Prerequisite
Functions, Grade 11, University Preparation (MCR3U) or Mathematics for College Technology, Grade 12, College Preparation (MCR4C)
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.
TEACHING AND LEARNING STRATEGIES
Along with some of the strategies noted in the assessment for, as, and of learning charts below, strategies will include (but not be limited to):
- Demonstrations
- Structured discussion
- Real-world problem solving
- Socratic teaching
- YouTube video support (eg. Khan Academy)
- Student-specific tutorials and one-on-one help
- Peer teaching and support
- Math talk
- Critical pedagogies
OUTLINE OF COURSE CONTENT
Polynomial Functions
15 hours
Polynomial Equations and Inequalities
15 hours
Rational Functions
13 hours
Trigonometry
13 hours
Trigonometric Functions
13 hours
Exponential and Logarithmic Functions
13 hours
Tools and Strategies for Solving Exponential and Logarithmic Equations
13 hours
Combining Functions
13 hours
Exam
2 hours
Total
110 hours
