Mathematics
Math Department Pathways Chart
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Applied Vs Academic Course Expectations
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Mathematics Department Course Codes
Grade 9 | Grade 10 | Grade 11 | Grade 12 |
MPM1D1 Principles of Mathematics Academic |
MPM2D1 Principles of Mathematics Academic |
MCR3U1 Functions University |
MDM4U1 Mathematics of Data Management University |
MFM1P1 Foundations of Mathematics Applied |
MFM2P1 Foundations of Mathematic Applied |
MCF3M1 Functions and Applications University/College |
MAP4C1 College and Apprenticeship Mathematics College |
MAT1L1 Mathematics Locally Developed |
MAT2L1 Mathematics Locally Developed |
MBF3C1 Foundations for College Mathematics College |
MEL4E1 Mathematics for Everyday Life Workplace |
MEL3E1 Mathematics for Work and Everyday Life Workplace |
Course Descriptions
MPM1D1 – Principles of Mathematics, Grade 9, Academic
This course enables students to develop 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 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 ands 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. Successful completion of this course prepares students for Grade 10 Principles of Mathematics, Academic (MPM2D1) or Grade 10 Foundations of Mathematics, Applied (MFM2P1).
MFM1P1 – Foundations of Mathematics, Grade 9, Applied
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, and 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 from the measurement of three-dimensional objects and two-dimensional shapes. Students will consolidate their mathematical skills as they solve problems and communicate their thinking. Learning through hands-on activities and the use of concrete examples is an important aspect of this course. Successful completion of this course prepares students for Grade 10 Foundations of Mathematics, Applied (MFM2P1).
Note: Students who wish to take Grade 10 Principles of Mathematics, Academic (MPM2D1) after completing this course will need to take a transfer course.
MAT1L1 – Mathematics, Grade 9, Locally Developed Compulsory Credit
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.
MPM2D1 – Principles of Mathematics, Grade 10, Academic
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 relationships 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 as they solve multi-step problems and communicate their thinking.
Prerequisite:MPM1D1
MFM2P1 – Foundations of Mathematics, Grade 10, Applied
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 analytic 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-angled triangles, and the measurement of three-dimensional objects. Students will consolidate their mathematical skills as they solve problems and communicate their thinking.
Prerequisite:MPM1D1 or MPM1P1
MAT2L1 – Mathematics, Grade 10, Locally Developed Compulsory Credit
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: MPM1D1 or MPM1P1 or MAT1L1
MCR3U1 – Functions, Grade 11, University Preparation
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; and develop facility in simplifying polynomial and rational expressions. Students will reason mathematically and communicate their thinking as they solve multi-step problems.
Prerequisite:MPM2D1
MCF3M1 – Functions and Applications, Grade 11, University/College Preparation
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 financial and trigonometric applications. Students will reason mathematically and communicate their thinking as they solve multi-step problems.
Prerequisite: MPM2D1 or MFM2P1
MBF3C1 – Foundations for College Mathematics, Grade 11, College Preparation
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, as well as of measurement and geometry; investigate situations involving exponential growth; solve problems involving compound interest; solve financial problems connected with vehicle ownership; and develop their ability to reason by collecting, analysing, and evaluating data involving one and two variables. Students will consolidate their mathematical skills as they solve problems and communicate their thinking.
Prerequisite: MFM2P1
MEL3E1 – Mathematics for Work and Everyday Life, Grade 11, Workplace Preparation
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: MPM2D1 or MFM1P1 or MAT2L1
MAP4C1 – College and Apprenticeship Mathematics, Grade 12, College
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: MBF3C1 or MCF3M1
MCV4U1 – Calculus and Vectors, Grade 12, University
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 Advanced Functions course MHF4U1 must be taken prior to or concurrently with Calculus and Vectors MCV4U1
MCT4C1 – Mathematics for College Technology, Grade 12, College
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: MCF3M1 or MCR3U1
MDM4U1 – Mathematics of Data Management, Grade 12, University
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: MCF3M1 or MCR3U1
MEL4E1 – Mathematics for Everyday Life, Grade 12, Workplace
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: MEL3EL
MHF4U1 – Advanced Functions, Grade 12, University
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: MCR3U1 or MCT4C1