I. General Information
1. Course Title:
Math Pathways
2. Course Prefix & Number:
MATH 1505
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 1505  Math Pathways
Applies to all requirements
Accuplacer score of 52 or higher on Elementary Algebra exam or score of 65 or higher on Arithmetic exam, or completion of MATH 058x (module 8) with a grade of B or higher.
7. Other Prerequisites
MATH 058x with a grade of B or higher
9. Corequisite Courses:
MATH 1505  Math Pathways
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 
American River College (CA) and 21 others 
Statway 
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:
 Liberal Arts Elective
 NonTransferrable General Education Course
 Technical Elective
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:
Expected Outcome 
MnTC Goal Area 
Simplify expressions using basic properties and definitions Solve and graph linear equations Solve and graph linear inequalities Solve systems of Linear equations and inequalities 

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 & 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 & parabolas
 Exponential equations
 Logarithmic equations
I. General Information
1. Course Title:
Math Pathways
2. Course Prefix & Number:
MATH 1505
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 1505  Math Pathways
Applies to all requirements
Accuplacer score of 52 or higher on Elementary Algebra exam or score of 65 or higher on Arithmetic exam, or completion of MATH 058x (module 8) with a grade of B or higher.
7. Other Prerequisites
MATH 058x with a grade of B or higher
9. Corequisite Courses:
MATH 1505  Math Pathways
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 
American River College (CA) and 21 others 
Statway 
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:
 Liberal Arts Elective
 NonTransferrable General Education Course
 Technical Elective
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:
Expected Outcome 
MnTC Goal Area 
Simplify expressions using basic properties and definitions Solve and graph linear equations Solve and graph linear inequalities Solve systems of Linear equations and inequalities 

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 & 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 & parabolas
 Exponential equations
 Logarithmic equations