This chart maps out all the courses in the discipline and shows the links between courses
and the minimum prerequisites for them. It does not attempt to depict all possible
movements from course to course.



Essential Mathematics MAT1L
Grade 9, Essential
This course focuses on the knowledge and skills required to be well prepared for success in the Mathematics Grade 10 Essential course (MAT2LM). It will support students in developing and enhancing strategies that they need to develop mathematical literacy skills and the confidence to use these skills in their day-to-day lives. The areas of Money Sense, Measurement and Proportional Reasoning form the basis of the course content.
Prerequisite: With principal's permission

Foundations of Mathematics MFM1P
Grade 9, 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 relations, and 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.
Prerequisite: None

Principles of Mathematics MPM1D
Grade 9, 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 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 multistep problems.
Prerequisite: None

Mathematics MAT14
Grade 9, Essential
This Grade 9 course focuses on the knowledge and skills required to be well prepared for success in the Mathematics Grade 10 Essential course. It will support students in developing and enhancing strategies that they need to develop mathematical literacy skills and the confidence to use these skills in their day-to-day lives. The areas of Money Sense, Measurement and Proportional Reasoning form the basis of the course content.
Prerequisite: None

Essential Mathematics MAT2L
Grade 10, Essential
This Grade 10 course is designed to allow students to solidify and extend their understanding of, and confidence in using, the concepts developed in MAT1LM so that they are well prepared for success in the Mathematics Grade 11 Workplace Preparation course (MEL3E). In the Grade 10 course, students are asked to demonstrate a greater depth of understanding and level of complexity, in contexts that move them from their immediate personal environment to the larger community.
Prerequisite: With principal's permission

Foundations of Mathematics MFM2P
Grade 10, Applied
This course enables students to consolidate their understanding of linear relations 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 relations. Students will investigate similar triangles, the trigonometry of right-angled triangles, and the measurement of three-dimensional figures. Students will consolidate their mathematical skills as they solve problems and communicate their thinking.
Prerequisite: Mathematics, Grade 9, Academic or Applied

Principles of Mathematics MPM2D
Grade 10, Academic
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 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 multistep problems.
Prerequisite: Mathematics, Grade 9, Academic

Mathematics MAT23
Grade 10, Essential
This Grade 10 course is designed to allow students to solidify and extend their understanding of and confidence in using the concepts developed in MAT14M so that they are well prepared for success in the Mathematics Grade 11 Workplace course. Difference between the Grades 9 and 10 courses are reflected in the level of complexity and the depth of understanding that students are asked to demonstrate, and in the contexts that move them from their immediate personal environment to the larger community
Prerequisite:

Functions MCR3U
Grade 11, University Preparation
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.
Prerequisite: Principles of Mathematics, Grade 10, Academic

Functions and Applications MCF3M
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 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.
Prerequisite: Principles of Mathematics, Grade 10, Academic, or Foundations of Mathematics, Grade 10, Applied

Foundations for College Mathematics MBF3C
Grade 11, College Preparation
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.
Prerequisite: Foundations of Mathematics, Grade 10, Applied

Mathematics for Work and Everyday Life [OYAP] MEL3E
Grade 11, Workplace Preparation
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: Principles of Mathematics, Grade 9, Academic or Foundations of Mathematics, Grade 9, Applied, or Mathematics, Grade 10, Essential

Geometry and Discrete Mathematics MGA4U
Grade 12, University Preparation
This course enables students to broaden mathematical knowledge and skills related to abstract mathematical topics and to the solving of complex problems. Students will solve problems involving geometric and Cartesian vectors, and intersections of lines and planes in three-space. They will also develop an understanding of proof, using deductive, algebraic, vector, and indirect methods. Students will solve problems involving counting techniques and prove results using mathematical induction.
Prerequisite: Functions, Grade 11, University Preparation

Advanced Functions and Introductory Calculus MCB4UM
Grade 12, University Preparation
This course builds on students’ experience with functions and introduces the basic concepts and skills of calculus. 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 of differential calculus as applied to polynomial, rational, exponential, and logarithmic functions.
With the Ministry's extended review of the Mathematics curriculum, please note the correct prerequisites below:

Prerequisite for 2006/2007: Functions, Grade 11, University/College Preparation (MCF3M), or Functions and Relations, Grade 11 University Preparation (MCR3U).

Prerequisite for 2007/2008: Functions, Grade 11 University Preparation (MCR3U).

Prerequisite: Please see above.

Mathematics of Data Management MDM4U
Grade 12, University Preparation
This 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.
Prerequisite: Functions, Grade 11, University Preparation, or Functions and Applications, Grade 11, University/College Preparation

Mathematics for College Technology MCT4C
Grade 12, College Preparation
This course equips students with the mathematical knowledge and skills needed for entry into college technology programs. Students will investigate and apply properties of polynomial, exponential, and logarithmic functions; solve problems involving inverse proportionality; and explore the properties of reciprocal functions. They will also analyse models of a variety of functions, solve problems involving piecewise-defined functions, solve linear-quadratic systems, and consolidate key manipulation and communication skills.
Prerequisite: Functions and Applications, Grade 11, University/College Preparation (or Functions, Grade 11, University Preparation)

College and Apprenticeship Mathematics MAP4C
Grade 12, College Preparation
This course equips students with the mathematical knowledge and skills they will need in many college programs. Students will use statistical methods to analyse problems; solve problems involving the application of principles of geometry and measurement to the design and construction of physical models; solve problems involving trigonometry in triangles; and consolidate their skills in analysing and interpreting mathematical models.
Prerequisite: Foundations for College Mathematics, Grade 11, College Preparation, or Functions and Applications, Grade 11, University/College Preparation (or Functions, Grade 11, University Preparation)

Mathematics for Work and Everyday Life [OYAP] MEL4E
Grade 12, Workplace Preparation
This course enables students to broaden their understanding of mathematics as it is applied in important areas of day-to-day living. Students will use statistics in investigating questions of interest and apply principles of probability in familiar situations. They will also investigate accommodation costs and create household budgets; solve problems involving estimation and measurement; and apply concepts of geometry in the creation of designs.
Prerequisite: Mathematics for Work and Everyday Life, Grade 11, Workplace Preparation