Mathematics
Principles of Mathematics MPM1D
Grade 9 Academic
This course enables students to develop generalizations of
mathematical ideas and methods through the exploration of
applications, the effective use of technology, and abstract
reasoning. Students will investigate relationships to develop
equations of straight lines in analytic geometry, explore relationships
between volume and surface area of objects in measurement,
and apply extended algebraic skills in problem solving.
Students will engage in abstract extensions of core learning that
will deepen their mathematical knowledge and enrich their
understanding.
Prerequisite: None
Foundations of Mathematics MFM1P
Grade 9 Applied
This course enables students to develop mathematical ideas and
methods through the exploration of applications, the effective use
of technology, and extended experiences with hands-on activities.
Students will investigate relationships of straight lines in analytic
geometry, solve problems involving the measurement of 3-
dimensional objects and 2-dimensional figures, and apply key
numeric and algebraic skills in problem solving. Students will also
have opportunities to consolidate core skills and deepen their
understanding of key mathematical concepts.
Prerequisite: None
Mathematics MAT14
Grade 9 Essential
This locally developed course provides students who have
experienced difficulties in previous mathematics courses an
opportunity to obtain sufficient background and skill development
to prepare them for Grade 9 Applied or Grade 11 & 12 Workplace
Preparation courses. Whenever possible, ideads will be presented
in a realistic context providing students with an opportunity
to explore, organize, interpret, and use mathematical models
to solve problems. Technology and manipulative materials will be
used wherever appropriate.
Prerequisite: None
Principles of Mathematics MPM2D
Grade 10 Academic
This course enables 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 applica-
tions; solve and apply linear systems; solve multi-step problems
in analytic geometry to verify properties of geometric figures;
investigate the trigonometry of right and acute triangles; and
develop supporting algebraic skills.
Prerequisite: Mathematics, Grade 9,Academic or Applied
Foundations of Mathematics MFM2P
Grade 10 Applied
This course enables students to consolidate their understanding
of key mathematical concepts through hands-on activities and to
extend their problem-solving experiences in a variety of applications.
Students will solve problems involving proportional reasoning
and the trigonometry of right triangles; investigate applications
of piecewise linear functions; solve and apply systems of
linear equations; and solve problems involving quadratic functions.
The effective use of technology in learning and in solving
problems will be a focus of the course.
Prerequisite: Mathematics, Grade 9,Academic or Applied
Functions and Relations MCR3U
Grade 11 University
This course introduces some financial applications of mathematics,
extends students’ experiences with functions, and introduces
second-degree relations. Students will solve problems in personal
finance involving applications of sequences and series;
investigate properties and applications of trigonometric functions;
develop facility in operating with polynomials, rational expressions,
and exponential expressions; develop an understanding of
inverses and transformations of functions; and develop facility in
using function notation and in communicating mathematical
reasoning. Students will also investigate loci and the properties
and applications of conics.
Prerequisite: Principles of Mathematics, Grade 10,Academic
Functions MCF3M
Grade 11 University/College
This course introduces some financial applications of mathematics
and extends students’ experiences with functions. Students
will solve problems in personal finance involving applications of
sequences and series; investigate properties and applications of
trigonometric functions; develop facility in operating with polynomials,
rational expressions, and exponential expressions;
develop an understanding of inverses and transformations of
functions; and develop facility in using function notation and in
communicating mathematical reasoning.
Prerequisite: Principles of Mathematics, Grade 10,Academic
Mathematics of Personal Finance MBF3C
Grade 11 College
This course enables students to broaden their understanding of
exponential growth and of important areas of personal finance.
Students will investigate properties of exponential functions and
develop skills in manipulating exponential expressions; solve
problems and investigate financial applications involving compound
interest and annuities; and apply mathematics in making
informed decisions about transportation, accommodation, and
career choices.
Prerequisite: Foundations of Mathematics, Grade 10,Applied
Mathematics for Everyday Life MEL3E
Grade 11 Workplace
This course enables students to broaden their understanding of
mathematics as it is applied in important areas of day-to-day
living. 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.
Prerequisite: Mathematics, Grade 9,Academic or Applied
Advanced Functions and Introductory Calculus
MCB4U
Grade 12 University
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. Students will apply these skills to problem solving in a
range of applications.
Prerequisite: Functions and Relations, Grade 11, University
Preparation, or Functions, Grade 11, University/College Preparation
Geometry and Discrete Mathematics MGA4U
Grade 12 University
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 and Relations, Grade 11, University
Preparation
Mathematics of Data Management MDM4U
Grade 12 University
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 and Relations, Grade 11, University
Preparation, or Functions, Grade 11, University/College Preparation
College and Apprenticeship Mathematics MAP4C
Grade 12 College
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: Mathematics of Personal Finance, Grade 11,
College Preparation, or Functions, Grade 11, University/College
Preparation (or Functions and Relations, Grade 11, University
Preparation)
Mathematics for College Technology MCT4C
Grade 12 College
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, Grade 11, University/College Preparation
(or Functions and Relations, Grade 11, University Preparation)
Mathematics for Everyday Life MEL4E
Grade 12 Workplace
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 Everyday Life, Grade 11,
Workplace Preparation
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Mathematics
