Course Outline
Institution:
Course Title:
Course Prefix/#:
Type of Program:
Credits:
Date:
Outline Developed by:
Clackamas Community College
Algebra III
Mth 095
Developmental
4
January 12, 2009
Brenda Herman & Bruce Simmons
Course Description:
This course covers linear models and regression, rational expressions (simplifying, adding
subtracting, multiplying, and dividing), solving rational equations, graphing rational functions,
roots and radicals, radical expressions (simplifying, adding, subtracting, multiplying and
dividing), solving radical equations, solving quadratic equations, graphing parabolas, inverse
relations and functions, exponential functions and their properties, quadratic regression,
logarithmic functions and their properties, solving exponential and logarithmic equations
Exponential, logarithmic, and rational equations are presented at an introductory level, and are
solved graphically and algebraically.
Length of Course:
42 lecture hours
Grading Criteria:
Letter grade or Pass / No Pass
Prerequisite:
Pass Math 65 with a C or better, or appropriate placement score
Required Materials:
Elementary & Intermediate Algebra (3rd Edition) ISBN: 978-0-07-327374-7
by Baratto and Bergman
A graphing calculator (TI-83 or 84 series)
Course Objectives:
This course will foster an understanding of distributing and factoring, linear models and
regression, roots and radicals, operations on rational expressions, solving rational
expressions, solving rational equations, graphing rational functions, properties of exponents
including negative exponents and fractional exponents, solving radical equations, graphing
parabolas, solving quadratic equations by factoring and by using the quadratic formula,
inverses of functions, rational exponents, power growth models and properties, exponential
functions, logarithmic functions, solving exponential equations, solving logarithmic equations,
and applications of these topics
Student Learning
Outcomes:
Upon completion of this course, the student is expected to be able to do the following:
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Use a graphing calculator to …
a. graph a function.
b. read function values from the graph of a function by using the
Trace feature or the Table utility.
c. determine the point(s) of intersection of two functions.
d. determine the x-intercept(s) the y-intercept of a function.
e. determine the maximum and minimum values of a function.
f. do a regression
Solve equations numerically and graphically.
Solve quadratic equations graphically, by factoring and by using the quadratic
formula.
Simplify, add, subtract, multiply, and divide rational expressions.
Determine the domain, vertical asymptote, x-intercept, and y-intercept of a
rational function.
Graph rational functions.
Solve rational equations algebraically.
Solve word problems involving rational equations.
Simplify expressions involving rational exponents.
Determine the inverse of a function represented by a table of values, an
equation, or a graph.
Use the horizontal line test on the graph of a function to determine if a function
has an inverse function.
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Suggested timeline:
Determine the domain and range of a function and its inverse.
Recognize and describe the relationship between the graphs of a function and
its inverse function.
Answer questions about a function using complete sentences.
Determine the properties of exponential functions.
Graph an exponential function.
Determine an exponential regression equation and make predictions using the
equation.
Determine the inverse of an exponential function.
Determine the properties of logarithmic functions
Convert from exponential form to logarithmic form and vice versa.
Be able to use the product, quotient, and power rules of logarithms.
Be able to use the change-of-base formula.
Graph logarithmic functions.
Solve exponential and logarithmic equations both algebraically and graphically
(using your graphing calculator).
Evaluate radical expressions.
Determine the domain of radical functions.
Graph radical functions.
Be able to simplify radicals using the product rule and quotient rule.
Solve problems involving radicals.
Be able to solve radical equations.
CLASS HOURS
3
3
6
6
4
6
6
8
42
TOPIC
Distributing and Factoring
Linear Modeling and Regression
Rational Expressions and Functions
Radicals and Exponents
Quadratic Functions
Exponential Functions and Regression
Logarithmic Functions
Assessments / Final Exam