AP Calc BC Baldwin August 2015 Mon 10 Week 1 1st Day of School Video “Who Invented Calculus?” Go Over Syllabi – Show Stats HW: Syllabus & Composition Notebook Chapter 2 Review HW – pg. 89 #1 a b pg. 154 #5, 11, 15, 25 pg. 161 #3, 4, 5, 19 – 24 all, 27, 28, 31 pg. 171 # 5-12 all pg. 176 #37, 39, 41, 42, 44-49 all, 51, & 52 Week 3 Wed 12 Thu 13 What is the limit Definition of the Derivative? Fri 14 AP MC Quiz: Limits & Continuity Difference Quotient WS 18 19 2.1 – 2.9 Test 5 min: In notes: Write down every derivative rule that you remember Week 2 17 Tue 11 Limit Qualifier 20 21 Early Release Skills Review 3.1 – 3.5 Quiz 5 min: Exchange rules with the class 24 25 40 min: Derivative Qualifier 26 Skills Review 3.1 – 3.8 Review 3.1 – 3.8 Review Review: Pg. 269 #1 – 49 EOO, Skip 41 & 45 53 – 57 odds, 67 – 73 odds, 80, 81, 85 27 3.1 – 3.8 Test 28 AP Calc BC Baldwin Week 4 September 2015 Mon 31 Tue 1 Wed 2 Thu 3 4.1 TSW identify the minimum & maximum values of a function from the graph & from the function. 4.2 TSW understand & apply Rolle’s Thm & the Mean Value Theorem. 4.3 TSW identify where f(x) is inc or dec, find local max & min values of f(x), intervals of concavity, and points of inflection using the 1st & 2nd derivative tests. TSW sketch a function using the above data. 4.3 TSW identify where f(x) is inc or dec, find local max & min values of f(x), intervals of concavity, and points of inflection using the 1st & 2nd derivative tests. TSW sketch a function using the above data. HW - pg. 284 3, 5, 9, 11, 15, 17, 22, 23, 25, 27 – 31 all, 41, 47, 49, 53, 55, 57, 67 Week 5 7 No School Labor Day Week 6 FALL BREAK NO SCHOOL 21 3.10 TSW solve real life problems using related rates. Related Rates Matching Lab HW – Complete Part II of Lab AP MC Quiz: Differentiation HW - pg. 302 1, 5 – 10 all, 25 – 49 EOO skip 29, 45 8 4.4 TSW evaluate indeterminant limits using L’hospital’s rule. HW – 4.4 pg. 312 # 5 – 65 EOO 14 Week 7 HW - pg. 293 1, 3, 5, 10, 11, 13, 15, 23, 25, 35 Fri 4 15 4.1 – 4.5 Review 9 4.5 TSW complete a thorough graph analysis of a function including domain, intercepts, asymptotes, symmetry, inc/dec intervals, mins & maxs, concavity, & pts of inflection. 16 4.1 – 4.5 Review Ch 4 Review HW: pg. 360 5, 7-17 odds, 16, 18, 21, 23, 27, 29, 46, 48, 49 (skip 13) 22 3.10 TSW solve real life problems using related rates. 10 Early Release Curve Sketching QUIZ 17 4.1 – 4.5 Test Pass out Curve Sketching Take Home Test 23 24 4.7 TSW set up a function to model a real world value in order to optimize that value by calculating minimum & maximum values of the function. 4.7 TSW set up a function to model a real world value in order to optimize that value by calculating minimum & maximum values of the function. HW – pg. 334 #3, 9, 12, 17 – 29 EOO 11 4.1 – 4.5 Review 18 3.10 TSW solve real life problems using related rates. HW – pg. 257 #1 – 29 odds, skip #7 25 Applications Review AP Calc BC Baldwin October 2015 Mon 28 Applications Review Week 8 Applications Review Tue 29 Wed 30 Applications TEST Thu 1 4.10 TSW calculate the general & particular antiderivative of a function. TSW sketch the antiderivative given a graph of f’. TSW use the antiderivative to solve position, velocity, & acceleration problems. Fri 2 Early Release Week 9 HW – pg. 356 # 17 – 51 odds, # 59 – 65 odds 5 6 7 8 5.1 TSW understand and apply the concept of a Riemann sum to estimate the area under a curve using left, right & mid points. TSW will apply the concept of the definite integral as the area under the curve. 5.2 TSW express an integral as a limit of sums and vice versa. Use Riemann sums & summation formulas to evaluate a definite integral. Interpret a definite integral as the area between the function and the x-axis. Estimate the area under a curve using the Trapezoidal Rule. 5.3 TSW understand & Apply the Fundamental Thm of Calculus. Evaluate definite integrals. 5.3 TSW understand & Apply the Fundamental Thm of Calculus. Evaluate definite integrals. HW – pg. 398 #1 – 49 EOO HW – Finish Integral Packet HW – pg. 376 # 1, 5, 11, 13, 15, 17, 18, 20 Week 11 Week 10 12 FALL BREAK NO SCHOOL 9 HW – 5.2 pg. 388 #3 –11 odds, 15–37 odds, 43 & 45, skip 21, 27, & 33 HW – 7.7 pg. 521 # 1, 2, 3 , 7, 9 13 14 Curve Sketching Take Home Test DUE 5.5 TSW use the substitution rule to evaluate definite and indefinite integrals. 5.7 TSW understand & recognize integrals resulting in arctan x & arcsin x. 5.4 TSW calculate definite and indefinite integrals. HW – pg. 407 # 1 – 41 EOO, 45, 53, 55 15 Chapter 5 Review Group Quiz BONUS HW – pg. 427 # 2 – 5 all, 7, 9, 13, 15, 19 – 25 odds, 29 – 33 odds, 37, 39, 45 – 49 odds, 58, 59, 61 pg. 408 #55 22 Early Release Parent Teacher Conferences 23 HW - pg. 416 # 1 – 41 EOO, # 49 – 69 EOO 19 20 21 Chapter 5 Review Chapter 5 Review Chapter 5 Test 16 6.1 Calculate the area between 2 curves. HW – 6.1 pg. 438 # 1 – 41 EOO, # 44 Early Release AP Calc BC Baldwin Week 12 November 2015 Mon 26 Tue 27 Wed 28 Thu 29 Fri 30 6.2 TSW calculate volumes by revolution using the disk/washer method. 6.3 TSW calculate volumes by revolution using the cylindrical shell method. 6.2 TSW calculate the volume of a solid given the base and cross-section. 6.5 Calculate the average value of a function & apply the Mean Value Theorem for Integrals. AP Volume/Area FRQ QUIZ HW – 6.2 pg. 448 #1 – 17 odds, 31 – 35 odds HW – 6.3 pg. 455 #5, 6, 9, 13, 17, 19 HW – Worksheet HW - 6.5 pg. 462 # 1 – 15 odds 2 3 4 5 Chapter 6 Review AP MC: Area & Volume Quiz Chapter 6 Review Chapter 6 Test 10 11 6 Week 13 Early Release HW – pg. 462 #8, 10, 12 Pg. 463 #1 – 15 odds, 23 – 26 all, 30 Week 15 Week 14 9 7.1 TSW understand and apply integration by parts. HW – pg. 474 #1, 5, 9, 17, 21, 25 7.2 TSW evaluate trigonometric integrals. VETERANS DAY NO SCHOOL HW – pg. 482 #1, 7, 21, 23, 25 16 17 7.4 TSW evaluate integrals using partial fraction decomposition 7.4 TSW evaluate integrals using partial fraction decomposition. 12 13 7.3 TSW evaluate integrals using trigonometric substitution. HW – 7.3 pg. 488 # 1, 7, 13, 19, 25, 33 18 7.8 TSW evaluate improper integrals. HW – pg. 531 #5, 13, 17, 21, 29, 33 HW – pg. 498 # 1 – 9 EOO, 15, 17, 19, 25, 33 23 - 27 No School Thanksgiving Recess 19 20 AP Calc BC Baldwin Week 18 Week 17 Week 16 December 2015 Mon 30 Tue 1 8.1 TSW calculate the arclength of a curve. 8.2 TSW calculate the area of a surface of rotation. HW – pg. 546 #1, 3, 9, 13, 19, 21 Wed 2 Thu 3 Fri 4 Work Day Chapter 7/8 Quiz Chapter 7/8 Review 10 11 Early Release Final Exam Review Final Exam Review HW – pg. 552 # 1 – 13 EOO, # 15 – 19 odds 7 8 9 Chapter 7/8 Review Chapter 7/8 Review Chapter 7/8 Test 14 15 16 17 18 Final Exam Review Final Exam Review Final Exam Review Early Release FINALS Early Release FINALS Week 1 January 2016 Mon 4 Tue 5 Wed 6 Thu 7 Section 1A: TSW list terms in a sequence given the formula for the nth term and vice versa. TSW determine whether a sequence diverges or converges by nth term Test. TSW find partial sums and the sum of an infinite series. Section 1B: TSW find partial sums and the sum of an infinite geometric series. TSW determine whether a geometric series is divergent or convergent. Section 1B: TSW find partial sums and the sum of an infinite geometric series. TSW determine whether a geometric series is divergent or convergent. Section 2: An Introduction to Taylor Polynomials - TSW state & apply the Maclaurin Polynomial approximations for sinx, cosx, 1/(1-x), & ln(1-x). 11 Week 2 AP Calc BC Baldwin Section 1 Quiz HW - Section 1A #1 – 3, 5 – 9 all, # 11 – 15 odds 12 Section 3: A Systematic Approach to Taylor Polynomials HW - Section 1B #17 – 27 odds, 31, 42 – 46 all 13 Fri 8 Early Release *COOL Introduction to Sequences, Series, & Taylor Polynomials! *Does 0.99999… = 1? HW - Section 2 #1 – 11 odds 14 15 Review Sections 2 – 4 Quiz Section 4: Lagrange Remainder HW - Section 4 #1 – 19 odds, 18 HW - Section 3 #1 – 21 odds skip #9, #2a 18 Review 20 Review 21 Sequences & Series TEST Part 1 Week 4 Week 3 MLK DAY No School 19 25 26 27 Section 7: TSW Understand and apply the Integral Test, P-Series Test, Direct Comparison Test, & Limit Comparison Test for Positive Term Series. Section 7: TSW Understand and apply the Integral Test, P-Series Test, Direct Comparison Test, & Limit Comparison Test for Positive Term Series. Section 8: TSW apply the Alternating Series Test & the Alternating Series Error Bound. TSW use the Ratio Test to find interval of convergence for Power Series HW - Section 7 #1 – 33 EOO, 34 – 40 all HW - Section 8 #1– 13 EOO, #17–23 odds, 45 – 57 odds. 28 Section10: TSW use Taylor series to evaluate integrals & limits. TSW create Taylor series for specified functions. HW - Section 10 #8 – 12 all 13, 15, 31 – 39 odds, 43 22 Section 6: TSW identify the values of x for which certain power series converge. TSW find the radius of convergence and the interval of convergence for a power series. HW - Section 6 #1-17 EOO, 20, #21-25 odds, 27-39 EOO 29 Sections 6 – 10 Quiz AP Calc BC Baldwin February 2016 Week 5 Mon 1 Review Week 6 9 10.1 TSW sketch a parametric equation. TSW eliminate the parameter in a parametric equation & state domain restrictions. HW – pg. 645 #1 – 13 odds, #17 – 25 odds 15 Week 7 President’s Day No School Week 8 22 10.5 TSW calculate areas under polar curves and arc length of polar curves. HW – pg. 674 #1, 5, 7, 11, 15 #19 – 23 odds, 29, #45 – 53 (13 problems) Tue 2 Wed 3 Review NO SCHOOL PROFESSIONAL DEVELOPMENT Thu 4 Review Fri 5 Sequences & Series TEST Part 2 10 11 11 12 10.2 TSW find the slope of a tangent line and the equation of a tangent line to a parametric equation. TSW calculate the area under the curve given a parametric equation. 10.2 TSW find the slope of a tangent line and the equation of a tangent line to a parametric equation. TSW calculate the area under the curve given a parametric equation. Early Release P/T Conferences Early Release HW – pg. 653 #1 – 27 odds, 31, & 33 16 10.4 TSW graph points in polar coordinates. Convert points & functions from polar to rectangular coordinates and vice versa. Graph polar equations using a t-chart or by graphing rectangular trig functions. Calculate the derivative of a polar curve and find the equation of the tangent line to a given point. 23 17 10.1 – 10.3 Quiz HW – pg. 659 #1, 3, 5, 9, 11, 21, 23, 25, & 29 18 19 10.4A HW – pg. 668 # 5, 13 – 25 odds, 29, #36 – 39 all, 45, 46, 56 (16 problems) 10.5 TSW calculate areas under polar curves and arc length of polar curves. 10.4B HW – pg. 669 #59, 61, 63, #71 – 75 odds (6 problems) 24 Chapter 10 Review 10.4 & 10.5 Quiz 10.3 TSW calculate the arc length of a parametric curve and the surface area of a solid formed by a parametric curve. BONUS HW – pg. 688 #17 – 23 odds #27 – 37 odds 25 13.1 TSW identify the domain and limits of vector-valued functions. 26 AP Calc BC Baldwin March 2016 Tue 1 Chapter 10 Review Chapter 10 Test Week 9 Mon 29 Wed 2 Thu 3 13.2 TSW find the derivative and tangent vectors to vector functions. TSW identify a vector function as smooth. TSW evaluate the definite integral of a vector function. 13.3/13.4 TSW find the arc length of a vector valued function. TSW find acceleration, velocity, & position vectors given appropriate information and apply them to solve a problem. HW: 13.1 pg. 842 # 1, 3, 5, 7 – 12 all, 13, 17 13.2 pg. 848 # 5, 9, 13, 25, 27, 29, 33 – 39 odds 7 8 Fri 4 Early Release 13.1 – 13.4 QUIZ HW: 13.3 pg. 855 # 1 – 3 All 13.4 pg. 865 #3 – 19 EOO, 16 9 10 11 9.2A Differential Equations: Review Chapter 13 Test Week 10 QUIZ Match y & dy/dx to the slope field Create a slope field given a differential equation. Sketch the function (y) given the slope field and an initial condition. AP MC: Sequences & Series Quiz HW – Slope Field Packet 9.2A pg. 593 #1 – 7 all, 9, 11 Week 12 Spring Break Week 11 14 9.2B Differential Equations: Apply Euler’s Method HW – Euler Worksheet 9.2B pg. 594 #19, 21, 23 21 15 16 9.3 Separable Equations Find y using separation of variables 17 18 Chapter 9 Quiz Take Home Test: AP MC Sample Exam IV 9.4 Exponential Growth & Decay HW – 9.4 pg. 610 # 1, 3, 13, 20 Due 1st thing on Monday 4/4/16 HW – 9.3 pg. 600 #1–17 odds, 29 & 31 22 23 24 25 SPRING BREAK 28 29 30 31 1 P 2, 4/5, 7 P 1, 3, 6 9.5 The Logistic Equation Logistics Model: “He Said, She Said” & Popcorn LAB P 2, 4/5, 7 P 1, 3, 6 P 2, 4/5, 7 HW – 9.5 pg. 619 #1&3 Chapter 9 Review Chapter 9 TEST AP Calc BC Baldwin Week 13 April 2016 Mon 4 Tue 5 Wed 6 Thu 7 P 1, 3, 6 P 2, 4/5, 7 P 1, 3, 6 *Assign Free Response Poster Project: Project Rubric FR Questions Group Sign-Up Sheet *Goal Setting *FRQ practice 1,2, 3 *FRQ practice 4,5,6 P 2, 4/5, 7 *Go over Take Home Test: AP Multiple Choice Exam Week 16 Week 15 Week 14 * handout SuperCool formula sheet! P 1, 2, 3 7:30 am Pizza = $1/slice Auxillary Gym AP Calculus AB Practice Exam = ½ Final Exam 11 12 13 14 AZMerit Writing (9, 10, 11) AZMerit Math (9, 10, 11) AZMerit Reading (9, 10, 11) Late Start AIMS Science (9th) P 1, 3, 6 P 2, 4/5, 7 P 1, 3, 6 P 2, 4/5, 7 18 AP Practice Exam 19 AP Practice Exam 20 AP Practice Exam 21 AP Practice Exam MC: NonCalculator 28 questions 55 minutes MC: Calculator 17 questions 50 minutes FRQ: NonCalculator(3) 25 26 FRQ: Calculator(2) NonCalculator(1) 3 questions 45 minutes 27 SPRING Break Day No School Fri 8 Early Release 15 22 SPRING Break Day No School 3 questions 45 minutes 28 29 May 2016 Week 17 Mon 2 Wed AP Chemistry AP Environmental Science AP Psychology (PM) Tue 3 Wed 4 Thu 5 Fri 6 AP Computer Science A AP Spanish AP Physics 1 (PM) (Algebra based) AP English Lit & Comp AP Physics 2 (PM) (Algebra based) AP Calculus AB & BC Exam AP US History 10 11 12 13 AP US Government AP French (PM) AP English Lang & Comp AP Statistics AP World History AP Statistics (PM) AP Micro Economics 17 18 19 20 Early Release 7:40am – Noon Gym Bring your Calculator! AP Chinese (PM) Week 18 9 6 AP Biology AP Music Theory AP Physics C: Mechanics AP Physics C: Electricity & Magnetism 16 13 Week 19 Last day for seniors Week 20 23 20 24 25 26 Early Release FINALS Early Release FINALS Last Day for Students 27 27