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Math Curriculum
Prerequisite Chart for Mathematics

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This chart maps out all the courses in the discipline and shows the links between courses and the minimum requirements for them. It does not attempt to depict all possible movements from course to course.



Note: MHF4U1 - While MCV4U can be taken concurrently with MHF4U, it is strongly recommended students take MHF4U before MCV4U


MPM1D1 (Academic)
Principles of Mathematics
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 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 multistep problems.
Prerequisites: None Credits: 1
Note: Students considering Univerity programs, who earned mostly Level 3 and 4 in Grade 8 Math, and who are comfortable with abstract thinking in Math (e.g. Algebra), should consider this course.

MFM1P1 (Applied)
Foundations of Mathematics
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.
Prerequisites: None Credits: 1
Note: Students who learn best through a hands-on approach, and who struggled with some concepts in Grade 8 Math should consider this course which leads to College and some Univserity Level senior Courses.

MAT1L1 (Locally Developed)
Grade 9 Mathematics
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 MAT2L1 (Locally Developed) course, and in the Mathematics Grade 11 and Grade 12 Workplace Preparation courses. The course is organized in three stran
ds 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 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.
Prerequisites: None Credits: 1
Note: Students who worked on Math expectations below Grade Level in Grade 8 should consider this class to have the opportunity to consolidate skills, and if successful could then take MFM1P1

MPM2D1 (Academic)
Principles of Mathematics
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 multistep problems and communicate their thinking.
Prerequisites: MPM1D1 Credits: 1

MFM2P1 (Applied)
Foundations of Mathematics
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.
Prerequisites: MPM1D1 or MFM1P1 Credits: 1
Note: Students who learn best through a hands-on approach, benefit from multiple representations or who struggled in the academic path should consider this course which leads to College and some University level senior courses.

MAT2L1 (Locally Developed)
Grade 10 Mathematics
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 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.
Prerequisites: MAT1L1, MFM1P1 or MPM1D1 Credits: 1
Note: This course is appropriate for students who need to consolidate skills after completing MAT1L1; students who achieve considerable success in MAT1L1 could consider MEL3E1.

MCR3U1 (University) Functions
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 polynominal and rational expressions. Students will reason mathematically and communicate their thinking as they solve multi-step problems.
Prerequisites: MPM2D1 Credits: 1
Note: Students who earn Level 3 or 4 with good Learning Skills in MPM2D1 are prepared for this course; students who earn Level 1 or 2 in MPM2D1 should consider the MCF3M1.

MCF3M1 (University/College)
Functions and Applications
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.
Prerequisites: MPM2D1 or MFM2P1 Credits: 1
Note: MCF3M1 is a prerequisite for MCT4C1 and MDM4U1 courses; students who do very well in MFM2P1 (strong Level 3 and Level 4) or who need consolidation after MPM2D1 (earned Level 1 or Level 2) should consider this course.

MBF3C1 (College)
Foundations for College Mathematics
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.
Prerequisites: MFM2P1 Credits: 1
Note: MBF3C1 is the prerequisite for MAP4C1, but MCF3M1 is required for MCT4C1 - study the flowchart at the beginning of this section to ensure you are choosing the right course for your post-secondary plans.

MEL3E1 (Workplace)
Mathematics for Work and Everyday Life
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.
Prerequisites: MPM1D1, MFM1P1, MAT2L1 or MFM2P1 Credits: 1
Note: MEL3E1 is appropriate for students who are planning to enter the work force or going on to College preparation programs after graduating.

MCV4U1 (University)
Calculus and Vectors
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, rational, exponential, and sinusoidal 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 plan to study mathematics in university and who may choose to pursue careers in fields such as physics, engineering and science.
Prerequisites: MHF4U1 Credits: 1
Note: While MCV4U1 can be taken concurrently with MHF4U1, it is strongly recommended that students take MHF4U1 before MCV4U1.

MHF4U1 (University)
Advanced Functions
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 intended both for students who plan to study mathematics in university and for those wishing to consolidate their understanding of mathematics before proceeding to any one of a variety of university programs.
Prerequisites: MCR3U1 or MCT4C1 Credits: 1
Note: MHF4U1 is appropriate for students who showed considerable proficiency in MCR3U1 and who have good learning skills.

MDM4U1 (University)
Mathematics of Data Management
This course broadens students understanding of mathematics as it relates to managing data. Students will apply methods for organizing large amounts of information; solve problems involving probability and statistics; and carry out a culminating project 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.
Prerequisites: MCF3M1 or MCR3U1 Credits: 1

MCT4C1 (College) Offered 2014 - 2015
Mathematics for College Technology
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.
Prerequisites: MCF3M1 or MCR3U1 Credits: 1
Note: MCT4C1 is appropriate for students who showed considerable proficiency in MCF3M1 and is recommended by a variety of College Technology programs; though not required, students who take MCT4C1 are more successful in College Technology programs.

MAP4C1 (College)
Foundations for College Mathematics
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; 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.
Prerequisites: MBF3C1 Credits: 1

MEL4E1 (Workplace)
Mathematics for Work and Everyday Life
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 and create household budgets; 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.
Prerequisites: MEL3E1 Credits: 1
Note: MEL4E1 is appropriate for students who are planning to enter the work force or going on to College preparation programs after graduating.

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