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| Global School. Educational Innovation

| BSID 882692

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  • Grade – 10

Foundations of Mathematics (MPM2D)

Location

Ottawa - Ontario - Canada

+500 students approved this course

About the course

Course Type: Academic Credit Value: 1.0 Prerequisite: MPM1D, Principles of Mathematics, Grade 9, Academic or MFM1P, Foundations of Mathematics, Grade 9, Applied and MPM1H, Mathematics Transfer Course, Grade 9 Curriculum Policy Document: Mathematics, The Ontario Curriculum, Grades 9 and 10, 2005 Department: Mathematics Course Developer: KAI Global School Development Date: 2015-2016 Course Description: 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.

Overrall expectations

By the end of the course you will:

Quadratic Relations Of The Form Y = Ax2+Bx+C

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

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

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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