MPM2D – Principles of Mathematics – Academic


Course Title: Principles of Mathematics, Grade 10, Academic (MPM2D)
Course Name: Principles of Mathematics
Course Code: MPM2D
Grade: 10
Course Type: Academic
Credit Value: 1.0
Prerequisite: MPM1D, Principles of Mathematics, Grade 9, Academic or MFM1P, Foundations of Mathematics, Grade 9, Applied and MPM1H, Mathematics Transfer Course, Grade 9
Curriculum Policy Document: Mathematics, The Ontario Curriculum, Grades 9 and 10, 2005 (Revised)
Course Developer: 24H Education
Department: Mathematics
Department Head: André Bergeron, B.Sc., B.Ed., OCT
Development Date: 2004
Most Recent Revision Date: 2012
Tuition Fee (CAD): $479

SKU: course-22 Category:


MPM2D 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.


Unit Course Content and Overall Curriculum Expectations Time and Sequence
1 Linear Systems
Linear relationships are not only important to understand for everyday use – understanding the interplay between distance and time for the calculation of speed, or rates of change in business, for example. Linear relationships are also fundamental to more complex forms of mathematics. This unit reviews the concepts of linear algebra that were developed in Grade 9, and expands upon important procedures such as rearranging equations and developing accurate graphs.
16 hours
2 Analytical Geometry
Expanding upon the foundation built in the last unit, the equations of lines and line segments will be examined. Developing logical and mathematical methods for determining line segment length and midpoint, based upon an equation or upon coordinates, will enable a deeper study of geometric shapes and properties.
16 hours
3 Algebraic Skills
To progress beyond a certain point in any mathematics, some rather advanced algebraic skills must first be mastered. In this unit, students will consider various operations on monomials, binomials and polynomials. Factoring of binomials and trinomials will be studied.
16 hours
4 Quadratic Functions
Until this point, all algebraic relations that have been considered have been linear. In this unit, second-order functions are introduced. The concept of the function will be studied; the domain, range and simple transformations of quadratic functions will be explored; and students will learn how to complete the square.
16 hours
5 Quadratic Equations
Having explored quadratic functions graphically, the algebra of quadratic equations will be considered. The Quadratic Formula, which will be used extensively throughout all future math courses, will be derived and used.
22 hours
6 Trigonometry
Triangles have a particularly significant role to play in mathematics. This unit is all about triangles and how they can be used to describe many phenomena in the universe. A review of Pythagorean Theorem will start the discussion, which will lead the student through sine, cosine and tangent ratios, the sine law and cosine law, and the ability to solve problems using these tools.
22 hours
Final Assessment
Final Exam
This is a proctored exam worth 30% of your final grade.
2 hours
Total 110 hours