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