AP Calculus AB

Teacher: 
Michael Schroers
Department: 
STEM (Science, Technology, Engineering, Math)
Assignments: 
Binder Check

Binder check - need a 1 inch binder for assessments and CPRs (Continual Progress Reports).  Binders will be kept in class and are required to retake assessments throughout the quarter.  Students must demostrate that they are tracking their own progress.  

 

The signature page of the syllabus is also due.   

Due Date: 
Mon, 09/14/2015
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Estimating the value of the derivative with a table

Read "2.1 Tangent Lines and Velocity" from the handout given in class, then complete questions 2-4 (draw the tangent line), 7-10.

Due Date: 
Mon, 09/14/2015
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Weekly Assessment 1.1

Weekly Assessment 1.1 is this Friday, 9/18.  It will cover the topics discussed in class thus far, including radical and exponential expressions (summer assignment).  Refer to class notes, practice work, and CPRs to prepare.  

 

If you need more practice with radical & exponential expressions complete the practice work from the handout started in class (intervention/acceleration).  

Questions: 15,17,18,19-24, and 29-34.  

 

Due Date: 
Wed, 09/16/2015
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Applying rules to find the derivative

Handout 1.3 (side B): 7-12 [don't follow the directions, just find the derivative for each], 28,29

Handout 1.3 (side A):  5-10  

Due Date: 
Fri, 09/18/2015
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Derivative Rules

Handout "Practice 1.4" side A:  9-20

 

View powerpoint presentation on the Product & Quotient Rules from this LINK.

If you do not have powerpoint, the presentation can be download as a PDF.  The PDF is at the beginning of the website (scroll up).  

Complete 3,4,7,8 from the "Practice 1.4 side B" handout

 

 

 

Due Date: 
Tue, 09/22/2015
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Position, Velocity, & Acceleration

Watch the YouTube video on position, velocity, and acceleration - LINK

Handout "Practice 1.5":  13,20,21,22 [odd answers on the back page]

 

Be ready for Weekly Assessment 1.2 this Friday, Sept 25th.  It will cover the learning targets from Weekly Assessment 1.1 and include finding the derivative of more complex functions.  Be sure to practice with the product and quotient properties.  It will also cover physics topics covered in class and address on the practice work.   

Due Date: 
Fri, 09/25/2015
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Position, Velocity, Acceleration

Handout: 1.5:  add to the previous assignment - 14,15,23, 24

 

Graphing Calculator Resource LINKS: 

Solving a quadratic equation (it also work for other equations) 

Finding local maximum and minimum 

Due Date: 
Tue, 09/29/2015
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Position, Velocity, Accerlation

Handout "Position, Velocity, and Acceraton" multiple choice:  Complete all the multiple choice questions: 1-8 (p. 84-85) and 1-4 (p.87-88)

Due Date: 
Wed, 09/30/2015
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Weekly Assessment #3 & Summative #1

Weekly Assessment #3 is on Friday, Oct. 2.  

Summative #1 is on Tuesday, Oct. 6th covering all the learning targets except:

"LT 1.5 Use the chain rule and trigonometric derivative rules to determine the derivative of a function"

We will cover this learning target next unit.  

Due Date: 
Fri, 10/02/2015
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Graphing Angles in Radian Measure

Graph the following angles in a coordinate plane and determine the reference angle.  Be able to identify with quadrant the terminal side falls in and able to write its reference angle.  I found a YouTube video which might help - LINK 

11pi/4,   5pi/4,   -3pi/2 , 3pi,  -23pi/6 , 11pi/6, -19pi/3 , 5pi/6 , 4pi , -10pi/3  (10 angles)  

 

Study for Summative #1.  Use the track, past assessments, and past practice work to help prepare.  Binders and past practice work (HW) are due on Tuesday, Oct. 6 as well.  

Due Date: 
Tue, 10/06/2015
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Evaluating Trigonometric Functions

Complete handout 1.7: 38-46

Summative #1 has been rescheduled to Friday, Oct 9th.  

Study for Summative #1.  Use the tracker, past assessments, and past practice work to help prepare.  Binders and past practice work (HW) are due on Friday, Oct. 9 as well.  

Due Date: 
Fri, 10/09/2015
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Weekly Assessment 2.1

Weekly Assessment 2.1 will be on Friday, Oct. 16th.  For the assessment: 

1.  Memorize the derivaitve rules for sin x, cos x, tan x, csc x, sec x, cot x.  In addition to the trigonometric functions, memorize the rules for the product and quotient rules.

2. Evalauate trigonometric functions

3.  Handout 2.1:  3, 10, 11, 15, 30 

 

 

Due Date: 
Fri, 10/16/2015
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Sketching the Derivative of a Functin

-Practice sketching the graphs from the website linked below. 

LINK

-On handout 2.1:  complete: 3, 9, 10, 11, 12, 13, 14, 15, 16, 19, 22, 23, 30

Due Date: 
Tue, 10/20/2015
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Chain Rule

Handout: 2.3:  1-13all 

Due Date: 
Fri, 10/23/2015
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Implicit Differentiation
Due Date: 
Thu, 10/29/2015
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Implicit Differentiation - part II

1.  Click on the links below and go through the 2 examples on the board and watch the two videos.  FYI, in the video dy/dx is the same as y' (y prime).  

Example 1

Example 2

Video 1

Video 2

 

2.   Complete 11-16 on handout 2.6

Due Date: 
Tue, 11/03/2015
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Finding the Derivative of Exponential & Logarithmic functions
Due Date: 
Thu, 11/05/2015
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Equation of the Tangent LIne

Handout 2.9: 9-14

If your having trouble with finding the equation of the tangent line, try this video.  

 

Due Date: 
Tue, 11/10/2015
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Summative 2

Summative 2 is Tuesday, Nov. 10th.  Use your tracker, Weekly Assessments, practice work, and notes to prepare 

More derivative practice:  33-44

 

Due Date: 
Tue, 11/10/2015
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LT 3.1 - Absolute extrema

handout 3.1 (side b): 11-15, use a calculator to evaluate the functions if needed.  

Due Date: 
Wed, 11/18/2015
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Summative 1 Retake is Closing

The last change to retake summative 1 is this week.   

Due Date: 
Fri, 11/20/2015
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Weekly Assessment 3.1

Weekly Assessment 3.1 is next Monday, Nov. 23 on topics covered in unit 3.  

Due Date: 
Mon, 11/23/2015
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LT 3.2: Local Extrema

Here is a video to help with finding the local extrema using the derivative.  

Due Date: 
Tue, 12/01/2015
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LT 3.2: Local Extrema with non polynomials

Here is another video to find local extrema (min and max) with non polynomial functions.  

Due Date: 
Wed, 12/02/2015
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LT 3.2: Local Extrema

Weekly assessment 3.2 is Friday, Dec. 4 covering LT 3.1 and LT 3.2

Practice: 

handout 3.4 (side B): 9-14 & watch the vidoes if you are struggling.    

 

Due Date: 
Fri, 12/04/2015
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LT 3.2: Concavity
Due Date: 
Tue, 12/08/2015
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LT 3.5 Optimization

Practice:  Handout 3.5: 2-5

Check your your answers here.  

 

Video:  1 optimization

Video: 2 optimization

Weekly Assessment 3.3 is Friday, Dec 11th covering LT 3.2 and LT 3.5.

Due Date: 
Fri, 12/11/2015
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LT 3.5 Optimization

Complete examples 1-4, 6 at this Link.  Worked out answers are provided.  

Be ready for Summative 3 next Friday, Dec. 18th.  

Due Date: 
Tue, 12/15/2015
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LT 3.3 Mean Value Theorem

Video: Mean Value Theorem 

Handout 3.6: 39-44

Due Date: 
Wed, 12/16/2015
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LT 4,1 Relative Rates

Hanout 4.1: 2,3 

Handout 4.2: 1-3

Watch this video

Due Date: 
Fri, 01/08/2016
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LT 4.1 Relative Rates

Handout 4.2:  19c

Handout 4.1:  4,6,8  Here is a link to the handout with the answers worked out

Due Date: 
Tue, 01/12/2016
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LT 4.2 Evaluate Inverse Function

Handout 4.3 (side B): 28, 29 & Look over in class examples of inverse trigonmentric function 

Due Date: 
Fri, 01/15/2016
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LT 4.3 Differentiate Inverse Trig. Function

handout 4.3 (side B): 1-8

  

Due Date: 
Tue, 01/19/2016
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L.T 4.5 Linearization

Watch these two videos and try the practice problems on Khan's website

Handout 4.4: 1-4 (not the writing exercises) 

 

Due Date: 
Wed, 01/20/2016
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LT 4.5 Linearization

handout 4.4:  1,3,5,13,19

Another video that might help with number 13.  

Summative 4 is on Friday, Jan. 22 covering LT 4.1 to LT 4.5

Due Date: 
Fri, 01/22/2016
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Final Exam Reveiw

Finish taking notes here

 

Handout FR#3:  1-5, 8-13, 16-34

Due Date: 
Fri, 01/29/2016
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Final Exam Reveiw

Finish taking notes here

 

Handout FR#3:  1-5, 8-13, 16-34

Due Date: 
Fri, 01/29/2016
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Final Exam Review

The final exam for semester 1 is Tuesday, Feb. 2nd.  

Practice: 

-Handout FR 4:  3,5,9,13 (answers are on the back) 

-Handout FR 5: 

Free Response on the back- 5,6 (optimization) 

Multiple choice - 1-5, 10-15

Answers: 1) A 2) C 3) A 4) E 5) B 10) D 11) C 12) D 13) D 14) C 15) B 

-Review and memorize all the derivative rules.

-Review and practice problems on summatives 1 to 4.  

Due Date: 
Tue, 02/02/2016
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2nd Semester

Second Semester

Unit 5:  Introduction to Integration

Due Date: 
Fri, 02/05/2016
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LT 5.1 Riemann Sums

Watch this video on midpoint and trapziodal rules.  

Handout 5.3:  9-19odd

Due Date: 
Thu, 02/11/2016
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LT 5.3 Fundamental Theorem of Calculus

Watch this video explaining the Fundamental Theorem of Calculus

 

Practice - handout 5.4 (side A) 1-10

Due Date: 
Wed, 02/17/2016
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LT 5.5 Anti-derivative Using Substitution

Watch these videos if you are having trouble integrating using substitution: video 1, video 2, and video 3

Complete 1-7 at this link.  You can check your answers and find worked out solutions if you are having trouble.  

Due Date: 
Fri, 02/19/2016
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5.4 Trapezoidal Rule

Watch this video on the trapeziodal rule.

Practice: 

handout 5.6: 3,5,7,11.  Check your answers on the back.  

Correct Weekly Assessment #1

Finish the past assignments with integration.  

 Summative #5 is next Friday, Feb. 26th.  

Due Date: 
Tue, 02/23/2016
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LT 5.3 Fundamental Theorem of Calculus

Handout 5.7:  1, 3 31-36

Summative 5 is Friday, Feb. 26th covering learning targent 5.1 to 5.6.  

Complete the past hw and review the derivative rule list to prepare for the Summative 

Due Date: 
Tue, 02/23/2016
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LT 6.1: Area between curves

If you are having trouble with finding the area between curves watch this video(1).  

Complete handout 6.1: 15-17 without a calculator

Watch another video(2) with more curves

Due Date: 
Wed, 03/02/2016
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6.1 Area Between Curves

Video on finding area between curves with repect to y.

Practice Handout 6.1:  16,22,23,24

Due Date: 
Tue, 03/08/2016
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LT 6.2 Volume - Cross Sections

Handout 6.3: 

41-44 - Write an integral expression and evaluate with your calculator for these cross sections:  (a) square (b) circle (c) semi-circle and (d) isosceles right triangles.  

Due Date: 
Fri, 03/11/2016
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LT 6.3: Volume by Rotations (Disc & Washer Metod)

Videos:

Video 1 Disc Method

Video 2 Washer Method

Handout 6.4:  1-5, 11-14 (part A only)

Due Date: 
Tue, 03/15/2016
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LT 6.4 Washer Method

Video:  Washer Method around the non-axis

Handout 6.4: 11bcd, 12acd, 13b, 14b

Due Date: 
Thu, 03/24/2016
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Summative - Area & Volume

Practice for the summative tomorrow, March 23rd.  Practice and check your answers for the following FRQs 

2014 #2

2013 #5

2010 #4

2009 #4

2007 #1

2006#1

Due Date: 
Wed, 03/23/2016
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Integral Practice

Practice: 

Handout "Integral Practice":1-18

Due Date: 
Mon, 03/28/2016
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Friday's Class work - AP TEST REVIEW

Handout: Integral Practice #2 (Multiple Choice):  1-20. Check your work!  1) b 2) a 3) b 4) a 5) d 6) c 7) c 8) c 9) a 10) e 11) a 12) b 13) d 14) a 15) c 16) c 17) b 18) a 19) c 20) a

Handout "Section 1-part A" (multiple choice):  2-4, 6, 9-25 Check your work!  2) c 3) c 4) e 6) a 9) d 10) e 11) c 12) c 13) a 14) c 15) b 16) e 17) c 18) e 19) a 20) b 21) a 22) c  23) a 24) e 25) a 

Handout: Unit 7: FRQ#1:  2013 #6  Check your work!

Due Date: 
Mon, 04/04/2016
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LT 7.2 FTC part 2

handout  7.3 (side B):  94-98

Complete the multiple choice also

Due Date: 
Thu, 04/07/2016
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AP REVIEW

Handout "AP Calculus AB Practice TEST 1" (multiple choice):  Check your work! 1) b 2) a 3) d 4) b 5) e 6) b 7) d 8) a 9) c 10) b 11) a 12) e 13) b 14) d 15) c 16) c 17) c 18) d 19) e  20) d  21) e 22) e 23) d 24) e 25) b 26)  27)  28)  

Due Date: 
Mon, 04/11/2016
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AP REVIEW

Wednesday, April 13th from 3:30p to 4:40p:  AP Prectice and Review

Friday, April 15th from 12:30p to 3:30p:   Mock AP Exam.  Snacks will be provided.  

Due Date: 
Fri, 04/15/2016
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Weekly Assessment

There is a weekly assessment on Wednesday, April 13th covering the Fundamental Thm of Calculus.  

Complete parts a, b, and c on the handout given in class "Fundamental Theorem of Calculus FRQs".  Check your answers using the links below.  

2014#32010#5, 2012#32011#4

Due Date: 
Wed, 04/13/2016
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AP REVIEW

handout:  "Section 1, Part B:  Multiple-Choice Questions"

29) E 30)  A 31)  D  32)  E  33) A  34) A  35)  B  36) A   37)  E  38) A   39) B   40)  C   41) B   42) C  43) C  44) C  45)  C

 

Due Date: 
Fri, 04/15/2016
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AP REVIEW

Handout "Derivative Practice": 

1)  B 2) A 3) B  4) A 5) C  6) D  7) A 8) E 9) D 10) A 11) D 12) D 13) B 14) A 15) D 16) B 17) B 18) C 19) A 20) D 21) C 22) B 23) A 24) B  25) D  26) C 27) A  

 

Due Date: 
Fri, 04/15/2016
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After School AP Review

There is AP Review this week after school from 3:30p to 4:30p on Monday, Wedensday, and Friday.  

Due Date: 
Fri, 04/29/2016
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AP REVIEW

1) handout "Review MC Derivative & its Applications": 1-20 (p.94-95) & FRQ #2 (p.123)

Answers: 1) B 2) A 3) B 4) A 5) C 6) D 7) A 8) E 8) D 9) D 10) A 11) D 12) D 13) B 14) A 15) D 16) B 17) B 18) C 19) A 20) D

2) Complete the previous handouts for AP REVIEW

3) Answer for the FRQ 2013

Due Date: 
Fri, 04/29/2016
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AP REVIEW

If you took the "mock" practice exam before break, continue reviewing and correcting.  Work toward increasing the number of points needed for your desired score.

Continuing working on the practice MC questions from class:

handout " Integral and its Applications" :  p.153-154: 1) B 2) A 3) B 4) D 6) E 7) B 8) B 9) B  ; p.156: 1) D 2) B  3) C ; p.148: 1)  C 2) A  3) D

FRQs with links to answes:  2015 #5 ,  2008 #2,  2010(formB) #4,5

Due Date: 
Mon, 05/02/2016
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AP Calculus EXAM

The AP Calculus exam is this week Thursday, May 5th at 8:00am in the small gym.  Plan on arrive at Brooks at least 30 minutes early (7:30) to get settled.  Don't forget your GRAPHING CALCULATOR, it's required for the exam.  

*****AP Review Sessions this week******

Monday, May 2nd:  3:30 to 4:30

Wednesday, May 4th:  12:30p (after seminar) 

Due Date: 
Thu, 05/05/2016
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PBL - Weekly Assessment

There is a weekly assessment Wednesday, May 25th covering regression models using both the graphing calculator and google "Sheets".  

Due Date: 
Wed, 05/25/2016
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Presentations (PBL)

Presentation & Flier are due June 10th.  For more details on the presentation and flier follow this link.  

Due Date: 
Fri, 06/10/2016
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Presentation & Flier (PBL unit)

** Fliers must be completed, in your groups's folder, and ready to print by:  Wedneday, June 8th at 8:00am.  

** Presentations are Friday, June 10th during class period.  Follow this link to the presentation and flier rubric.  Be ready to present to other students and teachers outisde of the classroom.  

Due Date: 
Wed, 06/08/2016
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AP Calculus AB