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

Grading Criteria:       Letter grade or Pass/No Pass.

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.
                               Identify quadratic functions.
                               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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