MBF 3C1 Foundations for College Mathematics
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: MFM 2P1 or MPM 2D1

MCF 3M1 Functions and Applications
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.
PREREQUISITE: MFM 2P1 or MPM 2D1

MCR 3U1 Functions
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: MPM 2D1

MEL 3E1 Mathematics for Work and Everyday Life
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.
PREREQUISITE: MFM 1P1, MPM 1D1 or MAT 2L1 Note: The following course has the same expectations as MEL 3E1 but within a specific area of focus.

i) MEL 3ED This course focuses on applications in agriculture.

MAP 4C1 Foundations for College Mathematics
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: MBF 3C1 or MCF 3M1 or MCR 3U1

MCT 4C1 Mathematics for College Technology
This course enables students to extend their knowledge of functions. 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.
PREREQUISITE: MCF 3M1 or MCR 3U1

MCV 4U1 Calculus and Vectors
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 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.
PREREQUISITE: MHF 4U1

MDM 4U1 Mathematics of Data Management
This course broadens students’ understanding of mathematics as it relates to managing data. Students will apply methods for organizing and analysing large amounts of information; solve problems involving probability and statistics; and carry out a culminating investigation that integrates statistical concepts and skills. Students will also refine their use of the mathematical processes necessary for success in senior mathematics. Students planning to enter university programs in business, the social sciences, and the humanities will find this course of particular interest.
PREREQUISITE: MCF 3M1 or MCR 3U1

MEL 4E1 Mathematics for Work and Everyday Life
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.
PREREQUISITE: MEL 3E1 or MBF 3C1

MHF 4U1 Advanced Functions
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: MCR 3U1 or MCT 4C1

Grade 9	Grade 10	Grade 11	Grade 12
MTH 1W1Mathematics	MFM 2P1 Foundation of Math	MBF 3C1 Foundations for College Math	MAP 4C1 Foundations for College Math
	MPM 2D1 Principles of Math	MCF 3M1 Functions and Applications MCR 3U1 Functions	MCT 4C1 Math for College Technology MDM 4U1 Math of Data Management MHF 4U1 Advanced Functions MCV 4U1 Calculus & Vectors
		MEL 3E1 Math for Work & Everyday Life	MEL 4E1 Math for Work & Everyday Life

Northern Collegiate Institute & Vocational School

Mathematics

Compulsory Courses

Senior Level Focused Courses