# PreCollege Algebra with Arithmetic

**Effective Date:** Summer 2004-2005

**Course Description**

Not for degree credit. Five semester hours will be added to the degree program
of any student

taking this course. Operations with whole numbers, decimals, fractions, signed
numbers;

polynomials; functions and graphs; special products and factoring; rational
expressions; systems

of linear equations; exponents; radicals; equations; applications of equations.
(A grade of AC@ or

better is required to advance to College Algebra.)

**Course Objectives**

Students will:

1. Understand the fundamentals of arithmetic and beginning algebra as presented
in the

topical outline.

2. Develop critical thinking and problem solving skills.

**Procedures to Evaluate these Objectives**

1. In-class problems after concept presentation

2. In-class exams

3. Cumulative final exam

**Use of Results of Evaluation to Improve the Course**

1. Student responses to in-class problems will be used to immediately help
clarify any

misunderstandings and to later adjust the appropriate course material.

2. All exams will be graded and examined to determine areas of teaching which
could use

improvement.

3. All evaluation methods will be used to determine the efficacy of the material

presentation.

**Detailed Topical Outline**

1. Arithmetic Skills

a. Fractions

b. Decimals

c. Percents

d. Integers

e. Real Numbers

f. Order of Operations

2. Exponents

a. Rules of Exponents

b. Scientific Notation

3. Equations and Inequalities

a. Linear Equations

b. Linear Inequalities

c. Absolute Value Equations

4. Applications of Linear Equations

a. Translating English Phrases into Algebraic Expressions

b. Using Equations to Solve Word Problems

5. Polynomial Expressions

a. Using Substitution to Evaluate Expressions

b. Simplifying Polynomial Expressions

c. Operations With Polynomial Expressions

6. Factoring

a. Factoring Out the Greatest Common Factor

b. Factoring Binomials

c. Factoring Trinomials

d. Factoring by Grouping

e. Solving Quadratic Equations by Factoring

7. Rational Expressions and Equations

a. Simplifying Rational Expressions

b. Operations with Rational Expressions

c. Complex Fractions

d. Solving Equations containing Rational Expressions

e. Proportion and Variation

8. Rational Exponents and Radicals

a. Radical Expressions

b. Rational Exponents

c. Simplifying Radicals

d. Operations with Radical Expressions

e. Solving Equations With Radical Expressions

f. Complex Numbers

9. Solving Quadratic Equations by Using the Quadratic Formula

10. Graphing and Functions

a. Rectangular Coordinate System

b. Graphing Linear Equations

c. Slope of a Line

d. Writing Equations of Lines

e. Functions and Functional Notation

11. System of Equations

a. Solving Systems by Graphing

b. Solving Systems by Substitution

c. Solving Systems by the Addition Method

d. Applications of Systems of Equations