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.

From: $500.00

SKU: MPM2D Category: Tags: , ,
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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 CodeMPM2D
Course TypeAcademic
FormatOnline School Course
PrerequisiteMPM1D or MFM1P
Tuition Fee650 – 1300
DepartmentMathematics
Course TitlePrinciples of Mathematics
GradeGrade 10
Credit Value1.0

Outline of Course Content

UnitTitleTime
1Linear Systems13 hours
2Analytic Geometry11 hours
3Geometric Properties14 hours
4Quadratic Relations15 hours
5Quadratic Expressions15 hours
6Quadratic Equations15 hours
7Trigonometry of Right Triangles13 hours
8Trigonometry of Acute Triangles12 hours
 Final Examination2 hours
 Total110 hours

Course Details

Course CodeMPM2D
Course TypeAcademic
FormatOnline School Course
PrerequisiteMPM1D or MFM1P
Tuition Fee650 – 1300
DepartmentMathematics
Course TitlePrinciples of Mathematics
GradeGrade 10
Credit Value1.0

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

UnitTitleTime
1Linear Systems13 hours
2Analytic Geometry11 hours
3Geometric Properties14 hours
4Quadratic Relations15 hours
5Quadratic Expressions15 hours
6Quadratic Equations15 hours
7Trigonometry of Right Triangles13 hours
8Trigonometry of Acute Triangles12 hours
 Final Examination2 hours
 Total110 hours
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