本課程拓寬了學生對關係的理解，並通過研究，有效應用科技，和抽象推理，擴展了他們解決問題和代數的技巧。學生將探討二次關係及其應用；解決和應用的線性系統；使用分析幾何驗證幾何圖形的性質；和研究三角形中的銳角和直角。學生將進行數學推理，在解決多步驟的問題中，交流他們的想法。
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
