B.C.'s Energy College

Advanced Business/Technical Mathematics is an applied math that covers a variety of areas that will be of benefit in a working career. As this is an Advanced Math, successful completion of this course satisfies the Math component of the B.C.Adult Graduation Diploma. Whether you want to be a teacher, welder, secretary, or a carpenter, math is key to your success in the business world.

Hours: 120 (Lecture Hours: 7.5)

Total Weeks: 16

Prerequisites:

Grade 10 Math or MATH 030 - Intermediate Mathematics or MATH 031 - Intermediate Trades Math

Non-Course Prerequisites:

None

Co-Requisites:

None

Course Content:
This Course Consists of Three Core Chapters:
- Operations with Real Numbers
- First Degree Equations and Inequalities
- Equations and their Graphs

Learners must complete a minimum of four of the following Sections:
- Consumer Mathematics
- Finance
- Data Analysis
- Measurement
- Geometry
- Trigonometry

- System of Equations

Learning Outcomes:
As a result of taking this course, learners will be able to:
Consumer Module
- Add, subtract, multiply and divide rational numbers
- Evaluate powers with rational base and integer exponents
- Demonstrate order of operations
- Write numbers in scientific notation and convert from scientific notation to decimal notation
- Use a scientific calculator
- Solve first degree equations in one variable including those in parentheses
- Solve formulas for a given variable
- Solve first degree inequalities in one variable
- Solve practical problems using a first degree equation
- Plot points on a coordinate system
- Use number pairs to name points on the coordinate system
- Determine whether a given point is a solution to an equation in two variables
- Create an appropriate table of values and recognize the graph of the following; Linear, quadratic, reciprocal, square root, exponential.
- Given the graph of an equation determine where appropriate, the following: X and Y intercepts, vertex, slope
Finance Module
- Solve consumer problems involving unit prices, wages earned in various situations, taxation problems, and exchange rates
- Reconcile financial statements
- Solve budget problems
- Solve investment and credit problems involving simple and compound interest
- Solve problems involving compound interest
- Find the effect interest rate
- Solve annuity problems
- Solve loan and mortgage problems
- Determine the finance charge on a loan
Data Analysis Module
- 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
- Find quartiles and the percentile represented by a given data value
- Calculate the standard deviation of a set of data using appropriate technology
- Use Z scores to analyze normally distributed data
Measurement Module
- 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
- Enlarge or reduce a dimensionable object according to a specified scale
Geometry Module
- Use any of the following angle properties to determine an angle in a drawing:
vertically opposed angles
corresponding angles, alternate interior angles, and angles on the same side of the transversal
angles on a line
angles on a pint
complementary and supplementary angles
angle sum of a triangle
- Classify triangles and quadrilaterals according to their sides and angles
- Draw triangles given: three sides, two sides and a including angle, two angles and a side
- Draw quadrilaterals given various combinations of side angles and diagonals
Trigonometry Module
- Solve right-angle triangles using one or more of :
the sine ratio
the cosine ratio
the tangent ratio
the Pythagorean theorem.
- Solve triangles using the Law of Sines and/or the Law of Cosines
Systems of Equations Modules
- Solve systems of linear equations in two variables graphically and /or algebraically
- Graph linear inequalities in two variables
- Solve graphically, systems of linear equations

- Solve practical problems

Percentage of Individual Work: 100