Calculus 12

February 2010

1

 

2 (day 1)

 

Mini Day - Semester 2

Text books handed out

Early dismissal

 

3 (Day 2)

Notes:Introduction to some terms

Practice: pp8/9 # 44-47; pp18/19 # 45-48, 59,62,63

pp25/26 # 36,38,40,41,42

Answers

4 (day 3)

Notes: Parametric Equations Introduced

Practice: Bike Race; Answers

5 (day 4)

Notes:Paramatric Equations continued

Practice: pp30/31 # 1-4,7,8,12-15,27,28; Worksheet, Answers

8 (day 5)

Group Work The Ranger and the Skier

 

 

9 (day 6)

Group Work: Rates of Change; Additional Questions to answer

 

 

10(day 7)    

flash videos: What is a Limit? When Does a Limit Exist?

Notes: Introduction to Limits

Practice: pp62/63 # 1-9, 31,32

 

11 (day 8)

flash video: How do you evaluate Limits?

Notes: Limits from an algebraic perspective

Practice: p63 # 21-25, Worksheet - algebraic approach to limits 1abcdef

 

Answer Key to worksheet

12 (day 1)

flash video: Limits and Infinity

Notes: Limits at Infinity

Practice: pp71-72 # 1-12,23-32,47,48; Answers

Worksheet - algebraic approach to limits;

Answer Key to worksheet

15 (day 2)

flash videos: Continuity.  Intermediate Value Theorem

Notes: Continuity and the Intermediate Value Theorem

Practice: pages 80-81 #1-9 (odds), 10-16, 20-26(evens),39-41

16 (day 3)

flash videos: The difference Quotient; Power Rule

Notes: The Definition of the Derivative

Practice: pages 87-89 #1,2,3,10abc, 11abc,14,29

17 (day4)

Storm Day

 

18 (day 5)

Notes: Derivative Notations and  Sketching Derivatives

Link (have a look at this page and try the exercises)

Practice:Practice:pp92-93  # 39-42; p120 # 1-10 (odds); pp101-103 # 1,7-18

A link; another link

19 (day 6)

Quiz Outline

Quiz Outline Answers

Early dismissal

22 (Day 7)

QUIZ

 

23 (day 8)

Notes: Differentiability and Smooth Connectivity;

 

24 (day 1)

Group Work - Building a Railroad

Practice: p111 # 1-10;

25 (day 2)

Notes: Applications

Practice: pp 120-121 # 27, 28, 29, 38, 39 ,p129/130 # 3,5,13,16

26 (day 3)

Test Outline and Review

Solutions

Project Outline; Marking Rubric

March 2010

1 (Day 4)

Applications Worksheet

2 (Day 5)

TEST

3 (day 6)

Notes:Interpreting the Derivative

Practice: Worksheet

Worksheet Answers

4 (day 7)

flash animations - The chain rule

Notes: The Chain Rule

Practice: pp146-148 # 9,15,33,34,45,46

5 (day 8)

flash animations - The product rule; The Quotient rule

Notes:The Product Rule and the Quotient Rule

Practice: p 120 # 11-19

8 (day 1)

Notes:Implicit Differentiation

Practice: pp155/6 # 1-14,27a,28b,29a,30b, 31a,32b,37a

 

9 (day 2)

Orientation Day - no school for grade 12s

10 (day 3)

Quiz Review

Solutions

11 (day 4)

QUIZ

12 (day 5)

Notes: The impact of the first and second deriviatives on graphs;

Practice: p204 # 15, 16, 22

Early dismissal

15 - 19

March Break

22 (day 6)

Notes:Sketching using the first and second derivatives

Practice: p 204 # 26,28,29

23 (day 7)

Notes: Introduction to Related Rates

Practice: pp237/238 # 8,9,10,11, 14,16

24 (day 8)

Introduction to Proofs

Notes: More Related Rates

Practice: pp238/239 # 13ab,17,20,24

25 (day 1)

Day 2 Proofs

Puzzle to be passed in Monday, March 29th Related Rates Turvey

26 (Day 2)

Day 3 Proofs

29 (day 3)

Day 4 Proofs

Simplifying expressions

Practice: p120/1 # 23,24,27, 29, 31

30 (day 4)

Notes:Motion Applications

Practice: pp131-133 # 18b,23,24,25,28,29

 

31 (day 5)

Test Review

Solutions;

Proof solutions

 

 

 

April 2010

   

 

1 (day 6)

TEST

2

Good Friday

5

Easter Monday

6

Inservice - no school fro students

7 (day 7)

Group work - Applying the derivative

8 (day 8)

Notes:Trigonometric Differentiation

Practice: p140 #1-11, 19,26, P147 # 1-31 odd

 

9 (day 1)

Notes:Related Rates and Trigonometry

Practice: pp238-240 # 13,15, 17, 18, 20, 21, 24, 28-32,34,35

12 (day 2)

Quiz Review; Related Rates Problems and Summary

Solutions for Quiz Review ; Solutions for Summary

 

13 (day 3)

Quiz

14 (day 4)

Notes:Differentiation of Exponential and Logarithmic Functions

Practice: p170 # 1-17 (odds);21-39 (odds); 47

15 (day 5)

Notes: Applications

Practice:pp173-175 # 61, 71-73, 78; and Worksheet; Answers for worksheet

16 (Day 6)

Notes:Logarithmic Differentiation

Practice: p170 # 19, 20, 43, 44, 45, 46; p 172 # 13-16, 21

 

19 (day 7)

Group Work: Derivative Turvey

20 (day 8)

Notes: Critical and Inflection Points

Practice: pp 184/185 #19,23,30,37,39,45-48

Worksheet; answers

21 (day 1)

Notes: Optimization

Practice: Pages 214/5 #7,9,11a,12

 

 

22 (day 2)

Notes:Optimization Continued

Practice: pp215/6 #13,16,17,18,20

23

Inservice and Parent- Teacher : no school for students.

26( day 3)

Workday - worksheet

More Optimization practice; Answers

27 (day 4)

Test Outline and Review

Solutions

 

28 (day 5)

TEST

 

29 (day 6)

Notes:Differentials

pp230-231 # 39-43, 45ab (only the side of the tank)

 

30 (day 7)

Notes: Linearlization

p229 # 1-5 (a parts only), 7, 8abc, 9

May 2010

3 (day 8)

Practice: Linearlization and Differentials applied

 

 

4 (day 1)

Notes: Introduction to Integration

Practice: pp254/255 # 9,10, 11,13a; p257 # 24,25

 

5 (day 2)

Notes: Riemann Sums and Properties of Integrals

Practice: p267 # 7-27 (odds); p 275 # 2-6

6 (day 3)

Group work - Understanding integrals

 

7 (day 4)

Notes: Interpreting Integrals

Practice; Worksheet  plus p256 # 16a, 19,20

10 (day 5)

Quiz Review

Solutions

 

11 (day 6)

QUIZ

 

 

12 (day 7)

Notes:Fundamental Theorem of Calculus (introduction)

Practice:p275 # 21-24; p298 # 15-25

13 (day 8)

Notes:Fundamental Theorem of Calculus continued

Worksheet

Practice: p275 # 17-20; p 286 # 25-28

14 (day 1)

Notes: Fundamental Theorem of Calculus and Velocity Curves

Practice: Worksheet; Answers

17 (day 2)

Notes: Applying the Fundamental Theorem of calculus

Worksheet; Answers

Practice:plus pp 286-287 #  1-12,52 (use calculator), 54

18 (day 3)

Group work

 

 

 

19 (day 4)

Quiz Outline

Answers

 

20 ( day 5)

QUIZ

21 (day 6)

Project Work Day

Early dismissal

24

Victoria Day Monday - No school

25 (day 7)

Notes:Fundamental Theorem of Calculus (Part 2);

Practice: p 287 # 37-42

 

26  (day 8)

Notes: Applying the Fundamental Theorem Further

For Friday: Try: Exam Questions 2009 (Try questions 1,2 and 3)

Answers

27 (day 1)

Assemby - Student Loan Information

Notes:Mean Value Theorem

Practice: pp276 # 40,41; p 288 # 59; pp 299 # 38, 44,45

28  (day 2)

Group Work : Exam Questions 2010 (Try questions 1and 3)

31 (day 3)

Notes:Differential Equations

Practice: pp 312-314 # 27, 29, 33, 26, 53-55

 

       

June 2010

 

1(day 4)

Group work: Differential Equations

2 (day 5)

Test Review

 

Solutions

 

3 (day 6)

FINAL TEST

 

4 (day 7)

Notes: Solving separable differential equations

Practice: p 322 # 39, 41, 42, 43;

 

7 (day 8)

Notes:Slope fields Introduced; p1; p2; p3; p4

Practice:pp 312/313 # 43,44 p 359 #38 ; Worksheet ; Answers

 

8 (day 1)

Group Work - slope fields

matching slope fields

9 (day 2)

Notes:Integration by Substitution

Practice: pp321/322 # 6-25,27,28, 31-38

 

10 (day 3)

Notes: Areas between curves

Practice: pp381/382 #1-10, 13,14,33-35

 

11 (day 4)

Notes: Disks and Washers

Practice: pp392/3 # 13-20, 29,30,34,35,49

Volumes of Rotational solids explained

14 (day 5)

Examination Review

Applications for Review

Answers

Cue Card

15 (day 6)

Exam Review

16 (day 7)

Exam Review

17 (day 8)

Exams Begin

18 (day 1)

EXAMINATION

21 (day 2)

22 (day 3)

23 (day 4)

24

25

28

Graduation

29

Grades 9,10,11 closings