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Mathematics
 MPM1DPRINCIPLES OF MATHEMATICS - Academic This course enables students to develop 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 relationship. They will also explore relationships that emerge from the measurement of three-dimensional objects and two-dimensional shapes. Students will reason mathematically and communicate their thinking as they solve multi-step problems. MFM1PFOUNDATIONS OF MATHEMATICS - Applied This course enables students to develop 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 relationships, and will determine the connections between the representations. They will also explore certain relationships that emerge from the measurement of three-dimensional objects and two-dimensional shapes. Students will consolidate their mathematical skills as they solve problems and communicate their thinking. MPM2DPRINCIPLES OF MATHEMATICS - Academic Prerequisite: MPM1D or MFM1P, 1D strongly recommended . MAT2D background is required for some science tech based college programs) This course enables students to broaden their understanding of relationships and extend their problem-solving and algebraic skills through investigation, the effective use of technology, and abstract reasoning. Students will explore quadratic relationships 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 as they solve multi-step problems and communicate their thinking. MFM2PFOUNDATIONS OF MATHEMATICS - Applied Prerequisite: MFM1P or MPM1D This course enables students to consolidate their understanding of relationships and 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; solve and apply linear systems, using real-life examples; and explore and interpret graphs of quadratic relationships. Students will investigate similar triangles, the trigonometry of right-angled triangles, and the measurement of three-dimensional objects. Students will consolidate their mathematical skills as they solve problems and communicate their thinking. MBF3CFOUNDATIONS FOR COLLEGE MATHEMATICS - College Prep Prerequisite: MFM2P . This course is suitable for students who plan to pursue non-technical college programs that do not require MCT4C or 4U Math for admission. 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, as well as of measurement and geometry; investigate situations involving exponential growth; solve problems involving compound interest; solve financial problems connected with vehicle ownership; and develop their ability to reason by collecting, analysing, and evaluating data involving one and two variables. Students will consolidate their mathematical skills as they solve problems and communicate their thinking. MCF3MFUNCTIONS AND APPLICATION - University/College Prep. Prerequisite: MPM2D Students may take MCF3M or MCR3U but not both.This course leads to grade 12 Math required for admission to some University and College programs. 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 financial and trigonometric applications. Students will reason mathematically and communicate their thinking as they solve multi-step problems. MCR3UFUNCTIONS - University Prep. Prerequisite: MPM2D Students may take MCR3U or MCF3M but not both. This course will cover more content than MCF3M and will be taught at a faster pace. This Gr. 11 course is required for some University programs and is the only course that leads to MGA4U. 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; and develop facility in simplifying polynomial and rational expressions. Students will reason mathematically and communicate their thinking as they solve multi-step problems. MAP4CFOUNDATIONS FOR COLLEGE MATHEMATICS - Coll. Prep. Prerequisite: MBF3C This course is suitable for some but not all college programs. 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; apply measurement in designing and constructing physical models; solve financial problems connected with home ownership; 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. MCB4UADVANCED FUNCTIONS - Univ. Prep. Prerequisite: MCF3M or MCR3U This course is required for most University applied Science programs. College bound students are advised to take MCT4C instead of MCB4U. This course builds on students' experience with functions and their developing understanding of rate of change. Students will investigate and apply the properties of polynomial, exponential, and logarithmic functions; broaden their understanding of the mathematics associated with rates of change; and develop facility with the concepts and skills needed for the study of calculus in a variety of university courses. Students will continue to develop the mathematical processes necessary for success in senior mathematics. MCT4CMATHEMATICS FOR COLLEGE TECHNOLOGY - Coll. Prep. Prep. Prerequisite: MCF3M or MCR3U. This course is required or recommended for entry into most college technology and science based programs. College bound students are advised to take MCT4C i nstead of MCB4U. MCT4C is also a good background course for students planning to take MCB4U. This course enables students to extend their knowledge of functions. Students will investigate and apply properties of polynomial, rational, 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, and vectors. 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. MDM4UMATHEMATICS OF DATA MANAGEMENT - Univ. Prep. Prerequisite: MCF3M or MCR3UThis course broadens students' understanding of mathematics as it relates to managing information. Students will apply methods for organizing large amounts of information; apply counting techniques, probability, and statistics in modelling and solving problems; and carry out a culminating project that integrates the expectations of the course and encourages perseverance and independence. Students planning to pursue university programs in business, the social sciences, or the humanities will find this course of particular interest. MGA4UGEOMETRY AND ALGEBRA - Univ. Prep. Prerequisite: MCR3U This course is required for most University applied Science courses. This course enables students to broaden their understanding of mathematics by examining concepts from a geometric and an algebraic perspective. Students will investigate concepts and solve problems involving vectors in two- and three-dimensional space, and conics. They will apply their reasoning skills to develop an understanding of proof, using deductive, algebraic, and indirect methods. Students will continue to develop the mathematical processes necessary for success in senior mathematics. This course prepares students for university programs in mathematics, engineering, and science. MCT4CMATHEMATICS FOR COLLEGE TECHNOLOGY - Coll. Prep. Prerequisite: MCF3M or MCR3U. This course is required or recommended for entry into most college technology and science based programs. College bound students are advised to take MCT4C instead of MCB4U. MCT4C is also a good background course for students planning to take MCB4U.This course enables students to extend their knowledge of functions. Students will investigate and apply properties of polynomial, rational, 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, and vectors. 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.