AP Calculus Lesson Plans
Week of April 21 – 25
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Friday |
Discuss quiz and homework. Quiz on AP free response problem. Assignment: Study for AP test. Hw 57: AP ’03 free response, # 1 – 3. |
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Thursday |
Discuss test and homework. Quiz on AP free response problem. Assignment: Study for AP test. Hw 56: AP ’06 free response, # 3 – 4. |
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Wednesday |
Test on chapters 8 – 10. Assignment: Study for AP test. Hw 55: AP ’06 free response, #1 – 2. |
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Tuesday |
Discuss quiz. Assignment: Study for AP test. Study Gray Book review beginning at page 215. Hw 54: AP ’02 free response, #4 – 6. |
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Monday |
Snow Day |
Week of April 14 – 18
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Friday |
No class. |
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Thursday |
Quiz on chapters 8 – 10. Assignment: Study for AP test. Study Gray Book review beginning at page xxx. |
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Wednesday |
Discuss homework. Review for test on chapters 8 – 10. Assignment: Study for test. Hw 53: ex. 10.3/ 1 – 4. (Work in class) |
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Tuesday |
Discuss homework. Quiz. Assignment: Study for test on ch. 8 – 10. Hw 52: Calculator lab # 5. |
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Monday |
Discuss homework. Quiz. Assignment: Study for test on chapters 8 – 10, including exponential growth and decay on pages 600 – 605. Hw 51: ex. 9.7/ 1,3,19 with Trapezoidal rule only, ex. 9.8/ 4,6,14 and ex. 10.3/ 5,7. |
Week of April 7 – 11
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Friday |
Review and discuss homework. Assignment: Hw 50: ex. 9.2/ 13,17, ex. 9.3/ 11,19,29 and ex. 9.4/ 5,11,17. |
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Thursday |
Introduce shell method for finding volumes of solids. Review for test on chapters 8 through 10 (sections covered). Assignment: Hw 49: ex. 8.2/ 33,48, ex. 8.3/ 1,3,4, 11 and S.E./ 22,23 using trapezoidal method to solve. |
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Wednesday |
Discuss slope fields of differential equations and work practice problems. Assignment: Hw 48: Gray Book: Exam III, 1-3 free response. |
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Tuesday |
Quiz. Discuss Euler’s method for approximating solutions to differential equations. Assignment: Hw 47: ex.10.1/ 41 and ex. 10.2/ 1,3,4,5,11(use 0.4 step). |
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Monday |
Quiz. Introduce separable variable differential equations and work practice problems. Assignment: Hw 46: ex. 10.1/ 5,7,9,11,13,15. |
Week of March 31 - April 4
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Friday |
Review for test on chapter 9 with emphasis on volumes. Assignment: Hw 45: AP 2002 f.r. 3 – 5. |
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Thursday |
Quiz. Discuss improper integrals. Work problems. Assignment: Hw 44: ex. 9.7/ 22,38 and ex. 9.8/ 24,27,29,41,44,45. |
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Wednesday |
Quiz. Discuss quiz. Introduce improper integrals. Assignment: Hw 43: ex. 9.8/ 3,5,9, 11,12,16,20,22. |
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Tuesday |
Review trig substitutions and demonstrate technique. Discuss homework. Assignment: Hw 42: Gray Book/ SE VI, free response 1 – 3. |
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Monday |
Discuss quiz and homework. Introduce the trapezoidal method for approximating the definite integral of a function. Assignment: Hw 41: ex.9.7/ 2,4,6 (Riemann midpoint and trapezoidal methods only. You may use the calculator to do the midpoint), and 20,24,35,36,37. |
Week of March 24 – 28
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Friday |
Discuss homework. Discuss trig substitutions to solve certain types of integrals. Assignment: Hw 40: ex. 9.4/ 1 – 4, 7,8 and AP problem S. E. VIII, #6 free response. |
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Thursday |
Discuss homework and quiz. Discuss trig integrals and table 9.3.1. Assignment: Hw 39: ex. 9.3/ 1,3,5,6,7,10,21,22. |
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Wednesday |
Discuss homework. Quiz. Assignment: Hw 38: ex. 9.2/ 22,41,43,44,45. |
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Tuesday |
Discuss test. Explain integration by parts. Work practice problems. Assignment: Hw 37: ex. 9.2/ 8,9,11,15,16,19,21,26. |
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Monday |
Spring Break |
Week of March 10 – 14
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Friday |
Test on chapters 7 and 8. Assignment: Study 9.1 and 9.2. Assignment: Hw 36: ex.9.1/ 1,3,5,9,15,19 and ex. 9.2/ 1.2.3.4. |
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Thursday |
Discuss quiz. Review for test on chapters 7 and 8. Assignment: Study for test. |
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Wednesday |
Quiz on 8.1 & 8.2. Assignment: Hw 35: Gray book/ Sample Exam I: 11(p 5), 20(p 9) and 5(p 32). |
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Tuesday |
Discuss homework. Review for quiz on 8.1 and 8.2. Assignment: Hw 34: AP problem |
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Monday |
Discuss homework and review for quiz on chapter 8.1 and 8.2. Assignment: Hw 33: AP problem ’96, #2 and 5. |
Week of March 3 – 7
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Friday |
Discuss homework and quiz. Demonstrate method and work problems. Assignment: Hw 32: 15,17,22,24,25,29,30,34. |
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Thursday |
Sr. Trip |
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Wednesday |
Sr. Trip |
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Tuesday |
Sr. Trip |
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Monday |
Sr. Trip |
Week of February 25 – 29
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Friday |
Discuss hw. AP quiz. Assignment: Hw 31: ex. 8.2/ 31,32,33,35,39,41. |
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Thursday |
Discuss test. Discuss volumes by disk method and by cross section method. Work practice problems. Assignment: Hw 30: ex. 8.2/ 8,9,11,14,20,25,27,28. |
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Wednesday |
Test on chapter 7. Assignment: Study 8.2. Hw 29: ex. 8.2/ 1—4, 6. |
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Tuesday |
Review for test on tomorrow. Answer questions on problems. Assignment: Review for test. Hw 28: ex. 8.1/ 21,25,26,29,30,33. |
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Monday |
Discuss quiz and homework. Discuss test. Assignment: Review for chapter 7 test. Hw 27: Handout AP multiple choice problems. |
Week of February 18 - 22
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Friday |
Discuss quizzes. Review for test on chapter 7. Introduce chapter 8. Assignment: Review for test on Monday. Hw 26: ex. 8.1/ 1-5,9,13,14,19,25. |
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Thursday |
Quiz on ch.7, paragraphs 6 – 9. Assignment: Review for chapter 7 test. |
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Wednesday |
Review chapter 7. Discuss homework and 7 big theorems. Quiz – AP mc. Assignment: Hw 25: Sup. ex./ 29,30,31,34 and SEI-sect.IIB/ 3,4. |
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Tuesday |
Review chapter 7. Discuss homework. Assignment: Hw 24: ex. 7.9/ 39 and Sup. ex./ 1,2,3,5,8 a&b, 12,16. |
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Monday |
No School – President’s Day |
Week of February 11 - 15
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Friday |
No School |
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Thursday |
AP multiple choice quiz. Discuss homework. Assignment: Hw 23: ex. 7.9/ 21,23, 30,31,35,37. |
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Wednesday |
Review and discuss homework. Assignment: Hw 22: ex.7.9/ 10 – 12, 15 – 17. |
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Tuesday |
Discuss integrals of logarithmic functions. Work practice problem. Assignment: Hw 21: ex.7.8/ 45,46 and ex.7.9/ 1 – 4,6 – 9. |
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Monday |
Review rectilinear motion and work on homework. Assignment: Hw 20: SEI SectionIIA/ 1,2 (AP free response problems) |
Week of February 4 – 8
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Friday |
Quiz on paragraphs 7.1 – 7.6. Assignment: Hw 19: ex. 7.8/ 1,5,10,11,15,18, 21,23,25,42. |
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Thursday |
Discuss solving definite integrals using substitution and work problem. Quiz. Assignment: Hw 18: ex. 7.7/ 36,39,40,48,56,58,59,61. |
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Wednesday |
Discuss rectilinear motion (position, velocity, acceleration) and demonstrate graphs. Present the mean value theorem (MVT) for integrals. Assignment: Hw 17: ex. 7.7/ 12,16,20,26,29,30,32,33. |
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Tuesday |
Introduce rectilinear motion with integrals. Review for quiz on paragraphs 7.1, 7.2, 7.3, 7.5 and 7.6. Assignment: Hw 16: ex. 7.7/ 1,2,3,5,6,7,8,10. |
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Monday |
Discuss the theorems in paragraph 7.5, especially the MVT of integrals, the integration of piecewise theorems and the Fundamental Theorem of Calculus. Quiz. Assignment: Hw15: ex. 7.6/ 37,39,40,44,45,48, and SE1A/ 8 - 11. |
Week of January 28 – February 1
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Friday |
Discuss the Riemann Integral and a calculator program to solve for area using it. Assignment: Hw14: ex. 7.6/ 8,11,15,16,27,29,31,32,33,36. |
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Thursday |
Introduce the Fundamental Theorem of Calculus. Discuss the theorem relative to definite and indefinite integrals. Quiz. Assignment: Hw13: ex. 7.5/ 37,38,39,45,48 and ex. 7.6/ 1,2,7. |
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Wednesday |
Define Riemann Integration and work example problem. Assignment: Hw12: ex. 7.5/ 22,25,28,31,34,38. |
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Tuesday |
Introduce definite integrals. Discuss homework. Assignment: Hw11: ex. 7.5/ 7,8, 12,14,15,21. |
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Monday |
Discuss homework. Assignment: Hw10: ex. 7.3/ 5,9,16,20,45 and ex. 7.5/ 1,3,4. |
Week of January 21 - 25
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Friday |
Introduce integration by substitution and work practice problems. Quiz. Assignment: Hw9: ex. 7.2/ 43,46,49 and ex. 7.3/ 1,7,10. |
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Thursday |
Introduce differential equations, integral curves and direction fields. Quiz. Assignment: Hw8: ex. 7.2/ 36,37,41,42,43,45. |
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Wednesday |
Discuss integrals—rectangle method and antiderivative method. Assignment: Hw7: ex. 7.2/ 1,4,5,8,9,13,16,33. |
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Tuesday |
Test on chapter 6. Assignment: Hw6: ex 7.1/ 3,2,4,6,10. |
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Monday |
MLK day |
Week of January 14 - 18
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Friday |
Review for test. Discuss homework and practice problems. Assignment: Hw5: SE/ 9,10,12,13,15,16,17,18,19a,21. |
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Thursday |
Review for test. Quiz. Discuss homework and practice problems. Assignment: Hw4: ex 6.5/ 25,27,37,38,39 and SE/ 4,6,7. |
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Wednesday |
Describe the constant difference theorem. Review for chapter 6 test. Discuss homework. Assignment: Hw 3: ex 6.5/ 9,10,11,16,17,18,23,24. |
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Tuesday |
Present Rolle’s Theorem and the Mean Value Theorem (MVT) and discuss applications. Assignment: Study 6.5. Hw 2: ex. 6.4/ 9,11,14,21,27 and ex. 6.5/1,2. |
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Monday |
Present |
^---3rd
Quarter---^
Week of December 10 – 14
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Friday |
Review for exam. Assignment: Study problems from each chapter and all past tests. Some suggested problems from chapter supplemental exercises: ch.1, # 2,7,8; ch. 2, # 1,12,14; ch. 3, # 9,27,29,35; ch. 4, # 5,7,11,16; ch. 5, # 9,13,19,29. |
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Thursday |
Chapter 6 test. |
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Wednesday |
Review for test. |
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Tuesday |
AP free response problems for quiz. Assignment: Study chapter 5 and 6.1 – 6.3 for test. Hw68: ex. 6.1/ 11,14,31, 6.2/ 34,41 and sup. ex./ 13. |
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Monday |
AP free response problems for quiz. Assignment: Study chapter 6.1 – 6.3 for test. Hw67: ex. 6.2/ 43,56 and ex. 6.3/ 19,21,24,25,27. |
Week of December 3 – 7
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Friday |
Discuss rectilinear motion graphs and their analysis. Assignment: Study chapter 6.1 – 6.3 for test. Hw66: ex. 6.3/ 5,7,9,11,14,15. |
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Thursday |
Discuss quiz and analyze errors. Discuss rectilinear motion. Assignment: Study 6.3. Hw 65: ex.6.2/ 45,52 and ex.6.3/ 1 – 4. |
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Wednesday |
AP free response problem for quiz. Assignment: Study 6.3. Hw 65: ex.6.2/ 33,36,41,43 and ex.6.3/ 1-4. |
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Tuesday |
Discuss test and homework. Present max and min application problems and work examples. Assignment: Study 6.2. Hw 64: ex.6.2/ 1,5,10,11,15,20,27,30. |
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Monday |
Test on chapter 5 test. Assignment: Study 6.1. Hw 63: ex.6.1/ 6,9,13,15,22, 35,36,45. |
Week of November 26 – 30
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Friday |
Discuss homework. Discuss absolute maxima and minima of functions. Review for test. Assignment: Study 6.1. Hw62: ex. 6.1/ 1 – 5. |
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Thursday |
Discuss homework. Review for test on chapter 5. Introduce chapter 6. Assignment: Study supplemental exercises for chapter 5 test. Complete chapter 5 late homework. Hw61: sup.ex./ 9,17,21. |
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Wednesday |
Discuss homework and quiz. Assignment: Study for chapter 5 test. Hw60: Handout practice test. |
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Tuesday |
Discuss homework. AP mc quiz. Assignment: Study for ch. 5 test. Hw59: ex. 5.2/ 23,27,29,33 and AP handout sheet. |
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Monday |
Discuss test. Discuss relative extremes and concavity from AP point of view. Demonstrate justification requirements for AP test. Assignment: Study 5.1 and 5.2 Hw58: ex.5.1/ 10,13,15,18,19 and ex.5.2/ 8,10,11,16,17. |
Week of November 19 – 23
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Friday |
Holiday, be thankful. |
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Thursday |
Holiday, be thankful. |
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Wednesday |
Holiday, be thankful. |
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Tuesday |
Part II of chapter 4test. Discuss 1st and 2nd derivative tests and methods of using them to find relative extremes and inflection points. Assignment: Study 5.3. Hw57: ex.5.2/ 9,13,14,15,30,31,34,37,49,53. (Complete before 11/22.) |
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Monday |
Review test. Discuss techniques for analyzing functions including increasing, decreasing and concavity of graphs of functions. Discuss the first and second derivative tests for finding relative extremes. Assignment: Study 5.1 and 5.2. Hw56: ex.5.1/ 22,24,26,53,54 and 5.2/ 2,3,4. |
Week of November 12 – 16
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Friday |
Test on chapter 4. Assignment: Study 5.1. Hw55: ex.5.1/ 3,4,8,9,11,17,21,23. |
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Thursday |
Review for chapter 4 test and work problems. Assignment: Review for test on chapter 4. |
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Wednesday |
A.P. mc quiz. Review for chapter 4 test and work problems. Assignment: Review for test on chapter 4. Hw54: ex. 5.1/ 2,3,5,6,7. |
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Tuesday |
A.P. mc quiz. Review for chapter 4 test and work problems. Assignment: Review for test on chapter 4. Hw53: ex.4.6/ 33,43 and 4.7/ 8,16,50 and Sup.ex./ 1,6,7,10,11. |
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Monday |
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Week of November 5 – 9
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Friday |
Discuss quiz and homework. Assignment: Review for test on chapter 4. Hw52: ex. 4.6/ 25,26,28,35,36 and ex. 4.7/ 13,27,51. |
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Thursday |
Quiz on functions and derivatives. Discuss homework. Assignment: Review for test on chapter 4. Hw51: ex.4.6/ 15,16,49,21,22,29,37,42. |
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Wednesday |
Discuss homework. Present some interesting functions that benefit from application of L’Hopital’s rule. Assignment: Study for quiz and 4.6. Hw50: ex.4.6/10,11,12,14 and ex. 4.7/ 1,2. |
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Tuesday |
Discuss homework. Discuss indeterminate forms and L’Hopital’s rule for finding derivatives of indeterminate forms. Quiz. Assignment: Study 4.6 and 4.7. Hw49: ex.4.5/ 19,29,37,39,42 and ex. 4.6/ 1,2,4,6,9. |
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Monday |
Discuss AP quiz. Demonstrate derivation of inverse trig derivatives. Discuss related rates and work example problems. Assignment: Study 4.5 and 4.6. Hw48: ex.4.5/ 11,13,16, 21,22,23,26,27. |
Week of October 29 – November 2
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Friday |
Discuss homework. AP Quiz. Discuss related rate problems. Assignment: Study 4.6. Hw47: ex. 4.4/ 62,64,65 and ex. 4.5/ 1,3,7,9,10. |
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Thursday |
Discuss homework. Discuss derivatives of inverse trig functions. Assignment: Study 4.5. Hw 46: ex. 4.4/ 18,21,23,25,29,37,44,54. |
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Wednesday |
Discuss homework and quiz. Discuss derivatives of exponential functions. Assignment: Study 4.4. Hw 45: ex. 4.4/ 19,24,26,31,33. |
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Tuesday |
Discuss homework. AP Quiz. Discuss derivatives of logarithmic functions. Assignment: Study 4.5. Hw 44: ex. 4.3/ 40,44,47 and ex. 4.4/ 3,5,7,11,13. |
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Monday |
Discuss homework and implicit differentiation. Work problems. Assignment: Study 4.3. Hw 43: ex. 4.3/ 12,15,17,23,24,26,29,39. |
Week of October 22 – 26
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Friday |
Discuss homework and test. Discuss implicit differentiation and work example problems. Assignment: Study 4.3. Hw 42: ex. 4.2/ 41,43,45,48,49,51,52,55, ex. 4.3/ 9,10. |
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Thursday |
Discuss homework—inverses, exponents and logarithms. Assignment: Study 4.3. Hw 41: ex. 4.1/ 25,27, ex. 4.2/ 23,25,27,28,31,34,36,43. |
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Wednesday |
Discuss homework. Review inverses of functions. Review log and exponential functions and their properties. Present the change of base function for logs. Assignment: Study 4.1 and 4.2. Hw 40: ex. 4.1/ 9,10,11,15,16 and ex. 4.2/ 10,12,14,15,19. |
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Tuesday |
Test on chapter 3. Assignment: Study 4.1 and 4.2. Hw 39: ex. 4.1/ 1,3,5,7 and ex. 4.2/1,2,5,6. |
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Monday |
Review for test on chapter 3. Work practice problems. Assignment: Study for test. |
Week of October 15 – 19
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Friday |
Quiz on chapter 3. Assignment: Study for test on chapter 3. Handout problems for study for test. |
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Thursday |
Discuss homework and review for test 3b. Quiz. Assignment: Study for test. Hw 38: S.ex./ 16,19,20,28,30. |
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Wednesday |
Quiz. Review for test 3b. Assignment: Study for test. Hw 37: S.ex./ 1,2,3,4,6,9, 11,14. |
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Tuesday |
Quiz. Discuss derivative vs. differential formulas. Review differential approximations. Assignment: Study 3.6. Hw 36: ex. 3.6/ 28,29,31,34,35,36,43, 53,54,59. |
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Monday |
No Calculus class. Assignment: Study 3.6. Reworked test 3a due Tuesday. |
Week of October 1 – 5
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Friday |
Discuss homework. Work test 3a. |
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Thursday |
Discuss homework. Discuss differentials and their applications. Work practice problems. Assignment: Study 3.6. Hw 35: ex. 3.6/ 16,21,23,25,26. |
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Wednesday |
Discuss test. Introduce differentials and local linear approximations. Assignment: Study 3.6, especially differential formulas on page 216. Hw34: ex. 3.6/ 14,15,17,18, 19. |
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Tuesday |
Chapter 3 test. Assignment: Study 3.6. Hw 33: ex. 3.6/ 1,3,4,5,8,9,11,13. |
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Monday |
Discuss homework. Review for test through 3.5. Work practice problems. Assignment: Study for test on chapter 3. |
Week of September 24 – 28
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Friday |
Discuss and work homework. Introduce local linear approximation and differentials. Work examples. Assignment: Study 3.6 and for test. Hw32: ex. 3.5/ 65-68,70. |
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Thursday |
Discuss quiz and homework. Review chapter 3. Work practice problems. Assignment: Study for test on 3.1 – 3.5. Hw31: ex. 3.5/ 49-51,53-58,61. |
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Wednesday |
AP quiz. Discuss homework. Review chain rule. Assignment: Study 3.5. Hw30: ex. 3.5/ 23,25,30,40,46. |
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Tuesday |
Discuss homework. Introduce the chain rule and work practice problems. Assignment: Study 3.5. Hw29: ex. 3.4/ 3,17,19,24,26,29 and ex. 3.5/ 1,3,6,9. |
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Monday |
Discuss homework. Review trig derivatives. Discuss calculator lab. Assignment: Study 3.5 and calculator lab 1 due 10/1. Hw28: ex. 3.3/ 63,64,65,76,77 and ex. 3.4/ 21,23,31. |
Week of September 17 – 21
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Friday |
Discuss homework. Work practice problems with trig functions. Assignment: Study 3.3 and 3.4 for quiz. Hw 27: ex. 3.3/ 58,59,60 and ex. 3.4/ 3,6. |
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Thursday |
Discuss quiz and homework. Introduce trig function derivatives. Assignment: Study 3.4. Hw 26: ex. 3.3/ 33,35,37,38,39,40,42a&c,43,53,56. |
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Wednesday |
Discuss homework. Quiz on 3.1 and 3.2. Introduce calculator labs. No. 1 due 9/24. Assignment: Study 3.4. Hw 25: ex. 3.3/ 13,19,21,23,29. |
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Tuesday |
Discuss left and right hand derivatives. Discuss homework. Assignment: Study 3.3. Hw 24: ex. 3.3/ 1 – 10. |
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Monday |
Discuss homework. Pinpoint the difference in differentiability and continuity. Identify different derivative notations. Quiz on paragraphs 3.1 and 3.2. Assignment: Study 3.3. Hw 23: ex. 3.2/ 23: 25-31,33. |
Week of September 10 – 14
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Friday |
Discuss homework. Describe the trajectory of an object falling under the influence of gravity. Define a derivative in terms of h, and the equation of a tangent line at a point. Work practice problems. Assignment: Study 3.2, pages 179 – 186. Hw 22: ex. 3.2/ 16,17,18,20,22,23. |
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Thursday |
Discuss homework. What is the difference in a limit and a derivative? Assignment: Study 3.1 and 3.2. Hw 21: ex. 3.1/ 21 and 3.2/ 5,7,8,9-13. |
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Wednesday |
Discuss test. Discuss derivatives as the slope of a line at a point and as a rate of change at a point in time. Discuss homework. Work example problems. Assignment: Study 3.1. Hw 20: ex. 3.1/ 15,16,18 - 20. |
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Tuesday |
Briefly discuss quiz. Test on chapter 2. Introduce derivatives as limits. Assignment: Study 3.1. Hw 19: ex. 3.1/ 6 – 10. |
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Monday |
Quiz on chapters 1 and 2. Assignment: Study for test on chapter 2. Study 3.1. Hw 18: ex. 3.1/ 1 – 5. |
Week of September 3 – 7
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Friday |
Review for test by working problems on continuity and limits. Introduce derivatives as a limit. Assignment: Study for quiz on chapters 1 and 2 and for test on chapter 2. |
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Thursday |
Discuss homework. Review for quiz on chapters 1 and 2. Assignment: Study for quiz. Hw 17: SE/ 3,4. |
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Wednesday |
Discuss homework. Quiz. Review for test. Assignment: Study for test. Hw 16: ex. 2.5/ 49,50,51,55 and SE/ 1,2,6,7,10,13. |
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Tuesday |
Discuss homework. Begin review for chapter 2 test. Assignment: Study for chapter 2 test. Hw15: ex. 2.5/ 11,18,23,27,33,34,36,38,38,39. |
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Monday |
No school |
Week of August 27 – 30
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Friday |
No school |
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Thursday |
Discuss homework. Quiz. Discuss limits and continuity of trig functions, and the squeeze theorem. Assignment: Study 2.5. Hw14: ex. 2.4/ 29,30,38,41,49 and ex. 2.5/ 2,8,9. |
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Wednesday |
Discuss homework. Define removable discontinuities, infinite limits and the mean value theorem. Quiz. Assignment: Study 2.5. Hw13: ex. 2.4/ 22,23,25,26,28. |
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Tuesday |
Discuss homework. Discuss formal definition of limits. Introduce continuity and its definitions. Work practice problems. Assignment: Study 2.4. Hw12: ex. 2.4/ 1 – 5,7,9,11,13,14. |
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Monday |
Discuss test. Discuss limits and continuity – left and right hand limits, continuity of functions. Assignment: Study 2.2. Hw11: ex. 2.2/ 12,19,32,35,37,41,49,50. |
Week of August 20 – 24
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Friday |
Senior retreat. |
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Thursday |
Test on chapter 1. Assignment: Study 2.1. Hw10: ex. 2.2/ 1,2,4,7,9. |
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Wednesday |
Review for test. Assignment: Study for test. |
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Tuesday |
Discuss quiz, homework, limits (one-sided and two-sided) and continuity. Discuss infinite limits and limits at infinity. Hw9: ex. 2.1/ 9,11, 12,13,15,21,27,28. |
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Monday |
Discuss homework. Quiz on functions. Assignment: Study for test on chapter 1 test and paragraph 2.1. Hw8: ex. 2.1/ 1 – 3, 23,25,26. |
Week of August 13 - 17
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Friday |
Discuss homework.
Discuss the tangent line problem, the area problem and the
instantaneous velocity problem. Present
an intuitive concept of limits and continuity. Review for test on chapter 1. Assignment:
Study for chapter 1 test. Hw6: |
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Thursday |
Discuss homework. Discuss families of functions, xn, x1/n, xa/b, k/x. Define and discuss polynomials and rational functions. Briefly review trig functions (think radians). Assignment: Study 1.6. Hw 6: ex 1.5/ 32,38,39,46,47 and ex. 1.6/ 11,14 for n = 1,2,3,4 only,19,29,40. |
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Wednesday |
Discuss homework. Discuss math modeling (position, speed, average speed, acceleration) and work examples. Assignment: Study 1.5. Hw 5: ex. 1.5/ 1,3,17,19,30,31. |
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Tuesday |
Discuss homework. Discuss arithmetic operations on functions and compositions of functions. Discuss calculator labs and pass out lab 1. Assignment: Study 1.3 and 1.4. Hw 4: ex. 1.4/ 3,13,21,35,39,45,47,59,68,69. Calculator lab due 8/24/07. |
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Monday |
Discuss homework. Discuss operations on functions and translations of function graphs. Discuss the properties of functions. Study 1.3 and 1.4. Hw 3: ex 1.1/ 9,10,11 & ex. 1.2/ 2,3,8,15,16,17,18. |
Week of August 6 – 10
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Friday |
Discuss homework.
Discuss Zeno’s paradox and explain the problems that arise from
it. Who are |
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Thursday |
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Wednesday |
Introduce AP Calculus with expectations. First
lab due by 8/29/03. Assignment:
Read introduction with special emphasis on Zeno's paradoxes and |
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Tuesday |
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Monday |
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Week of April
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Friday |
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Thursday |
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Wednesday |
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Tuesday |
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Monday |
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