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.
Prerequisite : MPM1D
Grade : 10
Credit value : 1
Unit One
Quadratic Relations
- Determine the basic properties of quadratic relations
- Relate transformations of the graph of y = x 2 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
Unit Two
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
Unit Three
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
