**FOUNDATIONS OF MATHEMATICS, GRADE 10, APPLIED (MFM2P)**

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 Expectations Foundations of Mathematics, Grade 10, Applied (MFM2P)**

**By the end of this course, students will:**

** Unit A - Measurement and 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 the surface areas and volumes of three-dimensional ﬁgures, and use the imperial and metric systems of measurement.**

**Unit B - Modelling Linear Relations**

**manipulate and solve algebraic equations, as needed to solve problems;**
**graph a line and write the equation of a line from given information;**
**solve systems of two linear equations, and solve related problems that arise from realistic situations.**

**Unit C - Quadratic Relations of the Form y = ax**^{2} + bx + c

**manipulate algebraic expressions, as needed to understand quadratic relations;**
**identify characteristics of quadratic relations;**
**solve problems by interpreting graphs of quadratic relations**