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.

**Main Topics and Expectations**

The following is a list of strands for the course, as well as the overall expectations for each strand:

Analytic Geometry

**Quadratic Relations of the Form y = ax 2 + bx + c**

- Determine the basic properties of quadratic relations
- Relate transformations of the graph of
*y*=*x*^{2}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**

- 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**

- 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

### Course Curriculum

Course Outline | |||

Download | 00:00:00 | ||

Overview Marks & hours Breakdown | |||

Download | 00:00:00 | ||

Unit Plan & Homework | |||

Download | 00:00:00 | ||

Unit 1-Linear Systems | |||

Graphing Linear Relationships | 00:00:00 | ||

Download | 00:00:00 | ||

Unit 2-Analytic Geometry | |||

Download | 00:00:00 | ||

Unit 4-Quadratic Expressions | |||

Download | 00:00:00 |

**2 STUDENTS ENROLLED**