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Principles of Mathematics-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.


Pre-requisite(s):
• Grade 9 Principles of Mathematics,
Academic (MPM1D-B)
OR
• Grade 9 Foundations of Mathematics,
Applied (MFM1P-D) plus a Transfer
Course, Applied to Academic

Course Syllabus

Unit 1:  Number sense and algebra
Lesson 1: Understanding similar and congruent triangles
Lesson 2: The primary trigonometric ratios
Lesson 3: The sine law
Lesson 4: The cosine law
Lesson 5: Applying trigonometric principles

Unit 2:  Linear relations
Lesson 6: Introduction to analytic geometry
Lesson 7: Equations of lines and circles
Lesson 8: Midpoint of a line segment and related problems
Lesson 9: Characteristics of triangles and quadrilaterals
Lesson 10: Properties of triangles and quadrilaterals

Unit 3:   Analytic geometry
Lesson 11: Analyzing and graphing relations
Lesson 12: Solving systems of equations algebraically
Lesson 13: Applications of linear systems in analytic geometry
Lesson 14: Comparing linear and quadratic functions
Lesson 15: Parabolas and their properties

Unit 4:  Measurement and geometry
Lesson 16: Transforming parabolas
Lesson 17: Graphs and equations
Lesson 18: Working with equations
Lesson 19: Solving quadratic equations
Lesson 20: y = 2x