Principles of Mathematics - MPM2D
ILC Course Code: MPM2D-C
Grade 10, Academic, 1.0 credit
Principles of Mathematics (MPM1D-B) or
Grade 9 Applied Mathematics (MFM1P) plus a Transfer Course.
MPM2D is an online only Grade 10 Mathematics course. This course will enable you to broaden your understanding of relationships and extend your problem-solving and algebraic skills through investigation, the effective use of technology, and abstract reasoning. You 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. You will reason mathematically and communicate your thinking as you solve multi-step problems.
Note: This course is delivered online through My ILC. All lessons are in electronic form and can be downloaded and printed by the student if desired. All assignments must be submitted online using the assignment submission tool (part of My ILC). For special circumstances: Contact Learner Services.
Online submission of course work is required for this course using Microsoft Word © or OpenOffice Writer.
A regular scientific calculator is needed.
Unit 1: Number Sense and Algebra
The analysis of triangles provides one of the most useful mathematical tools we know of. Whenever you are trying to solve a problem and can find a triangle, you are well prepared to find a solution. Whether you are a carpenter, an engineer, or a computer game designer, you will find triangles useful. In this unit, you will learn about the geometry of triangles—trigonometry—through investigations, demonstrations, and problem solving.
The tools of trigonometry have been around for a couple of thousand years. The idea of an xy grid—which is used all the time to show graphs in news stories and stock reports—is a much more recent development. Invented by René Descartes in the 1600s, the xy-plane, or Cartesian plane, is still one of the most useful ideas ever devised. Descartes’ invention united the powerful tools of geometry with the usefulness of algebra. In this unit, you will analyze some basic geometric shapes and solve problems using the ideas you study.
Unit 3: Analytic Geometry
When analytic geometry is used to help describe mathematical relations in the form of graphs, a lot can be learned about real world situations. Analyzing the graphs of mathematical relations gives you clues about how to solve problems using algebra. In this unit, you will analyze the behaviour of lines on graphs and learn how to locate the point where two lines intersect on a graph.
Unit 4: Measurement and Geometry
In this unit, you will distinguish between linear and quadratic relations. You will investigate the properties of the graphs of quadratic functions and learn about the relationship between the equation and the shape of the corresponding graph. You will also be able to quickly sketch the graph of a quadratic relation by looking at the terms in the equation.
At the end of the unit there is a Practice Test. It will help you prepare for the Final Test.
This is the English version of the course.
Click here to view the French version of the course.