MCV4U- Grade 12 Calculus and Vectors
Course Outline
Homework Outline
EXTRA PRACTICE SITE
PRACTICE EXAM
Practice Exam Solutions (scroll to bottom where it has exam review)
Another PRACTICE EXAM
and SOLUTIONS
What is Calculus?????
UNIT 1
Lesson 1: AROC vs IROC - Feb 3
VIDEO VIDEO
Feb 4 - Job Action Day
Lesson 2: Slopes of Tangents(Rationalizing Denominators) - Feb 5
VIDEO
Lesson 3 : Velocity as rate of Change of Position; Geogebra File - Feb 6
New Note - Feb 5
Graphing Rates of Change: Video 1 Video 2 Video 3
Extra Practice
Feb 7 - SNOW DAY
Lesson 4A : Limits - Feb 10
VIDEO 1 VIDEO 2 VIDEO 3
Lesson 4B - Limits - Indeterminate form - Feb 11
Lesson 4C: More Limits ; Handout; Solutions Feb 12
More Limit Practice; More Limit Practice Answers
QUIZ - Feb 12
Lesson 5 - Continuity - Feb 13
Handout Handout Solutions
VIDEO
Hwk Take-up;
Quiz Take-up
Extra practice for rate of Change graphs
Practice Test - Feb 18
Practice Test Solutions
Assignment - Feb 20
TEST- FEB 19
UNIT 2
Lesson 1: The Derivative - Feb 24
Lesson 2: Differentiation Rules - Feb 25
Video
Lesson 3: Product Rule and Power Rule - Feb 26
Lesson with Mr. B
Video 1 Video 2
Feb 27 - SNOW DAY - WORK PERIOD
Lesson 4: Quotient Rule - Feb 28
Lesson 5: Handout - Chain Rule Extra Practice - March 2
Note
Lesson 6 : Differentiability - March 2
Note A
Note B
Video
Extra Practice (Application questions) Solutions
Practice Test - March 3
Practice Test Solutions (Corrections: K/U # 5 is -13, APPs #2c $100)
Review Questions - March 3
Jeopardy Review & Assignment - March 4
March 5 - Job Action Day (Strike)
TEST - March 6
UNIT 3
Lesson 1A: Derivatives of Exponential Functions - March 9
VIDEO VIDEO(What is ln?)
Lesson 1B: Derivatives of Exponential Functions - March 10
VIDEO VIDEO 2
Lesson 2: Derivative of Natural Logarithm(note) - March 11 Handout 1 Handout 2
VIDEO VIDEO 2
Lesson 3: Derivative of Sine and Cosine Functions (Note) - March 12 Video 1(Proofs) Video 2(Graphs)
Lesson 4: Other Trig Derivatives - March 13
More Derivative Practice with answers
Practice Test
Practice Test Solutions
Review - March
March - Assignment in class
TEST - March
Lesson 1A: Derivatives of Exponential Functions - March 9
VIDEO VIDEO(What is ln?)
Lesson 1B: Derivatives of Exponential Functions - March 10
VIDEO VIDEO 2
Lesson 2: Derivative of Natural Logarithm(note) - March 11 Handout 1 Handout 2
VIDEO VIDEO 2
Lesson 3: Derivative of Sine and Cosine Functions (Note) - March 12 Video 1(Proofs) Video 2(Graphs)
Lesson 4: Other Trig Derivatives - March 13
More Derivative Practice with answers
Practice Test
Practice Test Solutions
Review - March
March - Assignment in class
TEST - March
UNIT 4
Lesson 1: Velocity, Acceleration and other Rates of Change
BEFORE TRYING THE HOMEWORK IN THE NEXT FEW LESSONS, YOU MAY WANT TO VIEW SOME OF THESE VIDEOS (Optimization and Related Rates)
Lesson 2: Absolute maximums and Minimums
Link for reading
Link for extra examples
Lesson 3A: Optimization Problems
Lesson 3B: Optimization Problems
Lesson 3C: Extra Practice
VIDEO TO EXPLAIN #19 on p. 147
VIDEO TO EXPLAIN #23 on p.147
VIDEO TO DISCUSS REVENUE/PROFIT QUESTIONS (Like p.151 #11)
VIDEO TO EXPLAIN #13 on p.257
SOLUTION TO P.565 #15 - VERY CHALLENGING!!
p151 #19 Answer for v(r)=(4/27)Aro^3
EXTRA VIDEOS FOR OPTIMIZATION: VIDEO 1 VIDEO 2 VIDEO 3
Lesson 4: Implicit derivative and Related Rates
Lesson 4B: Related Rates
OPTIMIZATION - Extra Practice with solutions
Optimization Video
Practice Test & Solutions
UNIT 5
Lesson 1: Increasing, Decreasing, Max and Mins / DEFINITIONS PAGE
ANOTHER NOTE WITH EXAMPLES
VIDEO
Lesson 2: Asymptotes Note / Video
Lesson 3: Concavity - VIDEO
Lesson 4A: Full Sketching VIDEO A VIDEO B
EXAMPLES/PRACTICE
Practice Test
Practice Test Solutions
Review Jeopardy
Assignment
Extra practice on graphing Handout
And More Practice
UNIT 6
Lesson 1: Vectors - VIDEO, VIDEO2
Lesson 2: Vectors Part 2-
Lesson 3: Properties of Vectors - VIDEO1, VIDEO2
Lesson 3B - Review for Quiz - p. 308 #1,2,3,6,11,13,14
Lesson 4A : Vectors in 3 Space - VIDEO1 VIDEO 2
Lesson 4B: Vectors in 3 Space (Finding angles) Video NOTE B
(Lesson 4 hwk: P316#5, 9, 10a, 11a, 15; P325#3, 6, 7, 9, 14, 15 P333#3, 5a, 6c, 7c, 8, 13)
Lesson 5: Forces And Velocity - VIDEO1 VIDEO2 VIDEO3
(Lesson 5 HWK: P362#5, 6, 8, 10, 11, 12; P369#4, 6, 9, 11) (VIDEO - solution to p370 #11) (VIDEO - solution tp p370 #13)
MORE PRACTICE - NEW!!
Lesson 6: Dot Product - VIDEO 1 VIDEO 2 CLASSCHAT(Has assignment details)
Lesson 7: Projections Note Video (This lesson is completely optional)
Lesson 8: Cross Product Note Video1 (TRICK) VIDEO 2 (Using formula) VIDEO3
Please note: I don't care which way you choose to do cross product....pick a way and get good at it:)
Lesson 9 : Applications of Vectors - VIDEO1 VIDEO2
Practice TEST
Practice TEST SOLUTIONS
UNIT 7
Lesson 1: Vector, Parametric - VIDEO1 VIDEO2 VIDEO3
Lesson 2: Symmetric Form - Video
HOMEWORK: p.433 #5,7,9,11; p. 443 # 4,5,9,10ac ; p.449 #4,5,6,10
Lesson 3: Equation of a Plane -
Lesson 4: Scalar Equations Of Planes -
Lesson 5: Intersection of Lines and Line and Plane in 3D - VIDEO 1 VIDEO 2 VIDEO 3
Lesson 6 & 7 : Systems of Equations; Intersection of 2 Planes - VIDEO 1
Lesson 8: Intersection of 3 Planes (Complete) - VIDEO , Video , VIDEO
Lesson 8B: Solving by Matrices - VIDEO
Lesson 9: Distances - (OPTIONAL)
Video
Sample Test Sample Test Solutions