Principles of Mathematics

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.

Curriculum

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.


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