Ontario High School Curriculum

MPM2D - Principles of Mathematics, Academic

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.

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

Overall Expectations
By the end of this course, students will:

  1. determine the basic properties of quadratic relations;
  2. relate transformations of the graph of y = x2 to the algebraic representation y = a(x – h)2 + k;
  3. solve quadratic equations and interpret the solutions with respect to the corresponding relations;
  4. solve problems involving quadratic relations.

Analytic Geometry

Overall Expectations
By the end of this course, students will:

  1. model and solve problems involving the intersection of two straight lines;
  2. solve problems using analytic geometry involving properties of lines and line segments;
  3. verify geometric properties of triangles and quadrilaterals,using analytic geometry.

Trigonometry

Overall Expectations
By the end of this course, students will:

  1. use their knowledge of ratio and proportion to investigate similar triangles and solve problems related to similarity;
  2. solve problems involving right triangles,using the primary trigonometric ratios and the Pythagorean theorem;
  3. solve problems involving acute triangles,using the sine law and the cosine law.
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