## Mathematics, Grade 9 MTH 1W

This course enables students to consolidate, and continue to develop, an understanding of mathematical concepts related to number sense and operations, algebra, measurement, geometry, data, probability, and financial literacy. Students will use mathematical processes, mathematical modelling, and coding to make sense of the mathematics they are learning and to apply their understanding to culturally responsive and relevant real-world situations. Students will continue to enhance their mathematical reasoning skills, including proportional reasoning, spatial reasoning, and algebraic reasoning, as they solve problems and communicate their thinking.

**CREDIT:** 1

**TYPE:** De-Streamed

**GRADE:** 9

## Mathematics – Essential MAT1LI

This course focuses on the knowledge and skills required to be well prepared for success in the Grade 10 Locally-developed Mathematics (MAT2L). It will support students in developing and enhancing strategies that they need to develop mathematical literacy skills and the confidence to use these skills in their day-to-day lives. The areas of Money Sense, Measurement and Proportional Reasoning form the basis of the course content.

**CREDIT:** 1

**TYPE:** Essential

## Principles of Mathematics MPM2DI

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 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 triangles. Students will reason mathematically and communicate their thinking as they solve multi-step problems.

**COURSE NOTE:** Students must have developed strong math skills and continue to work well independently. Daily homework completion is essential for success.

**CREDIT:** 1

**TYPE:** Academic

**GRADE:** 10

**PREREQUISITE:
**Before September 2022: MPM1DI – Principles of Mathematics or MFM2PI – Foundations of Mathematics – with minimum grade of 65%

After September 2022: MTH 1W – Mathematics, Grade 9 – with recommended achievement of 75% or higher

## Foundations of Mathematics MFM2PI

This course enables students to consolidate their understanding of linear relations 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 relations. Students will investigate similar triangles, the trigonometry of right triangles, and the measurement of three-dimensional figures. Students will consolidate their mathematical skills as they solve problems and communicate their thinking.

**COURSE NOTE:** Recommended minimum grade 9 applied (MFM1PI) grade is 65%.

**CREDIT:** 1

**TYPE:** Applied

**GRADE:** 10

**PREREQUISITE:
**Before September 2022: MPM1DI – Principles of Mathematics or MFM1PI – Foundations of Mathematics with minimum grade of 65%

After September 2022: MTH 1W – Mathematics, Grade 9 – with recommended achievement of 65% or greater

## Mathematics – Essential MAT2LI

This Grade 10 course is designed to allow students to solidify and extend their understanding of, and confidence in using, the concepts developed in MAT1L so that they are well prepared for success in the Mathematics Grade 11 Workplace Preparation course (MEL3E). In the Grade 10 course, students are asked to demonstrate a greater depth of understanding and level of complexity, in contexts that move them from their immediate personal environment to the larger community.

**CREDIT:** 1

**TYPE:** Essential

**GRADE:** 10

**PREREQUISITE: **MFM1PI – Foundations of Mathematics (before Sept 2022), MTH 1W (after Sept 2022), or MAT1LI – Mathematics – Essential

## Functions, Grade 11, University Preparation MCR3UI

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; investigate inverse functions; and develop facility in determining equivalent algebraic expressions. Students will reason mathematically and communicate their thinking as they solve multi-step problems.

**COURSE NOTE:** Students must have developed strong math skills and must work well independently. Daily homework completion is essential for success in this course. Recommended minimum mark in grade 10 Academic math (MPM2DI) is 75%.

**CREDIT:** 1

**TYPE:** University

**GRADE:** 11

**PREREQUISITE:** MPM2DI – Principles of Mathematics

## Functions and Applications, Grade 11, University/College Preparation MCF3MI

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 applications. Students will reason mathematically and communicate their thinking as they solve multi-step problems.

**COURSE NOTE:** Recommend 75% in grade 10 applied math (MFM2PI) or 65% in grade 10 academic math (MPM2DI) to ensure success in MCF3MI.

**CREDIT:** 1

**TYPE:** College/University

**GRADE:** 11

**PREREQUISITE:** MBF3CI – Foundations for College Mathematics or MFM2PI – Foundations of Mathematics or MPM2DI – Principles of Mathematics

## Foundations for College Mathematics MBF3CI

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; investigate situations involving exponential growth; solve problems involving compound interest; solve financial problems connected with vehicle ownership; develop their ability to reason by collecting, analysing, and evaluating data involving one variable; connect probability and statistics; and solve problems in geometry and trigonometry. Students will consolidate their mathematical skills as they solve problems and communicate their thinking.

**COURSE NOTE:** Recommended minimum grade in grade 10 applied (MFM2PI) is 65%.

**CREDIT:** 1

**TYPE:** College

**GRADE:** 11

**PREREQUISITE:** MPM2DI – Principles of Mathematics or MFM2PI – Foundations of Mathematics

## Mathematics for Work and Everyday Life, Grade 11, Workplace Preparation MEL3EI

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.

**CREDIT:** 1

**TYPE:** Workplace

**GRADE:** 11

**PREREQUISITE:** MFM1PI – Foundations of Mathematics or MFM2PI – Foundations of Mathematics or MPM1DI – Principles of Mathematics or MPM2DI – Principles of Mathematics or MAT2LI – Mathematics – Essential

## Calculus and Vectors, Grade 12, University Preparation MCV4UI

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.

**COURSE NOTE:** Recommend 70% in MHF4U.

**CREDIT:** 1

**TYPE:** University

**GRADE:** 12

**PREREQUISITE:** MHF4UI – Advanced Functions, Grade 12, University Preparation

## Mathematics of Data Management, Grade 12, University Preparation MDM4UI

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.

**COURSE NOTE:** Recommend MCF3M 75%; MCR3U 65%;

**CREDIT:** 1

**TYPE:** University

**GRADE:** 12

**PREREQUISITE:** MCF3MI – Functions and Applications, Grade 11, University/College Preparation or MCR3UI – Functions, Grade 11, University Preparation

## Advanced Functions, Grade 12, University Preparation MHF4UI

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.

**COURSE NOTE:** Students must have developed strong math skills and must work well independently. Daily homework completion is essential for success in this course. Recommended minimum mark in grade 12 Math for College Technology (MCT4CI) is 75%; or grade 11 Functions, University level (MCR3UI) is 65%.

**CREDIT:** 1

**TYPE:** University

**GRADE:** 12

**PREREQUISITE:** MCR3UI – Functions, Grade 11, University Preparation or MCT4CI – Mathematics for College Technology, Grade 12, College Preparation

## Foundations for College Mathematics, Grade 12, College Preparation MAP4CI

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.

**COURSE NOTE:** Recommended minimum grade in grade 11 college (MBF3CI) is 65%.

**CREDIT:** 1

**TYPE:** College

**GRADE:** 12

**PREREQUISITE:** MCF3MI – Functions and Applications, Grade 11, University/College Preparation or MCR3UI – Functions, Grade 11, University Preparation or MBF3CI – Foundations for College Mathematics

## Mathematics for College Technology, Grade 12, College Preparation MCT4CI

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.

**COURSE NOTE:** Recommended minimum grade in MCF3MI is 75%.

**CREDIT:** 1

**TYPE:** College

**GRADE:** 12

**PREREQUISITE:** MCR3UI – Functions, Grade 11, University Preparation or MCF3MI – Functions and Applications, Grade 11, University/College Preparation

## Mathematics for Work and Everyday Life, Grade 12, Workplace Preparation MEL4EI

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.

**CREDIT:** 1

**TYPE:** Workplace

**GRADE:** 12

**PREREQUISITE:** MBF3CI – Foundations for College Mathematics or MCF3MI – Functions and Applications, Grade 11, University/College Preparation or MCR3UI – Functions, Grade 11, University Preparation or MEL3EI – Mathematics for Work and Everyday Life, Grade 11, Workplace Preparation