Download Lesson Plan #6

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Lesson Plan #025
Class: PreCalculus
Date: Thursday November 15th, 2012
Topic: Graphing Complex Numbers.
Aim: How do we graph complex numbers?
Objectives:
1) Students will be able graph complex numbers.
HW #25:
A) On a complex number plane, graph the complex numbers -6 – 5i and -7 + 4i.
B) Find the absolute value of each complex number.
C) Find the sum of the two complex numbers and represent the sum on the complex number plane.
Note:
Do Now: Given the complex number plane at right,
Graph the complex number 3+2i on the complex number plane
at right.
Procedure:
Write the AIM and DO NOW
Get students working
Take attendance
Give back work
Go over HW
Collect HW
Assignment #1:
Plot the following complex numbers on the
complex number plane at right.
A) -2
B) -2i
C) -3 +3i
D) 2-i
E) -4 – 2i
Assignment #2: Online Activity:
Let’s go to http://www.mathwarehouse.com/algebra/complex-number/absolute-value-complex-number.php to see how we
calculate the absolute value or magnitude of a complex number.
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Assignment #3: Online activity
Let’s go to http://www.geogebra.org/en/upload/files/english/mike_shepperd/complex_addition.html to see how to add complex
numbers graphically
Assignment #4: Add 1 + i and 2 – i graphically
Assignment #5:
Let’s go to http://www.geogebra.org/en/upload/files/english/mike_shepperd/complex_subtraction.html to see how to subtract
complex numbers graphically.
Assignment #6: Graphically subtract (-1+i) from (3+2i)
4) Geogebra applet on graph of product of complex numbers
http://www.geogebra.org/en/upload/files/english/mike_shepperd/complex_multiplication.html
If Enough Time
Assignment #7: Any
nonzero complex number z = x + yi has a unique multiplicative inverse
or reciprocal 1/z such that z(1/z) = 1. The reciprocal of zero is undefined. The reciprocal of the
complex number z is equal to its conjugate
, divided by the square of the modulus of the
complex number z.
If z = 4 + 3i, then what is the reciprocal of z?