## Mathematics

**Grade 9:** content well emphasize on linear relationships. Students will have a chance to utilize the graphing calculator.

**Grade 10:** content will emphasize on the quadratic relationships, further analysis of these relationships can be explored using graphing calculators or computer softwares.

**Grade 11:** students begin to explore more specialized functions such as trigonometic and exponential. This will prepare them to further their Math study in their final year.

*Math, Science & Technology departments are working together to create the M2ScT (Masters) Program. This program is for high achievers in the 3 areas.*

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Course Content

Grade 9

**MFM1P Foundations of Mathematics, Applied**

This course enables students to develop mathematical ideas and methods through exploration of applications, the effective use of technology, and extended experiences with hands-on activities. Students will investigate relationships of straight lines in analytic 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.

**MPM1D Principles of Mathematics, Academic**

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 lines 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.

## Grade 10

**MFM2P Foundations of Mathematics, Applied**

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 solving problems will be a focus of the course.

*Recommended Preparation: Foundations of Math, Grade 9, Applied*

**MPM2D Principles of Mathematics, Academic**

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 triangles; and develop supporting algebraic skills.

*Recommended Preparation: Principle Mathematics, Grade 9, Academic*

## Grade 11

**MCF3M Functions, University / College Preparation**

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 polynomial, rational, and exponential expressions; develop an understanding of inverse and transformations of functions; and develop facility in using function notation and in communicating mathematical reasoning.

*Prerequisite: Principles of Mathematics, Grade 10, Academic*

**MCR3U Functions and Relations, University Preparation**

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 polynomial, rational, and exponential expressions; develop an understanding of inverses and transformations of functions; and develop facility in using notation and in communicating mathematical reasoning. Students will also investigate loci and the properties and applications of conics.

*Prerequisite: Principles of Mathematics, Grade 10, Academic*

**MBF3C Mathematics of Personal Finance, College Preparation**

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.

*Prerequisite: Principles of Mathematics, Grade 10, Academic*

**MEL3E Mathematics for Everyday Life, Workplace Preparation**

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: Mathematics, Grade 9, Academic, Applied, or Essential Recommended Preparation: Mathematics, Grade 10, Essential*

## Grade 12

**MCV4U Calculus and Vectors, University Preparation**

The

**Grade 12 university preparation course Calculus and Vectors**is designed to prepare students for university programs, such as science, engineering, and economics that include a calculus or linear algebra course in the first year. Calculus is introduced in the Rate of Change strand by extending the numeric and graphical representation of rates of change introduced in the Advanced Functions course to include more abstract algebraic representations. The Derivatives and Their Applications strand provides students with the opportunity to develop the algebraic and problem-solving skills needed to solve problems associated with rates of change. Prior knowledge of geometry and trigonometry is used in the Geometry and Algebra of Vectors strand to develop vector concepts that can be used to solve interesting problems, including those arising from real-world applications.

*MHF4U must be taken prior to MCV4U*.

*Prerequisite: MHF4U, Grade 12, Advanced Functions, University Preparation*

**MHF4U Advanced Functions, University Preparation**

The

**Grade 12 university preparation course Advanced Functions**satisfies the mathematical prerequisite for some universities in areas that include business, social science, and health science programs. The strands in this course help students deepen their understanding of functions by revisiting the exponential and trigonometric functions introduced in Grade 11 to address related concepts such as radian measure and logarithmic functions and by extending prior knowledge of quadratic functions to explore polynomial and rational functions. The Characteristics of Functions strand addresses some of the general features of functions through the examination of rates of change and methods of combining functions.

**MAP4C Foundations for College Math, College Preparation**

The

**Grade 12 college preparation course Foundations for College Mathematics**satisfies the mathematical prerequisites for many college programs, including programs in business, human services, hospitality and tourism, and some of the health sciences. The four strands of this course focus on the same areas of mathematics addressed in the Grade 11 college preparation course, Foundations for College Mathematics. The Mathematical Models strand extends the concepts and skills that related to exponential relations introduced in Grade 11 and provides students with an opportunity to revisit all of the relations they have studied in the secondary mathematics program by using a graphical and algebraic approach. The Personal Finance strand focuses on annuities and mortgages, renting or owning accommodation, and designing budgets. Problem solving in the Geometry and Trigonometry strand reinforces the application of relationships associated with a variety of shapes and figures. The fourth strand, Data Management, addresses practical applications of two-variable statistics and examines applications of data management.

**MDM4U Mathematics of Data Management, University Preparation**

The

**Grade 12 university preparation course Mathematics of Data Management**is designed to satisfy the prerequisites for a number of university programs that may include statistics courses, such as those found in the social sciences and the humanities. The expectations in the strands of this course require students to apply mathematical process skills developed in prerequisite courses, such as problem solving, reasoning, and communication, to the study of probability and statistics. The Counting and Probability strand extends the basic probability concepts learned in the elementary school program and introduces counting techniques such as the use of permutations and combinations; these techniques are applied to both counting and probability problems. The Probability Distributions strand introduces the concept of probability distributions; these include the normal distribution, which is important in the study of statistics. In the Organization of Data for Analysis strand, students examine, use, and develop methods for organizing large amounts of data, while in the Statistical Analysis strand, students investigate and develop an understanding of powerful concepts used to analyse and interpret large amounts of data. These concepts are developed with the use of technological tools such as spreadsheets and Fathom, a ministry-licensed dynamic statistical program. The Culminating Data Management Investigation strand requires students to undertake a culminating investigation dealing with a significant issue that will require the application of the skills from the other strands of the course.

**MCT4C Mathematics for College Technology, College Preparation**

The

**Grade 12 college preparation course Mathematics for College Technology**provides excellent preparation for success in technology-related programs at the college level. It extends the understanding of functions developed in the Grade 11 university/college preparation course, Functions and Applications, using a more applied approach, and may help students who decide to pursue certain university programs to prepare for the Grade 12 university preparation course Advanced Functions. Exponential and trigonometric functions are revisited, developing algebraic skills needed to solve problems involving exponential equations and extending the skills associated with graphical representations of trigonometric functions. The Polynomial Functions strand extends to polynomial functions concepts that connect graphs and equations of quadratic functions. Finally, students apply geometric relationships to solve problems involving composite shapes and figures and investigate the properties of circles and their applications.