MCF3M – Functions and Applications

Overall Curriculum Expectations

A. Quadratic Functions

By the end of this course, students will:

1. Expand, simplify, and factor quadratic expressions.

2. Solve problems involving quadratic equations, including those arising from real-world applications.

3. Demonstrate an understanding of quadratic relations and their properties.

4. Make connections between representations of quadratic relations and solve related problems.

B. Exponential Functions

By the end of this course, students will:

1. Evaluate and compare exponential expressions and solve related problems.

2. Demonstrate an understanding of the properties of exponential functions.

3. Make connections between different representations of exponential functions and solve problems involving exponential growth and decay.

C. Trigonometric Functions

By the end of this course, students will:

1. Demonstrate an understanding of periodic relationships and the basic features of sine functions.

2. Make connections between trigonometric ratios and the sine function.

3. Solve problems using the properties of trigonometric functions, including applications in real-world contexts.

D. Connecting Algebra and Geometry

By the end of this course, students will:

1. Solve problems involving lines and line segments.

2. Use algebraic models to represent and solve geometric problems.

3. Apply coordinate geometry and measurement in problem-solving contexts.

E. Discrete Functions (Optional Unit – if time permits)

By the end of this course, students may:

1. Demonstrate an understanding of arithmetic and geometric sequences and series.

2. Make connections between sequences and functions and use them to solve problems.