# COURSE OUTLINE FOR INTERMEDIATE ALGEBRA

**Course Description:
**MA 120 Intermediate Algebra with Review. 5 hours credit. Prerequisite:

Placement score or MA 060 or its equivalent with a C or better. The student will

be able to interpret mathematical symbols and notation, simplify expressions,

factor polynomials , solve equations (including absolute value , quadratic and

systems of linear equations) perform operations on radical expressions, write

equations of lines and evaluate functions after a review of some topics from basic

algebra. The student will begin to conceptualize abstract ideas.

**Course Relevance:
**The concepts learned in this course will improve the student’s math skills,
leading

to success in subsequent courses. The student’s ability to think analytically will

improve. Discipline, perseverance and the ability to follow directions are

necessary for success, so these skills will also improve. Mathematical literacy

will be increased, leading to informed choices when making decisions in life.

**Required Materials:
**Text: Kaufmann, Jerome E. (2002) Elementary and Intermediate Algebra: A

Combined Approach. (3rd Edition). Brooks/Cole Publishing Co.

**Recommended Materials:
**Student Solutions Manual. Graff. (2002). Student Solutions Manual for

Kaufmann’s Elementary and Intermediate Algebra: A Combined Approach (3rd

Edition). Brooks/Cole Publishing Company.

**Learning Outcomes: **The intention is for the student
to be able to

1. Use problem solving to be successful in future learning

2. Gain confidence in personal mathematical ability

3. Use and interpret mathematical symbols and notation

4. Perform mathematical procedures and techniques correctly

5. Conceptualize abstract ideas

Through the student involvement in this course, they will
develop and

document their achievement of the following PACT skills:

Primary skill developed and documented:

problem solving

• through the solution of multi- step problems

• through the solution of word problems.

Secondary skills (developed but not documented):

self concept

time management

reading

listening

**Assessment Tasks:
**The learning outcomes and primary Learning PACT skill will be demonstrated
by:

1. Common final exam including three open ended multi-step questions

2. Completion of a self assessment inventory

**Course Content:
**Themes - Key recurring concepts that run throughout this course:

• solving equations

• simplifying expressions

• following directions

Issues - Key issues that will be addressed in this course:
areas of conflict that

must be understood in order to achieve the intended outcome:

• recognizing which technique to use

• remembering prerequisite material

Concepts - That must be understood to address the issues:

• notation

• variables

• graphing

• functions

Skills - Actions that are essential to achieve the course
outcomes:

• factoring

• simplifying expressions

• solving equations

• modeling

• graphing

• simplifying radicals and expressions with exponents

• simplifying rational expressions

• determining equations of lines

• operations with complex numbers

**Learning Units:
**I. Basic Concepts of Arithmetic and Algebra

A. numerical and algebraic expressions

B. prime and composite numbers

C. adding, subtracting, multiplying and dividing integers

D. use of properties

II. The Real Numbers

A. rational numbers: multiplication and division

B. rational numbers: addition and subtraction

C. real numbers and algebraic expressions

D. exponents

E. translating from English to Algebra

III. Equations, Inequalities and Problem Solving

A. solving first-degree equations

B. equations and problem solving

C. equations involving parenthesis and fractions

D. inequalities

E. compound inequalities and problem solving

IV. Formulas and Problem Solving

A. ratio, proportion and percent

B. problem solving

C. formulas

D. more problem solving

V. Coordinate Geometry and Linear Systems

A. cartesian coordinate system

B. graphing linear equations

C. substitution method

D. addition method

E. graphing linear inequalities

VI. Exponents and Polynomials

A. addition and subtraction of polynomials

B. multiplying monomials

C. multiplying polynomials

D. dividing by monomials

E. dividing by binomials

F. zero and negative integers as exponents

G. synthetic division

VII. Factoring, Solving Equations and Problem Solving

A. distributive property

B. difference of squares

C. factoring trinomials

D. solving equations

VIII. Rational expressions

A. simplifying rational expressions

B. operations on radical expressions

C. solving radical equations

IX. Exponents and radicals

A. scientific notation

B. roots and radicals

C. simplifying radicals

D. products and quotients of radicals

E. radical equations

F. merging of exponents and roots

X. Quadratic Equations and Inequalities

A. complex numbers

B. quadratic equations

C. completing the square

D. quadratic formula

XI. Coordinate geometry

A. rectangular coordinate system

B. distance and slope

C. writing equations of lines

D. graphing parabolas

XII. Functions

A. relations

B. graphs and applications

C. transformations

D. composition

E. variation

**Learning Activities:
**Classroom: Independent learning activities will be assigned to assist the
student

to achieve the intended learning outcomes. Activities identified in the syllabus,

such as class discussion, lecture, reading, group work or projects will also

contribute to learning.

Online: Online teaching/learning activities such as the
following will assist the

student to achieve course outcomes: posted web pages, threaded discussions,

written assignments, assigned reading, and interaction with instructor through

email and discussion boards.

**Grade Determination:
**Grade determination will be based on assessment tasks and other activities
such

as exams, assignments or attendance that the instructor identifies in the syllabus.

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