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MHF4U 2016-2017 Semester 1
This version was saved 6 years, 7 months ago
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Saved by Steve Sweeney
on September 26, 2017 at 1:46:38 pm
MHF4U - Advanced Functions (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.
Prerequisites:
- Functions, Grade 11, University Preparation; or
- Mathematics for College Technology, Grade 12, College Preparation
This page will have a daily breakdown of the course. Most recent classes are at the top of the page, while the older classes get pushed to the bottom.
The beginning of each unit will be marked in blue.
Evaluations (e.g., tests, assignments, quizzes) will be marked in red.
University of Waterloo CEMC Courseware for MHF4U & MCV4U
Corrections to MHF4U Textbook Answer Section
Full Course (all video lessons, completed notes, assigned homework, extra resources)
Date |
Topic / Lesson
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Extra Resources
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Assigned Work
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S27
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Dividing Polynomials
note
video lesson
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KA - Polynomial Long Division
KA - Synthetic Division
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p.168 # 1, 4, 5ace, 6ace, 7ac, 8d, 9ac, 10ace, 11, 12, 14 |
S26
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Transformations of Polynomials
note
video lesson
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p.155 # 2, 3, 4bde, 5, 6bde, 7, 8, 9, 10ace, 11, 14 |
S25
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Characteristics of Factored Form
note
video lesson
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p.146 # 1, 2, 4, 6, 9, 10, 12, 13, 14 |
S22
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Characteristics of Polynomials
note
video lesson
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handout: graphs of polynomials
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p.136 # 5, 7, 8, 9, 12, 14, 15, 16 |
S21
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Polynomial Functions
note
video lesson
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[VT - Pascal's Triangle & Binomial Expansion]
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p.127 # 1 - 5 |
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Unit 2: Polynomial Functions |
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S20 |
Test - Functions & Rates of Change |
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S19
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Review - Functions & Rates of Change |
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p.60 # 1-4, 6, 7-9, 10-17
p.116 # 2-7
note: many better questions in daily homework
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S18
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Graphical Representations of Rate of Change
note
video lesson
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p.103 # 3, 5, 9, 10 p.111 # 2, 10, 13 |
S15
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Average & Instantaneous Rates of Change
note
video lesson
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p.76 # 8, 9
p.85 # 4, 5, 7
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S14
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Combinations of Functions
(using simple arithmetic operations)
note
video lesson
|
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Try to complete Ex.2 & Ex.3 on your own
p.57 # 2, 3, 4, 5, 6
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S13
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Piecewise Functions
note
video lesson
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KA - Piecewise Example |
p.51 # 3, 4, 5cd, 6, 8, 9, 11, 13 |
S12
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Function Inverses
note
video lesson
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KA - Function Inverses
KA - Restricting Domain for Inverse Functions
KA - Determine Inverse Algebraically Ex1 Ex2 Ex3
MCR3U - Function Inverses
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p.44 # 4, 5, 6bd, 7, 9, 11, 12c, 13, 17 |
S11
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Review: Transformations of Functions
note
video lesson
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handout
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p.36 # 4, 5, 6, 7, 9, 10, 15, 16ab |
S08
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Properties of Graphs
note
video lesson
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Khan A - Even/Odd Functions
handout answers
MHF4U Parent Function Graphs
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p.23 # 12, 3, 4, 5, 7, 8, 9, 10, 14
use handout for 12, 14
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S07 |
Absolute Value Function
note
video lesson
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p.16 # 3-10 |
S06 |
Review - Functions Domain Range
note
video lesson
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Khan Academy - What is a Function?
(there are several videos in series)
Interval Notation
MHF4U Parent Function Graphs
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p.11 # 1, 2, 3, 4, 6, 8, 11, 12, 14
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Unit 1: Functions & Rates of Change
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S05
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Course Intro
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"Getting Started" from Ch.1, 2, 3
(hand in tomorrow)
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Full Course (all video lessons, completed notes, assigned homework, extra resources)
MHF4U 2016-2017 Semester 1
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