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"The value of a problem is not so much coming up with the answer as in the ideas and attempted ideas it forces on the would be solver." -- I.N. Herstein
Grade 10 Principles of Mathematics, Academic (MPM2D)
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.
Grade 11 Functions and Relations, University (MCR3U)
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.
Prerequisite: Principles of Mathematics, Grade 10, Academic
Grade 12 Advanced Functions and Introduction to Calculus, University (MCB4U)
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.
Prerequisite: Functions and Relations, Grade 11, University Preparation, or
Functions, Grade 11, University/College Preparation
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