## Principles of Mathematics (Academic) MPM1DI

This course enables students to develop 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.

**CREDIT:** 1

**TYPE:** Academic

**GRADE:** 9

## Principles of Mathematics (Pre AP) MPM1DP

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 linear relation. They will also explore relationships that emerge from the measurement of three-dimensional figures and two-dimensional shapes. Students will reason mathematically and communicate their thinking as they solve multi-step problems.

**COURSE NOTE:** This course is recommended for students seeking enrichment and whose average exceeds the provincial average of 75%. Advanced Placement is for highly able learners looking to be challenged, who are passionate about learning, and who are self-motivated learners with strong communication, organization, and critical thinking skills.

**CREDIT:** 1

**TYPE:** Academic

**GRADE:** 9

## Foundations of Mathematics (Applied) MFM1PI

This course enables students to develop 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).

**CREDIT:** 1

**TYPE:** Applied

**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

**GRADE:** 9

## Foundations of Mathematics (ESL ONLY) MFM1PX

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 relations, and will determine the connections between the representations. They will also explore certain relationships that emerge from the measurement of three-dimensional figures and two-dimensional shapes. Students will consolidate their mathematical skills as they solve problems and communicate their thinking.

**COURSE NOTE:** This course will be offered to ESL students wanting to study mathematics at the Academic or Applied levels.

**CREDIT:** 1

**TYPE:** ESL Course

**GRADE:** 9

## Principles of Mathematics (Academic) 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.

**CREDIT:** 1

**TYPE:** Academic

**GRADE:** 10

**PREREQUISITE:** MFM1PX – Foundations of Mathematics (ESL ONLY) or MPM1DI – Principles of Mathematics (Academic)

**CREDIT EQUIVALENTS:** MPM2DP – Principles of Mathematics (Pre AP) is a similar course and you will not receive credit for taking both.

## Principles of Mathematics (Pre AP) MPM2DP

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:** This course is recommended for students seeking enrichment and whose average exceeds the provincial average of 75%. Advanced Placement is for highly able learners looking to be challenged, who are passionate about learning, and who are self-motivated learners with strong communication, organization, and critical thinking skills.

**CREDIT:** 1

**TYPE:** Academic

**GRADE:** 10

**PREREQUISITE:** MPM1DI – Principles of Mathematics (Academic) or MFM1PI – Foundations of Mathematics (Applied) or MFM1PX – Foundations of Mathematics (ESL ONLY)

**COREQUISITES:** If you take this course, you must also take SNC2DP – Science (Pre AP)

**CREDIT EQUIVALENTS:** MPM2DI – Principles of Mathematics (Academic) is a similar course and you will not receive credit for taking both.

## Foundations of Mathematics (Applied) 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.

**CREDIT:** 1

**TYPE:** Applied

**GRADE:** 10

**PREREQUISITE:** MFM1PI – Foundations of Mathematics (Applied) or MPM1DI – Principles of Mathematics (Academic) or MFM1PX – Foundations of Mathematics (ESL ONLY)

**CREDIT EQUIVALENTS:** MFM2PX – Foundations of Mathematics (ESL Only) is a similar course and you will not receive credit for taking both.

## Foundations of Mathematics (ESL Only) MFM2PX

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:** This course will be offered to ESL students wanting to study mathematics at the Academic or Applied levels

**CREDIT:** 1

**TYPE:** Applied

**GRADE:** 10

**PREREQUISITE:** MFM1PI – Foundations of Mathematics (Applied) or MFM1PX – Foundations of Mathematics (ESL ONLY) or MPM1DI – Principles of Mathematics (Academic)

**CREDIT EQUIVALENTS:** MFM2PI – Foundations of Mathematics (Applied) is a similar course and you will not receive credit for taking both.

## 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 (Applied) or MPM1DI – Principles of Mathematics (Academic) or MAT1LI – Mathematics (Essential) or MFM1PX – Foundations of Mathematics (ESL ONLY)

## 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.

**CREDIT:** 1

**TYPE:** University

**GRADE:** 11

**PREREQUISITE:** MPM2DI – Principles of Mathematics (Academic) or MPM2DP – Principles of Mathematics (Pre AP)

**CREDIT EQUIVALENTS:** MCR3UP – Functions, Grade 11, University Preparation (Enriched) is a similar course and you will not receive credit for taking both.

## Functions, Grade 11, University Preparation (Enriched) MCR3UP

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:** This course is recommended for students seeking enrichment and whose average in Math exceeds the provincial average of 75%. Students should download a Student Application for Enriched Programmes Form from the school website and submit the completed form to guidance.

**CREDIT:** 1

**TYPE:** University

**GRADE:** 11

**PREREQUISITE:** MPM2DI – Principles of Mathematics (Academic) or MPM2DP – Principles of Mathematics (Pre AP)

**CREDIT EQUIVALENTS:** MCR3UI – Functions, Grade 11, University Preparation is a similar course and you will not receive credit for taking both.

## 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.

**CREDIT:** 1

**TYPE:** College/University

**GRADE:** 11

**PREREQUISITE:** MFM2PI – Foundations of Mathematics (Applied) or MPM2DI – Principles of Mathematics (Academic) or MPM2DP – Principles of Mathematics (Pre AP)

## eLearn – Foundations for College Mathematics MBF3CE

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:** This eLearning course may be an alternative for students with strong independent work skills when the regular day school course is full or unavailable. A separate application is required. Make an appointment with your guidance counsellor to discuss suitability.

**CREDIT:** 1

**TYPE:** College

**GRADE:** 11

**PREREQUISITE:** MFM2PI – Foundations of Mathematics (Applied) or MFM2PX – Foundations of Mathematics (ESL Only)

**CREDIT EQUIVALENTS:** MBF3CI – Foundations for College Mathematics is a similar course and you will not receive credit for taking both.

## 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.

**CREDIT:** 1

**TYPE:** College

**GRADE:** 11

**PREREQUISITE:** MFM2PI – Foundations of Mathematics (Applied) or MPM2DI – Principles of Mathematics (Academic) or MFM2PX – Foundations of Mathematics (ESL Only)

**CREDIT EQUIVALENTS:** MBF3CE – eLearn – Foundations for College Mathematics is a similar course and you will not receive credit for taking both.

## 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 (Applied) or MPM1DI – Principles of Mathematics (Academic) or MAT2LI – Mathematics (Essential) or MFM1PX – Foundations of Mathematics (ESL ONLY)

## Calculus and Vectors 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.**CREDIT:** 1

**TYPE:** University

**GRADE:** 12

**PREREQUISITE:** Advanced Functions, Grade 12, University Preparation, must be taken prior to or concurrently with Calculus and Vectors.

**CREDIT EQUIVALENTS:** MCV4UP – Advanced Placement Calculus is a similar course and you will not receive credit for taking both.

## 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.**CREDIT:** 1

**TYPE:** University

**GRADE:** 12

**PREREQUISITE:** MCF3MI – Functions and Applications, Grade 11, University/College Preparation or MCR3UP – Functions, Grade 11, University Preparation (Enriched) or MCR3UI – Functions, Grade 11, University Preparation

**CREDIT EQUIVALENTS:** MDM4UP – Advanced Placement Mathematics of Data Management is a similar course and you will not receive credit for taking both.

## Advanced Placement Mathematics of Data Management MDM4UP

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.

If there is sufficient student interest, the St. Mary’s math department will be offering a double credit in Calculus (MCV4U) and Data Management (MDM4U) with preparation time given to an Advanced Placement examination. This double credit opportunity should be considered an enrichment opportunity and of interest to students pursuing math related university studies. Students interested in this 2 credit package will complete an independent assignment for Data Management (statistics) during the summer of 2012. The Ontario Curriculum for MCV4U will be taught first semester, 2012 and be completed at the end of semester 1 of next school year. Second semester will be the combined curriculum of Ontario’s MDM 4U (Probabilty and Probability Distributions) as well as time given in preparation for an Advanced Placement Calculus A/B exam in May, 2013. It is necessary that students have access to a computer with MS Excel as well as the internet during the summer of 2012.**COURSE NOTE:** Students are encouraged to download a Student Application for Enriched Programmes Form from the school website and submit the completed form to guidance.

**CREDIT:** 1

**TYPE:** University

**GRADE:** 12

**COREQUISITES:** If you take this course, you must also take MCV4UP – Advanced Placement Calculus

**CREDIT EQUIVALENTS:** MDM4UI – Mathematics of Data Management, Grade 12, University Preparation is a similar course and you will not receive credit for taking both.

## Advanced Functions 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.**CREDIT:** 1

**TYPE:** University

**GRADE:** 12

**PREREQUISITE:** MCT4CI – Mathematics for College Technology, Grade 12, College Preparation or MCR3UI – Functions, Grade 11, University Preparation or MCR3UP – Functions, Grade 11, University Preparation (Enriched)

## Advanced Placement Calculus MCV4UP

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.

If there is sufficient student interest, the St. Mary’s math department will be offering a double credit in Calculus (MCV4U) and Data Management (MDM4U) with preparation time given to an Advanced Placement examination. This double credit opportunity should be considered an enrichment opportunity and of interest to students pursuing math related university studies. Students interested in this 2 credit package will complete an independent assignment for Data Management (statistics) during the summer of 2012. The Ontario Curriculum for MCV4U will be taught first semester, 2012 and be completed at the end of semester 1 of next school year. Second semester will be the combined curriculum of Ontario’s MDM 4U (Probabilty and Probability Distributions) as well as time given in preparation for an Advanced Placement Calculus A/B exam in May, 2013. It is necessary that students have access to a computer with MS Excel as well as the internet during the summer of 2012.**COURSE NOTE:** Students are encouraged to download a Student Application for Enriched Programmes Form from the school website and submit the completed form to guidance.

**CREDIT:** 1

**TYPE:** Advanced Placement

**GRADE:** 12

**PREREQUISITE:** Advanced Functions, Grade 12, University Preparation, must be taken prior to or concurrently with Calculus and Vectors.

**COREQUISITES:** If you take this course, you must also take MDM4UP – Advanced Placement Mathematics of Data Management

**CREDIT EQUIVALENTS:** MCV4UI – Calculus and Vectors is a similar course and you will not receive credit for taking both.

## 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.**CREDIT:** 1

**TYPE:** College

**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

## 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.**CREDIT:** 1

**TYPE:** College

**GRADE:** 12

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

See the E-Learning tab if you are considering that type of course.