WaterlooRegionDistrictSchool Board

PrestonHigh School

Mathematics Department

Grade 12Advanced Functions

2012/2013

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Course Code:MHF 4UICourse Type:University Preparation

Grade:12Credit Value:1

Course Name:Advanced Functions

Prerequisite:Functions, Grade 11, University Preparation (MCR3U), or Mathematics for College Technology, Grade 12 (MCT 4CI)

Ministry Guidelines:The Ontario Curriculum, Grades 11 and 12: Mathematics 2007

Department Head:Ted Kewley

Course of Study Author:Ted Kewley, June 2007

Revised:June, 2012Ted Kewley

Textbook:Advanced Functions & Introductory Calculus, Nelson, 2002

Mathematics 12, Addison Wesley, 1988

Course Description: This course extends students’ experience with functions. Students willinvestigate the properties of polynomial, rational, logarithmic, and trigonometric functions; develop techniques for combining functions; broaden their understanding of rates of change; and develop facility in applying these concepts and skills. Students will also refine their use of the mathematical processes necessary for success in senior mathematics. This course is intended both for students taking the Calculus and Vectors course as a prerequisite for a university program and for those wishing to consolidate their understanding of mathematics before proceeding to any one of a variety of university programs.

Evaluation:70%Term Work

30%Final Exam

The assessment/evaluation methods are based on the achievement chart found in the Provincial Curriculum documents. Final marks will be calculated based on the percentages indicated.

Topic / Approximate Number of Days
U1: Polynomials Functions_Algebra / 11
U2: Polynomial Functions_Geometry / 9
U3: Rational Functions / 8
U4: Trigonometric Functions / 13
U5: Trigonometric Identities and Equations / 11
U6: Exponential and Logarithmic Functions / 12
U7: Characteristics of Functions / 11
U8: Average and Instantaneous Rates of Change / 8
Summative Review / 5
Total / 88

Equipment:Bring a pen, pencil, eraser, paper, notebook, calculator, and textbook to every class.

Website: The following website will have a general outline of daily work along with some notes,

seatwork, and other helpful activities: noorduynmathhelp.com

Expectations: The completion of homework is an essential ingredient for success in this course. Use common sense and common courtesy. Be on time!! Don’t disrupt others! Be present! Study!! Ask for help if you need it! Extra Help is available everyday at lunch.