Mathematics: Advanced Level—Business/Technical
Goal Statement
The goal of Advanced Business/Technical Mathematics is to provide the student with practical applications useful in future vocational training, careers, or personal life.
Learning Outcomes
1. Operations with Real Numbers
It is expected that learners will 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 standard notation, and multiply and divide numbers expressed in scientific notation
- use a scientific calculator
2. First Degree Equations and Inequalities
It is expected that learners will 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
- solve practical problems using a first degree equation
3. Equations and their graphs
It is expected that learners will be able to:
- 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
- (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)½(square root)
- y = a(bx)(exponential) where a, b, c are real numbers
- (optional) given the graph of an equation, determine, where appropriate, the following:
- x– and y-intercepts
- vertex
- slope
Optional Learning Outcomes
Learners must complete a minimum of three of the following:
A. Consumer Mathematics
It is expected that learners will 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
- solve investment and credit problems involving interest
B. Finance
It is expected that learners will be able to:
- solve problems involving compound interest
- find the effective interest rate
- solve annuity problems
- solve loan and mortgage problems
- determine the finance charge on a loan
C. Data Analysis I
It is expected that learners will 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
- design a statistical experiment, collect the data, analyze and communicate the results
D. Data Analysis II
It is expected that learners will be able to:
- 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
E. Measurem