# MPM2D - Principles of Mathematics, Academic ( 數學原理，學術 )

20 小時

1.0

110 小時

10  週

• 一對一 (一位老師對一位學生)
• 一對四 (一位老師對四位學生)

## Quadratic Relations of the Form y = ax2 + bx + c

Overall Expectations
By the end of this course, students will:

1. determine the basic properties of quadratic relations;
2. relate transformations of the graph of y = x2 to the algebraic representation y = a(x – h)2 + k;
3. solve quadratic equations and interpret the solutions with respect to the corresponding relations;
4. solve problems involving quadratic relations.

## Analytic Geometry

Overall Expectations
By the end of this course, students will:

1. model and solve problems involving the intersection of two straight lines;
2. solve problems using analytic geometry involving properties of lines and line segments;
3. verify geometric properties of triangles and quadrilaterals,using analytic geometry.

## Trigonometry

Overall Expectations
By the end of this course, students will:

1. use their knowledge of ratio and proportion to investigate similar triangles and solve problems related to similarity;
2. solve problems involving right triangles,using the primary trigonometric ratios and the Pythagorean theorem;
3. solve problems involving acute triangles,using the sine law and the cosine law.