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MCV4U - 2020-2021 Quadmester 3

Page history last edited by Steve Sweeney 1 year, 5 months ago

MCV4U - Calculus & Vectors (University Preparation)

Cohort Schedule: A-B-A-B

Week 5: (4 days) Apr.6 to Apr.9

Day	Topic / Lesson	Resources	Assigned Work
Tu	Dot Product of Algebraic Vectors	video lesson note	p.385 # 2, 4, 6bd, 7b, 9b, 10a, 11, 12, 14 + Read Example 5 on page 384
Tu	Scalar & Vector Projections Direction Angles & Direction Cosines video lesson note	Geogebra: Vector Projections	p.398 # 1, 6, 7b, 8, 11, 13, 15, 17
W	Cross Product	video lesson note	p.407 # 1, 2, 3, 4abc, 5, 7, 9a, 13 p.415 # 5b, 7
W	Applications of Dot & Cross Product	video lesson note Handout - Application Problems	p.414 # 1, 3, 5, 6, 8, 10 + handout (optional)
	Review - Applications of Vectors		p.418 # 1cd, 2f, 3, 4, 6, 7, 8b, 9, 10, 11, 14, 15, 16, 18bcd, 20c, 22, 23, 24, 25, 26, 29, 30, 31b, 32
Th	Vectors & Parametric Equations of Lines in R2	video lesson note	p.433 # 1, 2, 3, 4, 5, 6, 7, 9b, 10
Th	Cartesian Equation & Normal Vector	video lesson note	p.443 # 1, 3cd, 4, 5, 6, 7, 9b, 10acef, 11
F	Equations of Lines in R3	video lesson note p.450 #14 Video Solution p.450 #14 Text Only Solution	p.449 # 3, 6, 7, 8, 9, 12, 14
F	Vector Equations of Planes	video lesson note Geogebra demo	p.459 #1, 2, 3, 4, 6, 8a, 9, 10, 11, 12b
	Cartesian Equation of a Plane	video lesson note	p.468 # 1, 2, 3, 4b, 6, 8,10, 11, 13, 14
	Intersection of Lines in R3	video lesson note	p.497 # 8, 9, 11, 12
	Intersection of Lines & Planes	video lesson note	p.496 # 3, 4, 5, 6, 7, 13
	Intersection of Two Planes	video lesson note	p.516 # 1, 2, 3, 6, 8, 10
	Solving Systems of Equations using Matrices	video lesson note online matrix solver (check steps/answers)	p.588 # 4, 6b, 8b, 10ace p.594 # 1c, 3ace
	Intersection of Three Planes	video lesson note	p.532 #9, 10, 13
	Distances between Points, Lines, and Planes	video lesson note VT - Distance Between Point and Line in R3	p.540 # 2a, 3a, 5ac, 6b, 8 p.550 # 2a, 3a, 5, 6
	Review Lines & Planes		p.552 # 1, 3, 4, 5a, 6, 9, 10b, 11, 12ab, 13, 14, 15, 19, 20, 24, 26, 27

WARNING! Cohort Schedule Switch: B-A-B-A-B

Week 4: (5 days) Mar.22 to Mar.26

Day	Topic / Lesson	Resources	Assigned Work
	Unit 5 - Vectors
M	Introduction to Vectors videoLesson videoNote	classNote	p.279 # 4 to 7, 9, 11
M	Addition & Subtraction of Vectors video lesson videoNote	classNote	p.290 # 1 to 5, 7, 9, 11, 13, 15
Tu	Scaling & Properties of Vectors videoLesson videoNote	classNote	p.299 # 1, 5, 7, 12, 14, 15, 21* p.306 # 5, 7, 8, 10, 11
Tu	Vectors in R2 and R3 videoLesson (R2) videoLesson (R3) R2_note R3_note	classNote Visualize Vectors in R3 3D graph paper: lines dots	p. 316 # 1, 4, 5, 6, 7ab, 8, 12a, 15
W	Algebraic Vectors in R2 videoLesson videoNote	classNote	p.325 # 3, 4, 5b, 6ac, 7c, 8c, 10, 11, 12, 13a
W	Algebraic Vectors in R3 videoLesson videoNote	classNote	p.332 # 1, 2, 3, 4, 5ac, 6bd,, 8, 10, 11, 12, 14, 15
Th	Linear Combinations & Spanning Sets video lesson videoNote classNote		p.340 # 6, 7b, 8, 10, 11, 13, 14
	Review - Vectors		p.344 - 347 # 1, 2a, 3, 5, 6a, 7, 8, 11, 12b, 15ab, 16c(also find direction), 19a, 21, 23
	Unit 6 - Applications of Vectors
Th	Vectors as Forces videoLesson videoNote	video lesson - exercises longer video of examples some mistakes made (& caught) in video	p.362 # 3, 5, 6, 8, 10, 11, 12, 16, 17
F	Velocity Vectors videoLesson videoNote		p.369 # 3, 4, 6, 7, 9, 10, 11, 14
F	Dot Product of Geometric Vectors videoLesson videoNote		p.377 #2, 5, 6abe, 7acd, 9, 11, 12

Week 3: Mar.8 to Mar.12

Day	Topic / Lesson	Resources	Assigned Work
M	Oblique Asymptotes note video lesson		p.193 # 3d, 4d, 5d, 6c, 7, 9d, 10, 14
M	Concavity & Points of Inflection note video lesson	video lesson video tutorial - supplemental Geogebra Interactive # 1: Concavity Geogebra Interactive # 2: 1st & 2nd Derivative Meaning	p.205 # 2, 3, 5, 10, 11, 12
Tu	Algorithm for Curve Sketching note	WS - Determining Graphs from Equations recommended questions: Part A # 1-6, Part B # 1, 2, 3, 6 Example: Graph with Cusp
	Review - Curve Sketching	p. 216 # 1, 2, 3, 4, 5, 8, 10, 19, 20
	Unit 4 - Exponential, Logarithmic and Trigonometric Functions
Tu	Derivatives of Natural Exponential Function video lesson videoNote	video lesson note	p. 232 # 1, 2aef, 3, 4bc, 5a, 7, 8, 12, 13
W	Derivatives of General Exponential Functions video lesson videoNote	video lesson note	p.240 # 1, 2, 4, 5, 6, 9
W	Derivatives of Logarithmic Functions video lesson videoNote	video lesson note	p.575 # 3 to 13 (Omit 5c, 9bc, 12) p.578 # 1 to 5, 7, 9, 11
Th	Optimization of Exponential Functions videoLesson videoNote		Read examples 1 & 2, p.241-244 p. 245 # 3, 4, 5, 6, 8, 12bc
F	Derivatives of Sine and Cosine video lesson videoNote	video lesson note Geogebra Applet - Derivative of Sine	p.256 #1, 2, 3, 5, 7, 9, 11, 12
F	Derivatives of Tangent video lesson videoNote	video lesson note	p.259 # 1-8, 10, 11
	Review		p.263 # 1-9, 11-16, 23

Week 2: Feb.22 to Feb.26

Day	Topic / Lesson	Resources	Assigned Work
M	Combining Rules for Derivatives	Worksheet (see video for 2 solutions) [VT - SS - Combination of Rules]	complete Worksheet
	Unit 2 - Applications of Derivatives
M	Higher-Order Derivatives note videoLesson		review "Need to Know" on p.126 p.127 #4, 5, 6ac, 8, 9, 10, 11, 12, 13b, 16
Tu	Extreme Values note video lesson		p.117 # 7, 8 (interval notation, optional) p.136 # 2ab, 3d, 4ab, 6, 7, 8, 9
Tu	Optimization note video lesson		p.145 # 1, 3-12
W	Optimization of Distance note video lesson	video: more examples	p.147 # 15, 16, 20 Handout # 1-5, 8, 9
W	Optimization of Time note video lesson		WS # 11-15
Th	Optimization of Economics & Science note video lesson (jump to Ex1 Ex2 Ex3)		p.152 # 5, 6, 8, 10, 12, 15, 17*
Th	Intervals of Increase & Decrease note video lesson		p.169 # 1ab, 3, 4abcd (algebraically), 8, 9, 10, 11
	Review - Applications & Optimization		p.156-159 #3, 5, 6, 7ab, 8, 9, 14, 15, 17, 19 to 24, 26d
	Unit 3 - Curve Sketching
F	Critical Points & First Derivatives note video lesson		p.178 # 3, 4ab, 5bcd, 7cdef
F	Vertical & Horizontal Asymptotes note video lesson		p.193 # (3, 4, 5)(ignore d) p.193 # 6, 9abc, 11, 12, 13, 15*

Week 1: Feb.8 to Feb.12

Day	Topic / Lesson	Resources	Assigned Work
	Unit 1 - Limits & Derivatives
M	Rationalizing note video lesson		p.9 # 1, 2 (basics) p.9 # 3bdf, 4, 6ef, 7
M	Slope of a Tangent Line note video lesson		p.19 # 4, 5 (basics) p.20 # 8c, 9ac, 10b, 11ef, 16, 20, 25*
Tu	Rates of Change note video lesson	[VT - Pascal's Triangle & Binomial Expansion]	p.30 # 7, 9 (use Ex.1 as template) (basics) p.30 # 10, 11, 12, 13, 21*
Tu	Defining Limits note video lesson	handout: Defining the Limit	p.38 # 5, 6, 7, 10def, 11bc, 12a
W	Properties of Limits note video lesson	[VT - KA - Properties of Limits] [VT - KA - Example - Taking a Limit] [VT - KA - Example - Cubic Limit & Factoring]	p.45 # 4, 7bce, 8cef, 9, 10ad
W	Continuity of Functions note video lesson	[VT Series - KA - Continuity]	p.52 # 4ace, 5bcdf, 7, 8, 12, 14, 15
Th	Power Rule note video lesson	[VT - SS - Power Rule]	summarize table on p.81 into your notes read proofs on p.76, p.77 p.82 # 2, 3def, 4cef, 8ab, 9bf, 14, 15, 16
Th	Product Rule note video lesson		p. 90 #1abcde, 5abc, 6, 7, 9, 12
F	Quotient Rule note video lesson		p. 97 # 4, 5cd, 6, 7, 8, 9, 13, 17*
F	Chain Rule videoNote video lesson	[VT - SS - Chain Rule]	p.105 # 4, 5, 15,16 p.90 # 2, 8
	Review		p.56 # 2ab (use 1st principles), 9, 10,11, 17,18abf p.110 # 3, 4, 8, 10a, 11a, 16, 17, 19, 21, 24

Cohort Schedule: A-B-A-B

Week 5: (4 days) Apr.6 to Apr.9

Day	Topic / Lesson	Resources	Assigned Work
Tu	Dot Product of Algebraic Vectors	video lesson note	p.385 # 2, 4, 6bd, 7b, 9b, 10a, 11, 12, 14 + Read Example 5 on page 384
Tu	Scalar & Vector Projections Direction Angles & Direction Cosines	video lesson note	p.398 # 1, 6, 7b, 8, 11, 13, 15, 17
W	Cross Product	video lesson note	p.407 # 1, 2, 3, 4abc, 5, 7, 9a, 13 p.415 # 5b, 7
W	Applications of Dot & Cross Product	video lesson note Handout - Application Problems	p.414 # 1, 3, 5, 6, 8, 10 + handout (optional)
	Review - Applications of Vectors		p.418 # 1cd, 2f, 3, 4, 6, 7, 8b, 9, 10, 11, 14, 15, 16, 18bcd, 20c, 22, 23, 24, 25, 26, 29, 30, 31b, 32
Th	Vectors & Parametric Equations of Lines in R2	video lesson note	p.433 # 1, 2, 3, 4, 5, 6, 7, 9b, 10
Th	Cartesian Equation & Normal Vector	video lesson note	p.443 # 1, 3cd, 4, 5, 6, 7, 9b, 10acef, 11
F	Equations of Lines in R3	video lesson note p.450 #14 Video Solution p.450 #14 Text Only Solution	p.449 # 3, 6, 7, 8, 9, 12, 14
F	Vector Equations of Planes	video lesson note Geogebra demo	p.459 #1, 2, 3, 4, 6, 8a, 9, 10, 11, 12b
	Cartesian Equation of a Plane	video lesson note	p.468 # 1, 2, 3, 4b, 6, 8,10, 11, 13, 14
	Intersection of Lines in R3	video lesson note	p.497 # 8, 9, 11, 12
	Intersection of Lines & Planes	video lesson note	p.496 # 3, 4, 5, 6, 7, 13
	Intersection of Two Planes	video lesson note	p.516 # 1, 2, 3, 6, 8, 10
	Solving Systems of Equations using Matrices	video lesson note online matrix solver (check steps/answers)	p.588 # 4, 6b, 8b, 10ace p.594 # 1c, 3ace
	Intersection of Three Planes	video lesson note	p.532 #9, 10, 13
	Distances between Points, Lines, and Planes	video lesson note VT - Distance Between Point and Line in R3	p.540 # 2a, 3a, 5ac, 6b, 8 p.550 # 2a, 3a, 5, 6
	Review Lines & Planes		p.552 # 1, 3, 4, 5a, 6, 9, 10b, 11, 12ab, 13, 14, 15, 19, 20, 24, 26, 27

note

Intervals of Increase & Decrease

video lesson

p.169 # 1ab, 3, 4abcd (algebraically), 8, 9, 10, 11

p.433 # 1, 2, 3, 4, 5, 6, 7, 9b, 10

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MCV4U - 2020-2021 Quadmester 3

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