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.
Pre-requisite(s):
• Grade 9 Principles of Mathematics,
Academic (MPM1D-B)
OR
• Grade 9 Foundations of Mathematics,
Applied (MFM1P-D) plus a Transfer
Course, Applied to Academic
Course Syllabus
Unit 1: Number sense and algebra
Lesson 1: Understanding similar and congruent triangles
Lesson 2: The primary trigonometric ratios
Lesson 3: The sine law
Lesson 4: The cosine law
Lesson 5: Applying trigonometric principles
Unit 2: Linear relations
Lesson 6: Introduction to analytic geometry
Lesson 7: Equations of lines and circles
Lesson 8: Midpoint of a line segment and related problems
Lesson 9: Characteristics of triangles and quadrilaterals
Lesson 10: Properties of triangles and quadrilaterals
Unit 3: Analytic geometry
Lesson 11: Analyzing and graphing relations
Lesson 12: Solving systems of equations algebraically
Lesson 13: Applications of linear systems in analytic geometry
Lesson 14: Comparing linear and quadratic functions
Lesson 15: Parabolas and their properties
Unit 4: Measurement and geometry
Lesson 16: Transforming parabolas
Lesson 17: Graphs and equations
Lesson 18: Working with equations
Lesson 19: Solving quadratic equations
Lesson 20: y = 2x