MPM 2D1: PRINCIPLES OF MATHEMATICS, ACADEMIC, GRADE 10 

Description:

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.

Credit Value: 1.0

Prerequisite: MPM 1D1

Course Text: Principles of Mathematics 10, McGraw-Hill Ryerson

 Replacement Cost: $75

Strand	Overall Expectations
Quadratic Relations	determine the basic properties of quadratic relations; relate transformations of the graph of y=x2 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.

Other Courses:

MAT 1L1 MFM 1P1 MPM 1D1 MAT 2L1 MFM 2P1 MPM 2D1 MBF 3C1 MCF 3M1 MCR3U1 MAP 4C1 MDM 4U1 MHF 4U1 MCV 4U1