Welcome to Mr. Childs Grade 12 Calculus - Calendar of Events

Sunday

Monday

Tuesday

Wednesday

Thursday

Friday

Saturday

30

Sec. 6.1 Intro to Vectors

 

p.279

# 1, 4, 6ace, 8, 9

 

Class Notes - Intro Vectors

31

Sec. 6.2 Add_Sub Vectors

 

Read examples 3 and 4 on pg 287-9

 

Questions:

p290

#2, 4, 7, 9,11,12

 

Class Notes - Adding Vectors

Feb 1

Sec. 6.3 Multiplying Vectors

 

Read Ex 3 p 296

 

Questions:

p298 #1, 2ac, 3, 5, 7a, 14, 15

 

Class Notes - Multiplying Vectors

 

2

Sec. 6.4 Vector Properties

p306 #6ab, 7, 8, 9

 

Class Notes - Vector Properties

 

Sec. 6.5

Vectors in R2 R3

p316 #1, 3, 5, 9, 13, 15

 

Class Notes - R2 and R3

 

 

3

Quiz

 

Reading Assignment

 

 

4

5

6

Sec. 6.6/6.7

 

Class Notes - Operations in R2 and R3

 

page 324-5 #1, 4, 7, 10

 

page 332-3 # 1, 2, 4, 5, 6,

13-(google it)

 

ISO grid paper download

 

7

Sec. 6.8

 

Class Notes - spanning sets

 

read example 2, 3, and 5

page 341 #10,11

 

Review/Consolidate

page 344-47

#1-9,11,14-17,20,21,23

 

Major Task

 

8

Sec. 7.1 - Force Vectors

 

Class Notes - Sec 7.1-2

 

p362 #2, 5a, 7, 10, 11, 12 ,16

 

Read Example 3 - page 367

page 368 - #3, 4,5

 

 

 

 

9

Sec. 7.3 The DOT Product

 

Class Notes - The Dot Product Pt1

 

page 377-78 #1, 2, 3, 4, 6, 7, 9, 12a, 15

 

 

 

 

 

 

10

Sec. 7.4 The Dot Product Con't

 

Class Notes - The Dot Product Pt2

 

page 385-6 # 2, 3, 4, 6, 7, 9b, 12

 

Major Task Due

 

11

12

13

Sec. 7.5 Projections

 

Class Notes - Projections

 

p398 # 1, 3, 6, 7ac, 11, 13

 

 

14

Mid Chapter Review

page 388-89

#1-8, 10, 12, 16

 

Quiz

 

Task Chapter 7

 

15

Sec. 7.6 Cross Product

 

Class Notes - Cross Product

 

page 407-9 #1, 4, 5, 9

 

16

Sec.7.7 Applications of Dot and Cross Product

 

Class Notes - Applications

 

Read example 2 page 411

 

page 414-15 #1 - 5,7, 8 Challenge 10

 

17

Review

 

page 417 - 421

#1-11, 13-15, 17, 18, 20-30 (selection)

 

18

19

20 Family Day

 

21

Review

 

Task Chap 7 Due

22

Chapter 7 Test

23

Sec. 8.1 - Vector Equations in R2

Class Notes - Sec8.1 equations

 

page 433 - 34 #1, 2, 3, 4, 5, 8, 9

 

24

Sec. 8.2 - Cartesian Equations

 

Class Notes - Sec8.2 Cartesian

 

Read Example 6 on page 441

 

Page 443 - 43 #1, 2, 3, 5, 6, 7, 8, 10ab

25

26

27

Sec. 8.3 - Vector Equations R3

 

Class Notes - Sec8.3 - equations in R3

 

page 449 - 450 #1, 2, 3, 5ab, 6,10

 

 

Task - Vectors

28

Sec. 8.4 - Equations of Planes

 

Class Notes - Sec8.4 - Equations of Planes

 

page 459-460   #1-5, 9, 10

 

Sec. 8.5

 

Class Notes - Sec8.5 - Cartesian Planes

 

Page 468 - 69 #1, 2, 3, 4, 5, 6, 7, 12, 13

 

March 1

Mid Chapter

Review

 

page 451-2 #1-7, 10,,11,13,14,16

 

 

 

 

Quiz

2

Consolidate / Review

 

page 479-483

 

3 PA Day

4

5

6

Sec. 9.1 - Intersection of Lines and Planes

 

Class Notes - Sec9.1 - Intersection of lines and planes

 

page 496-498 #7, 8, 9

 

7

Chapter 8 Test

8

Sec. 9.2 - Solving Systems

 

Class Notes - Sec9.2 Solving Systems

 

page 507-509 #3, 5, 9, 12, 14

 

 

 

9

Sec. 9.3 - Intersection of 2 planes

 

Class Notes - Sec9.3 Intersection of 2 Planes

 

page 516-517 #5, 6, 7, 9, 10

 

10

Sec. 9.4 - Intersection of 3 planes

 

Class Notes - Sec9.4 - Intersection of 3 Planes

 

page 530 - 33 #5, 6, 8-11, 12, 13 (selection)

11

 

12

13

14

 

 

 

 

15

16

17

18

19

20

Sec. 9.5

 

Class Notes - Sec9.5 - dis. line point

 

page 540-41 #1, 2, 3, 4a, 6, 8

 

21

Sec. 9.6

 

Class Notes - Sec9.6 - dis. plane point

 

page 549-551 #1, 2, 3a, 4

 

 

Chapter 9 - Major Task

 

22 Consolidate Vectors

 

 

Warm Up and Review

 

page 2 - 3 #1, 2, 3, 4, 6, 7, 8, 9, 10, 12 (selection)

Read page 5

 

Class Notes Day1

23

Sec. 1.1 - Rationalizing Denominators

 

Notes Sec 1.1

 

page 9 #1-7 (selection)

 

 

24

Sec. 1.2 - Slope of the Tangent

 

Notes Sec 1.2

 

page 18-19 #1, 2, 3, 4, 8, 11 (selection)

 

 

Quiz - Rationalizing

 

Major Task Due

 

 

25

26

27

Mini Test Chapter 9 (3 questions, intersection of lines, intersection of a line and a plane, intersection of two planes)

 

28

Sec. 1.3 - Rates of Change

 

Notes Sec 1.3

 

page 29-30 # 1, 2, 4, 7, 8, 13, challenge 17

 

29

Sec. 1.4 - Limits of a Function

 

Notes Sec 1.4

 

page 37-38 # 3, 4, 6, 7, 8, 10 (selection)

 

Task - IRC

 

30

Literacy Test - AM

31

Sec. 1.5 - Properties of Limits

 

Notes Sec 1.5

 

page 45-46 # 3, 4, 7, 9 - challenge 8

 

Quiz – IRC

 

Sec. 1.6 – Continuity

 

Notes Sec 1.6

 

page 51-52 # 2, 4, 5, 8, 14

 

 

April 1

2

 

3

Waterloo Presentation

 

4

Review

 

page 55 (read)

56-58 #1, 2, 4, 5, 7,  9, 10, 17, 18, 19

 

5

Test #1

 

6

Sec. 2.1 – 2.2 - The Derivative Function and Shortcuts

 

Class Notes - Derivative Proofs

 

page 82 - 83 #2, 3, 4, 5, 7, 8, 9

 

7

Sec. 2.3 – Product Rule

 

Class Notes - Product Rule Proof

 

page 90 - 91 # 1, 2, 5, 6, 7

 

8

9

10

Mid Chapter Review

 

page 92 - 93 # 6, 7, 8, 9, 12, 17 challenge 15

 

 

Task - Derivative Connections

 

11

Sec. 2.4 - The Quotient Rule

 

Class Notes - Quotient Rule

 

page 97-98 # 4, 5, 6, 10 challenge 15

 

12

Sec. 2.5 - The Chain Rule

 

Class Notes - Chain Rule

 

ChainRule_proof (off of internet)

 

page 105 - 106 # 2b, 4, 8, 9, 13, 15

 

13

Chain Rule con’t

 

 

 

 

 

Quiz - Derivative

14

Good Friday

15

16

17

Easter Monday

18

Review / Consolidation

 

page 109 - summary of key concepts

 

page 110 - 113 # 3, 4, 5, 8, 10, 11, 17, 18, 21, 22, 28, 30

 

19

Sec. 3.1 - Higher Order Derivatives

 

Class Notes-SVA

 

page 127 - 28 #2, 3, 4, 5, 8, 10, 11

 

 

 

 

 

 

20**

Test #2

 

21

Sec. 3.2 - Extreme Values

 

Class Notes - Extreme Values

 

page 135 - 36 # 2, 3, 5, 6, 7

 

22

 

23

24

Sec. 3.3 - Optimization

 

Class Notes - Optimization

 

page 145 - 147

# 3-9, 11, 15, 16

challenge-10, 12, 13

25

Quiz – SVA

 

 

Mid Chapter Review page 139 #1 - 11

26

Ice Day

27

Ice Day

 

 

 

 

28

Sec. 3.4 - Optimization Problems in Economics and Science

 

Class Notes – Optimization2

 

page 151 - 153 # 4, 5, 6, 7, 8, 12, 13, 14

29

30

May 1

Implicit Differentiation

 

Class Notes - Implicit Diff

 

page 564 #2, 3, 4, 5, 6, 8, 9, 1

 

 

2

Con’t Implicit Differentiation

 

Quiz - Optimization

3

Related Rates

 

Class Notes - Related Rates

 

page 569 #2, 3, 4, 5, 6, 7, 8, 10

 

4

Related Rates Con't

 

Review

 

Page 147 - #16 – Style = compass directions – distance between two points

 

Page 152 - #5 – Style = perimeter/area and Cost

 

Page 152 - #7 – Style – incremental change

 

Page 153 - #12 – Style – surface area and cost

 

Page 158 - #21 – Style – split distance (land and water)

 

Page 569 - #8 – Style – Pythagorean – ladder question

 

Page 570 - #12 – Style – Surface area and Volume – Sphere

 

Page 570 - #16 – Style – Volume of a Cone – similar triangles

 

 

 

5

Quiz - Implicit and RR

 

 

Take up questions

6

7

 

Calculus Word Problem Videos

8

Review

 

Optimization

Page – 156 – 160

 

Implicit Diff.

Page 564

 

Related Rates

Page 569-570

 

9

Review

10

Test - Chapter 3 and Implicit Diff

11

Sec. 4.1/4.2 Critical Points and The First Derivative Test

 

Class Notes - Critical Points

 

page 178-180 # 1, 2, 3, 4, 7, 14

12

Sec. 4.3 - Asymptotes

 

 

Class Notes - Asymptotes

 

page 193-195 # 3, 5, 7, 9

13

14

15

Sec. 4.4 - Concavity and the Second Derivative Test

 

Class Notes - Concavity

 

page 205-207 #1, 2, 5, 8, 9

 

16

Sec. 4.5 - Curve Sketching

 

 

Class Notes - Curve Sketching

 

page 212-214 #3, 4, 7, 9, 10a, 11

 

Quiz – CP

17

Curve Sketching Con't

 

Task - Curve Sketching

18

Review

 

19

Test

 

20

21

22

23

Sec. 5.1 - Exponential Functions- “e”

 

Class Notes - Exponential

 

page 232-33 #2, 3, 4, 7, 12, 13

24

Logarithmic and Natural Log Functions

 

Class Notes - Logs and Lns

 

page575 #3,4,6,11

 

page 578 #1,2,4,5

25

Sec. 5.2 – Exponential Functions – base “a”

 

Class Notes

page 240 #1, 2, 3, 4, 6

 

26

Consolidate Derivatives of Exponentials and Logarithms

 

 

Quiz - Logarithms

27

28

Culminating Activity

 

Task

 

Calendar

29

Sec. 5.3 Optimization and Graphing

 

Class Notes - Optimization and Graphing - e

 

page 245-6 #3, 5, 6, 8, 12

30

Sec. 5.3 con't

 

31

Task - Graphing2

 

Mid chapter review

 

page 248 #1 - 6, 9, 11

 

June 1

Sec. 5.4 - Derivatives of Sin, Cos, and Tan

 

Class Notes - Sine, Cosine, Tan Diff

 

page 256 - 57 #1, 2, 3, 5, 7

 

page 260 #1,2, 3, 4, 5, 7

 

2

Sec. 5.4 con’t

 

3

4

 

5

Consolidate

Review

 

 

6

Review

7

Test

8

Grad Rehearsal

9

Integration

10

11

12

Exam Review - Vectors

13

Exam Review - Vectors

14

Exam Review - Calculus 1-3

 

15

Exam Review - Calculus 4-5

 

16

 

17

18

19

Calculus Exam 25%

 

Review Due 5%

20

 

21

 

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