Principles Of Mathematics – Grade 10

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.

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SKU: MPM2D Category: Tags: , ,

Overall Curriculum Expectations

Quadratic Relations of the Form y = ax2 + bx + c

By the end of this course the student will:

  • 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

By the end of this course the student will:

  • Model and solve problems involving the intersection of two straight lines.
  • Solve problems using analytic geometry involving properties of lines and lines segments.
  • Verify geometric properties of triangles and quadrilaterals, using analytic geometry.

Trigonometry

By the end of this course the student will:

  • 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 Details

Course Code MPM2D
Course Type Academic
Format Online School Course
Prerequisite MPM1D or MFM1P
Tuition Fee 650 – 1300
Department Mathematics
Course Title Principles of Mathematics
Grade Grade 10
Credit Value 1.0

Outline of Course Content

Unit Title Time
1 Linear Systems 13 hours
2 Analytic Geometry 11 hours
3 Geometric Properties 14 hours
4 Quadratic Relations 15 hours
5 Quadratic Expressions 15 hours
6 Quadratic Equations 15 hours
7 Trigonometry of Right Triangles 13 hours
8 Trigonometry of Acute Triangles 12 hours
  Final Examination 2 hours
  Total 110 hours

Course Details

Course Code MPM2D
Course Type Academic
Format Online School Course
Prerequisite MPM1D or MFM1P
Tuition Fee 650 – 1300
Department Mathematics
Course Title Principles of Mathematics
Grade Grade 10
Credit Value 1.0

Overall Curriculum Expectations

Quadratic Relations of the Form y = ax2 + bx + c

By the end of this course the student will:

  • 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

By the end of this course the student will:

  • Model and solve problems involving the intersection of two straight lines.
  • Solve problems using analytic geometry involving properties of lines and lines segments.
  • Verify geometric properties of triangles and quadrilaterals, using analytic geometry.

Trigonometry

By the end of this course the student will:

  • 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.

Outline of Course Content

Unit Title Time
1 Linear Systems 13 hours
2 Analytic Geometry 11 hours
3 Geometric Properties 14 hours
4 Quadratic Relations 15 hours
5 Quadratic Expressions 15 hours
6 Quadratic Equations 15 hours
7 Trigonometry of Right Triangles 13 hours
8 Trigonometry of Acute Triangles 12 hours
  Final Examination 2 hours
  Total 110 hours
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