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### Homework Assignments

AP Calculus

Week 35-36

No school Monday: Memorial Day

Final Exam scheduled for Wednesday, June 5 for Period 4, 9:30. Non-seniors 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.

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AP Calculus

Week 33-34

Calculus-Food Event: May 20-21. Details to follow

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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. Catch-up. 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.

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AP Calculus

Weeks 30-31

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 Catch-up 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.

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AP Calculus

Weeks 28-29

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 in-class work time if time permits. Catch-up 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 cross-sections with physical objects; extend concept of “area of face X thickness of slice” to cross-sections. Study for quiz. Note: the quiz will involve mostly set-ups. Be prepared to compute intersections and approximate areas and volumes using your graphing calculator. Wednesday 3/20/13  1B Quiz: 7.1-7.2 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, 67-73odd Thursday 3/21/13 1C (Band-Disney) 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 in-class work time due to high absence rate. Continue Friday 3/22/13 1 D (Band-Disney) 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 set-up 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: 7.1-7.2 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.

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AP Calcuus

Week 27

 Date Lesson Objectives Homework Monday 3/11/13 1 B Day Take-home 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, 41-55 odd, #65(trap. rule only), 71, 77(AP!), 88,90-92(T,F) AP slope field problem due. Be sure you have read p. 417 (Newton's Law of Cooling) and p. 427-28 (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=x2[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. 446-451 with special emphasis on p.450-451. Page 463 # 1-9 odd Wednesday 3/13/13 Special D Jr/Sr Reconciliation Extra Help 3p.m. 7.2 (cont.) Continue Page 463 # 11,15-21odd,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. 459-460 examples. Catch-up. 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 7.1-7.2. Wednesday 3/20 with help 3/19

Test: Area and Volumes  Thursday 3/28. Help Tuesday 3/26.

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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. Catch-up from last week; read notes from today’s class as well as p. 406-7 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 hand-in 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 x2 + y2 = r2 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 . Catch-up with in-class work period.(High absence related to play) Complete any objectives not yet covered even if absence is high. Catch-up! 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 #1-7odd, 13, 17-23 odd.

Test: Slope Fields and Differential Equations Friday 3/15  Extra Help Wednesday 3/13

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AP Calculus

Week 25

 Date Lesson Objectives Homework Monday 2/25/13 E Day 5.6-5.7 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 # 1-9odd, 15,19,23,25,31,33,37-47odd Tuesday 2/26/13 2F 5.6-5.7 questions; continue 6.3 Separation of Variables Answer questions for quiz. Complete any objectives from Monday. Study for quiz. Page 429 #1-23 odd Wednesday 2/27/13 A Day Moody’s Meeting  3 p.m. Quick quiz 5.6-5.7 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 #27-31 all  on loose leaf. Hand-in 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 hand-in due tomorrow. Do some of the following as time permits: Page 418  IN THIS ORDER (trust me) #21,23, 11,13, 1-9 odd. Friday 3/1/13 C Day Liturgy Junior Prom: 12:30 dismissal Hand-in due. Complete 6.2 as needed. Catch up in general. Complete all required topics from 6.1-6.3; 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!!!!

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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#41-59 odd,61,71,75,89. Hand-in 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 5.1-5.5 Determine students’ understanding of integrations and differentiations involving exponential and logarithmic functions. Memorize 5.6-7 formulas. Two day assignment: Do Ex. 1-5 of 5.7. Do page 385 #1-41 every other odd and #43 for skill practice, more if needed; page 385 # 47-52 all,67,75-78(FF). Hand-in #82 Monday. Thursday 2/21/13 C Day Spartan Spirit Uniform Color Quiz: Memorized formulas from 5.6-5.7 Hand-in due. Complete 5.7 Determine students’ knowledge of 5.6-7 formulas. Continue Tuesday’s objectives. Answer student questions from 5.6-7 or provide some in-class 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!! Catch-up with 5.6-5.7   Page 409 # 1-9odd, 15,19,23,25,31,33,37-47odd

Quiz  (short) 5.6-5.7 Wednesday 2/27

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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 Hand-in 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 #51,53,57-61odd,67-73odd,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.) Catch-up day. Complete any objectives listed above. Go over take-home quiz. Answer student questions. Allow some in-class work time as time permits. FOOD DRIVE DONATION. Complete 5.4 work. Review inverse tri functions by Thursday (See p.371-373 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 #1-35odd as needed; #37-47odd,51-71odd Read 5.5. Do page 366 #78,91,93(d is important!),101-106(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 5.1-5-5 (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#9,11,15-23odd,31,39-59odd,65-73odd and 2nd Fundamental Theorem types.