I. General Information

1. Course Title:
Math Pathways

2. Course Prefix & Number:
MATH 0810

3. Course Credits and Contact Hours:

Credits: 3

Lecture Hours: 3

Lab Hours: 0

4. Course Description:

5. Placement Tests Required:

6. Prerequisite Courses:

7. Other Prerequisites
or MATH 0800 Fundamentals of Mathematics or MATH 0790 Beginning Algebra

9. Co-requisite Courses:

II. Transfer and Articulation

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

American River College (CA) and 21 other, Statway, 3 credits

III. Course Purpose

Program-Applicable Courses – This course is required for the following program(s):

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:

• Review basic properties and definitions with graphing calculators;
• Complete basic sequences, series, and summations problems;
• Use Venn diagrams and set notation;
• Demonstrate an understanding of counting principles;
• Demonstrate an understanding of basic probability rules;
• Use basic statistics with calculator list entry and compute measures of central tendency;
• Solve linear equations and inequalities in one variable;
• Develop tables using linear equations in two variables and graph; and
• Demonstrate an understanding of basic quadratic, logrithmic, and exponential equations and graphs.

V. Topical Outline

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

1. Lecture Sessions

1. Basic properties and definitions
   • Review properties of real numbers
   • Using graphing calculator, review fractions, complex fractions, decimals, square roots, and order of operations with real numbers
   • Simplify numerical expressions
   • Use scientific notation
2. Basic sequences, series, and summation
   • Define sequence and series and explore basic examples
   • Introduce summation notation and apply to finite sequences
3. Venn diagrams and set notation
   • Introduce sets, cardinal numbers, union, and intersection
   • Use Venn diagrams to illustrate examples
4. Counting principles
   • Introduce factorials and the Fundamental Principle of Counting
   • Introduce the permutation and combination formulas 
   • Practice using the formulas on non-application problems and basic applications
5. Probability
   • Introduce terminology (outcome, event, sample space, etc.)
   • Introduce basic rules of probability
6. Basic statistics
   • Introduce “STAT” key on TI-83/84
   • Enter data into lists on calculator
   • Calculate measures of central tendency using calculator
7. Linear equations and inequalities in one variable
   • Simplify algebraic expressions
   • Solve equations, including strictly numerical problems and applications
   • Solve equation applications involving percents
   • Solve literal equations and formulas, including area, volume, and interest formulas
   • Introduce inequality symbols, graphs, and interval notation
   • Solve inequalities, including compound inequalities
8. Linear equations in two variables
   • Find slopes and equations of lines using points on the line
   • Develop tables and graphs for linear equations
   • Graph lines on graphing calculator
   • Create scatter plots of 2-variable data and introduce regression on the TI-83/84
9. Introduce other equations and graphs
   • Quadratic equations and parabolas
   • Exponential equations
   • Logarithmic equations