MGF1100 - Math Readiness

Topical Outline with Specific Course Objectives

  1. Study Strategies and Techniques
    1. Develop critical thinking skills and techniques to become problem-solvers and logical thinkers.
    2. Use number sense to determine if a proposed answer to a mathematics problem is appropriate in that context.
    3. Check that a proposed answer to a problem is correct.
    4. Take class notes in an efficient manner.
  2. Arithmetic
    1. Demonstrate an understanding of which numbers are in the natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers.
    2. Round numbers to the specified place.
    3. Demonstrate understanding of the relationship between fractions, decimals, and percentages.
      1. Convert fractions to decimals and percentages.
      2. Convert decimals to percentage and fractions.
      3. Convert percentages to decimals and fractions.
    4. Correctly perform the following operations with signed real numbers.
      1. Addition
      2. Subtraction
      3. Multiplication
      4. Division
      5. Use whole number exponents
      6. Any combination of the above operations
      7. Extra focus on arithmetic with fractions
    5. Demonstrate appropriate use of order of operations in the following areas.
      1. Solving linear equations
      2. Arithmetic with signed numbers
      3. Simplifying algebraic expressions
      4. Graph inequalities on a number line.
  3. Linear Patterns and Their Connection to a Graph
    1. Find a pattern in a given table and fill in blanks in a table as well as write a formula representing the relation in the table.
    2. Plot points given in a table on the cartesian plane. Draw a smooth curve through those points.
    3. Select reasonable input values for a formula and calculate their output values.
  4. Linear Functions and Equations
    1. Distinguish between algebraic expressions and equations.
    2. Simplify algebraic expressions by combining like terms.
    3. Determine if an equation is linear.
    4. Calculate the slope of a linear equation in two variables.
      1. Including horizontal and vertical lines
      2. Solve linear equations in one variable.
    5. Graph linear equations (diagonal, horizontal, and vertical) in two variables on the cartesian plane in the following ways.
      1. Plotting points
      2. Plotting the intercepts
      3. Plotting by using a point and the slope
    6. Find an equation of a line given a graph.
    7. Make connections between the parameters of a function and the behavior of the function.
    8. Recognize that a variety of problem situations can be modeled by the same type of function.
    9. Apply skills to word problems involving linear equations.
  5. Linear Inequalities in Two Variables
    1. Graph a linear inequality on the cartesian plane.
    2. Connect the solution set of a linear inequality with the graph of the linear inequality.
  6. Systems of Linear Equations and their Graphs
    1. Recognize the three cases for systems of two linear equations in two variables.
    2. Connect the solution set of a system of two linear equations in two variables with the graphs of the two equations.
    3. Solve a system of two linear equations in two variables using a graph.

Department Policies

  • NO Calculators allowed
  • Comprehensive Common Final
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