Principles of Mathematics

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.

Course Expectations

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

  • 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

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

Trigonometry

  • 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

Units

Quadratic Relations of the Form y = ax2 + bx + c (35 hours)

Analytic Geometry (35 hours)

Trigonometry (35 hours)

Final Evaluation (6 hours)

Course Code
MPM2D
Grade Level
10
Prerequisite
MTH1W or MPM1D
Tuition Fee
CAD 475 
Principles of Mathematics

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.

Units

Quadratic Relations of the Form y = ax2 + bx + c (35 hours)

Analytic Geometry (35 hours)

Trigonometry (35 hours)

Final Evaluation (6 hours)

Course Code
MPM2D
Grade Level
10
Prerequisite
MTH1W or MPM1D
Tuition Fee
CAD 475 
Course Expectations

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

  • 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

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

Trigonometry

  • 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