PRINCIPLES OF MATHEMATICS
(Academic) MPM 1D1 Grade 9
Credit Value: 1
This course enables students to develop understanding of mathematical concepts
related to algebra, analytical 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
relationship. They will also explore relationships that emerge from the
measurement of three dimensional objects and two-dimensional shapes. Students
will reason mathematically and communicate their thinking as they solve
multi-step problems. Learning through abstract reasoning is an important
aspect of this course.
Prerequisite: None
FOUNDATIONS OF MATHEMATICS
(Applied) MFM 1P1 Grade 9
Credit Value: 1
This course enables students to develop understanding of mathematical concepts related to introductory algebra, proportional reasoning, and measurement and geometry through investigation, the effective use of technology, hands-on activities. Students will investigate real-life examples to develop various representations of linear relationships and will determine the connections between the representations. They will also explore certain relationships that emerge form the measurement of three-dimensional objects and two-dimensional shapes. Students will consolidate their mathematical skills as they solve problems and communicate their thinking.
Prerequisite: None
LOCALLY DEVELOPED MATHEMATICS
(Essentials) MAT 1L1 Grade 9
Credit Value: 1
This course provides students who have experienced significant difficulties in previous Mathematics courses an opportunity to obtain sufficient background and skill development to prepare them for Grade 11 and 12 Workplace Preparation courses. Wherever possible, ideas will be presented in a real-life context, providing students with the opportunity to explore, organize, interpret and use mathematical models to solve problems. Technology and manipulative materials will be used wherever appropriate. Assessment and evaluation will be done using a wide variety of strategies.
Prerequisite: None
CHOOSING THE APPROPRIATE YEAR 2
COURSE
The topics in the two Grade 10 courses, Principles of Mathematics (MPM
2D1) and Foundations of Mathematics (MFM 2P1) have similarities, but there are
significant differences between them in terms of level of abstraction and depth
of complexity.
The difference between the strands lies in the greater degree of algebraic treatment that occurs in the Principles course (MPM 2D1). Students in Grade 10 Principles (MPM 2D1). solve multi-step problems involving the verification of properties of plane figures on the xy-plane.
PRINCIPLES OF MATHEMATICS
(Academic) MPM 2D1 Grade 10
Credit Value: 1
This course enables students to broaden their understanding of relations and extend their problem solving and algebraic skills through investigation, the effective use of technology, and abstract reasoning. Students will explore quadratic relationships and their applications; solve and apply linear systems; verify properties of geometric figures using analytical geometry; and investigate the trigonometry of right and acute triangles. Students will reason mathematically as they solve multi-step problems and communicate their thinking
Prerequisite: MPM 1D1 (65+ Recommended)
Recommended: Students obtain their own Scientific Calculator
FOUNDATIONS OF MATHEMATICS
(Applied) MFM 2P1 Grade 10
Credit Value: 1
This course enables students to consolidate their understanding of relationships 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 analytical geometry; solve and apply linear systems using real-life examples; and explore and interpret graphs of quadratic relationships. Students will investigate similar triangles, the trigonometry of right angles triangles, and the measurement of three-dimensional objects. Students will consolidate their mathematical skills as they solve problems and communicate their thinking
Prerequisite: MPM 1D1 or MFM 1P1
Recommended: Students obtain their own Scientific Calculator
CHOOSING THE APPROPRIATE YEAR 3 COURSE
Two Grade 11 courses, Functions and Relations (MCR3U1) and Functions (MCF3M1), prepare students for the Grade 12 university preparation course Advanced Functions and Introductory Calculus. For this reason, the two courses have a common core.
Functions and Relations (MCR3U1) however is also the prerequisite to the Grade 12 university preparation course Geometry and Discrete Mathematics. For this reason, MCR3U1 not only has a fourth strand, but the course moves at a faster pace and the concepts are presented in a more abstract manner.
The Grade 11 college preparation course, Mathematics of Personal Finance (MBF 3C1), includes a powerful blend of topics that will equip students not only for many college destinations but also for their adult lives.
The Grade 11 workplace preparation course, entitled Mathematics for Everyday Life (MEL 3E1), present a blend of topics dealing with personal finance and with areas of mathematics that may be useful in a variety of jobs. All of the strands in both the Grade 11 and Grade 12 workplace preparation courses lend themselves to the use of real data gathered in the community, and to hands on projects and experiences.
FOUNDATIONS AND RELATIONS
(University) MCR 3U1 Grade 11
Credit Value: 1
MCR3U1 is a more rigorous course than MCF3M1. A small minority of university-bound students should opt for this course. MCR3U1 is designed specifically for students planning to study university programs that are highly focused on mathematics, such as engineering, computer science, mathematics, and physical science.
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: MPM2D1 (80+ Recommended)
Recommended: Students obtain their own TI 83+ Graphing Calculator
FUNCTIONS
(University/College) MCF 3M1 Grade 11
Credit Value: 1
MCF3M1 is designed for the vast majority of students who plan to enter
university.
Topics are presented in a more concrete manner and at a more moderate pace. It
is less rigorous than MCR3U1.
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: MPM 2D1 (65+ Recommended)
Recommended: Students obtain their own TI 83+ Graphing Calculator
MATHEMATICS OF PERSONAL FINANCE
(College) MBF 3C1 Grade 11
Credit Value: 1
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: MFM 2P1
Recommended: Students obtain their own Scientific Calculator
MATHEMATICS FOR EVERYDAY LIFE
(workplace) MBL 3E1 Grade 11
Credit Value: 1
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: MFM 1P1 or MAT 1L1
CHOOSING THE APPROPRIATE YEAR
4 COURSE
The Grade 12 university preparation course Geometry and Discrete
Mathematics (MGA 4U1) is specifically designed for a small minority of
university-bound students planning to study university programs that are
highly focused on mathematics, such as engineering, computer science,
mathematics, and physical science.
Similar to its prerequisite, MCR3U1, it is a more rigorous course than the other choices.
The Grade 12 university preparation course Advanced Functions and Introductory Calculus (MCB 4U1) is designed for students intending to study university programs that will involve calculus. The course is focused on the properties, applications, and differential calculus of polynomial, rational, exponential, and logarithmic functions.
In the Grade 12 university preparation course Mathematics of Data Management (MDM 4U1), each strand highlights a different aspect of the theme of the course; together, the strands assist in preparing students to deal with the increasingly technological nature of both studying and living.
The Grade 12 college preparation course Mathematics for College Technology (MCT 4C1) is intended for students planning to study mathematics focused programs at college, such as diploma technology programs. Its three strands build on the function base established in Grade 11.
The Grade 12 college preparation course College and Apprenticeship Mathematics consists of three strands. Students acquire critical skills in the area of information, apply geometric properties to the creation of plans and scale models, and consolidate their skills in analyzing and interpreting graphical models and in manipulating key algebraic expressions.
The 12 workplace preparation course entitled Mathematics for Everyday Life (MEL 4E1), continues the themes of the year 3 course. As the Grade 11 course did, the Grade 12 course lend itself to the use of real data gathered in the community, and to hands on projects and experiences.
GEOMETRY AND DISCRETE MATHEMATICS
(University) MGA 4U1 Grade 12
Credit Value: 1
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: MCR 3U1 (70+ Recommended)
Recommended: Students obtain their own TI 83+ Graphing Calculator
ADVANCED FUNCTIONS AND INTRODUCTORY CALCULUS
(University) MCB 4U1 Grade 12
Credit Value: 1
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: MCR 3U1 (70+ Recommended) or MCF 3M1
(75+ Recommended)
Recommended: Students obtain their own TI 83+ Graphing Calculator
MATHEMATICS OF DATA MANAGEMENT
(University) MDM 4U1 Grade 12
Credit Value: 1
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 modeling 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: MCR 3U1 (70+ Recommended) or MCF 3M1
(75+ Recommended)
Recommended: Students obtain their own TI 83+ Graphing Calculator
MATHEMATICS FOR COLLEGE TECHNOLOGY
(College) MCT 4C1 Grade 12
Credit Value: 1
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 analyze models of a variety of functions, solve problems involving piecewise defined functions, solve linear quadratic systems, and consolidate key manipulation and communication skills.
Prerequisite: MCF 3M1 or MCR 3U1
Recommended: Students obtain their own TI 83+ Graphing Calculator
COLLLEGE AND APRENTICESHIP MATHEMATICS
(College) MAP 4C1 Grade 12
Credit Value: 1
This course equips students with the mathematical knowledge and skills they will need in many college programs. Students will use statistical methods to analyze 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 analyzing and interpreting mathematical models.
Prerequisite: MBF 3C1 or MCF 3M1 or MCR 3U1
Recommended: Students obtain their own Scientific Calculator
MATHEMATICS FOR EVERYDAY LIFE
(Workplace) MEL 4E1 Grade 12
Credit Value: 1
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: MEL 3E1 or MBF 3C1 or MCF 3M1 or MCR 3U1
