Download Lesson Plan #6

1
Lesson Plan #028
Class: PreCalculus
Date: Thursday December 3rd, 2015
Topic: Complex Numbers.
Aim: How do we work with complex numbers?
Objectives:
1) Students will be able to add, subtract, multiply, divide, and plot complex
numbers
HW# 028: Page 172#’s 8, 12, 22, 24, 32, 35, 42, 54, 62, 74, 80.
x 4  6 x3  11x 2  6 x
, in other words divide out any
x 2  3x  2
Do Now: Simplify
common factors.
2) Solve for all values of x that satisfy the equation:
Procedure:
Write the AIM and DO NOW
Get students working
Take attendance
Give back work
Go over HW
Collect HW
imaginary number
Standard form of a complex number
Assignment #1:
Let’s plot the solutions to the equation from the Do Now on a complex number
plane.
Assignment #2: We know
i  1 .
What do we get when we multiply both sides by i ?
Multiply
i 2 by i .
Multiply
i 3 by i
What do we get?
. What do we get?
Graphically, what is the effect of multiplying by i?
Assignment #3:
A) Simplify i 3
B) Simplify
i17
C) Simplify i120
D) Simplify
i 6402
2
On Your Own:
1) Simplify 2i
+ 3i
5) Solve for x and y: 3
8) Simplify
2) Simplify 16i – 5i
– 4i = x + yi
3) Simplify (3i)(4i)
6) Simplify (5 – 2i) – (–4 – i)
9) Simplify
10)
If enough time:
1) Write the complex number in standard form
 .0004
2) Write the complex number in standard form
 4i 2  2i
3) Write the complex conjugate of the complex number
8  2i
4) Perform the operation and write the result in standard form
i
2i

3  2i 3  8i
4) Simplify (i)(2i)(–3i)
7) Simplify (2 – i)(3 + 4i).