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Regiopolis-Notre Dame Catholic High School

Grade 12 University Preparation MHF 4U- Advanced Functions

Ministry of Guideline: Prerequisite: Textbook: Course Description:

This course extends students' experience with functions. Students will investigate the properties of polynomial, rational, logarithmic, and trigonometric functions; develop techniques for combining functions; broaden their understanding of rates of change; and develop facility in applying these concepts and skills. Students will also refine their use of the mathematical processes necessary for success in senior mathematics. This course is intended both for students taking the Calculus and Vectors course as a prerequisite for a university program and for those wishing to consolidate their understanding of mathematics before proceeding to any one of a variety of university programs.

The Ontario Curriculum, Grades 11 and 12, Mathematics 2007 MCR 3U or MCT 4C Advanced Functions 12 (McGraw-Hill Ryerson, 2008)

Course Content: Strand: Exponential and Logarithmic Functions evaluating logarithmic expressions connecting graphs and equations of logarithmic functions solving exponential and logarithmic equations Trigonometric Functions understanding and applying radian measure connecting graphs and equations of trig. functions solving trigonometric equations Polynomial and Rational Functions connecting graphs and equations of polynomial and rational functions solving polynomial and rational equations; solving inequalities Characteristics of Functions understanding rates of change; combining functions using function models to solve problems

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Assessment and Evaluation: The four categories of evaluation: Knowledge/Understanding, Thinking, Application, and Communication will be used. The final grade will be determined using a weighting of 70% for term work and 30% for the final exam.

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MHF4U

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