AP Calculus
Week 3536
Date

Lesson

Objectives

Homework

Monday 5/13/13
1B

Calculus FoodEvent topic
due.
8.2
Integration by Parts

Demonstrate
and practice integration by parts including double application.

Read p. 525529
examples and box on p. 530.
Hand in Wed. page 531 # 11, 1527
odd, 30, 31,33 ,35. I will grade #11,27 and 30 and spot check the rest.
Remember that this is for YOU!!!

Tuesday 5/14/13
2C

7.4
Arc Length/Surface Area

Demonstrate
and practice the formulas for arc length of a rectifiable curve and for
surface area of a solid of revolution.

Read/do examples 4,5,7
of Section 7.4. Hand in Friday #10,40. Remember that this is for YOU!!!
BRING TEXT TO CLASS for a
homework grade.

Wednesday 5/15/13
1D
AP History, Euro
Met Trip

8.2 handin due.
Textbook check for a
homework grade.
8.8
Improper Integrals

Define
and demonstrate all forms of improper integrals.

Read your notes. Hand in Tuesday P.
585 #18, 27, then 8. DO IN THAT ORDER. They are in increasing order of
“sophistication.”

Thursday 5/16/13
1E
Great Adventure

7.5, 8.6
Work; use of integration
tables revisited.

Derive
the formula for work when force is variable. Review the use of integral
tables.

Carefully read p.
487492. Handin
Wednesday
p. 493 #9,10,23.

Friday 5/17/13
Special

7.4 handin due.
Catchup
Day

Complete
all objectives for the week.

Catchup





Monday 5/20/13
1F

CalculusFood Event

Student
presentations to illustrate calculus concepts.

Catchup

Tuesday 5/21/13
2A

8.8 handin due.
CalculusFood Event

Student
presentations to illustrate calculus concepts.

Catchup

Wednesday 5/22/13
1B
AP English Language

7.5 handin due.
Textbook collection
Film: The Proof
(Andew Wiles work on Fermat’s
Last Theorem)

Inspire graduating students with the true
story of contemporary mathematician Andrew Wiles.

None

Thursday
5/23/13
1C

(cont.)

(cont.)

None

Friday 5/24/13
SPECIAL D
Period 3,4 Exams
AP English Lit

No
exam. Underclassmen report to Room 302 as usual.
8.3
Trig Integrals

Work
all examples in 8.3 pages 53439.

Read
p. 534539 working all examples.

No
school Monday: Memorial Day
Final
Exam scheduled for Wednesday, June 5 for Period 4, 9:30. Nonseniors report to
Room 302 for a final test for Quarter 4. Topics to be announced which will include a selection of
problems related to the work assigned above.
******************************************** AP Calculus
Week 3334
Date

Lesson

Objectives

Homework

Monday 4/29/13
1F

Give students all remaining exam materials.
Multiple choice practice.

Provide students
with more practice on the subtleties of answering multiple choice questions.

Look at materials given and determine your picks for more
free response work. Work on multiple choice materials as your time allows.

Tuesday 4/30/13
Special A

Obtain a list of student preferences for free response
review.
Multiple choice practice.

Provide students
with more practice on the subtleties of answering multiple choice questions.

Work on multiple choice materials as your time allows. Be
prepared with questions from the multiple choice problems of the recent released
exam.

Wednesday 5/1/13
12:30 dismissal B

Released AP exam

Answer questions on the released AP exam and other
multiple choice questions.

Work on multiple choice materials as your time allows.
Questions from any multiple choice materials.

Thursday 5/2/13
1C
Extra help 3p.m.

Multiple choice questions.

Answer questions on the released AP exam and other
multiple choice questions.

Study for AP Exam Facts Test

Friday 5/3/13
May Crowning Liturgy 3D
Senior Prom

No class.







Monday 5/6/13
5E
Extra help 3p.m.

AP Exam Facts Test
Last minute reminders/suggestions.
Comments on student request free response questions.

Help students determine their knowledge weak spots for
the AP exam.
Answer as many questions as possible.

Do what you need to
do for the AP exam.

Tuesday 5/7/13
2F
Extra help 3p.m.

Return/comment on AP Facts test.
Miscellaneous questions.

Answer as many questions as possible.

Study but DO NOT stress. You ARE prepared.

Wednesday 5/8/13
1A

AP EXAM


NONE. You deserve a
math break!!!!!

Ascension Thursday
5/9/13
No School




Friday 5/10/13
No School




CalculusFood Event: May 2021. Details to follow ************************************************************************ AP Calculus
Week 32


Date


Lesson


Objectives


Homework



Monday 4/22/13
1A


2010,2012 Problems
(cont.)
Comments on Chapter
4,5,6 of Fast Track continued.


Complete any remaining
2010, 2012 Free Response presentations. Point out significant ideas and
subtleties in Fast Track.


Continue to prepare for
the AP exam. Prepare questions for tomorrow’s class. Continue working on the
remaining required chapters of Fast
Track: 4,5,6.



Tuesday 4/23/13
2B


Student questions from
AP bulletin materials and Fast Track.
Comments on Chapter 4,5,6 of Fast Track
continued as needed. Give students complete released exam.


Answer student
questions on assorted materials related to the AP exam. Point out significant
ideas and subtleties.


Work on 2011 Free
response questions.



Wednesday 4/24/13
5C
Extra help 3p.m.


2011 Exam Questions


Discuss 2011 questions
as a class looking for significant ideas and pitfalls.


Complete 2011 Free
response questions. Work on integration review assignment due Friday.



Thursday 4/25/13
1D


Complete 2011 questions.
Catchup.


Discuss 2011 questions
as a class looking for significant ideas and pitfalls. Answer student
questions.


Study for test.
Assignment due. Continue your personal review for the AP exam.



Friday 4/26/13
1 E


Test 8.1 Integration
Review
Integration Review
assignment due.


Determine students’
ability to do all required integration problems for the AP exam.


Continue your personal
review for the AP exam. Work on the full released exam.



**************************************************************** AP Calculus
Weeks 3031
Week 30


Date


Lesson


Objectives


Homework



Monday 4/8/13
1C


Virtual lessons due.
Assign
student presentations of AP problems
Comments
on Chapter 2,3 of Fast Track.


Discuss the nature of student
presentations of AP problems and source materials for solutions. Point out significant ideas and subtleties in
Chapters 2 and 3 of Fast
Track.


Continue
to prepare for the AP exam. Prepare questions for tomorrow’s class.
Work on ellipse project.



Tuesday 4/9/13
2D


Student questions from AP
bulletin materials and Fast Track.


Answer student questions
on assorted materials related to the AP exam. Point out significant ideas and
subtleties.


Study for quiz on L’Hôpital’s Rule from the two virtual
lessons.
Start working on the remaining
required chapters of Fast Track:
4,5,6.



Wednesday 4/10/13
5E


Quiz: L’Hôpital’s Rule
(virtual lessons)
Comments
on Chapter 4,5,6 of Fast Track.


Determine students’
understanding of indeterminate forms and l’Hôpital’s Rule. . Point out
significant ideas and subtleties in Fast Track.


Continue working on the remaining
required chapters of Fast Track:
4,5,6.



Thursday 4/11/13
1F


Comments
on Chapter 4,5,6 of Fast Track continued.


Point out significant
ideas and subtleties in Fast
Track. Answer questions.


Work on 2010, 2011,
2012 Free Response AP questions. Continue your personal review for the AP
exam.



Friday 4/12/13
1 A


2010
AP Free Response presentations.


Oral presentations of
AP problems in which students discuss the important ideas and pitfalls.


Work on 2010, 2011,
2012 Free Response AP questions. Continue your personal review for the AP
exam.
PROJECT DUE MONDAY.



Week 31


Date


Lesson


Objectives


Homework



Monday 4/15/13
1B


Ellipse project due.
2010
AP Free Response presentations


Quick presentation of
project designs. Oral presentations of AP problems in which students discuss
the important ideas and pitfalls.


Work on 2010, 2011,
2012 Free Response AP questions. Continue your personal review for the AP
exam.



Tuesday 4/16/13
2C


Catchup Day.


Present problems as
needed. Answer questions.


Work on 2010, 2011,
2012 Free Response AP questions. Continue your personal review for the AP
exam.



Wednesday 4/17/13
1D
Junior Retreat


2012
AP Free Response presentations


Oral presentations of
AP problems in which students discuss the important ideas and pitfalls.


Study for quiz. Work on
2010, 2011, 2012 Free Response AP questions. Continue your personal review
for the AP exam.



Thursday 4/18/13
1E
Junior Retreat


Quiz: State
differentiation and integration formulas required for AP Exam.
2012
AP Free Response presentations


Determine students’
knowledge of differentiation and integration formulas needed for the AP exam.
Oral presentations of AP problems in which students discuss the important
ideas and pitfalls.


Work on 2010, 2011,
2012 Free Response AP questions. Continue your personal review for the AP
exam.



Friday 4/19/13
1F


2011
AP Free Response presentations (Part I)


Oral presentations of
AP problems in which students discuss the important ideas and pitfalls.


Work on 2010, 2011,
2012 Free Response AP questions. Continue your personal review for the AP
exam.



********************************************************* AP Calculus
Weeks 2829
Week 28
Remember to check your
ability to access the virtual lessons. Worksheets are due by Monday, April
8,2013. No late work will be accepted.


Date


Lesson


Objectives


Homework



Monday
3/18/13
1F


7.2 (cont.)


Complete
the remaining problems to illustrate all possible revolution scenarios
required for 7.2. Answer student questions. Provide some inclass work time
if time permits.


Catchup



Tuesday
3/19/13
2A
Extra help 3p.m.


Questions
for quiz.
Start uniform cross
sections(7.2 cont.)
.


Answer
some questions for quiz; demonstrate uniform crosssections with physical
objects; extend concept of “area of face X thickness of slice” to
crosssections.


Study
for quiz. Note: the quiz will involve mostly setups. Be prepared to compute
intersections and approximate areas and volumes using your graphing calculator.



Wednesday
3/20/13
1B


Quiz: 7.17.2
Areas and Volumes of
Solids of revolution


Determine
students’ understanding of finding area between curves, volumes of solids of
revolution, and calculator use for intersections and integrations.


Read/do page
461(middle) 462.
Page 466 #62(128/3,(32
/3, 16π/3,32/3)
Very AP: #61,63,
6773odd



Thursday
3/21/13
1C
(BandDisney)


Complete all 7.1, 7.2
for next week’s test.
Complete volumes with
uniform cross sections.


Provide
further examples of volumes with uniform cross sections; provide inclass
work time due to high absence rate.


Continue



Friday
3/22/13
1
D
(BandDisney)


Begin
AP exam review.
Distribute
“Fast Track”
(Because
of high absence from Disney trip, general comments and sample problems of the
AP exam will be delayed until Monday.)


Point
out important ideas and make comments on Chapter 1 of ”Fast Track.”


From
this point on, the expectation is that YOU WILL SPEND 1 HOUR EACH DAY ON AP
RELATED MATERIALS. Consult the Exam prep schedule.
Monday:
Complete Fast Track Chapter 1



Week 29


Date


Lesson


Objectives


Homework



Monday
3/25/13
1E


Introduce
ellipse project (due 4/15).
Intro
to the AP Exam
AP
Prep (cont):
Sample
problems.


Discuss
the requirements of the ellipse project. Describe the setup of the AP exam.
Do some sample problems provided in the AP bulletin.


Complete
sample problems distributed in class.
By
the end of Easter break you should have completed the first 3 chapters of the
“Fast Track” workbook.



Tuesday
3/26/13
2F
Extra help 3p.m.


AP
Prep (cont.): Sample problems.


Do
some sample problems provided in the AP bulletin.


Complete
sample problems distributed in class.
By
the end of Easter break you should have completed the first 3 chapters of the
“Fast Track” workbook.



Wednesday
3/27/13
5A


Questions
for test.
AP
Prep(cont): Comments on Chapter 2 of Fast
Track.


Answer
a few question for tomorrow’s assessment.
Point
out important ideas and make comments on Chapter 2 of ”Fast Track” as time permits.


Study
for test.



Thursday
3/28/13
4B
12:30
dismissal


Test: 7.17.2
Areas and Volumes of
Solids of Revolution




Virtual
lessons due on Monday, April 8. No late work accepted.
By
the end of Easter break you should have completed the first 3 chapters of the
“Fast Track” workbook.



Friday
3/29/13
Good
Friday


No
School


Blessed
Easter!


Have
a good vacation.



********************************************************* AP Calcuus
Week 27


Date


Lesson


Objectives


Homework



Monday 3/11/13
1 B Day


Takehome due.
Some questions from slope fields.
7.1 (cont.)


Answer some questions related
to Friday’s test. Complete 7.1 by demonstrating area between curves set up as
dy integrations or as calculator only estimations.


Page 452 #31 then #27; #37, 4155 odd, #65(trap.
rule only), 71, 77(AP!), 88,9092(T,F)
AP slope field problem due.
Be sure you have read p. 417 (Newton's Law
of Cooling) and p. 42728 (logistic growth) before the test.



Tuesday 3/12/13
2C


AP Problem due
7.2 Volume of
Solids
Disks and Washers


Use party favors to demonstrate
volumes of solids of revolution. Use y=x^{2}[0,3] to develop the volume formula. Begin volume problems using
the same function and interval and all combinations of vertical and
horizontal axes of rotation required for the AP exam include washers.


Read p. 446451 with special emphasis on p.450451.
Page 463 # 19 odd



Wednesday 3/13/13
Special D
Jr/Sr Reconciliation
Extra Help 3p.m.


7.2 (cont.)


Continue


Page 463 # 11,1521odd,27,41,49,53



Thursday 3/14/13
Special No Letter
Blood Drive
Fr/Soph Reconciliation


7.2 (cont.)


Continue


Study for test.
By Monday: read/do p. 459460 examples.
Catchup.



Friday 3/15/13
1 E Day
Dress Down


Test: Slope Fields and Differential Equations


Determine students’
understanding of solving variables separable differential equations and slope
fields.


Catch up.



Quiz 7.17.2. Wednesday 3/20 with
help 3/19
Test: Area and Volumes Thursday 3/28. Help Tuesday 3/26.
**************************************** AP Calculus
Week 26
Date

Lesson

Objectives

Homework

Monday 3/04/13
D Day

Slope Fields (from
multiple sections in Ch. 6 and previous chapters)

Create a slope field
from a family of parabolas. Create a slope field from a differential
equation. Seeing shapes in a slope field.

Catchup from last
week; read notes from today’s class as well as p. 4067

Tuesday 3/05/13
2E

Slope Fields (cont.)

Using
the slope fields worksheet, solve differential equations and sketch
particular solutions on slope fields.

Continue other
assignments.
Review definition of
orthogonal curves/families.
AP slope field problem
handin due Tuesday 3/12.

Wednesday 3/06/13
No Letter Day
Junior College Day
12:30 dismissal
Progress Reports

Complete Slope Fields
Orthogonal Trajectories

Review orthogonal
curves. Define orthogonal trajectory and use differential equations to
generate orthogonal trajectories using p. 426 #8 and x^{2} + y^{2} = r^{2}
with y=kx.

Read p. 408; then do p.
411 #69. Page 418 #11,13; page 430 #55a, 57a; read page 427; do page 429
#23,25,61,63.

Thursday
3/07/13
F
Day
Musical Dress Rehearsal

.
Catchup with inclass work period.(High
absence related to play)

Complete any objectives not yet
covered even if absence is high.

Catchup!

Friday 3/08/13
A Day

7.1 Area Between Curves

Using Riemann Sums, develop the
formula for area between two curves. Do several examples including those
requiring solving a system to determine limits of integration.

Page 452 #17odd, 13, 1723 odd.

Test:
Slope Fields and Differential Equations Friday 3/15 Extra Help Wednesday 3/13
************************************************** AP Calculus
Week 25


Date


Lesson


Objectives


Homework



Monday 2/25/13
E Day


5.65.7 questions.
6.1 (differential
equations review portion only)
Begin 6.3
Separation of Variables


Answer questions related to inverse trig functions. Review
terms: differential eq, general/ particular solutions, order. Define singular
solution. Solve several differential equations but do not use slope fields yet.
Introduce variables separable format and illustrate with several examples.


Page 409 # 19odd,
15,19,23,25,31,33,3747odd



Tuesday 2/26/13
2F


5.65.7 questions;
continue 6.3 Separation of Variables


Answer questions for quiz. Complete any objectives from
Monday.


Study for quiz.
Page 429 #123 odd



Wednesday 2/27/13
A Day
Moody’s Meeting
3 p.m.


Quick quiz 5.65.7
6.2 Growth and Decay


Determine students’ manipulative skills with
differentiation and integrations related to inverse trig functions. Define
exponential growth as a differential equation. Write and solve exponential
growth/decay equations.


Read page 423 through Ex.4. Do p. 429 #2731 all
on loose leaf. Handin Friday



Thursday 2/28/13
B Day
Constitution Center Trip


Questions 6.1 to 6.3.
Student work day
due to heavy trip absence.


Allow students not on the trip to work on Chapter 6
problems.


Remember handin due tomorrow. Do some of the following
as time permits: Page 418 IN THIS
ORDER (trust me) #21,23, 11,13, 19 odd.



Friday 3/1/13
C Day
Liturgy
Junior Prom: 12:30
dismissal


Handin due.
Complete 6.2 as needed.
Catch up in general.


Complete all required topics
from 6.16.3; answer student questions.


Continue p. 418 work .
Take home Ch. 5 multiple choice quiz due Monday 3/11 with work.



Moody’s
Mega Math Challenge 3/2 Good
luck!!!!
********************************************** Calculus AP
Week 24
Date 
Lesson 
Objectives 
Homework 
Monday 2/18/13
F Day 
Complete 5.6 
Review derivatives of inverse trig functions. Derive the formulas for acrsinx and arctanx. Answer student questions. 
5.6 work: page 378#4159 odd,61,71,75,89. Handin Thursday #62,76,84,86,88.
MEMORIZE formulas from 5.6,5.7 by Thursday for a quiz. 
Tuesday 2/19/13
2A
Extra Help 3p.m. 
Questions for test.
Begin 5.7 Inverse trig. Integrals 
Answer questions related to the test. Introduce formulas for integrals involving inverse trig functions and do examples. Provide opportunities to decide what to do in an integral rather than working out the entire problem. 
Study for test.

Wednesday 2/20/13
B Day

Test 5.15.5 
Determine students’ understanding of integrations and differentiations involving exponential and logarithmic functions. 
Memorize 5.67 formulas.
Two day assignment: Do Ex. 15 of 5.7. Do page 385 #141 every other odd and #43 for skill practice, more if needed; page 385 # 4752 all,67,7578(FF). Handin #82 Monday. 
Thursday 2/21/13
C Day
Spartan Spirit Uniform Color 
Quiz: Memorized formulas from 5.65.7
Handin due.
Complete 5.7 
Determine students’ knowledge of 5.67 formulas. Continue Tuesday’s objectives. Answer student questions from 5.67 or provide some inclass work time. 
Continue. 
Friday 2/22/13
D Day
Spartan Spirit Dress Down 
5.7 questions.
Begin 6.1 Differential Equations 
Answer questions related to inverse trig functions. Review terms:
differential eq, general/ particular solutions, order. Define singular solution.
Solve several differential equations but do not use slope fields until next
week.

Happy Spartan Spirit!!
Catchup with 5.65.7
Page 409 # 19odd, 15,19,23,25,31,33,3747odd

Quiz (short) 5.65.7 Wednesday 2/27
***********************
AP Calculus
Week 23
Suggestion: read your Precalculus H notes on inverse trig functions. They’re back in 5.6!!!!

Date 

Lesson 

Objectives 

Homework 


Monday 2/11/13
A Day


Handin due. (Integration comparison) Complete 5.4


Reinforce the formulas introduced for differentiation and integration of an exponential function. Use these in applications including max/min, area, tangent lines, differential equations and Newton’s Method. 

FOOD DRIVE DONATION.
Page 357 #51,53,5761odd,6773odd,107,109113,115,117,127. Read p. 353 Ex.5 to discover what the “bell curve” actually is 


Tuesday 2/12/13
2B
(Extra Help changed to Thursday.)


Catchup day. 

Complete any objectives listed above. Go over takehome quiz. Answer student questions. Allow some inclass work time as time permits. 

FOOD DRIVE DONATION.
Complete 5.4 work.
Review inverse tri functions by Thursday (See p.371373 and Precalc H notes) 


Wednesday 2/13/13
C Day
Ash Wednesday


5.5 Bases Other Than e 

Derive differentiation and integration formulas to parallel those in 5.1,3,4 but using bases other than e. Practice the mechanics of using these formulas. Compare derivatives of exponent expressions including those with both a variable base and a variable exponent. 

FOOD DRIVE DONATION.
Page 366 #135odd as needed; #3747odd,5171odd
Read 5.5. Do page 366 #78,91,93(d is important!),101106(TTT).



Thursday 2/14/13
D Day
Valentine’s Day
Extra help 3 p.m.


“The Romance of the Dot and the Line”
Complete 5.5
Begin 5.6 Inverse Trig Derivatives (time permitting)


Wish students Happy Valentine’s Day with an award winning short that combines mathematics, art and language. Answer some questions related to the quiz. Discuss p. 368 #93 as “classic AP” if time allows. Review the restrictions related to inverse trig functions and using right triangles with variable sides with inverse trig functions. 

FOOD DRIVE DONATION.
Study for short quiz on differentiation and integration mechanics from 5.1,2,3,5.



Friday 2/15/13
E Day 

Quiz: Mechanics of Derivatives/Integrals 5.155 (partial period)
Continue 5.6 

Determine students’ ability to do basic differentiations and integrations related to logarithmic and exponential functions. Introduce the derivatives of the inverse trig functions without proof and provide examples . (Proofs in next class) Do p. 368 #93 if not discussed on Thursday. 

Begin review for test: p. 399#9,11,1523odd,31,3959odd,6573odd and 2^{nd} Fundamental Theorem types. 

 