Prerequisite
Advanced Functions, Grade 12, University Preparation (MHF4U)
Description
This course builds on students’ previous experience with functions and their developing understanding of rates of change. Students will solve problems involving geometric and algebraic representations of vectors and representations of lines and planes in three-dimensional space; broaden their understanding of rates of change to include the derivatives of polynomial, sinusoidal, exponential, rational, and radical functions; and apply these concepts and skills to the modelling of real-world relationships. Students will also refine their use of the mathematical processes necessary for success in senior mathematics. This course is intended for students who choose to pursue careers in fields such as science, engineering, economics, and some areas of business, including those students who will be required to take a university-level calculus, linear algebra, or physics course.
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
Rates of Change
12 hours
Derivatives
14 hours
Curve Sketching
14 hours
Derivatives of Sinusoidal Functions
10 hours
Exponential and Logarithmic Functions
13 hours
Geometric Vectors
15 hours
Cartesian Vectors
15 hours
Lines and Planes
15 hours
Final Examination
2 hours
Total
110 hours
