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MHF4U 2017-2018 Semester 1

Page history last edited by Steve Sweeney 6 years, 3 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

Mark Breakdown:

Unit Tests: 70%

Final Exam: 30%

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

MHF4U Solutions Manual

Full Course (all video lessons, completed notes, assigned homework, extra resources)

Date	Topic / Lesson	Extra Resources	Assigned Work
	Final Exam Review exam review suggestions	Review # 1 (w/ answers) Review # 2 Review # 3 (w/ answers) Carleton Engineering Free Math & Physics Help	p.188 #1,2,4,6,8-11,14,15,20,22,23,24,26-30 p.380 #1,2,4,5,6,8-25,27 p.580 #1-6,8,9,11,12,14,16,18,19,21,22,26,29,31,32,34

J17	Test: Combinations of Functions
J16	Review - Combinations of Functions	extra review extra review solutions	p.576 # 2, 4, 5, 6bcd, 7cd, 8, 9, 11, 12d
J11	Solving Equations & Inequalities note		p.560 # 1, 3, 4, 5ef, 6ace, 9bdf
J10	work period
J09	Composition of Functions class notes: AM PM note video lesson	worked example - lists of points	p.552 # 1, 2abf, 3, 5aef, 6def, 7cf, 10, 13
J08	work period
D21	work period
D20	Dividing Functions class notes: AM PM note video lesson		p.542 # 1, 2, 3 p.544 # 3, 4, 6
D19	Multiplying Functions class notes: AM PM note video lesson		p.537 # 1ae, 3, 4bef, 5bef, 8ad, 11, 12
D18	Adding & Subtracting Functions class notes: AM PM note video lesson		p.528 # 1ace, 2, 3, 5, 7, 9acef, 10, 11, 13
D15	Exploring Combinations of Functions	Handout Video - Sound of Adding Sine Waves	p.520 # 1, 2
	Unit 7: Combinations of Functions
D14	Test: Logarithmic & Exponential Functions
D13	Review		* look at all notes & homework * p.510 # 1, 2, 3, 6a, 7, 8, 10, 11bc, 13, 14ac, 15bd, 17, 19, 22, 23
D12	work period
D11	Rates of Change in Log Functions note		p.507 # 4, 7acd, 11abc Note: 7b equation y=0.0017(1.7698)^x
D08	work period
D07	Solving Exp & Log Problems class notes: AM PM note video lesson	Worksheet - Word Problems	p.499 # 1, 2, 3, 5a, 6a, 11, 13, 15
D06	work period
D05	Solving Exp & Log Equations class notes: AM PM note video lesson		p.485 # 2, 8, 10, 17 p.491 # 4, 5, 7, 12
D04	Laws of Logarithms class notes: AM PM note video lesson		p.475 # 5, 6, 7, 9ace, 10ace, 11bde, 17
D01	Evaluating Logarithms class notes: AM PM note video lesson	VT - Changing Base of Logs	p.466 # 3 (using rule 1 or 2), # 5 (using 1 or 2), 8 (using 4), 6, 9, 12, 17
N30	Graphs & Transformations of Log Functions class notes: AM PM no video lesson, note	Worksheet - Transformations & Graphing Logs	p.456 # 1-3 (basics), 4, 5, 8, 9, 11
N29	Introduction to Logarithmic Functions class notes: AM PM video lesson	Handout - Graphs of Exp & Log Functions	p.451 # 4 - 9
	Unit 6: Exponential & Logarithmic Functions
N28	Test: Trigonometry Part 2
N27	Review	Additional Worksheets: double angle problems angle problems & identities equations using identities non-linear equations, factoring	p.440 # 1, 2, 3ac, 4, 5, 6, 7, 8, 9, 10, 11b, 12bcd, 13
N21	Solving Quadratic Trig Equations class notes: AM PM video lesson		p.436 # 1, 3, 6ac, 7bd, 8ad, 9ac, 11, 14, 18 work period next class before, complete: 1, 3, 6a, 7b, 8a, 9a day of, complete: 6c, 7d, 8d, 9c, 11, 14
N20	Solving Linear Trig Equations class notes: AM PM video lesson		p.426 # 1bdf, 2bdf, 5, 6bdf, 8, 10bef, 11, 18
N17 N16	Trigonometric Identities class notes: AM PM video lesson	MCR3U: WS 3.3 Trig Identities(solutions)	p.416 # 5, 8, (9, 10, 11)(odd), 17
N15	Double Angle Formulas class notes: AM PM video lesson		p.407 # 1-3, 5, 6, 8, 9 (see p.406), 13
N14	Compound Angle Formulas class notes: AM PM video lesson (Addition & Subtraction Identities)	Worksheet - RAA & CAST Rule (w/ Answers)	p.400 # 1-4, 5acf, 6cde, 8, 9ade, 10, 13
N10	Equivalent Trigonometric Functions class notes: AM PM video lesson	Trig Identities Sheet	p.392 # 1, 2a, 3acd, 4a, 5abc
	Unit 5: Trigonometric Identities & Equations	Ch.7 Solution Manual
N08	Test: Trigonometry Part 1
N07	Review - Trigonometric Functions	WS: RAA & CAST Rule (exact values & calculator work)	p.376 # 1-4, 6, 7, 10, 11bd, 12, 14-17, 19
N06	Rates of Change in Trigonometric Functions previous course notes: AM PM		p.369 # 1 - 3, 4bd, 6, 7, 8, 12, 15
N03	Homework / Work Period	worksheet w/ extra problems Solutions: 1 2 3 4 5 6 7 8 9 10
N02	Modelling with Trigonometric class notes: AM PM Function video lesson		p.360 # 1-3, 5, 6, 7, 9, 11
N01	Graphs of Reciprocal Trig Functions class notes: AM PM video lesson (new version, sound fixed)	worksheet	p.353 # 1, 2, 3, 6, 7
O31	Transformations of Trig Functions class notes: AM PM video lesson	VT (SS) - Graphing Sinusoidal by Transformations VT (SS) - Determining Sinusoidal Equations from Graphs	p.343 # 1bd, 3, 4, 5, 8ade, 9, 11, 12, 14 WS (Extra) - Transformations by Key Features
O30	Graphs of Trig Functions (focus on tangent function) class notes: AM PM video lesson	Video: Sine Graph from Circular Motion	p.336 # 2c, 3, 5
O27	Radian Angles in the Cartesian Plane class notes: AM PM note video lesson	Worksheet - RAA & CAST Rule (w/ Answers) MCR3U Trig Lessons	p.330 # 1-4, 5ace, 6ace, 7ace, 8ace, 9, 11, 13
O26	Radian Measure Class notes: AM PM video lesson	MCR3U Materials/Skills Trigonometry of Any Angle - CAST Rule VT (SS) - Exercises w/ CAST & Trig Ratios (TOO LOUD!) VT (SS) - Solving Linear Trig Equation using RAA & CAST Rule	p.320 # 1 - 4, 6 - 10, 15
	Unit 4: Trigonometric Functions
O25	Test: Polynomial & Rational Equations & Inequalities
O24	Review - Polynomial & Rational Functions		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
O23	Rates of Change in Rational Functions Class Notes: AM PM no video lesson		p.303 # 1, 2, 4, 6bc, 10, 13
O20	Solving Rational Inequalities Class Notes: AM PM note video lesson		p.295 # 1, 4acf, 5ace, 7, 9, 13
O19	Solving Rational Equations Class Notes: AM PM note video lesson	3U Simplify Rationals Lesson VT 3U Multiply/Divide Lesson VT 3U Add/Subtract Lesson VT1 VT2	p.286 # 5ace, 6bcf, 10, 12, 13 (see p.278 for help on 10, 13)
O18	Graphing Rational Functions Class Notes: AM PM note video lesson	Sample Problem PDF VT	p.272 # 1, 3, 5bcd, 6bd, 14 worksheet (more complex problems, optional)
O17	Rational Functions & Asymptotes Class Notes: AM PM note video lesson		p.262 # 1, 2, 3
O16	Graphs of Reciprocal Functions Class Notes: AM PM note video lesson		p.254 # 1, 2def, 6bcd, 8bdf, 9bc, 11, # 16 (find equation of reciprocal (shown) and original function)
O13	Rates of Change in Polynomials note video lesson		p.235 # 5cde, 6cde, 7, 9, 11
O12 O05	Solving Nonlinear Inequalities Algebraically note video lesson		p.225 # [1bd, 2, 3] fundamentals 5, 6bdf, 7bdf (no graph or use tech), 8, 10, 11, 15 18 [not taking up]
O04	Solving Linear Inequalities Notes: AM PM video lesson		p.213 # 5bdf, 6be, 7bdf, 8, 9, 11, 15, 19
O03	Solving Polynomial Equations Notes: AM PM video lesson		p.204 # 6, 7ad, 10, 13, 16
	Unit 3: Solving Equations & Inequalities
O11	Test: Polynomials
O10	Review - Polynomials		p.161 # 3 - 9 p.184 # 1-3, 7, 9bdf, 10bd, 11ac, 12b, 14ad, 15bd, 16ac, 17bd
O02	Factoring Cubic Polynomials note video lesson		WS - Factoring Sum & Difference of Polynomials (H/W on WS) WS (Extra) - Factoring Sum/Difference of Cubes
S29	Work Period
S28	Factoring Polynomials note video lesson	KA - Example - Remainder Theorem	p.176 # [1-3][basics], 4bf, 5ac, 6abc, 7df, 8, 9, 10, 13, 17
S27	Dividing Polynomials note video lesson	KA - Polynomial Long Division KA - Synthetic Division	p.168 # 1, 4, 5ace, 6ace, 7ac, 8d, 9ac, 10ace, 11, 12, 14
S26	Transformations of Polynomials note video lesson		p.155 # 2, 3, 4bde, 5, 6bde, 7, 8, 9, 10ace, 11, 14
S25	Characteristics of Factored Form note video lesson		p.146 # 1, 2, 4, 6, 9, 10, 12, 13, 14
S22	Characteristics of Polynomials note video lesson	handout: graphs of polynomials	p.136 # 5, 7, 8, 9, 12, 14, 15, 16
S21	Polynomial Functions note video lesson	[VT - Pascal's Triangle & Binomial Expansion]	p.127 # 1 - 5
	Unit 2: Polynomial Functions
S20	Test - Functions & Rates of Change
S19	Review - Functions & Rates of Change		p.60 # 1-4, 6, 7-9, 10-17 p.116 # 2-7 note: many better questions in daily homework
S18	Graphical Representations of Rate of Change note video lesson		p.103 # 3, 5, 9, 10 p.111 # 2, 10, 13
S15	Average & Instantaneous Rates of Change note video lesson		p.76 # 8, 9 p.85 # 4, 5, 7
S14	Combinations of Functions (using simple arithmetic operations) note video lesson		Try to complete Ex.2 & Ex.3 on your own p.57 # 2, 3, 4, 5, 6
S13	Piecewise Functions note video lesson	KA - Piecewise Example	p.51 # 3, 4, 5cd, 6, 8, 9, 11, 13
S12	Function Inverses note video lesson	KA - Function Inverses KA - Restricting Domain for Inverse Functions KA - Determine Inverse Algebraically Ex1 Ex2 Ex3 MCR3U - Function Inverses	p.44 # 4, 5, 6bd, 7, 9, 11, 12c, 13, 17
S11	Review: Transformations of Functions note video lesson	handout	p.36 # 4, 5, 6, 7, 9, 10, 15, 16ab
S08	Properties of Graphs note video lesson	Khan A - Even/Odd Functions handout answers MHF4U Parent Function Graphs	p.23 # 12, 3, 4, 5, 7, 8, 9, 10, 14 use handout for 12, 14
S07	Absolute Value Function note video lesson		p.16 # 3-10
S06	Review - Functions Domain Range note video lesson	Khan Academy - What is a Function? (there are several videos in series) Interval Notation MHF4U Parent Function Graphs	p.11 # 1, 2, 3, 4, 6, 8, 11, 12, 14
	Unit 1: Functions & Rates of Change
S05	Course Intro		"Getting Started" from Ch.1, 2, 3 (hand in tomorrow)

Full Course (all video lessons, completed notes, assigned homework, extra resources)

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MHF4U 2017-2018 Semester 1

MHF4U 2017-2018 Semester 1

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