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Mathematics

Principles of Mathematics (MPM2D)

Grade: 10
Type: Academic
Language of Study: English
Prerequisites: MPM1D or MPM1H or MTH1W
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.
Grade: 10
Type: Academic
Language of Study: English
Prerequisites: MPM1D or MPM1H or MTH1W
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.

Course Lessons

This course is designed for independent study.

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20 Lessons

5 Lessons

1.1   Understanding similar and congruent triangles

1.2   The primary trigonometric ratios

1.3   The sine law

1.4   The cosine law

1.5   Applying trigonometric changes

5 Lessons

2.1   Introduction to analytic geometry

2.2   Equations of lines and circles

2.3   Midpoint of a line segment and related problems

2.4   Characteristics of triangles and quadrilaterals

2.5   Properties of triangles and quadrilaterals

5 Lessons

3.1   Analyzing and graphing relations

3.2   Solving systems of equations algebraically

3.3   Applications of linear systems in analytic geometry

3.4   Comparing linear and quadratic functions

3.5   Parabolas and their properties

5 Lessons

4.1   Transforming parabolas

4.2   Graphs and equations

4.3   Working with equations

4.4   Solving quadratic equations

4.5   y = 2x

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