Grade 12 Calculus and Vectors University (MCV 4U1) This course builds on studentsâ€™ 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 threedimensional 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 realworld 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 universitylevel calculus, linear algebra, or physics course.
Prerequisite: Note: Grade 12 Advanced Functions University (MHF 4U1) must be taken prior to or concurrently with Calculus and Vectors.
Grade 12 Advanced Functions University (MHF 4U1) This course extends studentsâ€™ 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: Grade 11 Functions University (MCR 3U1) or Grade 12 Mathematics for College Technology (MCT 4C1)
Grade 12 Mathematics of Data Management University (MDM 4U1) This course broadens studentsâ€™ 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 100 programs in business, the social sciences, and the humanities will find this course of particular interest.
Prerequisite: Grade 11 Functions University (MCR 3U1) or Functions and Applications University/College (MCF 3M1)
Grade 12 Mathematics for College Technology (MCT 4C1) **Offered online only** 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 multistep problems. This course prepares students for a variety of college technology programs.
Prerequisite: Grade 11 Functions and Applications University/College (MCF 3M1) or Functions University (MCR 3U1)
Grade 12 Foundations for College Mathematics (MAP 4C1) This course enables students to broaden their understanding of realworld 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 multistep problems. This course prepares students for college programs in areas such as business, health sciences, and human services, and for certain skilled trades.
Prerequisite: Grade 11 Foundations for College Mathematics (MBF 3C1) or Functions and Applications University/College (MCF 3M1) or Functions University (MCR 3U1)
Grade 12 Mathematics for Workplace and Everyday Life (MEL 4E1) 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: Grade 11 Mathematics (MEL 3E1 or MBF 3C1 or MCF 3M1 or MCR 3U1)
