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:
- 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
Overall Expectations
By the end of this course, students will:
- 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
Overall Expectations
By the end of this course, students 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.
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MPM2D - Principles of Mathematics Academic
