Mathematics

Course Title: Principles of Mathematics

Course Code: MTH1W

Description: 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.

Prerequisite: None

Course Title: Principles of Mathematics

Course Code: MPM2D

Description: This course enable students to broaden their understanding of relations, extend their skills in multi-step problem solving, and continue to develop their abilities in abstract reasoning. Students will pursue investigations of quadratic functions and their applications; solve and apply linear systems; solve multistep problems in analytic geometry to verify properties of geometric figures; investigate the trigonometry of right and acute triangles; and develop supporting algebraic skills. 

Prerequisite: Principles of Mathematics, Grade 9

Course Title: Functions, University Preparation

Course Code: MCR3U

Description: 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

Course Title: Functions and Applications, University/College Preparation

Course Code: MCF3M1

Description: 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

Course Title: Foundations for College Mathematics, College Preparation

Course Code: MBF3C1

Description: 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

Course Title: Mathematics for Work & Everyday Life, Workplace Preparation

Course Code: MEL3E1

Description: 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 or a ministry-approved locally developed Grade 10 mathematics course

Course Title: Advanced Functions, University Preparation

Course Code: MHF4U

Description: This course extends students’ experience with functions. Students will investigate the properties of polynomial, rational, logarithmic, and trigonometric 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 who plan to study mathematics in university and for those wishing to consolidate their understanding of mathematics before proceeding to any one of a variety of university programs. 

Prerequisite: Functions, Grade 11, University Preparation

Course Title: Foundations for College Mathematics, College Preparation

Course Code: MAP4C1

Description: 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; 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 (minimum of 1 of the below required): Foundations for College Mathematics, Grade 11, College Preparation, Functions and Applications, Grade 11, University/College Preparation, or Functions, Grade 11, University Preparation

Course Title: Mathematics of Data Management, University Preparation

Course Code: MDM4U1

Description: This course broadens students’ understanding of mathematics as it relates to managing data. Students will apply methods for organizing large amounts of information; solve problems involving probability and statistics; and carry out a culminating project 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: Functions and Applications, Grade 11, University/College Preparation, or Functions, Grade 11, University Preparation

Course Title: Calculus and Vectors, University Preparation or Advanced Placement

Course Code: MCV4U

Description: 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, rational, exponential, and sinusoidal 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 plan to  study mathematics in university and who may choose to pursue careers in fields such as physics and engineering. 

Prerequisites: Advanced Functions, Grade 12 University Preparation. Note: The new Advanced Functions course (MHF4U) must be taken prior to or concurrently with Calculus and Vectors (MCV4U). To take Advanced Placement Calculus and Vectors, Advanced Functions must also be taken in Advanced Placement.