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MPM2D  20152016
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Calculus and Vectors Online Textbook
Username: vectors Password: calc12
Course Outline:
MCV Course outline Sem 2 201314.doc
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News Flashes
:
Calculus Test #1  Monday February 24th
Calculus Summative  TBD
Vectors Summative  TBD
Calculus:
Lesson
Major Concept
Handouts
1
First and Second Differences
Average Rate of Change
Turning points and inflection points
Increasing/decreasing
concave up/concave down
Activity 1  Ferris Wheel and Osprey (over 2 days).doc
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205 KB
Activity 1  Rates of Change  Follow up.doc
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67 KB
Activity 1  Graphs follow up.xls
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84 KB
Activity 1  ROC 1st 2nd predictions.doc
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120 KB
2
Limits and Continuity
Activity 2  IROC and Limits.doc
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419 KB
3
Curve Sketching
IROC and turning Points
Activity 3 Curve Sketching activity.doc
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415 KB
4
Optimization
Intro to IROC function
Activity 4  Optimization of Area and Perimeter.doc
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38 KB
5
Derivative from 1st Principles
tangents and normals
IROC at turning points
IROC at any point
Graph of f(x) vs f '(x) vs f "(x)
Activity 5  First Principles tangents iroc normal.doc
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Activity 5.4  find the mistake.doc
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51 KB
Activity 5.5  Sketch this based on graphs.doc
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38 KB
6
Review
MCV4U Calculus test no. 1 review.doc
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145 KB
MCV4U Calculus test no. 1 review answers to # 1 to 8.pdf
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457 KB
MCV4U Calculus test no. 1 review answers no. 9 to 14.doc
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164 KB
7
Test  February 24th
Lesson
Major Concept
Handouts
1
Derivative of the form ax^n
Activity 6 day 1  Polynomials.doc
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67 KB
2
Derivative of trig functions
Activity 6 day 2  Trig.doc
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171 KB
3
Derivative of exponential functions
Activity 6 day 3  Exponentials (redone).doc
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592 KB
4
The natural logarithm and its derivative
See above
5
Consolidation of Concepts
Activity 6 Day 5  Consolidation of basic derivatives.doc
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185 KB
6
Product and Quotient Rule
Activity 7 Day 1  ProdQuot.doc
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463 KB
7
Chain rule
Activity 7 day 2  Chain.doc
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184 KB
8
Using the derivative to accurately sketch curves
Activity 8  Curve Sketching.doc
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224 KB
9
Optimization
Activity 10 Time Distance Optimization.doc
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54 KB
Activity 10 Guide.doc
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70 KB
Activity 10 Optimization worksheet.doc
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80 KB
Date of Lesson
Major Concept
Video
Sept 3
Unit Vectors
Unit Vectors
Sept 4, 5
Vector operations, geometric/algebraic conversions
Vector Operations
Sept 10
Finding resultant of 3 or more vectores
Airplane Problem
Resultant
Airplane Problem
Sept 11
Dot Product both algebraically and geometrically
Dot Product
Projections
Projections
Sept 17
3D vectors
3d vectors
Sept
The angle between two vectors
Angle between vectors
Ocobert 1
Triple Scalar Product
Triple Scalar Product (Volume of Parallelpiped)
October 7
Intersection of Lines
Intersection of Lines
Types of Intersections
October 8
distance between point and line
Point and Line 3space
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Course Outline:
News Flashes:
Calculus:
Average Rate of Change
Turning points and inflection points
Increasing/decreasing
concave up/concave down
IROC and turning Points
Intro to IROC function
tangents and normals
IROC at turning points
IROC at any point
Graph of f(x) vs f '(x) vs f "(x)
Airplane Problem
Airplane Problem
Types of Intersections