Prerequisite
Principles of Mathematics, Grade 10, Academic (MPM2D)
Description
This course introduces the mathematical concept of the function by extending students’ experiences with linear and quadratic relations. Students will investigate properties of discrete and continuous functions, including trigonometric and exponential functions; represent functions numerically, algebraically, and graphically; solve problems involving applications of functions; investigate inverse functions; and develop facility in determining equivalent algebraic expressions. Students will reason mathematically and communicate their thinking as they solve multi-step problems.
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
Functions
16 hours
Transformations of Functions
17 hours
Exponential Functions
14 hours
Trigonometry
15 hours
Trigonometric Functions
15 hours
Discrete Functions
17 hours
Financial Applications
14 hours
Exam
2 hours
Total
110 hours