Categories: Mathematics
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About Course

Advanced Functions, Grade 12, University Preparation 

This course extends students’ experience with functions. Students will investigate 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.

Prerequisite: MCR3U or MCT4C

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Course Content

Orientation - Zoom meeting

  • Orientation – Zoom meeting
  • Assessment As Learning
  • Course Syllabus
  • Curriculum Documents and Resources

Assessment As Learning
Checklist Generic Peer Assessment Generic Self-Assessment Generic

Unit 1 – Chapter 1

Chapter 1. Polynomial Functions
Chapter 1 Polynomial Functions 1 Prerequisite Skills 2 1.1 Power Functions 4 1.2 Characteristics of Polynomial Functions 15 1.3 Equations and Graphs of Polynomial Functions 30 1.4 Transformations 42 1.5 Slopes of Secants and Average Rate of Change 53 1.6 Slopes of Tangents and Instantaneous Rate of Change 65 Review 74 Practice Test 78 Task: Create Your Own Water Park 80

Unit 2 – Chapter 2 & 3

Chapter 2. Polynomial Equations and Inequalities
Chapter 2 Polynomial Equations and Inequalities

Chapter 3. Rational Functions
Chapter 3 Rational Functions

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