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Foundations of Mathematics, Grade 9, Applied

MATHEMATICS - MFM1P:
This course enables students to develop mathematical ideas and methods through the exploration of applications, the effective use of technology, and extended experiences with hands-on activities. Students will investigate relationships of straight lines in analytical geometry, solve problems involving the measurement of 3-dimensional objects and 2-dimensional figures, and apply key numeric and algebraic skills in problem solving. Students will also have opportunities to consolidate core skills and deepen their understanding of key mathematical concepts.


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Principles of Mathematics, Grade 9, Academic

MATHEMATICS - MPM1D:
This course enables students to develop generalizations of mathematical ideas and methods through the exploration of applications, the effective use of technology, and abstract reasoning. Students will investigate relationships to develop equations of straight line in analytic geometry, explore relationships between volume and surface area of objects in measurement, and apply extended algebraic skills in problem solving. Students will engage in abstract extensions of core learning that will deepen their mathematical knowledge and enrich their understanding.


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Foundations of Mathematics, Grade 10, Applied

MATHEMATICS - MFM2P:
This course enables students to consolidate their understanding of key mathematical concepts through hands-on activities and to extend their problem-solving experiences in a variety of applications. Students will solve problems involving proportional reasoning and the trigonometry of right triangles; investigate applications of piecewise linear functions; solve and apply systems of linear equations; and solve problems involving quadratic functions. The effective use of technology in learning and in solving problems will be a focus of the course.

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Principles of Mathematics, Grade 10, Academic

MATHEMATICS - MPM2D:
This course enables students to broaden their understanding of relations, extend their skills in multi-step problem solving, and continue to develop their abilities in abstract reasoning. Students will pursue investigations of quadratic functions and their applications; solve and apply linear systems; solve multi-step problems in analytic geometry to verify properties of geometric figures; investigate the trigonometry of right and acute tirangles; and develop supporting algebraic skills.


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Grade 11

MATHEMATICS FOR EVERYDAY LIFE, WORKPLACE PREPARATION - MEL3E:
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: MFM1P or MPM1D

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MATHEMATICS OF PERSONAL FINANCE, COLLEGE PREPARATION - MBF3C:
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: MFM2P

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FUNCTIONS, UNIVERSITY/COLLEGE PREPARATION - MCF3M:
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: MPM2D

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FUNCTIONS AND RELATIONS, UNIVERSITY PREPARATION - MCR3U:
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: MPM2D

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Grade 12

MATHEMATICS FOR EVERYDAY LIFE, WORKPLACE PREPARATION - MEL4E:
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: MEL3E

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COLLEGE AND APPRENTICESHIP MATHEMATICS, COLLEGE PREPARATION - MAP4C:
This course equips students with the mathematical knowledge and skills they will need in many college programs. Students will use statistical methods to analyse 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 analysing and interpreting mathematical models.
Prerequisite: MBF3C, MCF3M or MCR3U

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MATHEMATICS FOR COLLEGE TECHNOLOGY, COLLEGE PREPARATION - MCT4C:
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 analyse models of a variety of functions, solve problems involving piecewise-defined function, solve linear-quadratic systems, and consolidate key manipulation and communication skills.
Prerequisite: MCF3M or MCR3U

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MATHEMATICS OF DATA MANAGEMENT, UNIVERSITY PREPARATION - MDM4U:
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 modelling 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: MCF3M or MCR3U

Web Site: Searchable Glossary

Web Site: Venn Diagram Problemss

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ADVANCED FUNCTIONS AND INTRODUCTORY CALCULUS, UNIVERSITY PREPARATION - MCB4U:
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: MCF3M or MCR3U

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GEOMETRY AND DISCRETE MATHEMATICS, UNIVERSITY PREPARATION - MGA4U:
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: MCR3U

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Updated 5 January 2007: JC