Course

MPM2D: Principles of Mathematics, Grade 10, Academic

Course Info

Course Name: Principles of Mathematics

Course Code: MPM2D

Grade: Grade 10

Course Type: Academic

Course Format: Online

Credit Value: 1.0

Course Duration: 110 Hours

Prerequisites:

MTH1W: Mathematics, Grade 9, De-streamed

Tuition Fee: $399.00 – $1,500.00

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Course Type

Clear

Looking for In-Person Course? Most of the courses will be offered both online and in-person. You can view the current list of the in-person courses here.

Course Overview

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.

Course Outline

Unit 1: Analytic Geometry
Unit 2: Quadratics
Unit 3: Trigonometry

This course has the following units of study:

Systems of Linear Equations (14 Hours)
Analytic Geometry (14 Hours)
Graphs of Quadratic Relations (14 Hours)
Factoring Algebraic Expressions (14 Hours)
Applying Quadratic Models Models(14 Hours)
Quadratic Equations (14 Hours)
Similar Triangles and Trigonometry (14 Hours)
Acute Triangle Trigonometry (14 Hours)
Final Exam Review (3 Hours)

MPM2D has a final exam worth 30% of the final grade calculation.

Curriculum Expectations

Quadratic Relations of the Form y = ax2 + bx + c
• determine the basic properties of quadratic relations;
• relate transformations of the graph of y = x2 to the algebraic representation y=a(x-h)2 +k
• solve quadratic equations and interpret the solutions with respect to the corresponding
relations;
• solve problems involving quadratic relations.

Analytic Geometry
• model and solve problems involving the intersection of two straight lines;
• solve problems using analytic geometry involving properties of lines and line segments;
• verify geometric properties of triangles and quadrilaterals, using analytic geometry.

Trigonometry
• use their knowledge of ratio and proportion to investigate similar triangles and solve problems related to similarity;
• solve problems involving right triangles, using the primary trigonometric ratios and the Pythagorean theorem;
• solve problems involving acute triangles, using the sine law and the cosine law.

Course Evaluation

Unit Test
Quiz
Assignment
Pressentation
Discussion Questions
Reports
Audio Podcast
Projects