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A P Calculus AB
Judy Jenkins
MADISON CENTRAL HIGH SCHOOL
Contact Judy Jenkins

Page Last Updated Apr 21, 2009
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Welcome to the 2008-2009 School Year!

I am looking forward to an exciting year!

If we are learning THE CALCULUS, how can it be anything else.

Disclaimer:  As (a) representative(s) of the Madison County School District, responsibility of external web site control and content rest solely on the author(s) or manager(s) or webmaster(s) of this web site(s) and not with the district. The MCSD does not endorse this web site for school, academic, business, or any other purposes



ASSIGNMENTS

AUG 7/11

DO NOW

Complete student information forms

Go over classroom procedures

Hand out reference sheets (geometry, trig,etc.)

LET THE FUN BEGIN WORKSHEET(CW & HW)

For the next several blocks we will be reviewing Algebra, Trig etc as needed for Calculus



AUG 13

DO NOW Worksheet

Go over worksheet

Worksheet on basic graphs and transformations,dilations and reflections(CW & HW)



AUG 15



DO NOW Worksheet on graphs

Go over HW worksheet

Worksheet on graphs domain and range (CW & HW)



AUG 19



DO NOW Worksheet on solving equations

Go over HW



Worksheets on transformations

Worksheet on graphs range and domain



Project: Notebook on basic precalculus and trig

material Due Sept 6



Aug 21



Do now Piece-wise functions



Continue work on Pre-Calculus review

CW/HW Worksheets

Issue books



Aug 25



Do Now Worksheet

Quiz Graphing piece-wise functions

Even more worksheets on graphs

HW Take- Home Test on Graphs



Aug 27/29



Objectives/Standards :

Review Pre-Calculus



Do Now worksheet

go over Chapter p 3-33

Precalculus review p A1-A14

This material should be well known to the students and just need a little review

Resources :

Textbook

Homework :

P 17-18 problems as needed

p A8-A9 problems as needed

p A15 problems as needed

Assessments :

Worksheet





Objectives/Standards :

Review Trigonometry

Plan :

Do Now Worksheet

Trig Review P A17- A24



Resources :

Textbook

Teacher made worksheet

Homework :

p A25- A27 1-66 every 3rd

Assessments :

quizzes





Finish Precalculus Review

Do Now Worksheet

Quiz

Answer questions and go over once more essential precalculus material

Resources : Textbook; Worksheets

Homework :

Work on Reference for binder



Aug 29

• *Ca1 - Demonstrate basic knowledge of functions, their behavior and characteristics.

• *Ca1a. - Predict and explain the characteristics and behavior of functions and their graphs.

• *Ca1b. - Investigate, describe, and determine asymptotic behavior.

• *Ca2a. - State and apply properties of limits.

DOK 1 and 2

Do Now worksheet



What is Calculus p 41-45

Introduction to Limits p53

Classwork: p 53-55; 2, 3,9,11-20, 43-46



Sept 3/5



• *Ca2 - Evaluate limits and communicate an understanding of the limiting process.

• *Ca2a. - State and apply properties of limits.

• *Ca2b. - Calculate limits using algebra.

DOK 1 and 2

Evaluate limits analytically p 56-63

(we will spend 2 blocks on this material)

Homework : p 64-66

1st night 5-68 odd

2nd night worksheet

Resource book due next block



Sept 9/11


Do Now ACT/Remediation

Quiz Limits

• *Ca1b. - Investigate, describe, and determine asymptotic behavior.

• *Ca1c. - Discuss and determine continuity and discontinuity of functions.

DOK 1 and 2

Continuity p 67-75

CW/HW p76 77



Homework :

1st night p 76-77

5-70 every 3rd

2nd night Worksheet

Sept 15

Investigate, describe, and determine asymptotic behavior.

Limits at infinity

Infinite Limits

DOK 1 and 2

Do Now worksheet

Quiz on limits and contiuity

Infinite limits p79-83

Limits at infinity p187-192

Homework :

CW/HW p 84 1-4; 9-39 odd

p 193 1-6; 11-23 odd


Quiz



SEPT 17/19


• Investigate, describe, and determine asymptotic behavior.

• Discuss and determine continuity and discontinuity of functions.

• Evaluate limits and communicate an understanding of the limiting process.

• State and apply properties of limits.

• Calculate limits using algebra.

• Estimate limits from graphs or tables of data.

DOK 1 and 2



Do Now Worksheet

Go Over HW

Begin Review of Limits and Continuity



TEST 9/23

Homework : Worksheets



SEPT 23



LIMIT AND CONTINUITY EVALUATION  DOK 1&2


TEST

Homework : Take-home test

Read at least twice p 91-98



Sept 25

Do Now worksheet

Go Over Test

Begin Derivatives p 91-98 

Use the definition and formal rules of differentiation to compute derivatives.

State and apply the formal definition of a derivative.

DOK 1 and 2 some 3

CW p 99 5-15 odd;17; 26;27-32;51-60

Homework : Finish classwork


Sept 29/Oct 1

Use the definition and formal rules of differentiation to compute derivatives.

State and apply the formal definition of a derivative.

Apply differentiation rules to sums, products, quotients, and powers of functions.

Discuss and demonstrate the differences between average and instantaneous rates of change.



DOK 1,2 and 3

Do Now worksheet

p 102-109

We will spend 2 blocks n this material


CW/HW p110 1-51 odd;

p 111-113 61-64;

65-68;71-71

OCT 3

NINE WEEKS TESTS NEXT WEEK  A2 10/8 and A3 10/10

Do Now worksheet

• Apply differentiation rules to sums, products, quotients, and powers of functions.

• Discuss and demonstrate the differences between average and instantaneous rates of change.

• Interpret and communicate the purposes of the derivatives.

• Interpret the derivative as a rate of change in varied applied contexts, including velocity, speed and acceleration.

• Apply the derivative to find tangent lines and normal lines to given curves at given points.

DOK 1,2&3


Product and Quotient Rule; higher order derivatives P 114-120

CW/HW p 121-123-100every 3rd

Study for Nine Weeks Test  all material so f
Homework : Finish classwork

Read p 124-130


Oct 8 or Oct 10 and Oct 14

Do Now  Worksheet

Nine Weeks Test A2 10/8  A3  10/10

* Apply differentiation rules to sums, products, quotients, and powers of functions.

• Use the chain rule and implicit differentiation.

• Interpret and communicate the purposes of the derivatives.

• Interpret the derivative as a rate of change in varied applied contexts, including velocity, speed and acceleration.

• Apply the derivative to find tangent lines and normal lines to given curves at given points.

DOK 1.2.3
CHAIN RULE p 124-130 WE WILL SPEND 2 BLOCKS ON THIS

CW/HW p 130-132 1-79 every 3rd (1st night)

2-79 every 3rd (2nd night)



Oct 16/20

Do Now  Worksheet

Apply differentiation rules to sums, products, quotients, and powers of functions.

Use the chain rule and implicit differentiation.

DOK 1,2,3


Quiz on Formulas

Implicit Differentiation p135-138

CW/HW p 139 1-40 ( we will spend 2 blocks on this

material)



Homework : CW/HW p 139 1-40





Oct 22/Oct 24/OCT 28/OCT30

Do Now Worksheet

Use the definition and formal rules of differentiation to compute derivatives.

• State and apply the formal definition of a derivative.

• Apply differentiation rules to sums, products, quotients, and powers of functions.

• Discuss and demonstrate the differences between average and instantaneous rates of change.

• Use the chain rule and implicit differentiation.

• Interpret and communicate the purposes of the derivatives.

• Interpret the derivative as a rate of change in varied applied contexts, including velocity, speed and acceleration.

• Apply the derivative to find tangent lines and normal lines to given curves at given points.

DOK 1,2,3




We will spend several blocks on this

Review derivatives so far

CW/HW WORKSHEETS

Take Home worksheet on derivatives; may work in groups Due NOV 7



Test Nov 3

NOV 3

Do Now Review for Test

Derivatives Test

HW Continue working on worksheet and

     read at  least twice Related Rates p 141-145

 

NOV 5/NOV 7/NOV 11

Do Now Worksheet

Begin Related Rates p 141-145



Use the chain rule and implicit differentiation. - Interpret the derivative as a rate of change in varied applied contexts, including velocity, speed and acceleration.

Model rates of change to solve related rate problems.

DOK 1,2,3


CW work examples of related rates in class


For the next 2 blocks we will work on Related Rates

CW/HW p 146-149 1st day 11-52 every 3rd

2nd day 12-52 every 3rd



Homework : 1st day 11-52 every 3rd

2nd day 12-52 every 3rd



QUIZ 2nd day

Take-Home Test Due Nov 17

May work in groups



NOV 17/NOV 19/ NOV 21


Do Now Worksheet



Apply derivatives to find solutions in a variety of situations.

Interpret and communicate the purposes of the derivatives.

Apply Rolle’s Theorem and the Mean Value Theorem and their geometric consequences.

Apply differentiation techniques to curve sketching.

Explain and predict the relationships between functions and their derivatives.

DOK 1,2,3



PROJECT DUE DEC 12

Prepare a review booklet for the material covered 1st semester



Curve Sketching p 155-204 We will spend 4 or 5 blocks on this material

CW/HW p 160-161 1-25 every 3rd; 29-36

p 167-168 3-15 every other odd; 27-34 odd

p202-203 1-5; 7-44 every 3rd



Homework : HW p160-161 1-25 every 3rd

29-36

p167-168 3-15 every other

odd; 27-34 odd

p 202-203 1-5; 7-44 every 3rd

DEC 1-DEC 8

Apply derivatives to find solutions in a variety of situations.

Interpret and communicate the purposes of the derivatives.

Apply Rolle’s Theorem and the Mean Value Theorem and their geometric consequences.

Apply differentiation techniques to curve sketching.

Explain and predict the relationships between functions and their derivatives.

DOK 1, 2, 3

Do Now Worksheets


Continue with Curve Sketching

Worksheets We will work on these for 3 blocks



Take-Home test Due Dec 12

DEC 10/DEC 12

Do Now  True/False Quiz


Begin SEMESTER REVIEW WORKSHEETS



Semester Exam Dec 16/Dec 18

HAVE A SAFE AND HAPPY HOIDAY SEASON!!!!!!!!!!!!!!



WELCOME BACK



JAN 5/7/9



Go over 1st Semester Exam

Finish Graph Sketching

Take Home Test

Begin Optimization p 205-209

HW p 210 2-10



Jan 13



DO NOW OPTIMAZATION QUIZ



Continue Optimization

Problems p 210- 213 discuss set-up in cla


CW/HW Optimization worksheets

Read p 215-222



JAN 15



Do Now Worksheet



Finish optimization

Newton's Method p 215-218

Differentials p 221-224



CW/HW p 219 5.11, 13

p 226 7, 11, 39, 42



JAN 20/22



Do Now Worksheet

Antiderivatives p 241- 248



We will spend 2 blocks on this material



Quiz on Formulas



CW/HW p 246-250 11-47 odd

51, 53 57-73 every 3rd



JAN 26/28



Do now worksheet

Quiz on antiderivatives

Sigma Notation and Area p 252-260

Definite integrals p 264-271



CW/HW p 260 a few examples of each type

p 271 1-10; 21-24; 43,44





Jan 30/Feb 3/Feb 5



Do now worksheet

CW Worksheets on definite integral

Fundamental Theorem of Calculus p 274-282



CW/HW p 283-285 5-23 odd; 43, 45; 67-83 odd



Feb 9/Feb 11


Do now worksheet

u-substitution p 287-295


We will spend 2 blocks on this



CW/HW p 296 7-30; 47-80 every 3rd



Feb 13



Do Now worksheet



Quiz on u-substitution



Numerical integration Trapezoid rule p 299-301



CW/HW p 304 1-19 every other odd Trapezoid rule only

p 306 review exercises 1-14; 19-60 every 3rd

Feb 18 Quiz on Integration



Feb 18-Feb20



Do now worksheet

Quiz on Integration

Transcendental functions p 311-326 Natural log

CW/HW p 319 41-77 every other odd

p 327 1-29 every other odd



Exponential functions p 338-344

CW/HW p 345 29-47; 75-91 every other odd



Feb 24/Feb 26

Do Now Quiz



Bases other than e p 348- 353

Inverse trig functions p 377-389

p 354 29-43; 69-75 every other odd

p 384 43-55 every other odd

p 390 1-31 every other odd

Applications of Integration Take-Home

March 2
Do now worksheet


Differential Equations p 358-362


CW/HW p 363-365 select problems


NINE WEEKS TESTS   A2 March 10    A3 March 12


March 4/6

Do Now Worksheet

WORKSHEET ON DIFFERENTIATION AND INTEGRATION

Sudy for Formula Quiz

Take Home Test Chapter 5

MARCH 10/12

9 wks test or Formula Quiz

HW

Read p 407-433



HAVE A GREAT AND SAFE SPRING BREAK!!!!!!!!!!!





March 23/25


Do Now worksheet

Go over 3rd 9 weeks test


 work on Area between curves p 407-412

CW/HW p 413 1-10; 13-25 odd

Calculator review

slope fields


Volumes Disc/washer; Cross sections; Shell

p 416-431

CW/HW p 423 1-10; 11-35 every other odd; 55

p 432 1-4; 5-23 every other odd



Take home on area /volumes


MARCH 27/31/APRIL 2/6/8/13/15/17/21/23/27/29/MAY 1/5


Begin AP Calculus Review LOTS OF WORKSHEETS

Do now worksheet



REVIEW for AP EXAM MAY 6

LOTS OF WORKSHEETS and OLD TESTS



After exam we will do more practice test and when avaliable, work the 2009 free response



































Flashcards