7a. Prerequisite(s): (Course and/or other preparation/experience that is REQUIRED to be completed previous to enrollment in this course.)

Completion of Math. 582 with a grade of "C" or better or placement by the matriculation assessment process

7b. Co-requisite(s):  (Courses and/or other preparation that is REQUIRED to be taken concurrently with this course.)

7c. Advisory: (Minimum preparation RECOMMENDED in order to be successful in this course.  Also known as “Course Advisory”.)

9b. Catalog Description:

Real numbers and their properties, first degree equations and inequalities, graphs of linear equations in two variables, systems of linear equations in two variables, properties of integer exponents, polynomial operations, basic factoring, rational expressions, radical expressions, quadratic equations, and applied problems and problem solving.

10. Student Performance Outcomes: (Outcomes for all credit courses must indicate that students will learn critical thinking and will be able to apply concepts at college level.  Outcomes must be related to items listed in Section 11.)

Through homework assignments, quizzes, exams, projects and classroom discussions, the student will:
1. execute basic operations with real numbers, including positive and negative numbers, fractions, decimals, and numbers with exponents;
2. show equivalency of expressions involving numbers and variables, using properties of equality and the properties of real numbers;
3. translate from written or spoken language phrases and sentences to algebraic phrases and sentences;
4. graph and interpret graphs of linear equations in two variables; identify intercepts, slope of a line, and solution points;
5. graph regions representing the solution to linear inequalities;
6. find equation of a straight line given a graph or information about the line (e.g., given two points, or a point with the slope or parallel/perpendicular properties);
7. solve systems of linear equations in two variables using the graphing method, substitution method, and elimination method;
8. analyze applied problems leading to linear systems of equations and be able to translate the problems into systems of equations to solve;
9. simplify algebraic expressions containing polynomials, simple radical expressions, rational expressions, and integer exponents;
10. translate numbers from standard notation to scientific notation and vice versa;
11. perform basic operations (add, subtract, multiply, and divide) on algebraic expressions containing polynomials, simple radical expressions, rational expressions, and integer exponents;
12. analyze polynomial expressions to determine the best approach to factoring, and recognize non-factorable polynomials;
13. solve linear equations, linear inequalities, linear absolute value equations, simple radical equations, and quadratic equations; represent solutions using number lines when appropriate; and
14. analyze applied problems associated with each type of equation in #13, and be able to translate the problems into algebraic equations to solve. (e.g., calculating and using percents; using geometric properties of area, perimeter, volume, and right triangles; solving business and science applications; and using the distance formula).

11. Course Content Outline: (Provides a comprehensive, sequential outline of the course content, including all major subject matter and the specific body of knowledge covered.)

1. Real Numbers
A. Signed numbers
B. Order of operations
C. Properties of real numbers
2. Solving First Degree Equations and Inequalities
A. Simplifying algebraic expressions
B. Evaluating algebraic expressions given values of the variables
C. Solving linear equations involving one variable
D. Isolating a variable in a linear literal equation
E. Solving word problems that lead to linear equations
F. Solving first degree absolute value equations
G. Solving linear inequalities
3. Graphing
A. Cartesian Coordinate System
B. Slope of a line
C. Graphing linear equations
D. Equations of lines
E. Graphing linear inequalities
4. Systems of Linear Equations in Two Variables
A. The graphing method
B. The substitution method
C. The elimination/addition method
D. Solving applied problems that generate systems of equations in two variables
5. Exponents and Polynomials
A. Simplifying expressions containing exponents
B. Adding and subtracting polynomial expressions
C. Multiplying polynomial expressions
D. Dividing by a monomial
6. Factoring
A. Greatest common factor
B. Difference of squares
C. Grouping
D. Trinomials (AC Method or Trial and Error)
E. Polynomials requiring multiple factoring techniques
F. Prime (non-factorable) polynomials
7. Rational Expressions and Properties of Exponents
A. Simplifying rational expressions
B. Multiplying and dividing rational expressions
C. Properties of integer exponents
D. Scientific Notation
8. Radicals
A. Simplifying radical expressions
B. Adding, subtracting, and multiplying radical expressions
C. Rationalizing the denominator
D. Solving equations containing a single radical expression
E. The distance formula
F. The Pythagorean Theorem
9. Solving Quadratic Equations
A. By Square Root Property
B. By Factoring
C. By Quadratic Formula
D. Solving radical equations that lead to quadratic equations
E. Solving word problems that lead to quadratic equations

12. Typical Assignments: (List types of assignments, including library assignments.)

a. Reading Assignments: (Submit at least 2 examples)

1. Students will read selected topics throughout the course from the textbook.
2. Students will read supplementary handouts on topics and apply the information in completing a homework assignment.

b. Writing, Problem Solving or Performance: (Submit at least 2 examples)

1. Students will complete homework problems from the textbook on topics throughout the course. Such problems may involve computation, sketching graphs and diagrams, solving equations, applying mathematical concepts, or explaining mathematical ideas.
2. Students will work in class to solve application problems. For example, solving mixture problems or business problems involving interest rates.

c. Other (Terms projects, research papers, portfolios, etc.)

SECTION D

SECTION E

SECTION F

SECTION G