### Grade 11 Mathematics, University/College Preparation

Course Code:    MCF3M

Prerequisite:    MPM2D or MPM2P

### Course Description

This course introduces basic features of the function by extending students’ experiences with quadratic relations. It focuses on quadratic, trigonometric, and exponential functions and their use in modelling real-world situations. Students will represent functions numerically, graphically, and algebraically; simplify expressions; solve equations; and solve problems relating to applications. Students will reason mathematically and communicate their thinking as they solve multi-step problems.

### Overall Expectations

Please refer to the Ontario Ministry of Education curriculum document for details of Overall and Specific Expectations HERE.

1. Expand and simplify quadratic expressions, solve quadratic equations, and relate the roots of a quadratic equation to the corresponding graph;
2. Demonstrate an understanding of functions, and make connections between the numeric, graphical, and algebraic representations of quadratic functions;
3. Solve problems involving quadratic functions, including problems arising from real-world applications.

Exponential Functions

1. Simplify and evaluate numerical expressions involving exponents, and make connections between the numeric, graphical, and algebraic representations of exponential functions;
2. Identify and represent exponential functions, and solve problems involving exponential functions, including problems arising from real-world applications;
3. Demonstrate an understanding of compound interest and annuities, and solve related problems.

Trigonometric Functions

1. Solve problems involving trigonometry in acute triangles using the sine law and the cosine law, including problems arising from real-world applications;
2. Demonstrate an understanding of periodic relationships and the sine function, and make connections between the numeric, graphical, and algebraic representations of sine functions;
3. Identify and represent sine functions, and solve problems involving sine functions, including problems arising from real-world applications.