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:
This course will review several prealgebra topics and introduce topics from elementary algebra, set theory, counting, probability, and basic statistics. Use of the TI84 Plus graphing calculator will be emphasized in all topic areas. Successful completion of this course will prepare the student for
MATH 1441 Concepts of Math and
MATH 1460 Introduction to Statistics.
5. Placement Tests Required:
Accuplacer (specify test): 
Arithmetic 
Score: 
65 
Other (specify test): 
Accuplacer Elementary Algebra 
Score: 
52

6. Prerequisite Courses:
MATH 0810  Math Pathways
Applies to all requirements
Accuplacer Arithmetic score of 65 or greater, or Accuplacer Elementary Algebra score of 52 or greater, or MATH 0800 or MATH 0790
7. Other Prerequisites
or MATH 0800 Fundamentals of Mathematics
or MATH 0790 Beginning Algebra
9. Corequisite Courses:
MATH 0810  Math Pathways
There are no corequisites for this course.
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
1. ProgramApplicable Courses – This course is required for the following program(s):
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 
Write out each required step in the algebraic process of solving equations. 
Apply abstract ideas to concrete situations 
Complete application problems. 
Utilize appropriate technology 
Use a graphing calculator and determine when the technology is appropriate to use. 
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
 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
 Basic sequences, series, and summation
 Define sequence and series and explore basic examples
 Introduce summation notation and apply to finite sequences
 Venn diagrams and set notation
 Introduce sets, cardinal numbers, union, and intersection
 Use Venn diagrams to illustrate examples
 Counting principles
 Introduce factorials and the Fundamental Principle of Counting
 Introduce the permutation and combination formulas
 Practice using the formulas on nonapplication problems and basic applications
 Probability
 Introduce terminology (outcome, event, sample space, etc.)
 Introduce basic rules of probability
 Basic statistics
 Introduce “STAT” key on TI83/84
 Enter data into lists on calculator
 Calculate measures of central tendency using calculator
 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
 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 2variable data and introduce regression on the TI83/84
 Introduce other equations and graphs
 Quadratic equations and parabolas
 Exponential equations
 Logarithmic equations
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:
This course will review several prealgebra topics and introduce topics from elementary algebra, set theory, counting, probability, and basic statistics. Use of the TI84 Plus graphing calculator will be emphasized in all topic areas. Successful completion of this course will prepare the student for
MATH 1441 Concepts of Math and
MATH 1460 Introduction to Statistics.
5. Placement Tests Required:
Accuplacer (specify test): 
Arithmetic 
Score: 
65 
Other (specify test): 
Accuplacer Elementary Algebra 
Score: 
52

6. Prerequisite Courses:
MATH 0810  Math Pathways
Applies to all requirements
Accuplacer Arithmetic score of 65 or greater, or Accuplacer Elementary Algebra score of 52 or greater, or MATH 0800 or MATH 0790
7. Other Prerequisites
or MATH 0800 Fundamentals of Mathematics
or MATH 0790 Beginning Algebra
9. Corequisite Courses:
MATH 0810  Math Pathways
There are no corequisites for this course.
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
1. ProgramApplicable Courses – This course is required for the following program(s):
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 
Write out each required step in the algebraic process of solving equations. 
Apply abstract ideas to concrete situations 
Complete application problems. 
Utilize appropriate technology 
Use a graphing calculator and determine when the technology is appropriate to use. 
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
 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
 Basic sequences, series, and summation
 Define sequence and series and explore basic examples
 Introduce summation notation and apply to finite sequences
 Venn diagrams and set notation
 Introduce sets, cardinal numbers, union, and intersection
 Use Venn diagrams to illustrate examples
 Counting principles
 Introduce factorials and the Fundamental Principle of Counting
 Introduce the permutation and combination formulas
 Practice using the formulas on nonapplication problems and basic applications
 Probability
 Introduce terminology (outcome, event, sample space, etc.)
 Introduce basic rules of probability
 Basic statistics
 Introduce “STAT” key on TI83/84
 Enter data into lists on calculator
 Calculate measures of central tendency using calculator
 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
 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 2variable data and introduce regression on the TI83/84
 Introduce other equations and graphs
 Quadratic equations and parabolas
 Exponential equations
 Logarithmic equations
VI. Textbook and Supplemental Reading Materials
Textbooks 
Author(s) 
Title(s) 
Publisher(s) 
Edition/Date(s) 
Blitzer 
Thinking Mathematically 


Miller et al. 
Mathematical Ideas 


Pirnot 
Mathematics All Around 

