Mathematics |

Foundations of Mathematics (Applied) | MFM1P1 |

This course enables students to develop an understanding of mathematical concepts related to introductory algebra, proportional reasoning, and measurement and geometry through investigation, the effective use of technology, and hands-on activities. Students will investigate real-life examples to develop various representations of linear relations; students will determine the connections between the representations. They will also explore certain relationships that emerge from the measurement of three-dimensional figures and two-dimensional shapes. Students will consolidate their mathematical skills as they solve problems and communicate their thinking. |

**CREDIT:** 1 | **TYPE:** Applied | **GRADE:** 9 |

Principles of Mathematics (Academic) | MPM1D1 |

This course enables students to develop an understanding of mathematical concepts related to algebra, analytic geometry, and measurement and geometry through investigation, the effective use of technology, and abstract reasoning. Students will investigate relationships, which they will then generalize as equations of lines, and will determine the connections between different representations of a linear relation. They will also explore relationships that emerge from the measurement of three-dimensional figures and two-dimensional shapes. Students will reason mathematically and communicate their thinking as they solve multi-step problems. |

**CREDIT:** 1 | **TYPE:** Academic | **GRADE:** 9 |

Foundations of Mathematics (Applied) | MFM2P1 |

This course enables students to consolidate their understanding of linear relations and to extend their problem-solving and algebraic skills through investigation, the effective use of technology, and hands-on activities. Students will develop and graph equations in analytic geometry; will solve and apply linear systems, using real-life examples; and will explore and interpret graphs of quadratic relations. Students will investigate similar triangles, the trigonometry of right triangles, and the measurement of three-dimensional figures. Students will consolidate their mathematical skills as they solve problems and communicate their thinking. |

**CREDIT:** 1 | **TYPE:** Applied | **GRADE:** 10 |

**PREREQUISITE:** MFM1P1 - Foundations of Mathematics (Applied) **or** MPM1D1 - Principles of Mathematics (Academic) |

Principles of Mathematics (Academic) | MPM2D1 |

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

**COURSE NOTE:** If your prerequisite is MFM1P1 (Applied Math), you will be required to exhibit competency in that course in order to register for this course. Please speak with a Guidance counsellor. |

**CREDIT:** 1 | **TYPE:** Academic | **GRADE:** 10 |

**PREREQUISITE:** MPM1D1 - Principles of Mathematics (Academic) |

Foundations for College Mathematics | MBF3C1 |

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; will investigate situations involving exponential growth; will solve problems involving compound interest; will solve financial problems connected with vehicle ownership; will develop their ability to reason by collecting, analysing, and evaluating data involving one variable; will connect probability and statistics; and will solve problems in geometry and trigonometry. Students will consolidate their mathematical skills as they solve problems and communicate their thinking. |

**CREDIT:** 1 | **TYPE:** College | **GRADE:** 11 |

**PREREQUISITE:** MFM2P1 - Foundations of Mathematics (Applied) **or** MPM2D1 - Principles of Mathematics (Academic) |

Functions and Applications | MCF3M1 |

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. Taking this course does not preclude a student from selecting MCR3U1 upon successful completion of MCF3M1. |

**COURSE NOTE:** Students with the MFM2P1 pre-requisite would need to have developed, and successfully applied, a strong foundation of the math skills and concepts in order to be adequately prepared for the demands of this 3M course.
This course is a pre-requisite for MDM4U1. |

**CREDIT:** 1 | **TYPE:** University/College | **GRADE:** 11 |

**PREREQUISITE:** MPM2D1 - Principles of Mathematics (Academic) **or** MFM2P1 - Foundations of Mathematics (Applied) |

Functions | MCR3U1 |

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; will represent functions numerically, algebraically, and graphically; will solve problems involving applications of functions; will investigate inverse functions; and will develop facility in determining equivalent algebraic expressions. Students will reason mathematically and will communicate their thinking as they solve multi-step problems. |

**COURSE NOTE:** Students who were challenged to demonstrate a strong foundation in the 2D course are encouraged to consider first taking the 3M course before this 3U course.
This course is a pre-requisite for MDM4U1, MHF4U1 and MCV4U1. |

**CREDIT:** 1 | **TYPE:** University | **GRADE:** 11 |

**PREREQUISITE:** MPM2D1 - Principles of Mathematics (Academic) |

Mathematics for Work and Everyday Life | MEL3E1 |

This course enables students to broaden their understanding of mathematics as it is applied in the workplace and daily life. Students will solve problems associated with earning money, paying taxes, and making purchases; apply calculations of simple and compound interest in saving, investing, and borrowing; and calculate the costs of transportation and travel in a variety of situations. Students will consolidate their mathematical skills as they solve problems and communicate their thinking. |

**CREDIT:** 1 | **TYPE:** Workplace | **GRADE:** 11 |

**PREREQUISITE:** MPM1D1 - Principles of Mathematics (Academic) **or** MFM1P1 - Foundations of Mathematics (Applied) |

Foundations for College Mathematics | MAP4C1 |

This course enables students to extend, and to broaden, their mathematical knowledge from MBF3C1.
This course is ideal for students whose post-secondary college program may be related to the field of arts, social science, humanities, and other non-technical fields of study.
This course enables students to broaden their understanding of real-world applications of mathematics. Students will analyze data using statistical methods; will solve problems involving applications of geometry and trigonometry; will solve financial problems connected with annuities, budgets, and renting or owning accommodation; will simplify expressions; and will solve equations. Students will reason mathematically and will communicate their thinking as they solve multi-step problems. |

**CREDIT:** 1 | **TYPE:** College | **GRADE:** 12 |

**PREREQUISITE:** MBF3C1 - Foundations for College Mathematics **or** MCR3U1 - Functions **or** MCF3M1 - Functions and Applications |

Mathematics for College Technology | MCT4C1 |

This course enables students to extend, and to broaden, their knowledge of functions as first seen in MCF3M1 or MCR3U1.
This course is an excellent preparation for MHF4U1.
This course is ideal for students whose post-secondary college program may be related to the field of science, technology, or math (STEM).
Students will investigate and apply properties of polynomial, exponential, and trigonometric functions; continue to represent functions numerically, graphically, and algebraically; develop facility in simplifying expressions and solving equations; and solve problems that address applications of algebra, trigonometry, vectors, and geometry. Students will reason mathematically and communicate their thinking as they solve multi-step problems. This course prepares students for a variety of college technology programs. |

**CREDIT:** 1 | **TYPE:** College | **GRADE:** 12 |

**PREREQUISITE:** MCR3U1 - Functions **or** MCF3M1 - Functions and Applications |

Calculus and Vectors | MCV4U1 |

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; will broaden their understanding of rates of change to include the derivatives of polynomial, sinusoidal, exponential, rational, and radical functions; and will 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. |

**COURSE NOTE:** The MHF4U1 pre-requisite course can be taken in advance of, or simultaneously with, MCV4U1. |

**CREDIT:** 1 | **TYPE:** University | **GRADE:** 12 |

**PREREQUISITE:** MHF4U1 - Advanced Functions |

Mathematics of Data Management | MDM4U1 |

Data is everywhere. The understanding of probability and statistics is a key skill in today's high information society. In business studies, the social sciences and even the humanities, the analysis of data has become increasingly important. In this course students will apply methods for organizing and analysing large amounts of information; will solve problems involving probability and statistics; and will carry out a culminating investigation that integrates statistical concepts and skills. Students will also refine their use mathematical processes necessary for success in senior Mathematics. |

**CREDIT:** 1 | **TYPE:** University | **GRADE:** 12 |

**PREREQUISITE:** MCR3U1 - Functions **or** MCF3M1 - Functions and Applications |

Mathematics for Work and Everyday Life | MEL4E1 |

This course enables students to broaden their understanding of mathematics as it is applied in the workplace and daily life. Students will investigate questions involving the use of statistics; apply the concept of probability to solve problems involving familiar situations; investigate accommodation costs, create household budgets, and prepare a personal income tax return; use proportional reasoning; estimate and measure; and apply geometric concepts to create designs. Students will consolidate their mathematical skills as they solve problems and communicate their thinking. |

**CREDIT:** 1 | **TYPE:** Workplace | **GRADE:** 12 |

**PREREQUISITE:** MEL3E1 - Mathematics for Work and Everyday Life |

Advanced Functions | MHF4U1 |

This course extends students’ experience with functions. Students will investigate the properties of polynomial, rational, logarithmic, and trigonometric functions; will develop techniques for combining functions; will broaden their understanding of rates of change; and will 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. |

**CREDIT:** 1 | **TYPE:** University | **GRADE:** 12 |

**PREREQUISITE:** MCR3U1 - Functions |