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Mathematics
PRINCIPLES OF MATHEMATICS – Grade
9 Academic (MPM1D)
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 between volume and surface area
of objects in measurement, and apply and extend algebraic skills
in problem solving. Students will engage in abstract extensions
of core learning that will deepen their mathematical knowledge
and enrich their understanding.
FOUNDATIONS OF MATHEMATICS – Grade
9 Applied (MFM1P)
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.
MATHEMATICS – Grade 9 Essentials
(MAT1L)
*On recommendation by Educational Services only
This course emphasizes further development of mathematical knowledge
and skills to prepare students for success in their everyday
lives, in the workplace, in the Grade 10 LDCC course, and in
the Mathematics Grade 11 and Grade 12 Workplace Preparation
courses. The course is organized by three strands related to
money sense, measurement, and proportional reasoning. In all
strands, the focus is on developing and consolidating key foundational
mathematical concepts and skills by solving authentic, everyday
problems. Students have opportunities to further develop their
mathematical literacy and problem-solving skills and to continue
developing their skills in reading, writing, and oral language
through relevant and practical math activities.
Prerequisite: None
PRINCIPLES OF MATHEMATICS – Grade
10 Academic (MPM2D)
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 applications; 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
(with cross over course)
FOUNDATIONS OF MATHEMATICS – Grade
10 Applied (MFM2P)
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
MATHEMATICS – Grade 10 Essentials
(MAT2L)
*On recommendation by Educational Services only
This course emphasizes the extension of mathematical knowledge
and skills to prepare students for success in their everyday
lives, in the workplace, and in the Mathematics Grade 11 and
Grade 12 Workplace Preparation courses. The course is organized
by three strands related to money sense, measurement, and proportional
reasoning. In all strands, the focus is on strengthening and
extending key foundational mathematical concepts and skills
by solving authentic, everyday problems. Students have opportunities
to extend their mathematical literacy and problem-solving skills
and to continue developing their skills in reading, writing,
and oral language through relevant and practical math activities.
Prerequisite: Mathematics – Grade 9 Academic, Applied
or Essential
FUNCTIONS AND RELATIONS – Grade
11 University Preparation (MCR 3U)
This course introduces some financial applications of mathematics,
extends students’ experiences with functions, and introduces
second-degree relations. Student will solve problems in personal
finance involving applications of sequences and series; investigate
properties and applications of trigonometric functions; develop
facility in operating with polynomial, rational, 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: Principals of Mathematics – Grade 10 Academic
Recommended mark: >75%
FUNCTIONS – Grade 11 University/College
Preparation (MCF3M)
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
polynomial, rational, 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
Recommended mark: >70%
MATHEMATICS OF PERSONAL FINANCE –
Grade 11 College Preparation (MBF3C)
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 –
Grade 11 Workplace Preparation (MEL3E)
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 – Grade 12 University Preparation (MCB4U)
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 –
Grade 12 University Preparation (MGA4U)
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 –
Grade 12 University Preparation (MDM4U)
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
– Grade 12 College Preparation (MAP4C)
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 or Functions and Relations –
Grade 11 – University
MATHEMATICS FOR COLLEGE TECHNOLOGY –
Grade 12 College Preparation (MCT4C)
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
communications skills.
Prerequisite: Functions - Grade 11 - University/College Preparation
or Functions and Relations - Grade 11 - University Preparation
MATHEMATICS FOR EVERYDAY LIFE –
Grade 12 Workplace Preparation (MEL4E)
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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