## MPM1D1

## Principles of Mathematics • Grade 9 • Academic

This course enables students to develop an understanding of mathematical concepts related to algebra, analytic geometry, 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.

Prerequisite: None

## MFM1P1

## Foundations of Mathematics • Grade 9 • Applied

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).

Prerequisite: None

## MAT1L1

## Mathematics • Grade 9 • Locally Developed

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 LDC course, and in the Mathematics Grade 11 and Grade 12 Workplace Preparation Courses. This 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.

Prerequisite: None

## 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. Note: In order for students to meet the standards of this course with success and confidence, a minimum of 70% in MPM1D1 is recommended.

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: MFM1P1 or MPM1D1

## MAT2L1

## Mathematics • Grade 10 • Locally Developed

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 Mathematics Grade 11 and Grade 12 Workplace Preparation courses. This 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 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.

Prerequisite: MAT1L1, MFM1P1 or MPM1D1

## MCR3U1

## Functions • Grade 11 • University

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. Students will also investigate loci and the properties and applications of conics. Note: In order for students to meet the standards of this course with success and confidence, a minimum of 70% in MPM2D1 is recommended.

Prerequisite: MPM2D1

## MCF3M1

## Functions and Applications • Grade 11 • University/College

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. Note: In order for students to meet the standards of this course with success and confidence, a minimum of 80% in MFM2P1 is recommended.

Prerequisite: MPM2D1 or MFM2P1

## MBF3C1

## Foundations for College Mathematics • Grade 11 • College

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. Note: In order for students to meet the standards of this course with success and confidence, a minimum mark of 70% in MFM2P1 is recommended.

Prerequisite: MFM2P1

## MEL3E1

## Mathematics for Work and Everyday Life • Grade 11 • Workplace

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: MFM1P1 or MAT2L1

## 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; 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.

Prerequisite: MCR3U1

## 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, 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 and engineering.

Note: The new Advanced Functions (MHF4U1) can be taken concurrently with or can precede Calculus and Vectors.

Prerequisite: MHF4U1

## 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 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.

Prerequisite: MCF3M1 or MCR3U1

## MAP4C1

## Foundations for College 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; 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

## MEL4E1

## Mathematics for Work and 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 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: MEL3E1