Download Sample 5.3.B.2 Complete

A2.N-CN.1-2
2011
Domain: The Complex Number System
Cluster: Perform arithmetic operations with complex numbers
Standards: Know there is a complex number i such that i2 = –1, and every complex number has the form a + bi with a and b
real.
Use the relation i2 = –1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex
numbers.
Essential Questions
What are complex numbers
and why are they
necessary?
How do you perform
operations on complex
numbers?
How does it correspond to
the coordinate plane?
Content Statements
Enduring Understandings
A complex number is a number
that is part real and part
imaginary.
Activities, Investigation, and Student Experiences
Investigation
 Calculator activity (square root of a negative number)
 Factor a prime trinomial
Expand knowledge base to
recognize the need for numbers
outside the real number system.
 Concept of closure of a
number system
Coordinate plane and complex plane comparisons (side by side)
Compare to concept of Like
Terms
Interactive graph which has you identify the imaginary and real
coordinates of a point in a complex plane.
There will be no x-intercepts
Point in a complex plane activity
http://www.explorelearning.com/index.cfm?method=cResource.
dspDetail&ResourceID=147
A2.N-CN.1-2
2011
Perform operations on
complex numbers.
Simplify complex
expressions.
Assessments
Simplify (2 – i)(3 + 4i). 10 + 5i
Simplify (2 + 3i) + (1 – 6i). 3 – 3i
How can you rewrite the expression (8 – 5i)2 in the form a +
bi?
A) 39 + 80i
B) 39 – 80i **
C) 69 + 80i
D) 69 – 80i
Equipment Needed:
Graphing calculator
Internet access
Teacher Resources:
http://www.purplemath.com/modules/complex2.htm
http://www.khanacademy.org/video/introduction-to-i-andimaginary-numbers?playlist=Algebra