I. General Information
1. Course Title:
Pre-College Math
2. Course Prefix & Number:
MATH 0587
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 0587 - Pre-College Math
There are no prerequisites for this course.
9. Co-requisite Courses:
MATH 0587 - Pre-College 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
|
IV. Learning Outcomes
1. College-Wide Outcomes
| College-Wide 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:
Pre-College Math
2. Course Prefix & Number:
MATH 0587
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 0587 - Pre-College Math
There are no prerequisites for this course.
9. Co-requisite Courses:
MATH 0587 - Pre-College 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
IV. Learning Outcomes
1. College-Wide Outcomes
| College-Wide 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