Functions Course Syllabus
Function Behaviors & Transformations
Absolute Value Functions
Exponential & Logarithmic Functions
Financial Functions & Applications
Goals of the Functions Course:
By the completion of the Functions Course, students will…
□ Communicate clearly and accurately about a set of data that has a correlation
□ Reason logically about set of data that has a correlation
□ Make connections between real-world data/phenomena and the functions that describe them
□ Create and interpret mathematical models through graphs and symbols
□ Describe the behavior of a function given its graph or symbolic notation
□ Identify basic function families by their shape and symbolic notation
□ Analyze the graph of a function
Major Topics of the Functions Course:
Function Behaviors including increasing & decreasing intervals, maxima & minima, zeros, initial conditions, domain & range, and positive & negative intervals of the function.
Transformations of functions (i.e. horizontal & vertical shifts and vertical stretches)
Linear Functions including average rate of change, linear models, correlation of data, piecewise-defined functions, and linear systems and inequalities.
Exponential & Logarithmic Functions including exponential growth & decay, a discussion of asymptotes, and the definition and properties of logarithms.
Quadratic Functions including their forms, zeros, and initial conditions.
Absolute Value Functions including its form, zeros and applications.
Financial Functions & Applications including forms of interest, future/present values, annuities, and amortization.
Probability Models including permutations, combinations, probability distributions, dependent vs. independent events, and conditional probabilities.
Statistical Models including central tendency, percentiles, quartiles, experimental design, and normal distribution.
Methods of Instruction and Assessment:
Instruction will include explorations, pattern building, visualizations of data/behavior, developing symbolic representations of data, working algebraically with the patterns that have been developed.
Assessments will include traditional assessments like quizzes & tests and non-traditional assessments like projects, presentations, and/or calculator-based labs.
Traditional assessments will generally have a combination of multiple-choice, free-response, and short answer questions. There may be some assessments that use calculators and others that may not. Students will need to do some preparation out-side of class.
Non-traditional assessments will generally have a rubric associated with them. There will be significant portions of class time that will be used to complete them. Ideally, students will have minimal preparation and/or completion outside of class time.