MHF4U 2020-2021 Quad1 Sept-Nov

Page history last edited by Steve Sweeney 4 years ago

Corrections to MHF4U Textbook Answer Section

Week 5, Nov.9 to Nov.13:

Day	Lesson #	Live Cohort	Topic / Lesson	Extra Resources	Assigned Work
M	45		Solving Exp & Log Equations videoNote video lesson		p.485 # 2, 5, 8, 10, 17 p.491 # 4, 5, 7, 10, 12, 15, 16, 19
Tu	46		Solving Exp & Log Problems videoNote video lesson		p.499 # 1, 2, 3, 5a, 6a, 11, 13, 15, 17 Worksheet - Word Problems
W	49		Adding & Subtracting Functions videoNote video lesson		p.528 # 1ace, 2, 3, 5, 7, 9acef, 10, 11, 13
W	50		Multiplying Functions videoNote video lesson		p.537 # 1ae, 3, 4bef, 5bef, 8ad, 11, 12
Th	51		Dividing Functions videoNote video lesson		p.542 # 1, 2, 3 p.544 # 7
Th	52		Composition of Functions videoNote video lesson		p.552 # 1, 2abf, 3, 5aef, 6def, 7cf, 10, 13
F			Average & Instantaneous Rates of Change video lesson videoNote		p.76 # 8, 9 p.85 # 4, 5, 7
F			Graphical Representations of Rate of Change video lesson videoNote		p.103 # 3, 5, 9, 10 p.111 # 2, 10, 13
F			Rates of Change in Log & Exp Functions note		p.507 # 4, 7acd, 11abc Note: 7b equation y=0.0017(1.7698)^x

Week 4, Oct.26 to Oct.30:

Day	Lesson #	Live Cohort	Topic / Lesson	Extra Resources	Assigned Work
M			3U: Fundamental Trigonometric Identities videoLesson (100%) videoNote	MHF4U Trig Identities Formula Sheet	Worksheet # 2(odd), 4(odd), 8, 7(challenging)
M			3U: Reciprocal Trigonometric Identities videoLesson (90%) videoNote	Geogebra: How the 6 Major Trig Functions Relate 10 Secret Trig Functions	WS Part A # 2, 3, 4, 6, 9, 11, 12, 14, 15 (optional) WS 3.3 Trig Identities (solutions)
Tu	37		Double Angle Formulas class note video lesson videoNote		p.407 # 1-3, 5, 6, 8, 9 (see p.406), 13
Tu	38		Trigonometric Identities class note video lesson videoNote	MCR3U: WS 3.3 Trig Identities(solutions) MHF4U: WS Trig Identities (solutions) MHF4U: WS Trig Identities (by type)	p.416 # 5, 8, (9, 10, 11)(odd), 17 MHF4U Trig Identities Formula Sheet
W	39		Solving Linear Trig Equations video lesson videoNote	Quiz Solutions - Compound & Double Angles	p.426 # 1bdf, 2bdf, 5, 6bdf, 8, 10bef, 11, 18
W	40		Solving Quadratic Trig Equations class notes video lesson videoNote		p.436 # 1, 3, 6ac, 7bd, 8ad, 9ac, 11, 14, 18
Th	41		Introduction to Logarithmic Functions video note video lesson	Handout - Graphs of Exp & Log Functions	p.451 # 4 - 9
Th	42		Graphs & Transformations of Log Functions note no video lesson	Worksheet - Transformations	p.456 # 1-3 (basics), 4, 5, 8, 9, 11
F	43		Evaluating Logarithms videoNote 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
F	44		Laws of Logarithms videoNote video lesson		p.475 # 5, 6, 7, 9ace, 10ace, 11bde, 17

Week 3, Oct.13 to Oct.16:

Day	Lesson #	Live Cohort	Topic / Lesson	Extra Resources	Assigned Work
Tu	28	A	Radian Measure video lesson		p.320 # 1 - 4, 6 - 10, 15
Tu	29	A	Radian Angles in the Cartesian Plane video lesson	Worksheet - RAA & CAST Rule (w/ Answers) Geogebra: Unit Circle related to Points & Angles Geogebra: How the 6 Major Trig Functions Relate MCR3U Trig Lessons: 3U Lesson: Angles in Cartesian Plane 3U Tutorial: Exercises w/ CAST & Trig Ratios (TOO LOUD!) 3U Tutorial: More CAST Examples	p.330 # 1-4, 5ace, 6ace, 7ace, 8ace, 9, 11, 13
W	30	B	Graphs of Trig Functions (focus on tangent function) video note video lesson	Video: Sine Graph from Circular Motion	p.336 # 2c, 3, 5
W	31	B	Transformations of Trig Functions video note video lesson	VT (SS) - Graphing Sinusoidal by Transformations 3U Lesson: Graphing Sinusoidal by Key Properties VT (SS) - Determining Sinusoidal Equations from Graphs Geogebra: Transformations of Sine in Degrees Geogebra: Transformations of Cosine in Degrees Geogebra: Transformations of Sine in Radians	p.343 # 1bd, 3, 4, 5, 8ade, 9, 11, 12, 14
Th	32	A	Graphs of Reciprocal Trig Functions video note video lesson	worksheet	p.353 # 1, 2, 3, 6, 7
Th	33	A	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
F	35	B	Equivalent Trigonometric Functions class note video lesson	Trig Identities Sheet	p.392 # 1, 2a, 3acd, 4a, 5abc
F	36	B	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

Week 2, Sept.28 to Oct.02:

Day	Lesson #	Live Cohort	Topic / Lesson	Extra Resources	Assigned Work
M	18	A	Factoring Cubic Polynomials videoNote videoLesson	previous class note	WS - Factoring Sum & Difference of Polynomials p.182 # 2adg, 3, 5, 7, 8
M	21	A	Solving Polynomial Equations videoNote videoLesson	previous class note	p.204 # 6, 7ad, 10, 13, 16
Tu	22	B	Solving Linear Inequalities videoNote videoLesson	previous class note	p.213 # 5bdf, 6be, 7bdf, 8, 9, 11, 15, 19
Tu	23	B	Solving Nonlinear Inequalities Algebraically videoNote videoLesson		p.225 # [1bd, 2, 3] fundamentals 5, 6bdf, 7bdf (no graph or use tech), 8, 10, 11, 15 18* [optional]
W	24	A	Rates of Change in Polynomials videoNote videoLesson		p.235 # 5cde, 6cde, 7, 9, 11
W	25	A	Graphs of Reciprocal Functions videoNote videoLesson	previous class note	p.254 # 1, 2def, 6bcd, 8bdf, 9bc, 11, # 16 (find equation of reciprocal (shown) and original function)
Th	26	B	Rational Functions & Asymptotes videoNote videoLesson	previous class note	p.262 # 1, 2, 3
Th	27	B	Graphing Rational Functions videoNote videoLesson	Sample Problem PDF VT previous class note	p.272 # 1, 3, 5bcd, 6bd, 14 worksheet (more complex problems, optional) verify your answers with Desmos
F	28	A	Solving Rational Equations videoNote videoLesson	3U Simplify Rationals Lesson VT 3U Multiply/Divide Lesson VT 3U Add/Subtract Lesson VT1 VT2 previous class note	p.286 # 5ace, 6bcf, 10, 12, 13 (see p.278 for help on 10, 13)
F	29	A	Solving Rational Inequalities videoNote videoLesson		p.295 # 1, 4acf, 5ace, 7, 9, 13

Week 1, Sept.14 to Sept.18:

In-class order, starting Monday: A-B-A-B-A

Day	Lesson #	Live Cohort	Topic / Lesson	Extra Resources	Assigned Work
M/Tu	0	A/B	Course Introduction
M/Tu	0	A/B	Health & Safety
M/Tu	0	A/B	The Flipped Classroom
M/Tu	0	A/B	Review - Factoring (MCR3U)	MCR3U: videoLesson
M/Tu	1	A/B	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
M/Tu	3	A/B	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 handout completed

W	4	A	Review: Transformations of Functions videoNote video lesson	handout	p.36 # 4, 5, 6, 7, 9, 10, 15, 16ab
W	5	A	Review: Function Inverses videoNote 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
W	6	A	Piecewise Functions videoNote video lesson	KA - Piecewise Example	p.51 # 3, 4, 5cd, 6, 8, 9, 11, 13

Th	12	B	Polynomial Functions videoNote video lesson	[VT - Pascal's Triangle & Binomial Expansion]	p.127 # 1 - 5
Th	13	B	Characteristics of Polynomials videoNote video lesson		p.136 # 5, 7, 8, 9, 12, 14, 15, 16
Th	14	B	Characteristics of Factored Form class note videoNote video lesson		p.146 # 1, 2, 4, 6, 9ab, 10, 12, 13, 14
Th	eval	B	Cumulative Evaluation

F	16	A	Dividing Polynomials class note videoNote videoLesson	KA - Polynomial Long Division KA - Synthetic Division	p.168 # 1, 4, 5ace, 6ace, 7ac, 8d, 9ac, 10ace, 11, 12, 14
F	17	A	Factoring Polynomials class note videoNote videoLesson ERROR at 15:44 in video numerator of rational roots should be: 1, 3, 5, 7, 15, 21, 35, 105	KA - Example - Remainder Theorem	p.176 # [1-3][basics], 4bf, 5ac, 6abc, 7df, 8, 9, 10, 13, 17
F	eval	A	Cumulative Evaluation

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)

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MHF4U 2020-2021 Quad1 Sept-Nov

MHF4U 2020-2021 Quad1 Sept-Nov

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