Page 97 - Ontario Curriculum, Grades 9 to 12: Course Descriptions and Prerequisites, 2018

Course Descriptions for Mathematics
Principles of Mathematics, Grade 9, Academic (MPM1D)
This course enables students to develop an understanding of mathematical concepts related to algebra, analytic geometry, and measurement and geometry through investigation, the effective use of technology, and abstract reasoning. Students will investigate relationships, which they will then generalize as equations of lines, and will determine the connections between different representations of a linear relation. They will also explore relationships that emerge from the measurement of three-dimensional figures and two-dimensional shapes. Students will reason mathematically and communicate their thinking as they solve multi-step problems.
Prerequisite: None
Foundations of Mathematics, Grade 9, Applied (MFM1P)
This course enables students to develop an understanding of mathematical concepts related to introductory algebra, proportional reasoning, and measurement and geometry through investigation, the effective use of technology, and hands-on activities. Students will investigate real-life examples to develop various representations of linear relations, and will determine the connections between the representations. They will also explore certain relationships that emerge from the measurement of three-dimensional figures and two-dimensional shapes. Students will consolidate their mathematical skills as they solve problems and communicate their thinking.
Prerequisite: None
Mathematics Transfer, Grade 9, Applied to Academic (MPM1H)
This transfer course will provide students who have successfully completed Foundations of Mathematics, Grade 9, Applied, with an opportunity to achieve the expectations not covered in that course but included in principles of Mathematics, Grade 9, Academic. On successful completion of this transfer course, students may proceed to principles of Mathematics, Grade 10, Academic (MPM2D).This transfer course focuses on developing number sense and algebra, linear relations, analytic geometry, and measurement and geometry through investigation, the effective use of technology, and abstract reasoning. Students will reason mathematically and communicate their thinking as they solve multi-step problems.
Prerequisite: Foundations of Mathematics, Grade 9, Applied (MFM1P)
Principles of Mathematics, Grade 10, Academic (MPM2D)
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.
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