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MHF4U - 2014-2015 Semester 1
Page history
last edited
by Steve Sweeney 7 years, 7 months ago
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
Per2
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Per3 |
Topic / Lesson
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Extra Resources
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Assigned Work
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J27 |
J28
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Final Exam |
Review # 1 (w/ answers)
Review # 2
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J20 |
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Summative Part 2 |
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J15 |
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Quest (long quiz, short test) |
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J14 |
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Review - Combinations of Functions |
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p.576 # 2, 4, 5, 6bcd, 7cd, 8, 9, 11, 12d |
J13 |
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Solving Equations & Inequalities AM PM |
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p.560 # 1, 3, 4, 5ef, 6ace, 9bdf |
J09 |
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Composition of Functions AM PM |
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p.552 # 1, 2abf, 3, 5aef, 6def, 7cf, 10, 13 |
J08 |
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Dividing Functions AM PM |
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p.542 # 1, 2, 3
p.544 # 3, 4, 6
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J07 |
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Multiplying Functions AM PM |
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p.537 # 1ae, 3, 4bef, 5bef, 6ef, 8ad, 11, 12 |
J06 |
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Adding & Subtracting Functions AM PM |
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p.528 # 1ace, 2, 3, 5, 7, 9acef, 10, 11, 13 |
J05 |
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Exploring Combinations of Functions |
Handout
Video - Sound of Adding Sine Waves
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p.520 # 1, 2 |
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Unit 7 - Combinations of Functions
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D17 |
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Summative Part 1 |
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D16
D15
D12
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Summative Prep |
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D12 |
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D11 |
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Test - Logarithmic Functions |
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D10
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Review |
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*** look at all notes & homework ***
p.510 # 1, 2, 3, 6a, 7, 8, 10, 11bc, 13,
14ac, 15bd, 17, 19, 22, 23
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D08 |
D09
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Solving Exp & Log Problems AM PM
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p.499 # 1, 2, 3, 5a, 6a, 11, 13, 15
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D09 |
D08
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Rates of Change in Log Functions AM PM
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p.507 # 4, 7, 11abc
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D05 |
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Work Period |
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p.485 # 4, 6bc, 7, 11
p.492 # 3, 9
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D04 |
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Solving Exp & Log Equations AM PM |
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p.485 # 2, 8, 10, 17
p.491 # 4, 5, 7, 12
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D03 |
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Laws of Logarithms AM PM |
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p.475 # 5, 6, 7, 9ace, 10ace, 11bde, 17
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D02
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Evaluating Logarithms AM PM
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VT - Changing Base of Logs
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p.466 # 3 (using rule 1 or 2),
# 5 (using 1 or 2), 8 (using 4), 6, 9, 12, 17
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D01 |
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Retest - Trigonometric Identities & Equations |
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N28 |
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Graphs & Transformations of Log Functions AM PM
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p.456 # 1-3 (basics), 4, 5, 8, 9, 11
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N27
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Introduction to Logarithmic Functions AM PM
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Handout - Graphs of Exp & Log Functions
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p.451 # 4 - 9
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Unit 6: Exponential & Logarithmic Functions |
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N26 |
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Test - Trigonometric Identities & Equations |
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N25 |
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Review |
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p.440 # 1, 2, 3ac, 4, 5, 6, 7, 8, 9, 10, 11b, 12bcd, 13 |
N24 |
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Work Period |
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N20 |
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Solving Quadratic Trig Equations AM PM |
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p.436 # 1, 3, 6ac, 7bd, 8ad, 9ac, 11, 14, 18
- work period Monday
- for Monday, try to complete: 1, 3, 6a, 7b, 8a, 9a
- for Tuesday, try to complete: 6c, 7d, 8d, 9c, 11, 14
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N19 |
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Solving Linear Trig Equations AM PM |
Quiz Solutions - Compound & Double Angles
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p.426 # 1bdf, 2bdf, 5, 6bdf, 8, 10bef, 11,
18
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N17 |
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Trigonometric Identities AM PM |
MCR3U: WS 3.3 Trig Identities(solutions) |
p.416 # 5, 8, (9, 10, 11)(odd), 17 |
N14 |
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Double Angle Formulas AM PM |
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p.407 # 1-3, 5, 6, 8, 9 (see p.406), 13 |
N13 |
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Compound Angle Formulas AM PM
(Addition & Subtraction Identities)
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Worksheet - RAA & CAST Rule (w/ Answers)
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p.400 # 1-4, 5acf, 6cde, 8, 9ade, 10, 13 |
N07 |
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Equivalent Trigonometric Functions AM PM |
Trig Identities Sheet
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p.392 # 1, 2a, 3acd, 4a, 5abc
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Unit 5: Trigonometric Identities & Equations
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N12 |
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Test - Trigonometric Functions |
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N10 |
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Review - Trigonometric Functions |
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p.376 # 1-4, 6, 7, 10, 11bd, 12, 14-17, 19
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N06 |
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Rates of Change in Trigonometric Functions AM PM
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p.369 # 1 - 3, 4bd, 6, 7, 8, 12, 15
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N05 |
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Activity - Model Periodic Data |
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N04 |
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Homework / Work Period |
worksheet w/ extra problems
Solutions: 1 2 3 4 5 6 7 8 9 10
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N03 |
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Modelling with Trigonometric Function AM PM |
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p.360 # 1-3, 5, 6, 7, 9, 11 |
O31 |
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Graphs of Reciprocal Trig Functions AM PM |
worksheet |
p.353 # 1, 2, 3, 6, 7 |
O30 |
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Transformations of Trig Functions AM PM |
Video: Sine Graph from Circular Motion
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p.343 # 1bd, 3, 4, 5, 8ade, 9, 11, 12, 14 |
O29 |
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Graph of the Tangent Function AM PM |
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p.336 # 2c, 3, 5
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O24 |
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Radian Angles in the Cartesian Plane AM PM |
MCR3U Trig Lessons |
p.330 # 1-4, 5ace, 6ace, 7ace, 8ace, 9, 11, 13 |
O23 |
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Radian Measure AM PM |
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p.320 # 1 - 4, 6 - 10, 15 |
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Unit 4 - Trigonometric Functions |
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O28 |
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Test - Polynomial & Rational Functions |
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O27 |
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Review - Polynomial & Rational Functions |
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p.240 # 1ac, 2, 3, 4, 6ad, 7ad, 8bd, 10a, 11, 14c, 15, 16
p.308 # 1, 2, 3bd, 5bd, 7bc, 8, 9, 10cd, 11, 12, 13
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O22 |
O22 |
Rates of Change in Rational Functions AM PM
Quiz - Graphing Rational Functions
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p.303 # 1, 2, 4, 6bc, 10, 13 |
O21 |
O21 |
Solving Rational Inequalities AM PM |
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p.295 # 1, 4acf, 5ace, 7, 9, 13 |
O20 |
O20 |
Solving Rational Equations AM PM |
3U Simplify Rationals Lesson VT
3U Multiply/Divide Lesson VT
3U Add/Subtract Lesson VT1 VT2
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p.286 # 5ace, 6bcf, 10, 12, 13
(see p.278 for help on 10, 13)
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O16 |
O16 |
Graphing Rational Functions AM PM |
Sample Problem PDF VT
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p.272 # 1, 3, 5bcd, 6bd, 14 |
O15 |
O15 |
Rational Functions & Asymptotes AM PM |
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p.262 # 1, 2, 3 |
O14 |
O14 |
Graphs of Reciprocal Functions AM PM |
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p.254 # 1, 2def, 6bcd, 8bdf, 9bc, 11
# 16 (find equation of reciprocal (shown) and
original function)
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O09 |
O09 |
Rates of Change in Polynomials AM PM |
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p.235 # 5cde, 6cde, 7, 9, 11 |
O08
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O08
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Work Period: Nonlinear Inequalities
Quiz - Solving Inequalities
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O07 |
O07 |
Solving Nonlinear Inequalities Algebraically AM PM
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p.225 # [1bd, 2, 3] fundamentals
5, 6bdf, 7bdf (no graph or use tech), 8, 10, 11, 15
18 [not taking up]
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O06 |
O02 |
Solving Linear Inequalities AM PM |
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p.213 # 5bdf, 6be, 7bdf, 8, 9, 11, 15, 19
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O03 |
O01
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Solving Polynomial Equations AM PM |
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p.204 # 6, 7ad, 10, 13, 16
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Unit 3 - Polynomial/Rational Equations & Inequalities |
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O02 |
O02
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Test - Polynomals |
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S30 |
S30 |
Review - Polynomials |
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p.161 # 3 - 9
p.184 # 1-3, 7, 9bdf, 10bd, 11ac, 12b, 14ad, 15bd, 16ac, 17bd
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S29 |
S29 |
Transformations of Polynomials AM PM |
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p.155 # 2, 3, 4bde, 5, 6bde, 7, 8, 9, 10ace, 11, 14 |
S26 |
S26 |
Factoring Cubic Polynomials
(independent work) AM PM
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WS - Factoring Sum & Difference of Polynomials
(H/W on WS)
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S25 |
S25 |
Factoring Polynomials AM PM |
KA - Example - Remainder Theorem |
p.176 # [1-3][basics], 4bf, 5ac, 6abc, 7df, 8, 9, 10, 13, 17
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S24
S23
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S24
S23
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Dividing Polynomials AM PM |
KA - Polynomial Long Division
KA - Synthetic Division
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p.168 # 1, 4, 5ace, 6ace, 7ac, 8d, 9ac, 10ace, 11, 12, 14 |
S22 |
S22 |
Combinations of Functions AM PM |
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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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S19 |
S19 |
Characteristics of Factored Form AM PM |
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p.146 # 1, 2, 4, 6, 9, 10, 12, 13, 14 |
S18 |
S18 |
Characteristics of Polynomials AM PM |
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p.136 # 5, 7, 8, 9, 12, 14, 15, 16 |
S17 |
S17 |
Polynomial Functions AM PM |
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p.127 # 1 - 5 |
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Unit 2 - Polynomials
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S16 |
S16 |
Test - Functions & Rates of Change |
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S15 |
S15 |
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 homework
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S11 |
S11 |
Graphical Representations of RoC |
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S10 |
S10 |
Average & Instantaneous Rates of Change
AM PM
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p.76 # 8, 9
p.85 # 4, 5, 7
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Unit 1b - Rates of Change
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S09
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S09
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Piecewise Functions AM PM |
KA - Piecewise Example
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p.51 # 3, 4, 5cd, 6, 8, 9, 11, 13 |
S08
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S08
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Function Inverses AM PM
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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
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S05 |
S05 |
Review: Transformations of Functions
(no note, handout) AM PM
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p.36 # 4, 5, 6, 7, 9, 10, 15, 16ab |
S04 |
S04 |
Properties of Graphs AM PM |
Khan A - Even/Odd Functions |
p.23 # 12, 3, 4, 5, 7, 8, 9, 10, 14
use handout for 12, 14
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S03 |
S03 |
Absolute Value Function AM PM |
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p.16 # 3-10 |
Sep2
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S02
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Review - Functions, Domain, Range AM PM
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Khan Academy - What is a Function?
(there are several videos in series)
Interval Notation
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p.11 # 1, 2, 3, 4, 6, 8, 11, 12, 14
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Unit 1a - Functions (includes review)
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MHF4U - 2014-2015 Semester 1
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