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**MATHEMATICS CHART for GRADES 9-12**

#### Grade 9 **Mathematics** (Locally Developed) **MAT 1LR**

** **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 LDCC course, and in the Mathematics Grade 11 and Grade 12 Workplace Preparation courses. The 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.

*This course is intended for students who have experienced considerable difficulty in Mathematics in elementary school.*

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#### Grade 9 **Foundations of Mathematics** (Applied) **MFM 1PR**

** **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.

#### Grade 9 **Principles of Mathematics** (Academic) **MPM 1DR**

** **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.

*NOTE: Students planning to take MPM2DR must successfully complete MPM1DR.*

#### Grade 10 **Mathematics** (Locally Developed) **MAT 2LR**

** **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 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 extend 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:** Any grade 9 math credit.

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#### Grade 10 **Foundations of Mathematics** (Applied) **MFM 2PR**

** **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 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:** MPM 1DR or MFM 1PR

#### Grade 10 **Principles of Mathematics** (Academic) **MPM 2DR**

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.

*Prerequisite: **MPM 1DR *

#### Grade 11 **Foundations for College Mathematics** (College) **MBF 3CR**

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; and develop their ability 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 2PR or MPM 2DR*

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#### Grade 11 **Functions and Applications** (University/College) **MCF 3MR**

** **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.

** ***Prerequisite: **MFM 2PR or MPM 2DR*

*NOTE: *

*College Pathway students interested in pursuing technical education programs at college should consider this course. It is the***prerequisite for MCT 4CR**.*University Pathway students who do not require MHF 4UR for post-secondary programs but wish to continue in grade 12 university preparation math should consider this course. It is the***prerequisite for MDM 4UR**. Check university entry requirements carefully when making your math selection.

#### Grade 11 **Functions** (University) **MCR 3UR**

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.

*Prerequisite: **MPM 2DR*

* **NOTE:*

*University Pathway students who require MHF for post-secondary programs must take MCR 3UR as it is the***prerequisite for MHF 4UR and MCV 4UR**.

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* *Grade 11 **Mathematics for Everyday Life** (Workplace) **MEL 3ER**

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: **MFM 1PR or MPM 1DR or MAT 2LR *

*This course is designed for students who are not pursuing post-secondary education with math requirements. *

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#### Grade 12 **Foundations for College Mathematics** (College) **MAP 4CR**

** **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; apply measurement in designing and constructing physical models; 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: **MBF 3CR or MCF 3MR or MCR 3UR*

#### Grade 12 **Foundations for College Mathematics/ Trade Calculations** (College) **MAP 4CU – DUAL CREDIT**

This course will enable students to apply specific trade-related mathematical concepts and acquire foundation skills important in the fields of construction, welding, plumbing, heating, refrigeration, and air conditioning. Teaching of this course is shared between a Weldon teacher and a Fleming College teacher. Upon successful completion of this course, students will receive a high school credit and a Fleming College credit.

NOTE: course will run pending Ministry approval.

*Prerequisite: **MBF 3CR or MCF 3MR or MCR 3UR*

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#### Grade 12 **Mathematics for College Technology** (College) **MCT 4CR**

** **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 algebraically; 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: **MCF 3MR or MCR 3UR *

#### Grade 12 **Mathematics of Data Management** (University) **MDM 4UR**

** **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.

*Prerequisite: **MCF 3MR or MCR 3UR*

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#### Grade 12 **Advanced Functions** (University) **MHF 4UR**

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: **MCR 3UR or MCT 4CR*

**NOTE: this course must be taken before or at the same time as MCV 4UR.**

#### Grade 12 **Calculus and Vectors** (University) **MCV 4UR**

** **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.

*Prerequisite: **MCR 3UR *

*AND*

*Prerequisite/Co-requisite: **MHF 4UR (i.e. MHF4UR must be taken before or at the same time as MCV4UR)*

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#### Grade 12 **Mathematics for Work and Everyday Life** (Workplace) **MEL 4ER**

This course is designed for students who are not pursuing post-secondary education with math requirements.

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 3ER*