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Subject Mathematics

Course name: Principles of Mathematics Course code: (MPM2D)

Grade: 10
Type: Academic
Course description: This resource enables Learners to broaden their understanding of relationships and extend their problem-solving and algebraic skills through investigation, the effective use of technology, and abstract reasoning. Learners 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. Learners will reason mathematically and communicate their thinking as they solve multi-step problems.
Grade: 10
Type: Academic
Prerequisites: None
Course description: This resource enables Learners to broaden their understanding of relationships and extend their problem-solving and algebraic skills through investigation, the effective use of technology, and abstract reasoning. Learners 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. Learners will reason mathematically and communicate their thinking as they solve multi-step problems.
announcement

These learning resources support both Teacher led instruction and independent study.

For independent study, Learners may engage in active notebook reflection whenever prompted to participate in Discussions, Partner Activities, or Quizzes. No assignments can be submitted to TVO for grading or credit.

Educators may refer to the For Teachers page for extra information.

announcement

These learning resources support both Teacher led instruction and independent study.

For independent study, Learners may engage in active notebook reflection whenever prompted to participate in Discussions, Partner Activities, or Quizzes. No assignments can be submitted to TVO for grading or credit.

Educators may refer to the For Teachers page for extra information.

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   Applications of trigonometry

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