“Mathematics is a fundamental human endeavour that empowers individuals to describe, analyze, and understand the world we live in.”

Leading Math Success,2004
The Report of the Expert Panel on Student Success in Ontario

The Mathematics Department at Notre College School aspires to assist students to achieve the curriculum expectations for Mathematics through the Ontario Catholic School Graduate Expectations so that they may become life-long learners and functioning contributors to the society we live in. In our classrooms students apply Christian values to pose and solve problems, make logical decisions, and become critical thinkers who share their abilities for the benefit of all in the class and school community. Our teachers provide a caring and sensitive environment where all students can be affirmed in their abilities and supported in their challenges throughout each semester. We believe all students can and do learn mathematics.

Mathematics, Grades 9 – 12

Principles of Mathematics Grade 9, Academic, MPM 1D

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 resolve multistep problems. Students will evaluate situations and solve problems reflectively and creatively and apply skills for work relative to Christian vocation.
Prerequisite: None

Foundations of Mathematics Grade 9, Applied, MFM 1P

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 the 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 ill consolidate their mathematical skills as they solve problems and communicate their thinking. Students will evaluate situations and solve problems reflectively and creatively and apply skills for work relative to Christian vocation. Prerequisite: None

Essential Mathematics Grade 9, Locally Developed, MAT 1L

This course equips students with the mathematical knowledge and skills they will need for work and for further study in MFM 1P or MAT2L. Students will evaluate situations and solve problems reflectively and creatively, and apply the skills for work relative to Christian vocation. As an interdependent team member, each student will have the opportunity to develop a confident and positive sense of self and respect for the dignity and welfare of others. Time and resource management skills will be integrated into everyday classroom activities. Students will consolidate numeracy skills involving ratio, rate and percent through meaningful applications enhanced with the use of technology and hands-on activities, including problems involving the measurement of two-dimensional figures. Relationships between two variables will be examined by collecting and analyzing data in a real-life context providing students with the opportunity to explore, organize, interpret, and use mathematical models to solve problems. Prerequisite: None

Principles of Mathematics Grade 10, Academic, MPM 2D

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. As an interdependent team member each student will have the opportunity to develop a confident and positive sense of self and respect for the dignity and welfare of others.
Prerequisite: Mathematics, Grade 9,
Academic or Applied

Foundations of Mathematics Grade 10, MFM 2P

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. As an interdependent team member each student will have the opportunity to develop a confident and positive sense of self and respect for the dignity and welfare of others.
Prerequisite: Mathematics, Grade 9,
Academic or Applied

Mathematics (Practical)  Grade 10, Locally Developed, MAT2L

This course enables students to consolidate their understanding of key mathematical concepts and to expand their mathematical knowledge through hands-on activities in problem-solving situations. Students will solve problems using a variety of methods for calculation; consolidate the meaning and use of proportionality through applications; and analyze data that will result in linear relationships; investigate measurement aspects of two-dimensional figures and three-dimensional objects; and explore geometric relationships.
Prerequisite: MPM1D or MFM1P or MAT1L

Functions and Relations Grade 11, MCR 3U

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 polynomials, rational expressions, and exponential expressions; develop an understanding of inverses and transformations of functions; and develop facility in using function notation and in communicating mathematical reasoning. Students will also investigate loci and the properties and applications of conics. Students will evaluate situations and solve problems reflectively and creatively and apply skills for work relative to Christian vocation.
Prerequisite: Principles of Mathematics,
Grade 10, Academic

Functions Grade 11, MCF 3M

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 polynomials, rational expressions, and exponential expressions; develop understanding of inverses and transformations of functions; and develop facility in using function notation and in communicating mathematical reasoning. Students will evaluate situations and solve problems reflectively and creatively and apply skills for work relative to Christian vocation.
Prerequisite: Principles of Mathematics,
Grade 10, Academic

Mathematics of Personal Finance Grade 11, MBF 3C

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 exponential expressions; solve problems and investigate financial applications involving compound interest and annuities; and apply mathematics in making informed decisions about transportation, accommodation, and career choices. Students will evaluate situations and solve problems reflectively and creatively and apply skills for work relative to Christian vocation
Prerequisite: Foundations of Mathematics,
Grade 10, Applied

Mathematics for Everyday Life Grade 11, MEL 3E

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. Students will evaluate situations and solve problems reflectively and creatively and apply skills for work relative to Christian vocation.
Prerequisite: Mathematics, Grade 9, Academic or Applied

University Preparation
This course builds on students’ experience with functions and introduces the basic concepts and skills of calculus. Students will investigate and apply the properties of polynomial, exponential, and logarithmic functions; broaden their understanding of the mathematics associated with rates of change; and develop facility with the concepts and skills of differential calculus as applied to polynomial, rational, exponential, and logarithmic functions. Students will apply these skills to problem solving in a range of applications. As an interdependent team member each student will have the opportunity to develop a confident and positive sense of self and respect for the dignity and welfare of others.
Prerequisite: Functions and Relations, Grade 11, University Preparation, or Functions, Grade 11, University/College Preparation

University Preparation
This course enables students to broaden mathematical knowledge and skills related to abstract mathematical topics and to the solving of complex problems. Students will solve problems involving geometric and Cartesian vectors, and intersections of lines and planes in three-space. They will develop an understanding of proof, using deductive, algebraic, vector, and indirect methods. Students will solve problems involving counting techniques and prove results using mathematical induction. As an interdependent team member each student will have the opportunity to develop a confident and positive sense of self and respect for the dignity and welfare of others.
Prerequisite: Functions and Relations,
Grade 11, University Preparation

Mathematics of Data Management Grade 12, MDM 4U

University Preparation
This course broadens students’ understanding of mathematics as it relates to managing information. Students will apply methods for organizing large amounts of information; apply counting techniques, probability, and statistics in modeling and solving problems; and carry out a culminating project that integrates the expectations of the course and encourages perseverance and independence. Students planning to pursue university programs in business, the social sciences, or the humanities will find this course of particular interest. As an interdependent team member each student will have the opportunity to develop a confident and positive sense of self and respect for the dignity and welfare of others.
Prerequisite: Functions and relations, Grade 11, University Preparation, or Functions, Grade 11, University/College Preparation

College and Apprenticeship Mathematics, Grade 12, MAP 4C

College Preparation
This course equips students with the mathematical knowledge and skills they will need in many college programs. Students will use statistical methods to analyze problems; solve problems involving the application of principles of geometry and measurement to the design and construction of physical models; solve problems involving trigonometry in triangles; and consolidate their skills in analyzing and interpreting mathematical models. As an interdependent team member each student will have the opportunity to develop a confident and positive sense of self and respect for the dignity and welfare of others.
Prerequisite: Mathematics of Personal Finance, Grade 11, College Preparation, or Functions, Grade 11, University/College Preparation (or Functions
and Relations, Grade 11, University Preparation)

Mathematics for College Technology, Grade 12, MCT 4C

College Preparation
This course equips students with the mathematical knowledge and skills needed for entry into college technology programs. Students will investigate and apply properties of polynomial, exponential, and logarithmic functions; solve problems involving inverse proportionality and explore the properties of reciprocal functions. They will also analyse models of a variety of functions, solve problems involving piecewise-defined functions, solve linear-quadratic systems, and consolidate key manipulation and communication skills. As an interdependent team member each student will have the opportunity to develop a confident and positive sense of self and respect for the dignity and welfare of others.
Prerequisite: Functions, Grade 11, University/College Preparation (or Functions and Relations,
Grade 11, University Preparation)

Mathematics for Everyday Life Grade 12, MEL 4E

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 use statistics in investigating questions of interest and apply principles of probability in familiar situations. They will also investigate accommodation costs and create household budgets; solve problems involving estimation and measurement; and apply concepts of geometry in the creation of designs. As an interdependent team member each student will have the opportunity to develop a confident and positive sense of self and respect for the dignity of others.
Prerequisite: Mathematics for Everyday Life,
Grade 11, Workplace Preparation