#### MTH1W-Mathematics,Grade 9, De-Streamed

**Course Description**

The vision of this mathematics course is to support all students as they develop healthy and strong identities as mathematics learners and grow to be mathematically skilled, to enhance their ability to use mathematics to make sense of the world around them, and to enable them to make critical decisions while engaged in mathematical thinking. This vision is attained in a mathematics classroom filled with high academic expectations and deep engagement that generates enthusiasm and curiosity – an inclusive classroom where all students receive the highest-quality mathematics instruction and learning opportunities are empowered to interact as confident mathematics learners, and are thereby supported in reaching their full potential.

Throughout the course, students actively participate in the learning of mathematics by making connections to their lived experiences and to real-life applications. They continue to develop a critical consciousness of how socio-cultural structures within systems impact individual experiences and opportunities and shape their identities as mathematics learners.

**Prerequisite/Co-requisite: **None

#### MPM2D -Principles of Mathematics, Grade 10, Academic

**Course Description**

This course enables students to broaden their understanding of relationships and extend their problem-solving and algebraic skills though investigation, the effective use of technology, and abstract reasoning. Students will explore quadratic relations and their applications; solve and apply linear systems; verify properties of geometric figures using analytic geometry, and investigate the trigonometry of right and acute triangles. Students will reason mathematically and communicate their thinking as they solve multi-step problems. 98

**Prerequisite**: Grade 9 Mathematics,
DE-streamed (2021), or Grade 9 Principles of Mathematics, Academic, MPM1D (2005)

#### MCR3U- Functions , Grade 11, University Preparation

**Course 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.

**Prerequisite: **Principles of Mathematics, Grade 10, Academic

** **

#### MCF3M-Functions and Applications, Grade 11 University/College Preparation

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 modeling 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.
**Prerequisite**: Principles of Mathematics, Grade 10, Academic, or Foundations of
Mathematics, Grade 10, Applied

#### MBF3C, Foundations for College Mathematics, Grade 11, College

**Course Description**

This course enables students to broaden their understanding of mathematics as a problem-solving tool in the real world. Students will extend their understanding of quadratic relations; investigate situations involving exponential growth; solve problems involving compound interest; solve financial problems connected with vehicle ownership; develop their ability to reason by collecting, analysing, and evaluating data involving one variable; connect probability and statistics; and solve problems in geometry and trigonometry. Students will consolidate their mathematical skills as they solve problems and communicate their thinking.

**Prerequisite: Foundations of Mathematics, Grade 10, Applied**

#### MHF4U, Advanced Functions , Grade 12, University Preparation

**Course 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.

**Prerequisite**: Functions, Grade 11, University Preparation,
or Mathematics for College Technology, Grade 12, College Preparation

#### MCV4U, Calculus & Vectors , Grade 12, University Preparation

**Course 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 modeling 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.

** Note: **The new Advanced Functions course (MHF4U) must be
taken prior to or concurrently with Calculus and Vectors (MCV4U).

**Prerequisite/Co-requisite: **Advanced
Functions, Grade 12, University Preparation (MHF4U)

#### MDM4U, Data Management , Grade 12, University PreparationGrade 12

**Course Description**

This course builds on student's 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 modeling 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.

**Prerequisite: **Functions,
Grade 11, University Preparation, or Functions and Applications, Grade 11,
University/College Preparation

#### MAP4C-Foundations for College Mathematics, Grade 12

**Course Description**

This course enables students to broaden their understanding of real-world applications of mathematics. Students will analyse data using statistical methods; solve problems involving applications of geometry and trigonometry; solve financial problems connected with annuities, budgets, and renting or owning accommodation; simplify expressions; and solve equations. Students will reason mathematically and communicate their thinking as they solve multi-step problems. This course prepares students for college programs in areas such as business, health sciences, and human services, and for certain skilled trades.

**Prerequisite**: Foundations for College Mathematics, Grade 11, College Preparation, or Functions and Applications, Grade 11, University/College Preparation