Following a lecture format, part of the course content will be presented by way of explanation, demonstration and guided practice. Following a seminar format, some content will be presented as situational problems that require individual and group consideration, discussion and resolution.
Module 1 – Review of Basic Algebra [1]
1.1 Simplify algebraic expressions using the fundamental operations, and evaluate algebraic expressions by substitution.
1.2 Simplify and evaluate powers with positive exponents, negative exponents and exponent zero.
1.3 Solve basic equations using addition, subtraction, multiplication and division.
1.4 Solve equations involving algebraic simplification.
1.5 Solve business word problems by creating equations.
Module 2 – Ratio, proportion and percent [1]
2.1 Use ratios to solve allocation problems.
2.2 Use proportions to solve problems involving the equivalence of two ratios.
2.3 Solve problems of increase and decrease.
2.4 Solve a variety of business problems involving proportions and percents.
Module 3 – Linear Systems [2]
3.1 Graph linear equations and linear inequalities in two variables in a set of rectangular coordinates.
3.2 Graph linear systems consisting of two linear relations in two variables.
3.3 Define the slope-intercept form of a linear equation and use it for graphing.
3.4 Solve linear systems consisting of two linear equations in two variables using the method of elimination by addition or subtraction.
3.5 Solve business problems by setting up systems of linear equations in two variables.
3.6 Construct detailed break-even charts.
Module 4 – Commercial Discounts, Markup and Markdown [2]
4.1 Solve problems involving trade discounts, including discount series and equivalent single rates of discount.
4.2 Solve problems involving cash discounts.
4.3 Solve problems involving taxes, duties and exchange.
4.4 Solve problems involving margin based on either cost or selling price.
4.5 Solve pricing problems involving markup, markdown and discounts.
Module 5 – Simple Interest [2]
5.1 Determine the maturity value of interest-bearing notes.
5.2 Determine the present value of promissory notes.
5.3 Compute equivalent values for specified focal dates.
5.4 Discount promissory notes and treasury bills using the simple discount method.
5.5 Compute interest and balances for demand loans and lines of credit.
Module 6 – Compound Interest – Amount and Present Value [2]
6.1 Determine the maturity value of loans involving compound interest.
6.2 Determine the present value of loans involving compound interest.
6.3 Compute periodic, nominal and effective rates of interest.
6.4 Discount long-term promissory notes.
6.5 Solve problems involving equations of value.
6.6 Determine maturity values involving fractional compounding periods.
6.7 Determine discounted values involving fractional compounding periods.
6.8 Determine the number of conversion periods and find equated dates.
Module 7 – Annuities [2]
7.1 Determine the present and future value of ordinary simple annuities.
7.2 Determine the payments, term and interest rate for ordinary simple annuities.
7.3 Determine the present and future value of simple annuities due.
7.4 Determine the payments, term and interest rate for simple annuities due.
7.5 Construct periodic payment amortization schedules.
Module 8 – Amortization [1]
8.1 Determine the amortization and net book value for each year in the life of an asset.
8.2 Construct amortization schedules using averaging methods.
8.3 Construct amortization schedules using sum-of-the-years-digits method.
8.4 Construct amortization schedules using declining balance methods.
The learner has reliably demonstrated the ability to:
- perform arithmetic and algebraic calculation accurately;
- solve a variety of business problems by applying mathematical skills and assessing the results;
- use mathematics as a decision-making and problem-solving tool;
- exhibit a high standard of behaviour with respect to attendance, punctuality, positive attitude and respect for others.
Assignments 15%
Employability Skills 10
Term Tests (3) 45
Final Exam 30
100%
Textbooks and Materials to be Purchased by Students
S.A. Hummelbrunner. Contemporary Business Mathematics with Canadian Applications. Latest Ed. Pearson Education.
Materials: Calculator, any one of: Texas Instruments BA II+ or Texas Instruments BA35 or Hewlett Packard 10B or Sharp EL-733a
English 11 with a grade of “C” or better or equivalent and “C-“ or better in any Mathematics 11 course or DVST 0310.