本课程拓宽了学生对关系的理解，并通过研究，有效应用科技，和抽象推理，扩展了他们解决问题和代数的技巧学生将探讨二次关系及其应用;解决和应用的线性系统;使用分析几何验证几何图形的性质;和研究三角形中的锐角和直角学生将进行数学推理，在解决多步骤的问题中，交流他们的想法。
Quadratic Relations of the Form y = ax2 + bx + c
Overall Expectations
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
Overall Expectations
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
Overall Expectations
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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MPM2D - Principles of Mathematics Academic
