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MPM2D (Grade 10 Math) Guide

by Nathan Oldridge

• A: Quadratic Relations of the Form y=ax2+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;
• B: 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.
• C: Trigonometry
  • 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.