WEEK #18: 8-12 January 2018 **************************************************************************** WEEK #18 ********** HOMEWORK ****************************************************************************************** HOMEWORK ********** DAY 79 Monday - 8 January 2018 in class BONUS opportunity: Tangent Lines FRQ pg 1-2 Graphically #1 implicit Differentiation #4 .......................................................................................ANSWERS monday class & hw 7) CONCAVITY & INFLECTION POINTS -- NO CALCULATOR (4 questions) -------------------------------- due: Mon 8 Jan 2017 DAY 80 Tuesday - 9 January 2018 in class BONUS opportunity: Limits FRQ pg 1-2 Algebraically #2, implicit Differentiation #5, Derivative Applications f, f', f" pg 4 #1 ...................................................................................................................ANSWERS tuesday class & hw 8) RELATIONSHIPS f, f', f" -- YES CALCULATOR (3 questions) -------------------------------------------- due: Tue 9 Jan 2017 DAY 81 Wednesday - 10 January 2018 in class BONUS opportunity: Derivative of Inverse Function Theorem Derivative Applications f, f', f" pg 5 #3 Derivative Meanings pg 7 #3-4.........................................................................................................................ANSWERS wednesday class & hw 9) CONCAVITY & INFLECTION POINTS -- YES CALCULATOR (4 questions) ------------------------------- due: Wed 10 Jan 2017 DAY 82 Thursday - 11 January 2018 in class BONUS opportunity: Theorems: IVT, MVT, EVT Calculus: IVT vs MVT (vs EVT) #3-6.............................................................................................................ANSWERS Theorems IVT, MVT, EVT Derivative Applications p4 #2................................................................................................................................ANSWERS thursday class & hw 10) MEAN VALUE THM, EXTREME VALUE THM, INTERMEDIATE VALUE THM, RELATED RATES ( 3 questions)--- due: Thu 11 Jan 2017 DAY 83 Friday - 12 January 2018 SEMESTER EXAM part 1 (11 No Calculator MC & 1 Calculator FRQ) LEARNING TARGETS ***************************************************************************** LEARNING TARGETS ********** Day 79: I will review four Theorems from Calculus and practice applying them. Day 80:: I will review calculator active FRQs on Derivative Rules Day 81: I will review Derivative Application FRQ and Derivative Meanings Day 82: I will review Derivative Applications & Implicit Differentiation Day 83: I will demonstrate my understanding of Differential Calculus on part I of the Semester Exam.
Semester Exam MC Reviews --> see ABOUT page for review questions and link to Google Forms to submit your answers. 1) LIMITS (12 questions) ----------------------------------------------------------------------------- due: Tue 2 Jan 2017 2) DERIVATIVE RULES (18 questions) ---------------------------------------------------------------- due: Wed 3 Jan 2017 3) TANGENT LINES (7 questions) --------------------------------------------------------------------- due: Thu 4 Jan 2017 4) IMPLICIT DIFFERENTIATION (4 questions)------------------------------------------------------------ due: Fri 5 Jan 2017 5) INVERSE FUNCTION DERIVATIVES (4 questions) ----------------------------------------------------- due: Sat 6 Jan 2017 6) RELATIONSHIPS f, f', f" -- NO CALCULATOR (8 questions) --------------------------------------------- due: Sun 7 Jan 2017 7) CONCAVITY & INFLECTION POINTS -- NO CALCULATOR (4 questions) -------------------------------- due: Mon 8 Jan 2017 8) RELATIONSHIPS f, f', f" -- YES CALCULATOR (3 questions) -------------------------------------------- due: Tue 9 Jan 2017 9) CONCAVITY & INFLECTION POINTS -- YES CALCULATOR (4 questions) ------------------------------ due: Wed 10 Jan 2017 10) MEAN VALUE THM, EXTREME VALUE THM, INTERMEDIATE VALUE THM, RELATED RATES --------------- due: Thu 11 Jan 2017
WEEK #17: 18-22 December 2017 ************************************************************************* WEEK #17 ********** HOMEWORK ****************************************************************************************** HOMEWORK ********** DAY 74 Monday - 18 December 2017 Review Sheet: Related Rates & Optimization ---------------------------------------------------------- Day 73 NOTES ANS HW: Review WS Related Rates #1-9 ......................................................................................................... Review Answers Related Rates #1-9 DAY 75 Tuesday -19 December 2017 Last Review Day - wrap up all questions - set yourself up for success for Ch 4 Test on modeling optimization & related rates. DAY 76 Wednesday - 20 December 2017 TEST Ch 4 part 2 today. Collaborative Partner Test DAY 77 Thursday - 21 December 2017 Application of Derivatives: Horizontal Motion Example #1 & Practice #2-3, Homework #4-7 ----------- DAY 77 Horizontal Motion .........................................................................................................................................................................DAY 77 Horizontal Motion ANSWERS DAY 78 Friday - 22 December 2017 Theorems: Inverse Function Thm, Intermediate Value Thm, Mean Value Thm, Extreme Value Thm -------------DAY 78 Theorems .......................................................................................................................................................................... DAY 78 Theorem Practice ANSWERS LEARNING TARGETS ***************************************************************************** LEARNING TARGETS ********** Day 74: I can demonstrate my understanding of solving related rates problems on the review in preparation for the test. Day 75: I will clarify all misunderstandings on optimization & related rates problems to set myself up for success on tomorrows test. Day 76: I can demonstrate my understanding of Optimization and Related Rates on Ch 4 TEST (part 2) today. Day 77: I can solve horizontal motion problems: When is particle moving left or right? When is a particle speeding up or slowing down? I can draw a horizontal motion diagram and determine the displacement and total distance traveled by a particle on a given time interval. Day 78: I can critically read AP problems and solve them using Calculus I have learned this semester.
WEEK #16: 11-15 December 2017 ************************************************************************** WEEK #16 ********** HOMEWORK ****************************************************************************************** HOMEWORK ********** DAY 69 Monday - 11 December 2017 §4.3 Modeling & Optimization pp 17 #10,7,8,9,12 ------------------------------------------------------ Day 69 §4.3 NOTES ANS HW pp 210-215: #17,24,25,28,42 .......................................................................................................................... Day 69 §4.3 HW Answers DAY 70 Tuesday - 12 December 2017 §4.6 Related Rates pp 18-20 formulas #1-15 & Examples #1-3 ------------------------------------------ Day 70 §4.6 NOTES ANS HW in packet pp 20 #1-3,6 ................................................................................................................................... Day 70 §4.6 HW Answers DAY 71 Wednesday - 13 December 2017 §4.6 Related Rates pp 18-20 Examples #4-5 ---------------------------------------------------------- Day 71 §4.6 NOTES ANS HW pp237-242: #17,25,27,29 .................................................................................................................................. Day 71 §4.6 HW Answers DAY 72 Thursday - 14 December 2017 §4.6 Related Rates pp 20 HW #4-5 ----------------------------------------------------------------- Day 72 §4.6 NOTES ANS HW pp237-242: #18,33,35,38 ................................................................................................................................ Day 72 §4.6 HW Answers DAY 73 Friday - 15 December 2017 WS: Six Related Rates Problems we are expected to know #1-6 --------------------------------------------Day 73 NOTES ANS HW: Review WS Optimization #10-15 .............................................................................................Review Answers Optimization #10-15 LEARNING TARGETS ***************************************************************************** LEARNING TARGETS ********** Day 69: I can read critically, sketch graphs, write equations to model scenarios, do calculus, justify my conclusion using calculus and answer the question in the context of the problem scenario. Day 70: I can read critically, sketch graphs, write equations to model scenarios, do calculus, justify my conclusion using calculus and answer the question in the context of the problem scenario. Day 71: I can use a correct formula, implicitly differentiate with respect to time, solve for a rate, evaluate using given information at a particular moment in time to find the rate and interpret the answer within the context of the problem scenario. Day 72: I can use a correct formula, implicitly differentiate with respect to time, solve for a rate, evaluate using given information at a particular moment in time to find the rate and interpret the answer within the context of the problem scenario. Day 73: I can demonstrate my understanding of solving optimization problems on the review in preparation for the test.
WEEK #15: 4-8 December 2017 ************************************************************************** WEEK #15 ********** HOMEWORK ****************************************************************************************** HOMEWORK ********** DAY 64 Monday - 4 December 2017 §4.2 Optimization pp 15 problems #9-12 ------------------------------------------------------------------- §4.2 NOTES ANS HW pp 202-204: #27,38,40,41 ......................................................................................................................................... §4.2 HW Answers DAY 65 Tuesday - 5 December 2017 Ch 4 part 1 Review Sheet ------------------------------------------------------------------ Ch 4 part 1 Review ANSWERS DAY 66 Wednesday - 6 December 2017 UNIT 4 (part 1) TEST TODAY --------------------------------------------------- HW Ch 3 & Ch 4 part 1 & Review DUE TODAY DAY 67 Thursday - 7 December 2017 §4.3 Modeling & Optimization pp 16-17 #1-4 --------------------------------------------------------- Day 67 §4.3 NOTES ANS HW pp 210-215: #2,3,6,9 ...................................................................................................................................... Day 67 §4.3 HW Answers DAY 68 Friday - 8 December 2017 §4.3 Modeling & Optimization pp 17 #11,13,5,6 ------------------------------------------------------- Day 68 §4.3 NOTES ANS HW pp 210-215: #11,14,20,23 ............................................................................................................................... Day 68 §4.3 HW Answers LEARNING TARGETS ***************************************************************************** LEARNING TARGETS ********** Day 64: I can use 1st and 2nd Derivative Tests and communicate conclusions about the behavior of a function. Day 65: I can demonstrate my understanding of the following: 1) derivative of an inverse function 2) implicit differentiation 3) linear approximations using tangent lines 4) Mean Value Theorem 5) 1st & 2nd Derivative Tests to identify function behavior 6) Optimization Day 66: I can successfully demonstrate my understanding on the Unit 4 Ch 3 & Ch 4 Test (part 1) on these topics: 1) derivative of an inverse function 2) implicit differentiation 3) linear approximations using tangent lines 4) Mean Value Theorem 5) 1st & 2nd Derivative Tests to identify function behavior 6) Optimization Day 67: I can write an equation to model a situation in terms of only one variable and using a secondary formula if needed. I can use calculus methods to find an justify a maximum or minimum. Day 68: I can write an equation to model a situation in terms of only one variable and using a secondary formula if needed. I can use calculus methods to find an justify a maximum or minimum.
WEEK #14: 27 Nov -1 December 2017 *********************************************************************** WEEK #14 ********
This week spend some time each night working on the REVIEW. You cannot wait until Monday night next week to complete the review. Manage your time wisely. Use your time effectively and efficiently.
Plan to have finished the review completely by Monday night Dec 4.
We will have only one day Tuesday Dec 5 for in-class review before the Ch 4 (part 1) Test on Wednesday Dec 6.
Your goal is to have most of your questions already answered prior to Tuesday Dec 5.
Come in for lunch help this week to work on the review and get your questions answered.
HOMEWORK ****************************************************************************************** HOMEWORK ********** DAY 59 Monday - 27 November 2017 §4.1 Using the First & Second Derivatives pp 8-10 examples #1-6 ---------------------------------------------- §4.1 NOTES ANS HW pp 192-196: #1-4,9,13,31,38,43 .................................................................................................................................... §4.1 HW Answers DAY 60 Tuesday - 28 November 2017 §4.1 Using the First & Second Derivatives pp 11-13 examples & problems #1-5 ---------------------------------- §4.1 NOTES ANS HW pp 192-196: #24-30 all, 32 ......................................................................................................................................... §4.1 HW Answers DAY 61 Wednesday - 29 November 2017 §4.1 Using the First & Second Derivatives pp 14 problems #6-10 ---------------------------------------------- §4.1 NOTES ANS HW pp 192-196: #7,8,16-19,39,45,46 ................................................................................................................................. §4.1 HW Answers DAY 62 Thursday - 30 November 2017 CH 3 TEST Corrections DUE TODAY §4.2 Optimization pp 15 problems #1-4 -------------------------------------------------------------------- §4..2 NOTES ANS HW pp 202-204: #4,6,12,14,15 .......................................................................................................................................... §4.2 HW Answers DAY 63 Friday - 1 December 2017 §4.2 Optimization pp 15 problems #5-8 -------------------------------------------------------------------- §4.2 NOTES ANS HW pp 202-204: #8,10,13,17,18 ......................................................................................................................................... §4.2 HW Answers LEARNING TARGETS ***************************************************************************** LEARNING TARGETS ********** Day 59: I can use the first and second derivatives to discuss increasing, decreasing and concavity behavior of a function. I can justify where a function has a relative maximum or minimum based on sign changes of the first derivative. I can justify where a function has a point of inflection based on sign changes of the second derivative. Day 60: I can use the first and second derivatives to discuss (inc/dec/ccu/ccd) behavior of a function and classify extrema as max or min and find inflection points. Day 61: I can use the 2nd Derivative Test (concavity of a function at critical points) to Justify maxima or minima. Day 62: I can use 1st and 2nd Derivative Tests and communicate conclusions about the behavior of a function. Day 63: I can use 1st and 2nd Derivative Tests and communicate conclusions about the behavior of a function.
WEEK #13: 10/13-17 November 2017 ************************************************************************ WEEK #13 ******** HOMEWORK ****************************************************************************************** HOMEWORK ********** DAY 54 Friday - 10 November 2017 §3.6 Derivatives of Inverse Functions ---------------------------------------------------------------------- §3.6 NOTES ANS HW pp 159-162: #57-59,63-68 ......................................................................................................................................... §3.6 HW Answers DAY 55 Monday - 13 November 2017 HW NOTES pp 5-8 finish completely .................................................................................................................. §3.6 NOTES HW Answers DAY 56 Tuesday - 14 November 2017 §3.7 Implicit Differentiation ------------------------------------------------------------------------------- §3.7 NOTES ANS HW pp 164-165: #3,6,9,12,15,18,23,25,26,31 ..................................................................................................................... §3.7 HW Answers DAY 57 Wednesday - 15 November 2017 §3.9 Linear Approximation using Tangent Line -------------------------------------------------------------- §3.9 NOTES ANS HW pp 3-4 is missing information in columns 3 and 4 of the table? See the Ch 4 Notes at the top of this page under the Assn Sheet HW NOTES pp 3-4: #1-6 .................................................................................................................................................. §3.9 HW Answers DAY 57 repeat Thursday - 16 November 2017 §3.9 Linear Approximation using Tangent Line DAY 58 Friday - 17 November 2017 §3.10 The Mean Value Theorem -------------------------------------------------------------------------- §3.10 NOTES ANS HW NOTES p 7 all ............................................................................................................................................................ §3.10 HW Answers LEARNING TARGETS ***************************************************************************** LEARNING TARGETS ********** Day 54: I can find the numerical value for the derivative of an inverse function because I know the relationship between the slope of the function and the slope of the inverse at a given point... (they are reciprocals!) Day 55: I can find the derivative of inverse functions. Day 56: I can use Implicit Differentiation to find the derivative of a function that is not written explicitly for y in terms of x. I know when to use the chain rule when implicitly differentiating. Day 57-58: I can write an equation of a tangent line to a function. I can use this equation to approximate the value of f(x) near the point of tangency. I can use the second derivative (& concavity) to determine if the approximation is an over or under estimate. Day 58: I know the prerequisites for the Mean Value Theorem. I can find a point on a function for which the slope of the tangent line at that point is equal to the slope of the secant line on an interval surrounding that point.