I. General Information
1. Course Title:
PreCollege 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:
Accuplacer (specify test): 
Arithmetic exam 
Score: 
20 
6. Prerequisite Courses:
MATH 0586  PreCollege Math
There are no prerequisites for this course.
9. Corequisite Courses:
MATH 0586  PreCollege Math
There are no corequisites for this course.
II. Transfer and Articulation
1. Course Equivalency  similar course from other regional institutions:
Name of Institution

Course Number and Title

Credits

Math 0100 , Math 0200, Math 0210

Anoka Ramsey CC

3,5,5

Math 0450 , Math 0450, Math 0460

Lake Superior

4,3,3

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. CollegeWide Outcomes
CollegeWide Outcomes/Competencies 
Students will be able to: 
Analyze and follow a sequence of operations 
Analyze and follow a sequence of operations with algebraic equations and expressions. 
Apply abstract ideas to concrete situations 
Apply abstract ideas to concrete situations with linear equations. 
Utilize appropriate technology 
Utilize appropriate use of scientific and graphing calculators. 
2. Course Specific Outcomes  Students will be able to achieve the following measurable goals upon completion of
the course:
Expected Outcome

MnTC Goal Area

Students will be able to demonstrate knowledge and application of
 Whole Numbers
 Integers and Algebraic Expressions
 Fraction Notation and operations
 Decimal Notation and operations
 Graphing algebraic equations
 Ratio and Proportion
 Percent Notation
 Geometry
 Real Numbers and Algebraic expressions
 Solving Equations and Inequalities
 Polynomial operations
 Polynomial factoring
 Rational Expressions and Equations
 Functions and Graphs
 Systems of Equations
 Quadratic Equations and Functions


V. Topical Outline
Listed below are major areas of content typically covered in this course.
1. Lecture Sessions
 Whole Numbers
 Standard Notation
 Addition, Subtraction, multiplication, division
 Rounding and estimating
 Introduction to Integers and Algebraic expressions
 Integers and the Number Line
 Addition, Subtraction, multiplication and division
 Order of Operation
 Like terms and perimeter
 Fraction Notation: multiplication and Division
 Multiples and Divisibility
 Factorizations
 Fractions and Fraction Notation
 Multiplication, Simplifying
 Reciprocals and Division
 Multiplication Principle
 Fraction Notation: Addition, Subtraction and Mixed Numerals
 Least Common Multiples
 Addition, Subtraction
 Solving Equations
 Mixed Numerals
 Addition and Subtraction of Mixed Numerals
 Decimal Notation
 Decimal Notation
 Addition and subtraction
 Multiplication and Division
 Estimating
 Solving Equations
 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
 Ratio and proportion
 Ratios, rates and unit prices
 Proportions
 Geometric applications
 Percent Notation
 Percent notation
 Solving percent problems
 Applications of Percent
 Sales Tax, Commission, and Discount
 Simple and Compound Interest
 Geometry and Measurement
 Perimeter and Area
 Volume and Capacity
 Angles and Triangles
 Square Roots and Pythagorean Theorem
 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
 Solving Equations and Inequalities
 The addition principle
 The multiplication principle
 Using the principles together
 Formulas
 Graphs of Linear Equations
 Introduction to Graphing
 Graphing Linear Equations
 Graphing and Intercepts
 Slope applications
 Polynomials: Operations
 Integers as Exponents
 Exponents and Scientific Notation
 Introduction to Polynomials
 Addition, Subtraction, and Multiplication of Polynomials
 Special Products
 Division of Polynomials
 Polynomials: Factoring
 Introduction to Factoring
 Factoring Trinomials
 Solving Quadratic Equations by factoring
 Applications of Quadratic Equations
 Rational Expressions and Equations
 Multiplying and Simplifying Rational Expressions
 Division and Reciprocals
 Graphs and Functions
 Functions and Graphs
 Finding Domain and Range
 Linear Functions: Graphs and Slope
 Finding equations of lines
 Systems of Equations
 Systems of Equations in Two Variables
 Solving Systems with graphing, substitution and elimination
 Inequalities
 Sets, Inequalities, and Interval Notation
 Intersection, Unions, and compound Inequalities
 Absolute Value Equations
 Systems of Inequalities in Two Variables
 Quadratic Equations and Functions
 Basics of Solving Quadratic Equations
 The Quadratic Formula
I. General Information
1. Course Title:
PreCollege 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:
Accuplacer (specify test): 
Arithmetic exam 
Score: 
20 
6. Prerequisite Courses:
MATH 0586  PreCollege Math
There are no prerequisites for this course.
9. Corequisite Courses:
MATH 0586  PreCollege Math
There are no corequisites for this course.
II. Transfer and Articulation
1. Course Equivalency  similar course from other regional institutions:
Name of Institution

Course Number and Title

Credits

Math 0100 , Math 0200, Math 0210

Anoka Ramsey CC

3,5,5

Math 0450 , Math 0450, Math 0460

Lake Superior

4,3,3

III. Course Purpose
3. Other  If this course does NOT meet criteria for #1 or #2 above, it may be used for the purpose(s) selected below:
Developmental Course
IV. Learning Outcomes
1. CollegeWide Outcomes
CollegeWide Outcomes/Competencies 
Students will be able to: 
Analyze and follow a sequence of operations 
Analyze and follow a sequence of operations with algebraic equations and expressions. 
Apply abstract ideas to concrete situations 
Apply abstract ideas to concrete situations with linear equations. 
Utilize appropriate technology 
Utilize appropriate use of scientific and graphing calculators. 
2. Course Specific Outcomes  Students will be able to achieve the following measurable goals upon completion of
the course:
Expected Outcome

MnTC Goal Area

Students will be able to demonstrate knowledge and application of
 Whole Numbers
 Integers and Algebraic Expressions
 Fraction Notation and operations
 Decimal Notation and operations
 Graphing algebraic equations
 Ratio and Proportion
 Percent Notation
 Geometry
 Real Numbers and Algebraic expressions
 Solving Equations and Inequalities
 Polynomial operations
 Polynomial factoring
 Rational Expressions and Equations
 Functions and Graphs
 Systems of Equations
 Quadratic Equations and Functions


V. Topical Outline
Listed below are major areas of content typically covered in this course.
1. Lecture Sessions
 Whole Numbers
 Standard Notation
 Addition, Subtraction, multiplication, division
 Rounding and estimating
 Introduction to Integers and Algebraic expressions
 Integers and the Number Line
 Addition, Subtraction, multiplication and division
 Order of Operation
 Like terms and perimeter
 Fraction Notation: multiplication and Division
 Multiples and Divisibility
 Factorizations
 Fractions and Fraction Notation
 Multiplication, Simplifying
 Reciprocals and Division
 Multiplication Principle
 Fraction Notation: Addition, Subtraction and Mixed Numerals
 Least Common Multiples
 Addition, Subtraction
 Solving Equations
 Mixed Numerals
 Addition and Subtraction of Mixed Numerals
 Decimal Notation
 Decimal Notation
 Addition and subtraction
 Multiplication and Division
 Estimating
 Solving Equations
 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
 Ratio and proportion
 Ratios, rates and unit prices
 Proportions
 Geometric applications
 Percent Notation
 Percent notation
 Solving percent problems
 Applications of Percent
 Sales Tax, Commission, and Discount
 Simple and Compound Interest
 Geometry and Measurement
 Perimeter and Area
 Volume and Capacity
 Angles and Triangles
 Square Roots and Pythagorean Theorem
 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
 Solving Equations and Inequalities
 The addition principle
 The multiplication principle
 Using the principles together
 Formulas
 Graphs of Linear Equations
 Introduction to Graphing
 Graphing Linear Equations
 Graphing and Intercepts
 Slope applications
 Polynomials: Operations
 Integers as Exponents
 Exponents and Scientific Notation
 Introduction to Polynomials
 Addition, Subtraction, and Multiplication of Polynomials
 Special Products
 Division of Polynomials
 Polynomials: Factoring
 Introduction to Factoring
 Factoring Trinomials
 Solving Quadratic Equations by factoring
 Applications of Quadratic Equations
 Rational Expressions and Equations
 Multiplying and Simplifying Rational Expressions
 Division and Reciprocals
 Graphs and Functions
 Functions and Graphs
 Finding Domain and Range
 Linear Functions: Graphs and Slope
 Finding equations of lines
 Systems of Equations
 Systems of Equations in Two Variables
 Solving Systems with graphing, substitution and elimination
 Inequalities
 Sets, Inequalities, and Interval Notation
 Intersection, Unions, and compound Inequalities
 Absolute Value Equations
 Systems of Inequalities in Two Variables
 Quadratic Equations and Functions
 Basics of Solving Quadratic Equations
 The Quadratic Formula