KCS Online Learning

## Foundations of Mathematics, Grade 10, Applied

Name of School: KCS Online Learning
Department: Mathematics
Course Developer: Christian Bayly
Course Development Date: June 2019
Course Reviser/Revision Date: ----
Ministry Course Code: MFM2P Credit Value: 1.0
Developed from: The Ontario Curriculum, Grades 9 and 10: Mathematics, 2005 (revised)

### Course Description:

This course enables students to consolidate their understanding of linear relations and extend their problem-solving and algebraic skills through investigation, the effective use of technology, and hands-on activities. Students will develop and graph equations in analytic geometry; solve and apply linear systems, using real-life examples; and explore and interpret graphs of quadratic relations. Students will investigate similar triangles, the trigonometry of right triangles, and the measurement of three-dimensional figures. Students will consolidate their mathematical skills as they solve problems and communicate their thinking.

### Curriculum Overall Expectations:

#### A. Measurement and Trigonometry

• A1 use their knowledge of ratio and proportion to investigate similar triangles and solve problems related to similarity;

• A2 solve problems involving right triangles, using the primary trigonometric ratios and the Pythagorean theorem;

• A3 solve problems involving the surface areas and volumes of three-dimensional figures, and use the imperial and metric systems of measurement

#### B. Modelling Linear Relations

• B1 manipulate and solve algebraic equations, as needed to solve problems;

• B2 graph a line and write the equation of a line from given information;

• B3 solve systems of two linear equations, and solve related problems that arise from realistic situations.

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

• C1 manipulate algebraic expressions, as needed to understand quadratic relations;

• C2 identify characteristics of quadratic relations;

• C3 solve problems by interpreting graphs of quadratic relations