MHF4U 2018-2019 Semester 1

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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
J25	Final Exam Friday, January 25th Room 205 9am (textbook return 8:45am)
J24 J23 J22 J21 J18 J17	Exam Review exam review suggestions	Review # 1 (w/ answers) Review # 2 Review # 3 (w/ answers)	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
J16	Test - Combinations of Functions
J15	Review - Combinations of Functions		p.576 # 2, 4, 5, 6bcd, 7cd, 8, 9, 11, 12d
J14	Solving Equations & Inequalities class note note		p.560 # 1, 3, 4, 5ef, 6ace, 9bdf
J11	work period
J10	work period
J09	Composition of Functions class note note video lesson		p.552 # 1, 2abf, 3, 5aef, 6def, 7cf, 10, 13
J08	Dividing Functions class note note video lesson		p.542 # 1, 2, 3 p.544 # 3, 4, 6
J07	Multiplying Functions class note note video lesson		p.537 # 1ae, 3, 4bef, 5bef, 8ad, 11, 12
D20	Adding & Subtracting Functions class note note video lesson		p.528 # 1ace, 2, 3, 5, 7, 9acef, 10, 11, 13
D19	Exploring Combinations of Functions	Handout Video - Sound of Adding Sine Waves	p.520 # 1, 2
	Unit 7: Combinations of Functions
D18	Test - Logarithmic Functions
D17	Review		* look at all notes & homework * p.510 # 1, 2, 3, 6a, 7, 8, 10, 11bc, 13, 14ac, 15bd, 17, 19, 22, 23
D14	Rates of Change in Log Functions note		p.507 # 4, 7acd, 11abc Note: 7b equation y=0.0017(1.7698)^x
D13	work period
D12	Solving Exp & Log Problems class note note video lesson	Worksheet - Word Problems	p.499 # 1, 2, 3, 5a, 6a, 11, 13, 15
D11	Work Period		p.485 # 4, 6bc, 7, 11 p.492 # 3, 9
D10	Solving Exp & Log Equations class note note video lesson		p.485 # 2, 8, 10, 17 p.491 # 4, 5, 7, 12
D07	Laws of Logarithms class note note video lesson		p.475 # 5, 6, 7, 9ace, 10ace, 11bde, 17
D05	Evaluating Logarithms class note 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
D04	Graphs & Transformations of Log Functions class note note	Worksheet - Transformations	p.456 # 1-3 (basics), 4, 5, 8, 9, 11
N28	Introduction to Logarithmic Functions class note video note video lesson	Handout - Graphs of Exp & Log Functions	p.451 # 4 - 9
	Unit 6: Exponential & Logarithmic Functions
D03	Test: Trig Identities & Equations
N30 N29	Review		p.440 # 1, 2, 3ac, 4, 5, 6, 7, 8, 9, 10, 11b, 12bcd, 13
N27	work period
N26	Solving Quadratic Trig Equations class notes 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
N23	PD Day
N22	assembly
N21	Solving Linear Trig Equations video lesson	Quiz Solutions - Compound & Double Angles	p.426 # 1bdf, 2bdf, 5, 6bdf, 8, 10bef, 11, 18
N20	work period
N19	Trigonometric Identities class note video lesson	MCR3U: WS 3.3 Trig Identities(solutions) MHF4U: WS Trig Identities (solutions)	p.416 # 5, 8, (9, 10, 11)(odd), 17
N16	Double Angle Formulas class note video lesson		p.407 # 1-3, 5, 6, 8, 9 (see p.406), 13
N15	Compound Angle Formulas class note video lesson (Addition & Subtraction Identities)	Worksheet - RAA & CAST Rule (w/ Answers)	p.400 # 1-4, 5acf, 6cde, 8, 9ade, 10, 13
N14	Equivalent Trigonometric Functions class note video lesson	Trig Identities Sheet	p.392 # 1, 2a, 3acd, 4a, 5abc
	Unit 5: Trigonometric Identities & Equations
N13	Test: Trigonometric Functions
N12 N09	Review: Trigonometric Functions		p.376 # 1-4, 6, 7, 10, 11bd, 12, 14-17, 19
N08	Activity: Model Periodic Data
N07	Rates of Change in Trigonometric Functions no video lesson note		p.369 # 1 - 3, 4bd, 6, 7, 8, 12, 15
N06 N05	Modelling with Trigonometric Function video note video lesson	worksheet w/ extra problems Solutions: 1 2 3 4 5 6 7 8 9 10	p.360 # 1-3, 5, 6, 7, 9, 11
N02	Graphs of Reciprocal Trig Functions video note video lesson	worksheet	p.353 # 1, 2, 3, 6, 7
N01	Transformations of Trig Functions video note 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
O31	Graphs of Trig Functions (focus on tangent function) video note video lesson	Video: Sine Graph from Circular Motion	p.336 # 2c, 3, 5
O30	Radian Angles in the Cartesian Plane video lesson	Worksheet - RAA & CAST Rule (w/ Answers) MCR3U Trig Lessons	p.330 # 1-4, 5ace, 6ace, 7ace, 8ace, 9, 11, 13
O29	Radian Measure video lesson		p.320 # 1 - 4, 6 - 10, 15
	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
	Unit 4: Trigonometric Functions
O26	Test: Polynomial & Rational Inequalities
O25 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 no video lesson		p.303 # 1, 2, 4, 6bc, 10, 13
O22	Solving Rational Inequalities note video lesson		p.295 # 1, 4acf, 5ace, 7, 9, 13
O19	Solving Rational Equations class note 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 note note video lesson	Sample Problem PDF VT	p.272 # 1, 3, 5bcd, 6bd, 14 worksheet (more complex problems, optional)
O17	Rational Functions & Asymptotes class note note video lesson		p.262 # 1, 2, 3
O16	Graphs of Reciprocal Functions class note note video lesson		p.254 # 1, 2def, 6bcd, 8bdf, 9bc, 11, # 16 (find equation of reciprocal (shown) and original function)
O15	Rates of Change in Polynomials note video lesson		p.235 # 5cde, 6cde, 7, 9, 11
O12	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]
O11	Solving Linear Inequalities class note note video lesson		p.213 # 5bdf, 6be, 7bdf, 8, 9, 11, 15, 19
O04	Solving Polynomial Equations class note note video lesson		p.204 # 6, 7ad, 10, 13, 16
	Unit 3: Equations & Inequalities
O10	Test: Polynomials
O09	Review - Polynomials		p.161 # 3 - 9 p.184 # 1-3, 7, 9bdf, 10bd, 11ac, 12b, 14ad, 15bd, 16ac, 17bd
O03	Factoring Cubic Polynomials class note note video lesson		WS - Factoring Sum & Difference of Polynomials (H/W on WS)
O02 O01	Factoring Polynomials class note note video lesson	KA - Example - Remainder Theorem	p.176 # [1-3][basics], 4bf, 5ac, 6abc, 7df, 8, 9, 10, 13, 17
S28	Dividing Polynomials class note note video lesson	KA - Polynomial Long Division KA - Synthetic Division	p.168 # 1, 4, 5ace, 6ace, 7ac, 8d, 9ac, 10ace, 11, 12, 14
S27	Transformations of Polynomials class note video note video lesson		p.155 # 2, 3, 4bde, 5, 6bde, 7, 8, 9ace, 10, 11, 14
S26	Characteristics of Factored Form class note note video lesson		p.146 # 1, 2, 4, 6, 9, 10, 12, 13, 14
S25	Characteristics of Polynomials note video lesson		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 & Rate 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
S17	work period
S14	Average & Instantaneous Rates of Change note video lesson		p.76 # 8, 9 p.85 # 4, 7, 9, 10, 15
S13	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
S12	Piecewise Functions note video lesson	KA - Piecewise Example	p.51 # 3, 4, 5cd, 6, 8, 9, 11, 13
S11	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
S10	Review: Transformations of Functions note video lesson	handout	p.36 # 4, 5, 6, 7, 9, 10, 15, 16ab
S07	Properties of Graphs video lesson	Khan A - Even/Odd Functions Interval Notation	p.23 # 12, 3, 4, 5, 7, 8, 9, 10, 14 use handout for 12, 14
S06	Absolute Value Function video lesson		p.16 # 3-10
S05	Review - Functions, Domain, Range video lesson	Khan Academy - What is a Function? (there are several videos in series) Interval Notation	p.11 # 1, 2, 3, 4, 6, 8, 11, 12, 14
	Unit 1: Functions & Rates of Change
S04	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 2018-2019 Semester 1

MHF4U 2018-2019 Semester 1

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