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Math

 

An important part of every course in the mathematics program is the process of inquiry, in which

students develop methods for exploring new problems or unfamiliar situations. Knowing how to

learn mathematics is the underlying expectation that every student in every course needs to achieve.

An important part of the inquiry process is that of taking the conditions of a real-world situation and

representing them in mathematical form. A mathematical representation can take many different

forms – for example, it can be a physical model, a diagram, a graph, a table of values, an equation, or

a computer simulation. It is important that students recognize various mathematical representations of

given relationships and that they become increasingly familiar with sophisticated representations as they

progress through secondary school.

 

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.

 

Prerequisite: None

Evaluation: Term Work - 70 % Summative Evaluation - 30 %

 

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.

 

Prerequisite: Principles of Mathematics, MPM1D

Evaluation: Term Work - 70 % Summative Evaluation - 30 %

 

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: Principles of Mathematics, Grade 10, Academic

Evaluation: Term Work - 70 % Summative Evaluation - 30 %

 

Advanced Functions - MHF4U

This course extends students’ experience with functions. Students will investigate the properties of

polynomial, rational, logarithmic and trigonometric 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 for students

intending to take AP Calculus and Vectors the following year. There is a more rigorous exploration of

algebra and functions and additional topics are included to prepare students for AP Calculus. Additional

topics will include an introduction to vectors, complex numbers and parametric equations.

 

Prerequisite: Functions, MCR3U

Evaluation: Term Work - 70 % Summative Evaluation - 30 %

 

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.

Note: The new Advanced Functions course (MHF4U) must be taken prior to or

concurrently with Calculus and Vectors (MCV4U).

 

Prerequisite: MHF4U (Students in Senior Two can take MHF4U and MCV4U concurrently.)

Evaluation: Term Work - 70 % Summative Evaluation - 30 %

 

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: Functions, Grade 11, University Preparation, or Functions and Applications,

Grade 11, University/College Preparation

Prerequisite: MCR3U or MCF3M

Evaluation: Term Work - 70 % Summative Evaluation - 30 %