Description
Course Details
| Course Code | MPM2D |
| Course Type | Academic |
| Format | Online School Course |
| Prerequisite | MPM1D or MFM1P |
| Department | Mathematics |
| Course Title | Principles of Mathematics |
| Grade | Grade 10 |
| Credit Value | 1.0 |
Overall Curriculum Expectations
Quadratic Relations of the Form y = ax2 + bx + c
By the end of this course the student 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
By the end of this course the student will:
- Model and solve problems involving the intersection of two straight lines.
- Solve problems using analytic geometry involving properties of lines and lines segments.
- Verify geometric properties of triangles and quadrilaterals, using analytic geometry.
Trigonometry
By the end of this course the student 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.
Outline of Course Content
| Unit | Title | Time |
| 1 | Linear Systems | 13 hours |
| 2 | Analytic Geometry | 11 hours |
| 3 | Geometric Properties | 14 hours |
| 4 | Quadratic Relations | 15 hours |
| 5 | Quadratic Expressions | 15 hours |
| 6 | Quadratic Equations | 15 hours |
| 7 | Trigonometry of Right Triangles | 13 hours |
| 8 | Trigonometry of Acute Triangles | 12 hours |
| Final Examination | 2 hours | |
| Total | 110 hours |
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