I. General Information

1. Course Title:
Pre-College Math

2. Course Prefix & Number:
MATH 0586

3. Course Credits and Contact Hours:

Credits: 3

Lecture Hours: 3

Lab Hours: 0

4. Course Description:

This course is a developmental mathematics course. It is divided into modules of study that are required as a prerequisite for college level math courses. This course covers whole numbers, integers, fractions, decimals, ratio and proportions, percent, measurement, algebraic expressions and equations, geometry and statistics. It also includes operations with real numbers, linear equations, linear inequalities, equations of lines, solving and graphing linear and quadratic equations, systems of equations, exponents  and  polynomials. Concluding with radical expressions, and functions.  

5. Placement Tests Required:

6. Prerequisite Courses:

9. Co-requisite Courses:

II. Transfer and Articulation

1. Course Equivalency - similar course from other regional institutions:

III. Course Purpose

Other - If this course is not required in a program or is not part of the MN Transfer Curriculum, it may be used for the purpose(s) listed below:
Developmental Course

IV. Learning Outcomes

1. College-Wide Outcomes

2. Course Specific Outcomes - Students will be able to achieve the following measurable goals upon completion of the course:

V. Topical Outline

Listed below are major areas of content typically covered in this course.

1. Lecture Sessions

1. Whole Numbers
   • Standard Notation
   • Addition, Subtraction, multiplication, division
   • Rounding and estimating
2.  Introduction to Integers and Algebraic expressions
   • Integers and the Number Line
   • Addition, Subtraction, multiplication and division
   • Order of Operation
   • Like terms and perimeter
3.  Fraction Notation: multiplication and Division
   • Multiples and Divisibility
   • Factorizations
   • Fractions and Fraction Notation
   • Multiplication, Simplifying
   • Reciprocals and Division
   • Multiplication Principle
4.  Fraction Notation: Addition, Subtraction and Mixed Numerals
   • Least Common Multiples
   • Addition, Subtraction
   • Solving Equations
   • Mixed Numerals
   • Addition and Subtraction of Mixed Numerals
5.  Decimal Notation
   • Decimal Notation
   • Addition and subtraction
   • Multiplication and Division
   • Estimating
   • Solving Equations
6.  Introduction to Graphing and Statistics
   • Tables and Pictographs
   • Bar graphs and Line graphs
   • Ordered Pairs and Equations with two variables
   • Graphing Linear Equations
   • Means, Medians, and Modes
7.  Ratio and proportion
   • Ratios, rates and unit prices
   • Proportions
   • Geometric applications
8.  Percent Notation
   • Percent notation
   • Solving percent problems
   • Applications of Percent
   • Sales Tax, Commission, and Discount
   • Simple and Compound Interest
9. Geometry and Measurement
   • Perimeter and Area
   • Volume and Capacity
   • Angles and Triangles
   • Square Roots and Pythagorean Theorem
10. Introduction to Real Numbers and Algebraic Expressions
    • Introduction to Algebra
    • The Real Numbers
    • Addition, Subtraction, Multiplication and Division of Real Numbers
    • Properties of Real Numbers
    • Simplifying Expressions: Order of Operations
11. Solving Equations and Inequalities
    • The addition principle
    • The multiplication principle
    • Using the principles together
    • Formulas
12.  Graphs of Linear Equations
    • Introduction to Graphing
    • Graphing Linear Equations
    • Graphing and Intercepts
    • Slope applications
13.  Polynomials: Operations
    • Integers as Exponents
    • Exponents and Scientific Notation
    • Introduction to Polynomials
    • Addition, Subtraction, and Multiplication of Polynomials
    • Special Products
    • Division of Polynomials
14. Polynomials: Factoring
    • Introduction to Factoring
    • Factoring Trinomials
    • Solving Quadratic Equations by factoring
    • Applications of Quadratic Equations
15. Rational Expressions and Equations
    •  Multiplying and Simplifying Rational Expressions
    • Division and Reciprocals
16. Graphs and Functions
    • Functions and Graphs
    • Finding Domain and Range
    • Linear Functions: Graphs and Slope
    • Finding equations of lines
17. Systems of Equations
    • Systems of Equations in Two Variables
    • Solving Systems with graphing, substitution and elimination
18. Inequalities
    • Sets, Inequalities, and Interval Notation
    • Intersection, Unions, and compound Inequalities
    • Absolute Value Equations
    • Systems of Inequalities in Two Variables
19.  Quadratic Equations and Functions
    • Basics of Solving Quadratic Equations
    • The Quadratic Formula