Pre-Calculus 3126
Chapter 3 - Polynomial & Rational Functions
Vocabulary: Parabolas, axis of symmetry, vertex, power function, polynomial function, zero function, constant function, linear function, rational function, asymptotes, zero of even or odd multiplicity, Intermediate Value Theorem, Fundamental Theorem of Algebra, complex numbers, conjugate
Writing Prompts: A. How do you find vertical and horizontal asymptotes of a function? B.  You do not have a calculator. You are given a polynomial function of degree five and must find the zeros, the shape, and the end behavior. Discuss your plan of action.
Code	LE's & SPI's	Fundamental Course Skills	Sample Assignment
P	Pre-requisite from previous courses.	Graph a quadratic function by hand and by using a graphing utility.	1 Day ~ 3.1 p. 189-192 #1-8, 9-75 (3rd), 87 3.2 p. 200 #1-17 odd
S	SPI 1.1 Model real-world phenomena using techniques.                 LE 1.1 Select and use appropriate algebraic functions to model real-world situations.	Use the maximum and minimum value of a quadratic to solve applied problems.
E	SPI 1.3 Use scatter plot residuals and/or correlation coefficients to determine whether a model is appropriate.      LE 1.2 Select and use appropriate techniques from data analysis to model real-world phenomena.	Find the quadratic function of best fit to data.
S	SPI 2.3 Analyze functions.	Analyze the graph of a polynomial function.	1 Day ~ 3.3 p. 211-212 # 3-69 (3rds)
E	SPI 1.1 Model real-world phenomena using techniques of data analysis.                    LE 1.2 Select and use appropriate techniques from data analysis to model real-world phenomena.	Find the cubic function of best fit to data.
S	SPI 2.3 Analyze functions.	Find the domain of a rational function.	2 Days ~ 3.4 p. 224-225 #1-17 odd, 24-48 (3rds) 3.5 p. 234-235 #3-45 (3rds)
S	SPI 2.3 Analyze functions.	Determine the vertical, horizontal, and oblique asymptotes of a rational function.
S	SPI 2.11 Determine an equation of a rational function.	Analyze the graph of a rational function.
S	SPI 1.5 Use models to draw conclusion.           LE 1.1 Select and use appropriate algebraic functions to model real-world situations.	Solve applied problems involving rational functions.
S	SPI 2.5 Use an appropriate technology to solve inequalities.	Solve polynomial and rational inequalities algebraically and graphically.	2 Days ~ 3.6 p. 243  # 1-57 odd
S	SPI 2.3 Analyze functions.	Solve polynomial equations.	1 Day ~ 3.7 p. 257-258 #5-70 (5ths)
E	SPI 2.3 Analyze functions.	Use the Intermediate Value Theorem.
S	SPI 2.3 Analyze functions.	Find a polynomial function with specified zeros.	1 Day ~ 3.8 p. 263-264 #5-35 (5ths)
S	SPI 2.3 Analyze functions.	Find the complex zeros of a polynomial function.
		Chapter Review	1 Day ~ p. 267-268 #33-99 (3rds)
I feel this chapter should take a total of 12 days to cover including the test and lab. 2 extra days are spent in lab if you are omitting them.
Lab 3 ~ Projectile Lab W/ Air Resistance