Algebra II: Vickie Conway & Patty Eberhard
Algebra II
Day & Date:
Friday, October 30
Standard:
Find the real and complex roots of higher degree polynomial equations using the factor
theorem, remainder theorem, rational root theorem, and fundamental theorem of algebra,
incorporating complex and radical conjugates. Solve a variety of types of equations by
appropriate means choosing among mental calculation, pencil and paper, or appropriate
technology.
L. G. Rational Root Theorem
Fundamental Theorem of Algebra
Essential Question:
Learning Goal:
Acivating Strategy: Lesson
Opener: (____min.)
Teaching Strategies:
Procedures/Technology/
Perfomance Tasks:
(______min.)
Kick-Off (facilitated by Eberhard in 5th period)
Refer to standard
Quickly recap Rational Root Theorem and Fundamental Theorem of Algebra
Students travel in stations to practice problems involving these theorems
Station 1: Define Rational Root Theorem in your own words. You may use your iPad to look it up.
Station 2:
Find all possible zeros of:
F(x) = x3 – 7x + 20
Station 3:
Find all possible zeros of:
G(x) = 3x4 – x2 -2x – 12
Station 4:
Find all zeros of:
F(x) = x3 – 7x2 + 2x + 40
Station 5:
Find the zeros of the function:
H(x) = x4 – 5x3 + 7x2 + 3x – 10
Station 6:
Explain the fundamental theorem of algebra in your own words. Use your iPad to help you.
Algebra II: Vickie Conway & Patty Eberhard
Station 7:
Find the # of possible zeros of the function:
F(x) = 3x4 + 20x2 – 32
# positive:
# negative:
# imaginary:
Station 8:
What should you do to the function in order to find out the number of possible negative solutions?
Station 9:
Define Descartes Rule of Signs. Use iPad to help.
Summarizer Strategy:
Closing Activity:
(_____min.)
TOD: What mode on your calculator do you use to help you find zeros of a function?
Assessment/Evaluation:
(_____min.)
Summary
Teacher observation
Materials Needed:
Smart board
Calculator
iPad