MATH-053 - Business/Technical Mathematics -
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Course Details
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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.
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Part of the:ACADEMIC/CAREER PREPARATION DepartmentContinuing Education DepartmentDevelopmental Studies Department
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Available/Required in the following Programs:College Readiness - Qualifying Courses
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Prerequisites : MATH-041 , , Foundations and Pre-Cal Math 10, instructor permission, or advisor assessed equivalent
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Course Outline
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Instructors Qualifications:
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Relevant Bachelor's Degree or Equivalent.
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Office Hours:
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1.5 per week
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Contact Hours:
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90
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Student Evaluation
Procedure:
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Test/Assignments/Midterm Exams 50-70%, Final Exam 30-50%, Total 100%.
Grading procedures follow NVIT policy.
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Learning Outcomes:
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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; anduse 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; andsolve 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; anddetermine 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; anddetermine 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; anddesign 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; andenlarge 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; andsolve 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; andpercentages.
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; andpercentages.
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Text and Materials:
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Allyn J. Washington, Mario F. Triola, Ellena E. Reda. Introduction to Technical Mathematics. Current Edition. New York. Pearson.
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Other Resources:
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Transfer Credits:
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For more information visit: www.bctransferguide.ca
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Other Information:
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Education Council approved February 2013.
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