Havergal's Uncalendar, 2021-22 Academic Year

MCR3U – Functions, Grade 11, University Preparation 1 CREDIT In this course, you will continue to develop your understanding of the connections between patterns, graphs and equations and leverage these representations to model and solve problems involving: • exponential growth (global warming) and decay (endangered species); • financial planning (compound interest and retirement savings); and • repetitive or periodic behaviour (tides and seasonal temperatures). You will expand your library of familiar functions beyond lines (Grade 9) and parabolas (Grade 10) to include transforming exponential curves and trigonometric waves, as well as graphing inverse, square root and reciprocal functions. You will extend your algebraic skills to include exponents that are themselves fractions, roots that are not square, fractions that contain polynomials and equations that contain trigonometric ratios. This MCR3U course serves as a prerequisite for all Grade 12 Mathematics courses such as MDM4U Data Management, MCV4U Calculus and Vectors and its prerequisite MHF4U Advanced Functions. Students who excel in MCR3U can also consider taking AP Statistics or AP Calculus the following year. Students whose university aspirations do not include math intensive programs (such as Sciences, Mathematics, Engineering and some Business/Economics/Commerce) may consider taking MCF3M instead; check with your Guidance Counsellor for details about admissions requirements. Prerequisite: MPM2D – Principles of Mathematics, Grade 10, Academic There is an e-Learning option, MCR3Ue.

GRADE 11 MCF3M – Functions and Applications, Grade 11, University/College Preparation 1 CREDIT The big idea of this course is that real-world scenarios are built on relationships between independent and dependent variables. These relationships form patterns that can be represented using words, tables of values, equations, mappings, sets of ordered pairs and graphs. The three basic relationships studied in this course include the quadratic, trigonometric and exponential functions. In order to work with these functions, you will consolidate the algebraic concepts and procedures required to manipulate these functions in equation form and will use technology to investigate patterns and solve problems based on graphical representations of these functions. The course finishes with an investigation of financial mathematics as an application of exponential functions. Although algebraic solutions to many problems will be required, this course will be less algebra intensive than MCR3U. Students who successfully complete this MCF3M course may proceed onto the Grade 12 MDM4U Data Management course. The pace of this course allows students to review and focus on the essential skills needed to see real-life connections to quadratic, exponential and trigonometric equations. Students selecting MCF3M may only proceed to MDM4U. Students should check the prerequisites of the Mathematics 4U level courses when selecting their Grade 11 level course. Prerequisite: MPM2D – Principles of Mathematics, Grade 10, Academic

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