1. pre-calc day 3 Warm-up: Activities: Learning goal:
Be able to write, solve and graph linear and quadratic equations from a variety of initial inputs
Activities:
Warm-up discussion
Text book check out:
Review station activitiy
Notes on complex numbers
Warm-up:
Yesterday was labor day:
Talk with your table group:
What do you know about, and what are your thoughts on labor unions?
Be prepared to share some of those thoughts with the class?
pre-calc day 3

2. Quadratic Review Stations
Start at any station: spread yourselves out.
Work for 4 minutes.
Move clockwise to the next station.
Timer

10. Chapter 1 - Sections 5 through 8
Main Ideas
Solving a Quadratic Equation 𝑎 𝑥 2 +𝑏𝑥+𝑐=0
Graphing a Quadratic Function
Quadratic Models
Complex Numbers
Key Terms
Imaginary Unit i
Complex Number
Complex Conjugates
Quadratic Equation
Completing the Square
Discriminant
Quadratic Function
Quadratic Model

11. The complex number system
Part ii

12. Identify the numbers below as rational or irrational numbers

13. Complex numbers
Any number of the form a+bi, where a and b are real numbers and i is the imaginary unit is called a complex number.
a is the called the real part and b is called the imaginary part.
If b≠0, the number is called an imaginary number.

14. Numbers
Complex numbers
a + bi
Real numbers
Imaginary numbers

15. The Number System Insert at least two examples for each level.
Complex numbers
Real Numbers
Rational
Irrational
Imaginary Numbers

16. Imaginary unit
The imaginary unit is i which has the following properties:
Now try these

17. Square root of negative numbers:

18. =3𝑖−2 5𝑖 =3𝑖−10𝑖=−7𝑖
Example

19. Examples Multiply (2+3i)(4+5i)= =8+10𝑖+12𝑖+15 𝑖 2 =8−15+22𝑖=−7+22𝑖
Add: (2+3i)+(4+5i)
=6+8𝑖
Multiply (2+3i)(4+5i)=
=8+10𝑖+12𝑖+15 𝑖 2 =8−15+22𝑖=−7+22𝑖

20. Dividing; express in form of a+bi.