I. General Information
1. Course Title:
Pathway to Mathematical Reasoning
2. Course Prefix & Number:
MATH 0842
3. Course Credits and Contact Hours:
Credits: 3
Lecture Hours: 3
Lab Hours: 0
4. Course Description:
This course is closely aligned with
MATH 1442 Mathematical Reasoning, providing prealgebra, elementary algebra, graphing, geometry, and other topics to supplement the set theory, probability, statistics, geometry and finance concepts that are taught in the collegelevel course. Use of the TI84 Plus graphing calculator and/or Excel software will be introduced. This course is designed to be taken prior to or concurrently with
MATH 1442 Mathematical Reasoning.
5. Placement Tests Required:
Accuplacer (specify test): 
Math PreCollege Level or Math Introductory College Level or Algebra College Level or PreCalculus College Level or Calculus College Level 
Score: 

6. Prerequisite Courses:
MATH 0842  Pathway to Mathematical Reasoning
There are no prerequisites for this course.
7. Other Prerequisites
or MATH 0800
9. Corequisite Courses:
MATH 0842  Pathway to Mathematical Reasoning
There are no corequisites for this course.
II. Transfer and Articulation
1. Course Equivalency  similar course from other regional institutions:
Various Minnesota State institutions and others nationwide are developing corequisite developmental courses for liberal arts math courses, using guidance from the Dana Center, which is supported by the American Mathematical Association of TwoYear Colleges (AMATYC) and the Mathematical Association of America (MAA).
III. Course Purpose
ProgramApplicable 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. CollegeWide Outcomes
CollegeWide Outcomes/Competencies 
Students will be able to: 
Analyze and follow a sequence of operations 
Write and justify steps in the process of solving algebraic equations. 
Apply abstract ideas to concrete situations 
Apply appropriate geometric and algebraic formulas to solve applications 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:
 Solve authentic problems by applying two or more mathematical strategies or concepts and using multiple steps;
 Interpret and communicate quantitative information and mathematical concepts using appropriate language for the context;
 Present written or verbal justifications that include appropriate discussion of the mathematics involved;
 Use estimation skills to predict and check answers to mathematical problems in order to determine reasonableness of solutions;
 Make sense of problems, develop strategies to find solutions, and persevere in solving them;
 Read and interpret authentic texts containing quantitative information;
 Use technology when appropriate for a given context;
 Demonstrate an understanding of large and small numbers by interpreting and communicating with different forms (including words, fractions, decimals, standard notation, and scientific notation);
 Describe quantitative relationships and solve problems in a variety of contexts;
 Read, interpret, and make reasoned conclusions about data that is summarized in a table or a graphical display
 Use the Cartesian coordinate system to graph points and equations;
 Use and interpret variables as unknowns, in equations, in simplifying expressions, and as quantities that vary;
 Evaluate algebraic expressions for a given value or values;
 Model and solve applied problems involving both linear and nonlinear relationships;
 Express and interpret relationships using equality and inequality symbols;
 Graph inequalities on a number line;
 Recognize when a linear model is appropriate;
 Solve linear equations;
 Apply linear models to solve problems using tables, graphs, words and/or equations; and
 Calculate and interpret a rate of change as given by a symbolic, graphical, or numerical representation.
V. Topical Outline
Listed below are major areas of content typically covered in this course.
1. Lecture Sessions
 Preparation for, and practice of Set Theory
 Set terminology
 Physical examples
 Basic Venn diagrams
 Solving linear equations using the addition property of equality
 Preparation for, and practice of Probability
 Probability terminology
 Identification of outcomes of a probability experiment
 Equivalent fractions, decimals, and percents
 Number sense (relative size), estimation
 Number sense (order of decimals)
 Evaluating algebraic expressions
 Solving linear equations
 Reading tables and graphs
 Fraction multiplication, addition
 Preparation for, and practice of Statistics
 Reading skills (Statistics terminology, recognizing bias or error, reading graphs)
 Number sense (sorting data, reading graphs)
 Evaluating algebraic expressions (order of operations)
 Calculator or computer software statistics applications
 Graphing paired data in scatter plots by hand and with technology
 Graph inequalities on a number line (solutions to statistical applications)
 Preparation for, and practice of Geometry
 Evaluating algebraic expressions, including exponents and radicals
 Measurement of angles (protractors) and lengths (rulers)
 Handson practice with prisms, spheres, and cylinders
 Equivalent fractions, solving proportions
 Sketching right triangles for trigonometric applications
 Preparation for, and practice of Finance
 Equivalent fractions, decimals, and percents
 Graph linear equations in two variables (simple interest)
 Graph exponential equations (compound interest)
 Solving formulas for a variable
 Evaluating algebraic expressions
 Reading applications for understanding
 Understanding spreadsheets
I. General Information
1. Course Title:
Pathway to Mathematical Reasoning
2. Course Prefix & Number:
MATH 0842
3. Course Credits and Contact Hours:
Credits: 3
Lecture Hours: 3
Lab Hours: 0
4. Course Description:
This course is closely aligned with
MATH 1442 Mathematical Reasoning, providing prealgebra, elementary algebra, graphing, geometry, and other topics to supplement the set theory, probability, statistics, geometry and finance concepts that are taught in the collegelevel course. Use of the TI84 Plus graphing calculator and/or Excel software will be introduced. This course is designed to be taken prior to or concurrently with
MATH 1442 Mathematical Reasoning.
5. Placement Tests Required:
Accuplacer (specify test): 
Math PreCollege Level or Math Introductory College Level or Algebra College Level or PreCalculus College Level or Calculus College Level 
Score: 

6. Prerequisite Courses:
MATH 0842  Pathway to Mathematical Reasoning
There are no prerequisites for this course.
7. Other Prerequisites
or MATH 0800
9. Corequisite Courses:
MATH 0842  Pathway to Mathematical Reasoning
There are no corequisites for this course.
II. Transfer and Articulation
1. Course Equivalency  similar course from other regional institutions:
Various Minnesota State institutions and others nationwide are developing corequisite developmental courses for liberal arts math courses, using guidance from the Dana Center, which is supported by the American Mathematical Association of TwoYear Colleges (AMATYC) and the Mathematical Association of America (MAA).
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 and justify steps in the process of solving algebraic equations. 
Apply abstract ideas to concrete situations 
Apply appropriate geometric and algebraic formulas to solve applications 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:
 Solve authentic problems by applying two or more mathematical strategies or concepts and using multiple steps;
 Interpret and communicate quantitative information and mathematical concepts using appropriate language for the context;
 Present written or verbal justifications that include appropriate discussion of the mathematics involved;
 Use estimation skills to predict and check answers to mathematical problems in order to determine reasonableness of solutions;
 Make sense of problems, develop strategies to find solutions, and persevere in solving them;
 Read and interpret authentic texts containing quantitative information;
 Use technology when appropriate for a given context;
 Demonstrate an understanding of large and small numbers by interpreting and communicating with different forms (including words, fractions, decimals, standard notation, and scientific notation);
 Describe quantitative relationships and solve problems in a variety of contexts;
 Read, interpret, and make reasoned conclusions about data that is summarized in a table or a graphical display
 Use the Cartesian coordinate system to graph points and equations;
 Use and interpret variables as unknowns, in equations, in simplifying expressions, and as quantities that vary;
 Evaluate algebraic expressions for a given value or values;
 Model and solve applied problems involving both linear and nonlinear relationships;
 Express and interpret relationships using equality and inequality symbols;
 Graph inequalities on a number line;
 Recognize when a linear model is appropriate;
 Solve linear equations;
 Apply linear models to solve problems using tables, graphs, words and/or equations; and
 Calculate and interpret a rate of change as given by a symbolic, graphical, or numerical representation.
V. Topical Outline
Listed below are major areas of content typically covered in this course.
1. Lecture Sessions
 Preparation for, and practice of Set Theory
 Set terminology
 Physical examples
 Basic Venn diagrams
 Solving linear equations using the addition property of equality
 Preparation for, and practice of Probability
 Probability terminology
 Identification of outcomes of a probability experiment
 Equivalent fractions, decimals, and percents
 Number sense (relative size), estimation
 Number sense (order of decimals)
 Evaluating algebraic expressions
 Solving linear equations
 Reading tables and graphs
 Fraction multiplication, addition
 Preparation for, and practice of Statistics
 Reading skills (Statistics terminology, recognizing bias or error, reading graphs)
 Number sense (sorting data, reading graphs)
 Evaluating algebraic expressions (order of operations)
 Calculator or computer software statistics applications
 Graphing paired data in scatter plots by hand and with technology
 Graph inequalities on a number line (solutions to statistical applications)
 Preparation for, and practice of Geometry
 Evaluating algebraic expressions, including exponents and radicals
 Measurement of angles (protractors) and lengths (rulers)
 Handson practice with prisms, spheres, and cylinders
 Equivalent fractions, solving proportions
 Sketching right triangles for trigonometric applications
 Preparation for, and practice of Finance
 Equivalent fractions, decimals, and percents
 Graph linear equations in two variables (simple interest)
 Graph exponential equations (compound interest)
 Solving formulas for a variable
 Evaluating algebraic expressions
 Reading applications for understanding
 Understanding spreadsheets