I. General Information
1. Course Title:
Fundamentals of Mathematics
2. Course Prefix & Number:
MATH 0800
3. Course Credits and Contact Hours:
Credits: 3
Lecture Hours: 3
4. Course Description:
This course covers topics in algebra and geometry with a focus on problemsolving, understanding mathematical properties being used, justifying steps, and interpreting results. Connections between these two branches of mathematics will be made as students study graphing equations, apply the Pythagorean Theorem, and solve equations involving right triangle trigonometry, among other applications.
5. Placement Tests Required:
Accuplacer (specify test): 
Fundamentals of Math PreCollege Level or 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 0800  Fundamentals of Mathematics
There are no prerequisites for this course.
9. Corequisite Courses:
MATH 0800  Fundamentals of Mathematics
There are no corequisites for this course.
II. Transfer and Articulation
1. Course Equivalency  similar course from other regional institutions:
III. Course Purpose
ProgramApplicable Courses – This course is required for the following program(s):
Fundamentals of Math is a course designed within the framework of the 2007 Minnesota Department of Education K12 Mathematics Standards to meet the needs of students whose placement test scores are not high enough for MATH 0810 Math Pathways or MATH 0820 Intermediate Algebra.n>
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
I. General Information
1. Course Title:
Fundamentals of Mathematics
2. Course Prefix & Number:
MATH 0800
3. Course Credits and Contact Hours:
Credits: 3
Lecture Hours: 3
4. Course Description:
This course covers topics in algebra and geometry with a focus on problemsolving, understanding mathematical properties being used, justifying steps, and interpreting results. Connections between these two branches of mathematics will be made as students study graphing equations, apply the Pythagorean Theorem, and solve equations involving right triangle trigonometry, among other applications.
5. Placement Tests Required:
Accuplacer (specify test): 
Fundamentals of Math PreCollege Level or 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 0800  Fundamentals of Mathematics
There are no prerequisites for this course.
9. Corequisite Courses:
MATH 0800  Fundamentals of Mathematics
There are no corequisites for this course.
II. Transfer and Articulation
1. Course Equivalency  similar course from other regional institutions:
III. Course Purpose
1. ProgramApplicable Courses – This course is required for the following program(s):
Fundamentals of Math is a course designed within the framework of the 2007 Minnesota Department of Education K12 Mathematics Standards to meet the needs of students whose placement test scores are not high enough for MATH 0810 Math Pathways or MATH 0820 Intermediate Algebra.n>
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 
Use formulas to calculate the surface area and volume of 3dimensional figures. 
Apply abstract ideas to concrete situations 
Write and solve equations involving geometric relationships. 
Utilize appropriate technology 
Utilize scientific or graphing calculators appropriately. 
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 fluency with order of operations on real numbers through verbal and symbolic communication;
 Represent fractions, decimals, and percentages in equivalent forms;
 Demonstrate fluency when ordering real numbers;
 Demonstrate an understanding of large and small numbers by interpreting and communicating with different forms (including words, fractions, decimals);
 Describe quantitative relationships and solve problems in a variety of contexts;
 Analyze, represent, and solve authentic problems involving proportional relationships and percentages with appropriate use of units;
 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;
 Express and interpret relationships using equality and inequality symbols;
 Graph inequalities on a number line;
 Solve linear equations;
 Calculate and interpret a rate of change as given by a symbolic, graphical, or numerical representation;
 Apply appropriate formulas to solve problems involving perimeter, area of 2D figures, and volume and surface area of 3D figures;
 Represent measurements with appropriate units;
 Convert among units of measurement;
 Evaluate polynomial and rational expressions at specified points in their domains;
 Add and subtract polynomials;
 Factor common monomial factors from polynomials;
 Use substitution to check the equality of expressions for some particular values of the variables;
 Use algebra to solve geometric problems;
 Represent and solve problems in various contexts using linear equations;
 Graph equations by creating a table of values;
 Identify intercepts, zeros, maximum, and minimum from the graph of a function;
 Translate between graphs, tables, and symbolic representations of linear functions;
 Apply the Pythagorean Theorem and its converse to solve problems;
 Determine the sine, cosine and tangent of an acute angle in a right triangle;
 Apply the trigonometric ratios sine, cosine and tangent to solve problems such as determining lengths and areas in right triangles and in figures that can be decomposed into right triangles; and
 Use calculators, tables or other technologies in connection with the trigonometric ratios to find angle measures in right triangles in various contexts;
V. Topical Outline
Listed below are major areas of content typically covered in this course.
1. Lecture Sessions
 Geometric figures
 Calculate the perimeter, circumference, and area of plane figures
 Represent prisms, cylinders, and pyramids as nets in two dimensions and calculate the area of the nets
 Calculate the surface area and volume of prisms, cylinders,pyramids, cones, and spheres
 Explore and predict the effect of multiplying all sides of a figure by a scale factor on the perimeter, surface area, and volume
 Algebraic expressions
 Apply the order of operations and the associative, distributive, and commutative properties to numerical and algebraic expressions to generate equivalent expressions
 Verify that expressions are equivalent using substitution
 Justify steps for creating equivalent expressions by indicating the properties used
 Evaluate polynomial and rational expressions and expressions containing radicals and absolute values for given values of the variable
 Add and subtract polynomials
 Factor out a common monomial from a polynomial
 Applications of equations and inequalities
 Write and solve linear equations and inequalities given in context
 Use substitution to determine whether solutions are correct
 Interpret solutions in context and assess their reasonableness in context
 Write and solve equations for geometric relationships including angle relationships, polygon properties, and similarity
 Interpreting graphs and identifying graph features
 Create graphs for a variety of equations by creating a table of values and plotting points
 Describe the rate of change of the graph of a function at different places along the graph
 Interpret and draw conclusions from graphs in context
 Given a graph, identify features including intercepts, zeros, and extreme values
 Graph parabolas with technology and identify the vertex, line of symmetry, and intercepts
 Introduction to lines
 Graph linear equations and inequalities using a table of ordered pairs
 Calculate slopes from graphs or equations in slopeintercept form
 Convert linear equations into slopeintercept forms
 Solve realworld problems involving slope
 Graph a linear equation using slope and yintercept
 Right triangle trigonometry and the Pythagorean Theorem
 Write and solve equations using sine, cosine, and tangent, and the Pythagorean Theorem to find missing sides of right triangles
 Use inverse sine, cosine, and tangent to find missing angles in right triangles
 Solve application problems with right triangle trigonometry and the Pythagorean Theorem