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.

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 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 recommended for those students with pronounced difficulties in mathematics.

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. Prerequisite: Mathematics, Grade 9, De-streamed. 

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. Prerequisite: Mathematics, Grade 9, De-streamed.  

The course emphasizes the extension of mathematical knowledge and skills to prepare students for success in their  everyday lives, in the workplace, and in the Grade 11 Mathematics Workplace Preparation course. The course is organized  in 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: A Grade 9  Mathematics credit.  

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

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 applications. Students will reason mathematically and communicate their thinking as they solve multi-step  problems. Prerequisite: Principles of Mathematics, Grade 10, Academic, or Foundations of Mathematics, Grade 10,  Applied.  

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, analyzing, 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. Prerequisite: Foundations of Mathematics, Grade 10, Applied.  

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: Principles of Mathematics, Grade 9, Academic, or Foundations of Mathematics, Grade 9, Applied, or  a ministry-approved locally developed Grade 10 mathematics course. 

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. Prerequisite: Functions, Grade 11, University  Preparation or Mathematics for College Technology, Grade 12, College Preparation. 

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. Prerequisite: Functions, Grade  11, University Preparation, or Functions and Applications, Grade 11, University/College Preparation.  

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.  

Note: The Advanced Functions course (MHF4U) must be taken prior to or concurrently with Calculus and Vectors (MCV4U).  Functions and Relations, Grade 11, University Preparation, or Functions, Grade 11, University/College Preparation  

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. This  course is not recommended for the skilled trades or apprenticeships. Prerequisite: Mathematics or Personal Finance,  Grade 11, college Preparation, or Foundations for College Mathematics, Grade 11, College Preparation, or Functions and  Applications, Grade 11, University/College Preparation.  

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, 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. This  course also prepares the students to be successful in college. It is preferred that college bound students needing  math take this course. Prerequisite: Functions and Applications, Grade 11, University/College Preparation, Functions,  Grade 11, University.