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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.

Main Topics and Expectations

The following is a list of strands for the course, as well as the overall expectations for each strand:
Analytic Geometry
Quadratic Relations of the Form y = ax 2 + bx + c

  • 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

  • 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


  • 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 Curriculum

Course Outline
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Overview Marks & hours Breakdown
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Unit Plan & Homework
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Unit 1-Linear Systems
Graphing Linear Relationships 00:00:00
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Unit 2-Analytic Geometry
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Unit 4-Quadratic Expressions
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  • 110 Hours
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