course pathway chart

Academic – Principles of Mathematics MPM1DI

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.
CREDIT: 1
TYPE: Academic
GRADE: 9

Pre-Advanced Placement – Principles of Mathematics MPM1DP

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.
Course Note: Students in the enriched course will be evaluated based on the same expectations as students in the regular academic course, but they will be challenged with more diverse problems and the underlying concepts of the course will be explored more deeply and broadly. Students who are interested in writing math contests are encouraged to take this course.
COURSE NOTE: The purpose of this Pre-Advanced Placement course is to provide mathematics students the opportunity to broaden the scope of their mathematics learning at their grade level, and to expand and enrich their problem solving skills. This course serves as a foundation for students wishing to take AP Calculus in grade 12.
CREDIT: 1
TYPE: Academic
GRADE: 9

Enriched – Principles of Mathematics, MPM1DN

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.
Course Note: Students in the enriched course will be evaluated based on the same expectations as students in the regular academic course, but they will be challenged with more diverse problems and the underlying concepts of the course will be explored more deeply and broadly. Students who are interested in writing math contests are encouraged to take this course.
CREDIT: 1
TYPE: Academic
GRADE: 9

Applied – Foundations of Mathematics, MFM1PI

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.
COURSE NOTE: Successful completion of this course prepares students for Foundations of Mathematics, Grade 10, Applied (MFM2P). Students who wish to take the Course Principles of Mathematics, Grade 10, Academic [MPM2D] after completing this course will need to take a transfer course or take MPM1DI
CREDIT: 1
TYPE: Applied
GRADE: 9

Essential – Mathematics MAT1LI

This course emphasizes further development of mathematical knowledge and skills to prepare students for success in their everyday lives, in the workplace, and in the MAT 2L course. The course is organized in 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.
CREDIT: 1
TYPE: Open
GRADE: 9

Academic – Principles of Mathematics MPM2DI

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.
CREDIT: 1
TYPE: Academic
GRADE: 10
PREREQUISITE: MPM1DI – Academic – Principles of Mathematics or MPM1DP – Pre-Advanced Placement – Principles of Mathematics or MFM2PI – Applied – Foundations of Mathematics

Pre Advanced Placement – Principles of Mathematics MPM2DP

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. Students in the enriched course will be evaluated based on the same expectations as students in the regular academic course, but they will be challenged with more diverse problems and the underlying concepts of the course will be explored more deeply and broadly. Students who are interested in writing math contests are encouraged to take this course.
COURSE NOTE: The purpose of this Pre-Advanced Placement course is to provide mathematics students the opportunity to broaden the scope of their mathematics learning at their grade level, and to expand and enrich their problem solving skills. This course serves as a foundation for students wishing to take AP Calculus in grade 12
COURSE NOTE: This course is recommended for students seeking enrichment and whose average in Mathematics exceeds the provincial average of 75% (a level 4 in math in previous years is highly recommended). Students need to complete a pre-AP application form from the Math Department or Guidance Office and submit it to the guidance office.
CREDIT: 1
TYPE: Academic
GRADE: 10
PREREQUISITE: MPM1DI – Academic – Principles of Mathematics or MPM1DP – Pre-Advanced Placement – Principles of Mathematics or MFM1PI – Applied – Foundations of Mathematics

Enriched – Principles of Mathematics, MPM2DN

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.
Course Note: Students in the enriched course will be evaluated based on the same expectations as students in the regular academic course, but they will be challenged with more diverse problems and the underlying concepts of the course will be explored more deeply and broadly. Students who are interested in writing math contests are encouraged to take this course.
CREDIT: 1
TYPE: Academic
GRADE: 10

Applied – Foundations of Mathematics MFM2PI

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.
CREDIT: 1
TYPE: Applied
GRADE: 10
PREREQUISITE: MFM1PI – Applied – Foundations of Mathematics, or MPM1DI – Academic – Principles of Mathematics or MPM1DP – Pre-Advanced Placement – Principles of Mathematics

Essential – Mathematics MAT2LI

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 Grade 11 Mathematics Workplace Preparation course. The course is organized in 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.
CREDIT: 1
TYPE: Open
GRADE: 10
PREREQUISITE: MAT1LI – Essential – Mathematics

Workplace, Mathematics for Work and Everyday Life, Grade 11, Workplace Preparation MEL3EI

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.
CREDIT: 1
TYPE: Workplace
GRADE: 11
PREREQUISITE: MFM1PI – Applied – Foundations of Mathematics, or MFM2PI – Applied – Foundations of Mathematics or MPM1DI – Academic – Principles of Mathematics or MPM2DI – Academic – Principles of Mathematics or MPM2DP – Pre Advanced Placement – Principles of Mathematics or MAT2LI – Essential – Mathematics

University Functions, Grade 11 MCR3UI

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.
CREDIT: 1
TYPE: University
GRADE: 11
PREREQUISITE: MPM2DI – Academic – Principles of Mathematics or MPM2DP – Pre Advanced Placement – Principles of Mathematics

Functions, Grade 11, University Preparation (Pre-Advanced Placement) MCR3UP

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.
COURSE NOTE: The purpose of this Pre-Advanced placement course is to prepare students with the strong foundation in reasoning with algebraic symbols and working with algebraic structures. In the course students will study algebra, trigonometry, analytic geometry, and elementary functions. These functions include linear, polynomial, exponential, logarithmic, trigonometric and piecewise-defined functions. Students will become familiar with algebra of functions and the graphs of functions. Students will be introduced to the language of functions (domain and range, odd and even, periodic, symmetry, zeros, intercepts and descriptors such as increasing and decreasing). It will be shown in the course how the sine and cosine functions are defined from the unit circle. Students will also get basic familiarity with sequences and series.
COURSE NOTE: Course Note This course is recommended for students seeking enrichment and whose average in Math exceeds the provincial average of 75%. Students need to complete an Application for Advanced Placement and submit it to the guidance office. (Applications can be obtained from guidance office)
CREDIT: 1
TYPE: University
GRADE: 11
PREREQUISITE: MPM2DI – Academic – Principles of Mathematics or MPM2DP – Pre Advanced Placement – Principles of Mathematics
CREDIT EQUIVALENTS: MCR3UI – Functions, Grade 11, University Preparation is a similar course and you will not receive credit for taking both

U/C, Functions and Applications, Grade 11 MCF3MI

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.
CREDIT: 1
TYPE: University/College
GRADE: 11
PREREQUISITE: MFM2PI – Applied – Foundations of Mathematics or MPM2DI – Academic – Principles of Mathematics or MPM2DP – Pre Advanced Placement – Principles of Mathematics

College – Foundations for College Mathematics MBF3CI

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.
CREDIT: 1
TYPE: College
GRADE: 11
PREREQUISITE: MFM2PI – Applied – Foundations of Mathematics or MPM2DI – Academic – Principles of Mathematics or MPM2DP – Pre Advanced Placement – Principles of Mathematics or MFM2PI – Applied – Foundations of Mathematics or MPM2DI – Academic – Principles of Mathematics

Mathematics for Work and Everyday Life, Grade 12 Workplace MEL4EI

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. Pre-requisites: MEL3EI (recommend 65%)
COURSE NOTE: Note: It is strongly recommended that students entering this course from MEL3EI have a solid foundation (recommend 65%)in the prerequisite course.
CREDIT: 1
TYPE: Workplace
GRADE: 12
PREREQUISITE: MCF3MI – Functions and Applications, Grade 11 or MCR3UI – Functions, Grade 11 University or MEL3EI – Mathematics for Work and Everyday Life, Grade 11 Workplace or MBF3CI – Foundations for Mathematics, College

Foundations for College Mathematics, Grade 12 College Preparation MAP4CI

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. Pre-requisites: MBF3CI (recommend 65% or +)
COURSE NOTE: Note: It is strongly recommended that students entering this course from MBF3CI have a solid foundation (recommend 65%) in the prerequisite course.
CREDIT: 1
TYPE: College
GRADE: 12
PREREQUISITE: MBF3CI – Foundations for Mathematics, College or MCF3MI – Functions and Applications, Grade 11 or MCR3UI – Functions, Grade 11 University

Mathematics for College Technology, Grade 12 MCT4CI

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. Pre-requisites: MCF3MI (Recommend 75%), MCR3UI
COURSE NOTE: Note: It is strongly recommended that students entering this course from MCF3M have a solid foundation (recommend 75% or better) in the prerequisite course.
CREDIT: 1
TYPE: College
GRADE: 12
PREREQUISITE: MCR3UI – Functions, Grade 11 University or MCF3MI – Functions and Applications, Grade 11

Calculus and Vectors, Grade 12 University MCV4UI

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. Pre-requisites: MHF4UI (Recommend 70% or better)
COURSE NOTE: Prerequisite: Advanced Functions, Grade 12, University Preparation.
Note: In some schools, it may be necessary to take the prerequisite course concurrently with MCV4U.
Note: It is strongly recommended that students entering this course from MHF4UI have a solid foundation (recommend 70% or better) in the prerequisite course.
CREDIT: 1
TYPE: University
GRADE: 12
PREREQUISITE: MHF4UI – Advanced Functions, Grade 12 University

Mathematics of Data Management, Grade 12 MDM4UI

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. Pre-requisites: MCF3MI (recommend 75% or better) MCR3UI (recommend 65% or better)
COURSE NOTE: Prerequisite: Functions and Applications, Grade 11, University/College Preparation, or Functions, Grade 11, University Preparation
Note: It is strongly recommended that students entering this course from MCF3MI have a solid foundation (recommend 75% or better) in the prerequisite course. It is strongly recommended that students entering this course from MCR3UI have a solid foundation (recommend 65% or better) in the prerequisite course.
CREDIT: 1
TYPE: University
GRADE: 12
PREREQUISITE: MCF3MI – Functions and Applications, Grade 11 or MCR3UI – Functions, Grade 11 University

Advanced Functions, Grade 12 University MHF4UI

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. Pre-requisites: MCR3UI (recommend 65% or better) MCT4CI (recommend 75% or better)
COURSE NOTE: Prerequisite: Functions, Grade 11, University Preparation, or Mathematics for College Technology, Grade 12, College Preparation
Note: It is strongly recommended that students entering this course from MCR3UI have a solid foundation (recommend 65% or better) in the prerequisite course. It is strongly recommended that students entering this course from MCT4CI have a solid foundation (recommend 75% or better) in the prerequisite course.
CREDIT: 1
TYPE: University
GRADE: 12
PREREQUISITE: MCR3UI – Functions, Grade 11 University or MCT4CI – Mathematics for College Technology, Grade 12