Essential Question: How do I apply derivatives to find rates of change of real life situations

HWK:  Pg 154-156 #1, 3, 5, 7, 11, 13, 17, 18, 20, 21, 22, 25, 26, 28, 29, 31, 33, 42, 43

Probably 1.5 hours of work

40 hwk points

Due date: 1-7-19  Monday

Related Rates Notes


REMEMBER YOU MUST ALSO TEACH YOURSELF HOW TO DO LINEAR APPROXIMATIONS SINCE WE ARE OUT OF THE BUILDING FRIDAY AND THE WEDNESDAY THAT WE RETURN.  YOU HAVE A COPY OF THE NOTES WITH THE HWK ATTACHED AT THE END.  I HAVE ALSO INCLUDED BOTH NOTES AND HWK IN THE LINKS BELOW.

DUE DATE:  1-4-19 Friday

Hwk points 30

Probably 1 hour of work.

linear approx notes

linear approx hwk

Essential Question: How do I find the concavity intervals and inflection points of a function

HWK:       Pg 195-196    #5, 10, 13, 18, 21, 25, 27, 31, 34, 35, 37, 39, 41, 47, 48, 50, 51, 62, 63, 65, 67, 82, 91, 92, 93, 94

Probably 1.5 hours of work

Due Date:  12-17-18 Monday

40 point assignment

QUIZ on 3-1, 3-3, and 3-4 on Tuesday and Wednesday of next week.  200 point major quiz

 REMEMBER TAKE HOME TEST IS ALSO DUE WEDNESDAY, YOU SHOULD HAVE A VERY BUSY WEEKEND

Concavity and inflection point notes 

Essential question: How do I find intervals of increase and decrease and relative extrema

Homework:  Pg 186-188 #6, 7, 10, 11, 16, 21, 23, 25, 27, 29, 31, 33, 35, 42, 44, 45, 47, 59, 60, 62, 64, 66, 67, 68, 70, 71, 74, 76, 77, 78, 82

Probably 1 hour and 15 minutes to 1 hour and 30 minutes of work

30 hwk points

Due Date:  12/11/18  Tuesday

Increase and decrease and relative extrema notes

Essential question: How do I find the absolute maximum and minimum of any function on a given interval

Pg 169-171 # 3, 5, 11, 13, 14, 15, 16, 20, 21, 23, 26, 29, 31, 33, 37, 42, 54, 55, 56, 57, 58, 60, 65, 66, 67

Due date:  12/5/18

20 hwk points

Probably 1 hour of work

Hwk absolute extrema on an interval notes

Major Quiz second half of chapter two (Friday and Monday)

Make sure you are prepared!!!!!!!!!

Essential question: Is there a quicker way to do o/o and inf/inf indeterminate limits?

Hwk:  pg 576   #5, 6, 7, 8, 9, 10, 12, 13, 14, 19, 21, 25, 26, 27, 31, 33, 39

Probably 30-40 min of work

20 hwk points

Due date:  11/28/18

L'hopitals rule notes

Essential question: How do I take the derivatives of things that are not functions

Homework: Pg. 146-148    #2, 5, 8, 9, 10, 11,13, 15, 22, 23, 24, 26, 27, 28, 29, 31, 38, 48, 50, 53, 57, 77

Probably 1 hour of work.

20 hwk points

Due Date:  11/26/18  Monday



Implicit differentiation notes

How do I take the derivative of function that have quantities raised to a power or trig functions that have a strange period

Hwk:  PG 137-140 # 1, 5, 6, 7, 9, 10, 14, 16, 18, 19, 20, 22, 23, 26, 28, 30, 34, 46, 47, 48, 51, 54, 56, 60, 61, 64, 65, 68, 70, 74, 76a, 78a, 80a, 82a, 92, 95, 101, 105, 106, 107, 108, 110, 120, 130, 131

Another sizeable assignment

Probably 1.5 hours of work if done well.

40 hwk points

Due Date:  11-16-18

Chain rule notes

Essential Question: How do I take derivatives of functions involving products and quotients

pg. 126-129

#1,5,7,12,13,16,18,20,22,23,26,28,30,32,33,36,38,40,44,45,4,6,47,53,54,60,61,62,63a,66a,67a,74,82,85,87,94,98,99,102, 104,107,108, 109,111,112,118,131,132,133,135,136,137,139

Due Date: 11-2-18

Probably 1.5 hours of work

40 hwk points

Product and Quotient rule notes

Due Dates from 10/18 to 10/29

HWK 2-2 Derivative rules part 1 

Pg. 115-116 #1,4,6,8,10,12,13,17,26,28,29,32,33,35,40,41,45,47,50,55a,58a,65,67

Probably 45 minutes of work

Due Date:  10-24-18


HWK 2-2 Derivative rules part 2

Pg. 115-118 #20,23,24,38,53,54,59,63,72-76,87,89,90,92,94, 97,98,99,100,101,103,117,118

Probably 45 minutes of work

Due Date:  10-26-18


NOTES ON POWER RULE, TRIG DERIVS, AND POSITION FUNCTION


Take Home Test:  

Assigned:   10-18-18
Due Date:  10-29-18
100 Product points


Benchmark Review Guide:  

Assigned: 10-18-18
Due Date:  10-26-18

50 Process points based on completion


Benchmark Exam (End of Quarter Exam #1)  :

Test date: 10-30-18

100 product points


It would be easy to get overwhelmed in this next 2 week period if you are not being proactive and working through things well ahead of time.  So I know it is a long weekend and you want to relax and enjoy it, but if you don't work for a couple of hours on your take home test/benchmark reveiw guide and get chunks of them done, next week will be a tremendous amount of work to get through.

SO DON 'T TAKE THE WEEKEND OFF

Essential Question: How do we use the definition of the derivative to find the derivative ? Why is a derivative important? How do we use the derivative to find the slope of a graph?

pg. 103-106 #1,8,9,14,19,21-23,26a, 35,39,40,41,42,45-48,51,52,75,78,83,84-88, 97,102-104

Probably 1 hour and 15 minutes of work

Due Date:  10-18-18  Thursday

30 hwk points

You must use the definition of the derivative to do the derivatives and not use a shortcut even if Mr. Himes has already shown you a shortcut.  If the shortcut is use a zero will be assigned as your grade.



REMINDER:  Major Quiz on the second half of chapter on 1-4,1-5, and 3-5 on Tuesday and Wednesday of next week (16th and 17th)

def of derivative notes

Essential Question: What is a horizontal asymptote and how do I solve limits as they approcah infinity

Homework on HAT( p.205-206)

# 1,2,3,4,5,6,9,11,23,24,25,26,29,30,31,36,37,46,52,53,57,65,70,72,75,92)

Probably 45-50 minutes of work

Due Date: 10/11/18

20 hwk points


Spiral Review due 10/11 

Quiz on 10/16 and 10/17

HAT notes 

Essential Question: how do I know what is happening around a vertical asymptote without a graph, and how do I solve infinite limits

Homework: p. 88-89 #6,7,10,14,16,19,21,26,31,40,41,43,44,46,49,50,59-64,68

Due Date: 10-8-18

20 hwk points

Probably 1 hour of work

infinite limits notes

Essential Question: How do I solve calculus problems involving continuity and one sided limits, and use the intermediate value theorem

PG 79-81

# 10, 11, 14, 15, 18, 20, 22, 23, 65, 66, 67, 84, 89, 92, 93, 94, 103

Might want to re-look at problems #58,#59, #96 from last assignment and make sure you understand those concepts

Probably 1 hour of work

Due Date: 10-4-17 (Thursday) 

Will be graded for 20 points

Continuity notes complete 

Essential Question: How do i determine where a function is continuous, the type of of discontinuity, solve problems involving continuity, and use the Intermediate Value Theorem

Page 78-81

#4, 6, 40, 41, 43, 52, 54, 58, 59, 70, 71, 75, 78, 95, 96, 97, 98, 99, 100, 102

For the following problems do not follow book directions do our three bullet continuity discussions.  #27, 30, 44, 47, 49, 53

Probably 1 hour of work

Due Date: 10-1-18

30 hwk points 

Continuity notes so far 

Essential Question: How do I solve indeterminate limits analytically

Homework: p.67-69

#43,45,46,48,52,56,58,59,62,65,66,69,70,72,73,74,78,79,80,81,85,91,97-100,116

Due Date:  9-20-18

Probably 1 hour of work

hwk points 20

Solving limits analytically notes

Essential Question: How do I solve limits analytically

Pg 67-68 due Monday 9-17-18

#2, 4, 15, 22, 25, 27, 30, 31, 34, 38, 39 (Do not do as proofs)

and

#8, 11, 13, 16, 19, and one worksheet problem (AS LIMIT PROOFS LIKE WE DID IN NOTES)

Should take 45 min to an hour

30 hwk Points


ALSO REMEMBER:  The take home test you have had since 9-7-18 is due on Monday the 17th as well.

Limit thms and properties notes

Essential Question: Why are limits developed, when do they not exist and how are they solved nonanalytically?

Pg 54-58

#2, 4, 8, 16, 18, 19, 20, 22, 23, 24, 26, 29, 61, 62, 63, 64, 71, 73, 74

Length: Probably 45 min

Due Date: 9-11-18

What is a limit notes

Welcome back!!

We are excited that school is starting this week, and the joys of Calculus are about to be unveiled.  Hope you have had a great summer and are ready to work hard and have some fun.

If for some reason your summer assignment is not done, we need it as soon as possible as it is costing you points every day.  

We will be getting into things on day two,  so bring your summer assignment and answer key with you tomorrow.  You will be doing group work while we are getting books and calculators out to you.




Have your three ring binders by Thursday and start working on your first take home test over the weekend.



It was a good first day and let the hard work begin.





See you tomorrow,
Mr. Halstead and Ms. Straub

Inverse trig notes and hwk

HWK Inverse Trig worksheet

Due Date:  Tuesday 5-29-18

30 hwk points

probably 1 hour of work

inv trig integration notes

Worksheets due next week

Hwk worksheet on inverses, their derivatives, and Magnum PI

20 points

Due Date:  5-1-18

Probably 40 min of work




Notes on inverses and magnum PI 



Hwk worksheet on exponential growth and Inverse trig derivatives

20 points

Due Date: 5-4-18

Probably 40 min of work

Notes on Inv Trig Derivatives

Slp Field Packet

Do all probs in the packet

Due Date:  4-25-18

Probably 45 min of work

slp field notes

Cross sectional Volume

Worksheet problems 1-5

Probably 40 min of work

Due date: 4-17-18

Cross sectional volume notes

HWK Washer method of rotational volume

Pg 465-466

#  5, 6, 11(b,d), 14(a,b), 18, 20, 21, 29, 32

Due date: 4-13-18

Probably 40 minutes of work

REMINDER:  Your AP Practice Test #3 is due on Thursday, April 26th.


washer method notes

HWK disc method

Pg 465 -466

#1, 4,  8, 10, 11(a,c), 16, 19, 23, 25, 28, 31, 34, 38

Due Date:  4-10-18

Probably 45 min of work, you can use your calc to integrate

disc method notes

HWK Area between Curves

Pg 454-457

Just set up integrals but do integrals on calculator, but provide a sketch.

#2, 3, 6, 25, 28, 29, 30, 32, 33, 34, 36, 38, 41, 44, 48, 52, 54, 56,  #69 (Just do trapezoidal rule)

Probably 45 min of work

Due date: 4-3-18

Tuesday we return


area between curves notes

HWK on other expoenential and logarithmic derivatives

Worksheet 1-15

Due date:  3-27-18

probably 30-40 min of work


SATURDAY review session 3-24-18

8-10 A.M.

other exponential and logarithmic derivs

Wednesday into Thursday update

Still snowing hard my way.

If we are in tomorrow then the homework and take home test are due.  We will quiz Friday.

If we are out tomorrow check back Thursday evening for an update.

Go build a snowman!!  We did!!

Hwk derivative and integral of e^x

Pg 358-359

#12, 17, 37, 41, 48, 49, 52, 53, 57, 59,  62, 63, 65, 68, 69, 72, 83, 91, 100, 102, 107, 109, 110, 114, 115, 116, 121, 125, 126, 134, 139, 144, 146, 148

Probably 1 hour to 1 hour 10 min of work

Assignment will be worth 40 process points

Due Date: 3-21-18

Derivatives of expoential function notes

integrals of the exponential function

Integral of the form 1/x and 1/u

Pg 340-342

# 4, 6, 8, 11, 13, 17, 21, 24, 26, 32, 33, 34, 37, 39, 54, 55, 59, 69, 77, 90, 101, 103

Probably 40-50 min of work

Due Date: 3-15-18

integrals of 1/x and 1/u

HWK lnx and its derivative

Pg 331-333

#11, 14, 23, 26, 30, 32, 34, 42, 43, 50, 51, 55, 57, 59, 63, 66, 70, 71, 74, 76, 78a, 84, 95, 102, 103, 110

Probably 1 hour to 1 hour 15 min of work

Due Date:  3-13-18

lnx, ln u and their derivative notes



Reminders:

Last day to register for AP exams is Friday the ninth of March

Your Second Practice exam is due on the 16th of March next Friday.

HWK Accumulation function worksheet

front and back (2 problems)

probably 30 min work

Due date: 2-28-18

20 points

chart accumulation problems

accum functions where function is written as an integral

Hwk u-substitution

Pg 306-307

#11, 13, 18, 20, 21, 25, 28, 29, 30, 31, 32, 34, 37, 40, 48, 50, 53, 54, 55, 58, 67, 71, 75, 80, 83, 85, 96, 111, 112, 113, 114

Probaby 1 hour 15 min to 1 hour and a half

Due date:  2-26-18

u-sub notes

HWK MVTI, AVT, and FTOC 2

Pg 293-295

#48, 51, 52, 56, 59, 64a, 66, 81, 82, 87, 88, 89, 90, 91, 95, 107, 108, 109, 110

Probably 45 min to 1 hr of work

Due Date:  2-16-18 (Friday)

MVTI, AVT and FTOC 2 notes

FTOC HWK part 1

Pg 293-295

# 2, 4, 6, 8, 10, 11, 13, 15, 17, 18, 20, 23, 26, 27, 29, 33, 35, 38, 39, 43


Probably 45 minutes of work

Due Date:  Tuesday  2-13-18

 FTOC 1 notes

HWK integral notation, properties and geometric area

Pg 278-280

# 13, 14, 16, 18, 20, 22, 23-39 odd, 41, 43, 47, 51, 55

Probably 45-55 min of work

Due Date:  2-7-18 (Wednesday)

notes on integral properties and geometric area 

HWK Riemann sums

Riemann sum notes

Riemann sum hwk  :  Due date Monday, Probably 45 min of work 20 hwk points make sure you do entire sheet and book problems

Hwk Summation Notation

Pg 267-269

# 2, 3, 6, 8, 10, 18, 20, 21, 39, 49, 51


Due Date: 1-26-18

20 hwk points

Don't forget to be working on your long term projects:(Benchmark Review, Take Home Test chpt 3, AP Practice Test)