Principles of Mathematics, Grade 10, Academic

Salient topics

Sample tutorials

Students' tasks

Course Description

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.

Curriculum Expectations
  1. determine the basic properties of quadratic relations;
  2. relate transformations of the graph of the parent quadratic to the algebraic equation in vertex form
  3. solve quadratic equations and interpret the solutions with respect to the corresponding relations.
  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
  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
Copious Exercises