Dufferin-Peel CDSB - Philip Pocock Catholic

Course Descriptions

Grade 9

Principles of Mathematics, Grade 9, Academic (MPM 1D1)

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 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. Successful completion of this course prepares students for Principles of Mathematics, Grade 10, Academic (MPM2D) or Foundations of Mathematics, Grade 10, Applied (MFM2P). Learning through abstract reasoning is an important aspect of this course.

Foundations of Mathematics, Grade 9, Applied (MFM 1P1)

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 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. Successful completion of this course prepares students for Foundations of Mathematics, Grade 10, Applied (MFM2P). Note: Students who wish to take Principles of Mathematics, Grade 10, Academic (MPM2D1) after completing this course will need to take a 0.5 credit transfer course. Learning through hands-on activities and the use of concrete examples is an important aspect of this course.

Mathematics, Grade 9, Locally Developed Compulsory Credit Course (MAT 1L1)

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 Grade 10 LDCC 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.

Grade 10

Principles of Mathematics, Grade 10, Academic (MPM 2D1)

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. The mathematics department strongly recommends successful completion of MPM1D1 with a minimum average of 65%. A transfer credit is required for students who have completed MFM1P1.
Prerequisite: MPM 1D1

Foundations of Mathematics, Grade 10, Applied (MFM 2P1)

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: MFM 1P1 or MPM 1D1

Principles of Mathematics, Grade 10, Academic (MPM 2DP)

This course enables students to broaden their understanding of relations, extend their skills in multi-step problem-solving and algebraic processes 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 traingles. In addition, students will investigate functions and their applications, develop an understanding of transformations of functions, develop facility in using function notation, operating with polynomial, rational, and exponential expressions, and communicating mathematical reasoning.
Prerequisite: MPM 1D1

Mathematics, Grade 10, Locally Developed Compulsory Credit Course (MAT 2L1)

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 probems-solving skills and to continue developing their skills in reading, writing, and oral language through relevant and practical math activities.
Prerequisite: A Grade 9 Mathematics credit

Grade 11

Functions, Grade 11, University Preparation (MCR 3U1)

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. The mathematics department strongly recommends a minimum average of 70% in MPM2D1.
Prerequisite: MPM 2D1

Functions, Grade 11, University Preparation (MCR 3UP)

Functions and Applications, Grade 11, University/College Preparation (MCF 3M1)

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 modeling 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. The mathematics department strongly recommends a minimum average of 65% in MPM2D1 or 70% in MFM2P1.
Prerequisite: MPM 2D1

Foundations for College Mathematics, Grade 11, College Preparation (MBF 3C1)

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 abililty to reason by collecting, analyzing, and evaluating data involving one and two variables. Students will consolidate their mathematical skills as they solve problems and communicate their thinking.
Prerequisite: MFM 2P1

Mathematics for Work and Everyday Life, Grade 11, Workplace Preparation (MEL 3E1)

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: MPM 1D1 or MFM 1P1 or MAT 231

Grade 12

Advanced Functions, Grade 12, University Preparation (MCB 4U1)

This course builds on students' experience with functions and their developing understanding of rate of change. 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 needed for the study of calculus in a variety of university courses. Students will continue to develop the mathematical processes necessary for success in senior mathematics. The mathematics department strongly recommends a minimum average of 65% in MCR3U1 or 70% in MCT4C1.
Prerequisite: Functions (Grade 11 University Preparation)

Advanced Functions, Grade 12, University Preparation (MCB 4UP*)

Geometry and Algebra, Grade 12, University Preparation (MGA 4U1)

This course enables students to broaden their understanding of mathematics by examining concepts from a geometric and an algebraic perspective. Students will investigate concepts and solve problems involving vectors in two and three dimensional space and conics and vectors and apply their reasoning skills to develop an understanding of proof, using deductive, algebraic, and indirect methods. Students will continue to develop the mathematical processes necessary for success in senior mathematics. This course prepares students for university programs in mathematics, engineering, and science. The mathematics department strongly recommends a minimum average of 70% in MCR3U1.
Prerequisite: MCR 3U1

Mathematics of Data Management, Grade 12, University Preparation (MDM 4U1)

This course broadens students' understanding of mathematics as it relates to managing information. Students will apply methods for organizing large amounts of information; solve problems involving counting techniques, probability, and statistics; and carry out a culminating project that integrates the expectations of the course. Students will continue to develop the mathematical processes necessary for success in senior mathematics. Students planning to pursue university programs in business, the social sciences, and the humanities will find this course of particular interest. The mathematics department strongly recommends a minimum average of 70% in MCF3U1 or 60% in MCR3U1.
Prerequisite: Functions and Relations, Grade 11, University Preparation, or Functions, Grade 11, University/College Preparation

Foundations for College Mathematics, Grade 12, College Preparation (MAP 4C1)

This course enables students to broaden their understanding of real-world appications of mathematics. Students will analyze data using statistical methods; solve problems involving applications of geometry and trigonometry; apply measurement in designing and constructing physical models; solve problems connected with home ownership; 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: Foundations for College Mathematics, Grade 11, College Preparation, or Functions, Grade 11, University/College Preparation (or Functions and Relations, Grade 11, University Preparation)

Mathematics for College Technology, Grade 12, College Preparation (MCT 4C1)

This course enables students to extend their knowledge of functions. Students will investigate and apply properties of polynomial, rational, exponential, and trigonometric functions; continue to represent functions numerically, graphically, and algrebraically; develop facility in simplifying expressions and solving equations; and solve problems that address applications of algebra, trigonometry, and vectors. 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: Functions and Applications (Grade 11 University/College Preparation), or Functions (Grade 11 University Preparation)

Mathematics for Work and Everyday Life, Grade 12, Workplace Preparation (MEL 4E1)

This course enables students to broaden their understanding of mathematics as it is applied in the workplace and daily life. Students will use statistics in investigating questions; apply the concept of probability to solve problems in 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.
Prerequisite: MEL 3E1