We will be using the new curriculum, which was finalized this year. The Big Ideas are
Using inverses is the foundation of solving equations and can be extended to relationships between functions.
Understanding the characteristics of families of functions allows us to model and understand relationships and to build connections between classes of functions.
Transformations of shapes extend to functions and relations in all of their representations.
Textbook: McAskill et al., Pre-Calculus 12, McGraw-Hill Ryerson, 2012.
Assessment will be based on unit tests, homework, quizzes, and a final exam.
Assignments 15%
Unit Tests and Quizzes 70%
Final Exam 15%
Assignments will be marked by the student and handed in. Answer keys will be provided.
Quizzes will fall throughout the course units.
Unit Tests will occur at the end of each unit.
The final exam will take place in the exam period.
transformations of functions and relations
of graphs and equations of parent functions and relations (e.g., absolute value, radical, reciprocal, conics, exponential, logarithmic, trigonometric)
vertical and horizontal translations, stretches, and reflections
inverses: graphs and equations
extension:
recognizing composed functions (e.g., y =)
operations on functions
exponential functions and equations
graphing, including transformations
solving equations with same base and with different bases, including base e
solving problems in situational contexts
geometric sequences and series
common ratio, first term, general term
geometric sequences connecting to exponential functions
infinite geometric series
sigma notation
logarithms: operations, functions, and equations
applying laws of logarithms
evaluating with different bases
using common and natural logarithms
exploring inverse of exponential
graphing, including transformations
solving equations with same base and with different bases
solving problems in situational contexts
polynomial functions and equations
factoring, including the factor theorem and the remainder theorem
graphing and the characteristics of a graph (e.g., degree, extrema, zeros, end-behaviour)
solving equations algebraically and graphically
rational functions
characteristics of graphs, including asymptotes, intercepts, point discontinuities, domain, end-behaviour
trigonometry: functions, equations, and identities
examining angles in standard position in both radians and degrees
exploring unit circle, reference and coterminal angles, special angles
graphing primary trigonometric functions, including transformations and characteristics
solving first- and second-degree equations (over restricted domains and all real numbers)
solving problems in situational contexts
using identities to reduce complexity in expressions and solve equations (e.g., Pythagorean, quotient, double angle, reciprocal, sum and difference)