# COURSE OUTLINE

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```							                                                  Course Outline
Institution:            Clackamas Community College
Course Title:           Algebra II
Course Prefix / #:      Mth 065
Type of Program:        Developmental
Credits:                4
Date:                   July 1, 2008
Outline Developed by:   Mark Yannotta and Louis Kaskowitz

Course Description:     A second course in a three-term sequence in introductory algebra, this course incorporates
the rule-of-four approach for functions as they are explored numerically, symbolically,
graphically, and verbally. Other course topics include properties of exponents, polynomials,
factoring, quadratic equations, two by two systems of linear equations, and one-variable
equations and inequalities.

Length Of Course:       42 lecture hours

Prerequisites:          Pass Mth 060 with a C or better, or appropriate placement score
rd
Required Material:      Elementary and Intermediate Algebra: A Unified Approach (3 ed.), Baratto, S. & Bergman, B.
(2008) accompanied with MathZone.
(ISBN-10: 0-073-30931-1) A graphing calculator (TI-83 or 84 series) is required.

Course Objectives:      This course will foster an understanding of function sense, linear and quadratic functions,
systems of two linear equations, linear equations and inequalities, polynomial expressions and
functions, properties of exponents and applications of these topics.

Student Learning        The student will be able to:
Outcomes:
   Determine the equation that defines a function.
   Write the equation to define a function.
   Determine the domain and range of a function.
   Identify the independent and the dependent variables of a function.
   Use the slope/intercept form of an equation of a line.
   Compare the slopes of lines.
   Write an equation of a line in general form.
   Write the slope-intercept form of a linear equation given the general form.
   Solve a 2 by 2 linear system of equations.
   Interpret and solve an application using a linear system of equations.
   Identify polynomial expressions and functions.
   Add and subtract polynomial expressions and functions.
   Multiply two binomials using the FOIL method.
   Multiply two polynomial functions.
   Apply property of exponents to multiply powers having the same base.
   Compose two functions symbolically and numerically
   Convert scientific notation to decimal notation.
   Convert decimal notation to scientific notation.
   Apply the property of exponents to divide powers having the same base.
   Use zero and negative real numbers as exponents.
   Solve equations in one variable graphically.
   Solve linear inequalities graphically.
   Factor expressions with a common factor.
   Factor trinomials using the trial and error or the “ac” method.
   Use the zero-product principle and factoring to solve equations.
   Analyze a model contextually.
Major Topic Outline:   Properties of exponents

Rules for working with integer exponents and scientific notation

Polynomials

Identifying, classifying, evaluating, adding, subtracting, and multiplying polynomials

Factoring

Factoring techniques such as greatest common factor, special cases, factoring trinomials
using either trial and error or the “ac” method, and factoring by grouping

Functions

Domain, range, function representations, polynomial expressions and functions, addition
and subtraction of polynomial expressions and functions, multiplication of polynomial
expressions and functions, multiplication of powers having the same base, and function
composition

Systems of Linear Equations

Algebraic methods such as substitution and elimination (addition) and graphical methods
for solving 2 by 2 systems

Linear equations and linear inequalities

Graphical methods for solving one-variable equations and inequalities

Suggested timeline:    CLASS HOURS               TOPIC

4                   Properties of exponents
6                   Polynomials
6                   Factoring
8                   Functions
6                   Systems of Linear Equations
4                   Linear equations and linear inequalities
8                   Assessments / Final Exam
42

```
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