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Mathematics Department

Course Descriptions

Principles of Mathematics, Academic (MPM1D)

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.

 

Foundations of Mathematics, Applied (MFM1P)

This course enables students to develop an 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.

 

Principles of Mathematics, Academic (MPM2D)

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 multi-step problems.

 

Foundations of Mathematics, Applied (MFM2P)

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.

 

Mathematics - Locally Developed (MAT2L1)

 

Functions, University (MCR3U)

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 determining
equivalent algebraic 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, University/College (MCF3M)

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.

Prerequisite: Principles of Mathematics, Grade 10, Academic, or Foundations of
Mathematics, Grade 10, Applied

 

Foundations for College Mathematics, College (MBF3C)

This course enables students to broaden their understanding of mathematics as a problemsolving
tool in the real world. Students will extend their understanding of quadratic
relations; investigate situations involving exponential growth; solve problems involving
compound interest; solve financial problems connected with vehicle ownership; develop
their ability to reason by collecting, analysing, and evaluating data involving one variable;
connect probability and statistics; and solve problems in geometry and trigonometry.
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, Workplace (MEL3E)

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 a ministry-approved locally developed
Grade 10 mathematics course

 

Advanced Functions, University (MHF4U)

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.

Prerequisite: Functions, Grade 11, University Preparation, or Mathematics for College
Technology, Grade 12, College Preparation

 

Calculus and Vectors, University (MCV4U)

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 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 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 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.

Note: The new Advanced Functions course (MHF4U) must be taken prior to or
concurrently with Calculus and Vectors (MCV4U).

 

Mathematics of Data Management, University (MDM4U)

This course broadens students’ 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 programs in business, the social
sciences, and 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, College (MCT4C)

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.

Prerequisite: Functions and Applications, Grade 11, University/College Preparation, or
Functions, Grade 11, University Preparation

 

Foundations for College Mathematics, College (MAP4C)

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.

Prerequisite: Foundations for College Mathematics, Grade 11, College Preparation, or
Functions and Applications, Grade 11, University/College Preparation

 

Mathematics for Everyday Life, Workplace (MEL4E)

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: Mathematics for Work and Everyday Life, Grade 11, Workplace Preparation

 

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