Havergal College Course Calendar, 2017-18 Academic Year

GRADE 8 Grade 8 Mathematics

GRADE 11 Students selecting MCF3M may only proceed to MDM4U. Students should check the prerequisites of the Mathematics Grade12 University Preparation level courses when selecting their Grade 11 level course. MCF3M – Functions and Applications, Grade 11, University/College Preparation 1 CREDIT This course introduces basic features of the function by extending students’ experiences with quadratic relations. It focuses on quadratic, trigonometric, and exponential functions and their use in modeling real-world situations. Students will represent functions numerically, graphically, and algebraically; simplify expressions; solve equations; and solve problems relating to applications. Students will reason mathematically and communicate their thinking as they solve multi-step problems. Prerequisite: MPM2D – Principles of Mathematics, Grade 10, Academic MCR3U – Functions, Grade 11, University Preparation 1 CREDIT This course introduces the mathematical concept of the function by extending students’ experiences with linear and quadratic relations. Students will investigate properties of discrete and continuous functions, including trigonometric and exponential functions; represent functions numerically, algebraically, and graphically; solve problems involving applications of functions; investigate inverse functions; and develop facility in determining equivalent algebraic expressions. Students will reason mathematically and communicate their thinking as they solve multi-step problems. Prerequisite: MPM2D – Principles of Mathematics, Grade 10, Academic GRADE 12 It is recommended that most students wishing to enroll in Calculus and Vectors do so in their Senior Year. Students wishing to select this course prior to Senior Year must consult with the Mathematics Department and must have the required prerequisite courses. Students who plan to take Calculus and Vectors must have completed MHF4U (Advanced Functions) or be enrolled in MHF4U and Calculus and Vectors (MCV4U) concurrently. Students may choose to take MHF4U and MCV4U in a semestered option with MHF4U running every day from September to January and MCV4U running every day from January to June. They must note this option on their course option sheets.

The Grade 8 Mathematics program is designed to consolidate and enhance mathematical skills and understandings in the setting of applications and problem-solving. Emphasis will be placed on generalizations and abstractions appropriate to the students’ mathematical maturity. This course continues the study of numbers, measurement, geometry, patterning and algebra and data management and probability. Students are expected to develop their computations skills as well as their mathematical understandings. The mathematical process and problem-solving skills are an important part of this course. GRADE 9 MPM1D – Principles of Mathematics, Grade 9, Academic 1 CREDIT 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. GRADE 10 MPM2D – Principles of Mathematics, Grade 10, Academic 1 CREDIT 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. Prerequisite: MPM1D – Principles of Mathematics, Grade 9, Academic

76  HAVERGAL COLLEGE | Course Calendar 2017–18