AP Calc AB Baldwin August 2015 Mon 10 Week 1 1st Day of School Folders, Popsicle Sticks & Contact Sheet Thinkwell’s ”The Two Questions of Calculus” Go Over Syllabi “The Glory in the Struggle” - Show Stats Top Ten Tips… Tue 11 Wed 12 Thu 13 Fri 14 Limits Matching Lab: “We Belong Together” 1.2 TSW find the limit of a function from a graph. Estimate the limit of a function from a table of values. Sketch the graph of a function given specific points and limits of the function. 1.3 TSW find the limit of a function using the limit laws & algebraic methods. 1.3 TSW find the limit of a function using the limit laws & algebraic methods. 1st Some Vocabulary: Point of Inflection, Critical point, Extrema, Concavity Continued… HW – pg. 67 # 5 – 21 EOO, # 23 – 61 odds (25 Total) HW – pg. 54 #3, 5, 9 – 25 odds Week 2 HW: Syllabus & Composition Notebook 17 18 19 1.3 TSW Evaluate, graph, and find the limit of the greatest integer function. Understand & apply the two “special” trig limits. 1.4 TSW identify where & why a function is discontinuous based on a graph or an equation. 1.4 TSW show that a function is continuous on an interval or at a point. TSW understand & apply the Intermediate Value Theorem. HW – Limits & Continuity Worksheet Week 3 1.2 – 1.4 Quiz 21 Early Release Homework Questions HW - pg. 78 1 – 5 odds, 7 – 23 EOO, 25 – 31 odds, 33 – 53 EOO, 57, 59, 75, 77, 85 (23 Total) HW – pg. 67 #67 – 85 odds 24 25 26 1.5 TSW will evaluate infinite limits. TSW use limits to identify the VA & HA of a graph. TSW use limits & intercepts to sketch the graph of a function. 3.5 TSW will evaluate the limit of a function at infinity. TSW use limits to identify the VA & HA of a graph. TSW use limits & intercepts to sketch the graph of a function. 2.1A TSW calculate the slope of a tangent line to a curve using the difference quotient. Find the equation of a tangent line to a curve at a point P. Use the definition of the derivative to find f’(x). HW – 1.5 pg. 88 #1 – 7 odds, #9 – 25 EOO, #29 – 47 odds 20 HW – 3.5 pg. 205 #3 – 8 all, #9, 13, 15, 17, 19, #21 – 33 EOO, #35, 37, 41, 45 27 HW – 2.1A pg. 103 #1, 3, 4, 9 – 33 EOO, 71, & 77 28 2.1 HW ?’s Multiple Madness #1 AP Calc AB Baldwin September 2015 Mon 31 Week 4 Limit Review 2.1 Quiz Pass back & go over Matching Lab & 1.2 – 1.4 Quiz Tue 1 Limit Review Limit Qualifier Review Wed 2 Thu 3 Limit Review Limit TEST Work on Limit Test Review 7 Week 5 No School Labor Day Week 6 FALL BREAK NO SCHOOL 21 Week 7 8 2.2A TSW understand & apply the constant , power , & sum/difference rule for derivatives. 9 Limit Qualifier 15 16 2.3A TSW understand & apply the product & quotient rules for derivatives. TSW understand & apply the derivatives of the six trigonometric functions HW – 2.3A pg. 126 # 1, 5, 9, 25–37 EOO, 39–51 EOO, 59, 61, 63, 67, 69, 75, 77, 81, 82 HW - 2.4 pg. 137 # 7 – 31 EOO, # 41 – 73 EOO, # 83, 85, 97, 99 22 2.1B Matching Activity (Functions – Description & Graph w/ Derivatives – Description & Graph) 10 2.2B Calculate and apply the derivative of sine & cosine functions. HW – 2.2B pg. 115 #19 – 24 all #37, 38, 51, 52, 61,75, 92 2.2C TSW find the slope of a secant line & use it to estimate the slope of a tangent line. Find average & instantaneous rates of change. HW – 2.2C pg. 117 # 89 – 95 odds, # 97 – 100 all, 107, 113 2.4 TSW understand & apply the Chain Rule. 2.1B TSW identify where a function is differentiable. Interpret the derivative graphically. HW – 2.1B pg. 104 # 37 – 48 all, # 53 – 56 all, 59, # 81 – 89 odds HW – 2.2A pg. 115 #1 – 17 odds #25 – 29 odds #39 – 49 odds #53 – 59 odds #63, 65, 67 14 Fri 4 23 Derive This! *Work Day on 2.4 Homework 17 2.3B TSW calculate, graph, & interpret higher derivatives. HW – 2.3B pg. 128 # 93 – 99 odds # 103 – 110 all # 111 – 117 odds 24 2.5 TSW understand and apply implicit differentiation. HW - pg. 146 #1, 5, 9, 13, 21, 25, 31, 41a, 45, 47 In class: Sorting Them Out Worksheet (Do Front & #2 on Back) 11 Early Release Multiple Madness #1/ #2 18 AP MC Quiz: Limits 25 Derivative Quiz I (2.1B – 2.4) AP Calc AB Baldwin Week 9 Week 8 October 2015 Mon 28 Tue 29 Wed 30 Thu 1 Fri 5. 1/5.4 TSW calculate and apply to the derivative of the natural exponential & log functions. 5.3/5.6 TSW calculate the derivative of general inverse functions and inverse trig functions. Derivative Qualifier A Practice Early Release Derivative Review HW - 5.1 pg. 329 # 41, 49, 53, 65, 73, 93 & 95 5.4 pg. 357 # 33 – 53 EOO, 61 HW – pg. 5.3 pg. 349 #71 – 75 odds, 95 5.6 pg. 378 #41 – 49 odds, 61 & 63 Week 10 Multiple Madness #3, #4, #5 5 6 7 8 Derivative Review Derivative Qualifier B Derivative Review Derivative Test 13 14 15 16 No Class (PSAT) 3.2 TSW understand & apply Rolle’s Thm & the Mean Value Theorem. Derivative Qualifier C 12 FALL BREAK NO SCHOOL 3.1 TSW identify the minimum & maximum values of a function from the graph & from the function. 19 3.3 TSW identify where f(x) is inc or dec, and find local max & min values of f(x) using the 1st derivative test. HW - 3.3 pg. 186 #1 – 7 odds, #17 – 45 EOO, #55 – 63 odds 20 3.4 TSW identify where f(x) is concave up and concave down and find the points of inflection using the 2nd derivative test. HW - 3.4 pg. 195 # 1 – 5 odds, #11 – 39 EOO, #49 – 56 all 9 HW - pg. 176 1 – 4 all, 5 – 21 EOO, 31 – 33 all, 38, 39 – 45 odds, 56, 67 HW - pg. 169 # 1, 2, 3 – 7 odds, # 9 – 12 all, # 13 – 41 EOO Week 11 2 8.7 TSW evaluate indeterminant limits using L’hospital’s rule. 21 22 Early Release Parent Teacher Conferences HW – 8.7 pg. 574 #1 – 9 odds, #11 – 35 EOO, #37 – 40 all, 51, 53 3.6 TSW complete a thorough graph analysis of a function. (Go Over Example #1) 23 Early Release In Class: 3.7 Group WS 26 27 28 29 3.1 – 3.6 Review Week 12 3.6 notes continued: (Go Over Example #2) HW - 3.6 pg. 215 #1 – 6 all, 19 & 39, 47 – 52 all Do a worksheet instead…. 3.1 – 3.6 Quiz Go over 3.6 HW questions Work on Review in class 30 3.1 – 3.6 Review Multiple Madness Quiz #12/13 Go over Curve Sketching Quiz Go Over AP MC/FRQ: Limits Quiz AP Calc AB Baldwin Week 13 November 2015 Mon 2 Tue 3 Wed 4 AP MC & FR Quiz: Derivatives 3.1 – 3.6 Review 3.1 – 3.6 Review Week 14 Fri 6 Early Release Pass out Curve Sketching Take Home Test 9 2.6 TSW solve real life problems using related rates. 10 2.6 TSW solve real life problems using related rates. 11 12 VETERANS DAY NO SCHOOL Related Rates Turvey! 17 18 19 3.9 TSW will find the differential of a function and compare values of dy & y. 3.9 TSW will find the differential of a function and compare values of dy & y. HW – 3.9 pg. 240 # 1 – 25 odds, # 43 – 47 odds HW - Linearization Practice WS 3.7 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. 154 #7, 13 – 27 odds, 20, 33, 41 16 Week 15 Thu 5 Curve Sketching Test 23 - 27 No School Thanksgiving Recess HW – 3.7 pg. 223 # 3 – 13 odds, 19, 21, 23, 27, 41, 47, 49 13 3.9 TSW calculate the linearization of a function at a point and use it to estimate values of the function close to a point. 20 Curve Sketching Take Home Test DUE AP Calc AB Baldwin December 2015 Mon Tue Wed 30 1 2 Derivative Applications Quiz Applications Review Week 16 *3.7 HW Questions Optimization Quiz Week 17 7 Applications Review 14 Week 18 Work Day *Go over FRQ 2002 #5 8 Applications TEST Pt 1: Related Rates & Linearization 9 Applications TEST Pt 2: Optimization 15 Written Final Exam: Topics – *Optimization *Related Rates *Implicit Diff/Linearizatio n *Curve Sketching *Position/Velocit y/Acceleration Thu 3 AP MC & FR Quiz: Applications of Derivatives Fri 4 Applications Review 10 11 Early Release FRQ Practice Work Day 16 17 Early Release 18 Early Release Work Day Multiple Choice FINAL (1, 2, 3) Multiple Choice FINAL (4/5, 6, 7) *Final Exam Review Packet DUE *Final Exam Review Packet DUE Week 1 January 2016 Mon 4 Tue 5 Wed 6 4.2 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 definition of the area of a region in the plane to calculate the area between a curve and the x-axis. 4.2 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 definition of the area of a region in the plane to calculate the area between a curve and the x-axis. 4.3 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. HW – pg. 268 # 23 – 43 odds, # 47 – 55 EOO, # 71 & 72 11 Week 3 Week 2 Multiple Madness #6/7 Work on 4.2/4.6 HW OR 20-min Ride 12 4.1A TSW calculate the general & particular antiderivative of a function. TSW sketch the antiderivative given a graph of f’. HW – pg. 255 # 9 – 41 odds, # 43 – 47 all, # 55, 59 18 19 MLK DAY No School 20-min Ride due today = 20 test points 4.5 TSW use the substitution rule to evaluate definite and indefinite integrals. HW - pg. 304 # 7, 15, 17, 23, 25, # 43 – 59 EOO, # 61 – 67 odds, # 71, 75, 79 (17 Problems Total) 25 Week 4 AP Calc AB Baldwin 26 HW – pg. 278 # 3 – 49 odds, # 55 & 57 13 Thu 7 4.2/4.6 TSW estimate the area under a curve using the Midpoint & Trapezoidal Rule. HW – pg. 314 #1 – 17 odds pg. 269 #63 – 66 all 14 4.1B TSW use the antiderivative to solve position, velocity, & acceleration problems. HW – pg. 255 # 65 – 85 odds, & 94 HW – pg. 255 # 65 – 85 odds, & 94 - Have students assemble and begin to fill out their “Integrator” chart. 20 21 Group Quiz HW – 5.7 pg. 385 # 1, 3, 7, 9, 11, 19, 21, 23 27 8 Early Release Staff Development Pass out 20-min Ride Due Tues, Jan 20, 2015 SHOW WORK!! 4.1B TSW use the antiderivative to solve position, velocity, & acceleration problems. 5.7 TSW recognize & evaluate integrals resulting in arctan x & arcsin x. Fri 15 4.4 TSW understand & Apply the Fundamental Thm of Calculus. Evaluate definite integrals. TSW calculate definite and indefinite integrals. HW – pg. 291 # 5 – 25 EOO, #27 – 37 odds, # 55 – 59 all, 73 – 93 odds, 74 22 5.2/5.4 TSW recognize & evaluate integrals of exponential & natural log functions. HW – 5.2 pg. 338 # 1 – 33 EOO, 53 5.4 pg. 338 # 85 – 105 EOO 28 29 7.1 Calculate the area between 2 curves. Integral Review Integral Review Integral Review Integral Test HW – pg. 452 # 1 – 5 odds, 13, 15 – 39 EOO # 43 – 51 odds AP Calc AB Baldwin Week 5 February 2016 Mon 1 Tue 2 Wed 3 7.1 HW Questions 4.4 Calculate the average value of a function & apply the Mean Value Theorem for Integrals. NO SCHOOL PROFESSIONAL DEVELOPMENT HW - pg. 291 # 39, 41, 43 – 50 all Week 7 Week 6 8 7.3 TSW calculate volumes by revolution using the cylindrical shell method. HW – Shell Method on Worksheet (set-up & use calc to evaluate) HW – 7.3 pg. 472 # 1 – 21 EOO, 27 Fri 5 7.2A TSW calculate volumes by revolution using the disk/washer method. 7.2A TSW calculate volumes by revolution using the disk/washer method. HW – Disk/Washer Method on Worksheet (set-up & use calc to evaluate) HW – 7.2A pg. 463 # 1 – 21 EOO, 23, 27, 33, 34 10 11 12 7.2B TSW calculate the volume of a solid given the base and cross-section. Early Release P/T Conferences Early Release HW – 7.2B pg. 465 #61 – 63 all Skip 63d Chapter 7 Quiz 15 16 17 18 19 President’s Day No School Chapter 7 Quiz Area & Volume Review Area & Volume Review Area & Volume Test Pass out: Integral Qualifier A & Key to practice 22 8.2 TSW evaluate integrals using integration by parts. Week 8 9 7.3 TSW calculate volumes by revolution using the cylindrical shell method. Thu 4 23 8.2 TSW evaluate integrals using integration by parts. HW – pg. 531 # 5 – 33 EOO skip 21 & 29, # 47 – 55 odds 24 Integral Qualifier A (practice in groups) 25 26 Differential Equations: 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 Differential Equations: 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 HW – Slope Field Packet AP Calc AB Baldwin March 2016 Mon Week 9 29 AP MC & FR Quiz: Area & Volume Tue 1 Differential Equations: Find y using separation of variables Wed 2 Thu 3 Fri 4 Integral Qualifier B AP MC & FR Quiz: Differential Equations Early Release 11 Review HW – Differential Equations WS Review 8 9 10 Pass Back & Go Over: Review 8.2 & Differential Eqs TEST AP MC/FR: Area & Volume AP MC & FR Quiz: Integrals HW – AP MC Packet Due on Thursday 3/17 14 Pi Day! 15 16 17 18 Assign Free Response Project: Project Rubric FR questions Group signup sheet Goal Setting Integral Qualifier C Grade and go over AP MC: Sample Exam Finish going over AP MC: Sample Exam 21 22 23 24 25 30 31 1 *FRQ practice 1,2, 3 *FRQ practice 4,5,6 Project Work Day Spring Break Week 11 Week 10 7 SPRING BREAK 28 29 Pass Back & Go Over: Week 12 Free Response Project Part 1 due AP MC/FR: Integrals AP Test Tips: * handout Super-Cool formula sheet! Score breakdown Do’s & Don’ts AP Calc AB Baldwin Mon 4 Tue 5 Wed 6 Thu 7 Free Response Presentations Free Response Presentations Free Response Presentations Free Response Presentations Week 15 Week 16 Fri 8 Early Release 11:30 am Pizza = $1/slice Auxillary Gym AP Calculus AB Practice Exam = ½ Final Exam 15 Early Release 11 12 13 14 AZMerit Writing (9, 10, 11) AZMerit Math (9, 10, 11) AZMerit Reading (9, 10, 11) AIMS Science (9th) Period 4 Go over AP Practice Exam 1 FRQ’s & MC Period 1 & 2 Go over AP Practice Exam 1 FRQ’s & MC Period 4 Go over AP Practice Exam 1 FRQ’s & MC 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 28 29 SPRING Break Day No School Go over AP Practice Exam 2 MC Go over AP Practice Exam 2 MC Go over AP Practice Exam 2 FRQ’s Go over AP Practice Exam 2 FRQ’s Week 14 Week 13 April 2016 Period 1 & 2 Go over AP Practice Exam 1 FRQ’s & MC 22 SPRING Break Day No School 3 questions 45 minutes AP Calc AB Baldwin 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 7:40am – Noon Gym Bring your Calculator! Early Release Stand & Deliver AP Chinese (PM) Week 18 9 6 10 11 12 13 AP Biology AP Music Theory AP Physics C: Mechanics AP Physics C: Electricity & Magnetism AP US Government AP French (PM) AP English Lang & Comp AP Statistics AP World History AP Statistics (PM) AP Micro Economics Stand & Deliver Stand & Deliver Stand & Deliver 17 Week 19 16 13 Work on Playdoh Project 20 Week 20 23 Assign Playdoh Project Work on Playdoh Project Work on Playdoh Project 18 19 20 Work on Playdoh Project Work on Playdoh Project Playdoh Project Due 24 25 26 Early Release FINALS Early Release FINALS Last Day for Students 27 Last day for seniors 27