# Principles of Mathematics

> Principles of Mathematics
Course ID
MPM2D
Level
Semester
Continuous
Method
In-Person, Online
Credit Value
1.0

Principles of Mathematics 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. A gateway into any profession and one of most important positions in an Organization

• MPM1D

#### Course structure and modules

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;
• solve quadratic equations and interpret the solutions with respect to the corresponding relations;
• Trigonometry

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;
• verify geometric properties of triangles and quadrilaterals, using analytic geometry.