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# Principles Of Mathematics – Grade 10

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.

From: \$500.00

SKU: MPM2D Category: Tags: , , ### 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.

### Course Details

 Course Code MPM2D Course Type Academic Format Online School Course Prerequisite MPM1D or MFM1P Tuition Fee 650 – 1300 Department Mathematics Course Title Principles of Mathematics Grade Grade 10 Credit Value 1.0

### 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

### Course Details

 Course Code MPM2D Course Type Academic Format Online School Course Prerequisite MPM1D or MFM1P Tuition Fee 650 – 1300 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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