imaginaries
1st: Convert all square roots into imaginary number notation
[A]
[B]
[C]
[D]
[F]
[E]

6. Example 4: Operations with Complex Numbers
Complex Number: binomial term of real and imaginary #
Add and Subtract: Combine Like Terms
Multiply: FOIL, Distributive Property, Laws of Exponents
Division: Rationalize with Conjugates
[B]
[A]
[C]
[D]

7. Example 5: Simplifying Using Complex Conjugates
[B]
[C]
[D]
Binomial Conjugate
[E]
Binomial Conjugate

8. Example 6: Equations with Imaginary Solutions
Additional examples to come with quadratic formula
[A]
[B]
[C]
[D]

9. PRACTICE: Equations with Imaginary Solutions
[B]
[C]
[D]