# MPM2D - Principles of Mathematics, Academic

20 Hours

Online - Live Teacher

1.0

Course Credit

110 Hours

Course Hours

10 Weeks

Course Length

Class Mode

• 1 on 1 (One Teacher to One Student)
• 1 on 4 (One Teacher to four Students)

Prerequisite

None

## Course Detail

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. 