**Grade 9**

Foundations of Mathematics
**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**

**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.

**Locally Developed Mathematics**

**MAT1L**

This
course focuses on the knowledge and skills required to be well prepared for
success in the Grade 10 Locally-developed Mathematics (MAT2L). 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 form the basis of the course content.

**PREREQUISITE:** With Principal's permission

**Grade 10**

**Foundations of Mathematics**

**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.

**PREREQUISITE:** MFM1P - Foundations of
Mathematics **or** MPM1D - Principles of Mathematics

**Principles of Mathematics**

**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.

**Locally Developed Mathematics**

**MAT2L**

This
Grade 10 course is designed to allow students to solidify and extend their
understanding of, and confidence in using, the concepts developed in MAT1L so
that they are well 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 the larger
community.

**PREREQUISITE:** MPM1D - Principles of
Mathematics

**Grade 11**

**Foundations for College
Mathematics**

**MBF3C**

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; 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:** MFM2P - Foundations of
Mathematics

**Functions and Applications**

**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:** MFM2P - Foundations of
Mathematics **or** MPM2D - Principles of Mathematics

**Functions**

**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:** MPM2D - Principles of
Mathematics

**Mathematics for Work and Everyday
Life**

**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 Grade 10
Mathematics LDCC (locally developed compulsory credit) course

**Grade 12**

**Foundations for College Mathematics**

**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:** MBF3C - Foundations for College
Mathematics **or** MCF3M - Functions and Applications

**Mathematics for College
Technology**

**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:** MCF3M - Functions and
Applications

**Calculus and Vectors**

**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 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 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.

**PREREQUISITE:** Advanced Functions, Grade 12,
University Preparation, must be taken prior to or concurrently with Calculus
and Vectors.

**Mathematics of Data Management**

**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:** MCF3M - Functions and
Applications **or** MCR3U - Functions

**Mathematics for Work and Everyday
Life**

**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:** MEL3E - Mathematics for Work and
Everyday Life

**Advanced Functions**

**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:** MCR3U - Functions **or**
MCT4C - Mathematics for College Technology