**Grade 9 **

**Principles of Mathematics(MPM1D1)**

Grade 9, Academic

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 multistep problems.

Fees: None

Prerequisite: None

**Principles of Mathematics - Advanced Placement Preparation (MPM1D2)**

Grade 9, Academic

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 multistep problems. *A very strong mathematical background is required for this course.*

Fees: None

Prerequisite: None

**Foundation of Mathematics (MFM1P1)**

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.

Fees: None

Prerequisite: None

**Essential Mathematics (MAT1LM)**

Grade 9, Locally-Developed

This course focuses on the knowledge and skills required to be well prepared for success in the Mathematics Grade 10 Locally Developed 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 from the basis of the course content.

*Note: This Locally Developed Course is intended for students who need to upgrade the skills required to take other high school mathematics courses.*

Fees: None

Prerequisite: With Principal's Permission

**Grade 10**

**Principles of Mathematics (MPM2D1)**

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.

Fees: None

Prerequisite: MPM1D1

**Principles of Mathematics - Advanced Placement Preparation (MPM2D2)**

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. *A very strong mathematical background is required for this course. Only students who achieve exceptional standing in MPM1D1 or have completed MPM1D2 will be considered for this course.*

Fees: None

Prerequisite: MPM1D1 or MPM1D2

**Foundations of Mathematics (MFM2P1)**

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 triangles, and the measurement of three-dimensional figures. Students will consolidate their mathematical skills as they solve problems and communicate their thinking.

Fees: None

Prerequisite: MPM1D1/MFM1P1

**Essential Mathematics (MAT2LM)**

Grade 10, Locally-Developed

This Grade 10 Locally Developed Course is designed to allow students to solidify and extend their understanding, and confidence in using, the concepts developed in MAT1LM, so that they are 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 their larger community.

Fees: None

Prerequisite: With Principal's Permission

**Grade 11**

**Mathematics for Work and Everyday Life (MEL3E1)**

Grade 11, Workplace

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.

Fees: None

Prerequisite: MPM1D1/MFM1P1/MAT2LM

**Functions and Applications (MCF3M1)**

Grade 11, University/College

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.

Fees: None

Prerequisite: MPM2D1/MFM2P1

**Functions (MCR3U1)**

Grade 11, University

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 simplifying polynomial and rational expressions. Students will reason mathematically and communicate their thinking as they solve multi-step problems.

Fees: None

Prerequisite: MPM2D1

**Functions - Advanced Placement Preparation (MCR3U2)**

Grade 11, University

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 simplifying polynomial and rational expressions. Students will reason mathematically and communicate their thinking as they solve multi-step problems. *This course is a preparation course for Advanced Placement in grade 12 Mathematics. A very strong mathematical background is required for this course. Only students who achieve exceptional standing in MPM2D1 or have completed MPM2D2 will be considered for this course.*

Fees: None

Prerequisite: MPM2D1 or MPM2D2

**Grade 12**

**Mathematics for Work and Everyday Life (MEL4E1)**

Grade 12, Workplace

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.

Fees: None

Prerequisite: MEL3E1

**Foundations for College Mathematics (MAP4C1)**

Grade 12, College

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.

Fees: None

Prerequisite: MBF3C1

**Mathematics for College Technology (MCT4C1)**

Grade 12, College

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.

Fees: None

Prerequisite: MCF3M1

**Mathematics of Data Management (MDM4U1)**

Grade 12, University

This course broadens students' understanding of mathematics as it relates to managing data. Students will apply methods for organizing and analyzing large amounts of information; solve problems involving counting 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.

Fees: None

Prerequisite: MCR3U1/MCF3M1

**Advanced Functions (MHF4U1)**

Grade 12, University

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.

Fee: None

Prerequisite: MCT4C1/MCR3U1

**Calculus and Vectors (MCV4U1)**

Grade 12, University

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 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.

Fees: None

Prerequisite: MHF4U1

**Advanced Functions - Advanced Placement (MHF4U2)**

Grade 12, University

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. *A very strong mathematical background is required for this course. This course is intended for students who may wish to take the Advanced Placement Calculus exam.*

Note: Students wishing to take this course must also take MCV4U2.

Fees: None

Prerequisite: MCR3U1 or MCR3U2

**Calculus and Vectors - Advanced Placement (MCV4U2)**

Grade 12, University

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 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. *A very strong mathematical background is required for this course. This course is intended for students who may wish to take the Advanced Placement Calculus exam.*

Fees: None

Prerequisite: MHF4U2