BC's Indigenous Public Post-Secondary Institute

MATH-053 - Business/Technical Mathematics -

MATH-053 - Business/Technical Mathematics -

Course Details
The British Columbia ABE Advance Level Business/Technical Mathematics course provides the student with practical applications useful in future vocational training, careers, or personal life. MATH 053 can be used as a pre-requisite for MATH 057. Some of the topics include Real numbers, first degree equations and inequalities, graphing, consumer mathematics, finance, data analysis, trigonometry, and algebra.
Part of the:
  • ACADEMIC/CAREER PREPARATION Department
  • Continuing Education Department
  • Developmental Studies Department
  • Available/Required in the following Programs:
  • College Readiness - Qualifying Courses
  • Prerequisites : MATH 050, F and PC Math10, instructor permission, advisor assessed equivalent.
    Course Outline
    Instructors Qualifications: Relevant Bachelor Degree or Equivalent.
    Office Hours: 1.5 per week
    Contact Hours: 90
    Student Evaluation
    Procedure:
    Test/Assignments/Midterm Exams 50-70%, Final Exam 30-50%, Total 100%. Grading procedures follow NVIT policy.
    Learning Outcomes: Operations with Real Numbers
    It is expected that learners should be able to:
  • add, subtract, multiply and divide rational numbers;
  • evaluate powers with rational bases and integer exponents;
  • demonstrate the order of operations with rational numbers;
  • evaluate radicals and distinguish between exact answers and approximate answers;
  • write numbers in scientific notation, convert from scientific notation to decimal notation, and multiply and divide numbers expressed in scientific notation; and
  • use a scientific calculator.


  • First Degree Equations and Inequalities
    It is expected that learners should be able to:
  • solve first degree equations, in one variable, including those involving parentheses;
  • solve formulas for a given variable;
  • solve first degree inequalities in one variable; and
  • solve practical problems using a first degree equation.


  • Equations and Their Graphs
    It is expected that learners should be able to:
  • plot points on a coordinate system;
  • use number pairs to name points on the coordinate system; and
  • determine whether a given point is a solution to an equation in two variables.
  • (Optional) create an appropriate table of values and recognize the graph of the following relations:

  • - y =ax+ b (linear);
    - y = ax2+ bx+ c (quadratic);
    - y = a/x (reciprocal);
    - y = a(bx)1/2 (square root); and
    - y =a(bx) (exponential) where a, b, and c are real numbers.


  • Optional) given the graph of an equation, determine, where appropriate, the following:

  • - x- and y-intercepts; and
    - vertex and slope.

    Optional Learning Outcomes
    Learners must complete a minimum of three of the following:

    Consumer Mathematics
    It is expected that learners should be able to:
  • solve consumer problems involving unit prices, wages earned in various situations, taxation simple and compound problems, and exchange rates;
  • reconcile financial statements;
  • solve budget problems; and
  • solve investment and credit problems involving interest.


  • Finance
    It is expected that learners should be able to:
  • solve problems involving compound interest;
  • find the effective interest rate;
  • solve annuity problems;
  • solve loan and mortgage problems; and
  • determine the finance charge on a loan.


  • Data Analysis
    It is expected that learners should be able to:
  • determine the mean, median, mode and range from a set of data;
  • interpret and/or construct frequency tables, broken line graphs, bar graphs, and stem-plots from a set of data;
  • (optional) find quartiles and the percentile represented by a given data value;>(optional) calculate the standard deviation of a set of data using appropriate technology;
  • (optional) use z-scores to analyze normally distributed data; and
  • design a statistical experiment, collect the data, analyze and communicate the results.


  • Measurement
    It is expected that learners should be able to:
  • solve problems involving composite shapes and solids, with reference to perimeter, area, volume and surface area;
  • calculate maximum and minimum values, using tolerances, for lengths, areas and volumes; and
  • enlarge or reduce a dimensional object according to a specified scale.


  • Geometry
    It is expected that learners should be able to:
  • use any of the following angle properties to determine an angle in a drawing:

  • - vertically opposite angles;
    - corresponding angles, alternate interior angles, and angles on the same side of the transversal;
    - angles on a line;
    - angles on a point;
    - complementary and supplementary angles; and
    - angle sum of a triangle.

  • Classify triangles and quadrilaterals according to their sides and angles.

  • Draw triangles given:

  • - three sides;
    - two sides and an included angle; and
    - two angles and a side.

  • Draw quadrilaterals given various combinations of sides, angles, and diagonals.


  • Trigonometry
    It is expected that learners should be able to:
  • solve right triangles using one or more of:

  • - the sine ratio;
    - the cosine ratio;
    - the tangent ratio;
    - the Pythagorean theorem; and
    - the angle sum property of triangles.

  • Optional) solve triangles using the Law of Sines and/or the Law of Cosines (excluding the ambiguous case).


  • Systems of Equations
    It is expected that learners should be able to:
  • solve systems of linear equations in two variables graphically and/or algebraically;
  • graph linear inequalities in two variables;
  • solve graphically, systems of linear inequalities; and
  • solve practical problems.


  • Trades Option
    It is expected that learners should be able to solve applied problems (as related to a specific trade) using:
  • algebra;
  • geometry;
  • right triangle trigonometry;
  • ratio and proportion; and
  • percentages.


  • Health Option
    It is expected that learners should be able to solve applied problems (as related to the health field) using:
  • ratio and proportion;
  • unit conversion; and
  • percentages.

  • Text and Materials:
  • Allyn J. Washington, Mario F. Triola, Ellena E. Reda. Introduction to Technical Mathematics. Current Edition. New York. Pearson.
  • Other Resources:
    Transfer Credits: For more information visit: www.bctransferguide.ca
    Other Information: Education Council approved February 2013.