Unit 1 Pre-Calculus Review
Day 1 Quiz Review of Unit Circle Quiz 1 . Homework Trig Cards Due Friday!! Day 2 Polynomial Equations/Factoring Review Equations Worksheet, Youtube video solving inequalities, Warm Up, Online practice, Factoring Practice Day 3 Equations of Lines Review Worksheet, Warm Up Graph, Youtube Video Day 4 Rational Equations/Factoring Review Youtube, Worksheet, Warm Up Day 5 Quiz Week 1 Day 6 Evaluating Functions Review, Video 1, Video 2 The difference quotient, Composition of Functions Worksheet, Warm Up Day 7 Exponential and Logarithmic Equations, Warm Up, Worksheet, YouTube Video Day 8 Trigonometric Equations, Worksheet, Youtube, Warm Up Day 9 Graphing Functions, Warm Up, Classwork p. 28 (6th edition Larson, Hostetler, Edwards) 1-15 odds, 40, 41, 43, Worksheet Graphs/Transformations Day 10 Pretest Preliminary Unit (P Chapter) , Warm Up Day 11 Test P Chapter Unit 2 Limits
Day 12 Warm Up Practical Linear Interpretation, Computer Lab Exploration of Supports for Calculus, Video Day 13 Limits Graphical Interpretation: Warm Up, Video, Classwork/Homework Worksheet Day 14 Limits Tabular Format: Warm Up, Classwork/Homework The Calculus Problem Book pages 16 and 17 (above) Day 15 Limits: Evaluating Analytically Using Direct Substitution, Factoring and Conjugates, Warm Up, Video. Worksheet 1, Worksheet 2 Day 16 Limits: Evaluating Analytically Piecewise and Absolute Value Limits, Warm Up, Video, Worksheet 1, Worksheet 2 Day 17 Limits: Quiz (Friday 9/19) Day 18 Limits: Continuity, One Sided Limits, Special Trig Limits and IVT, Warm Up, Video, Worksheet 1 (The Calculus Problem Book CPB), Worksheet 2 (Kuta) Day 19 Limits: IVT, Continuity Packet Infinite Limits (as x approaches infinity or limits that equal infinity), Infinite Limits Worksheet, Video Limits at Infinity, Video Limits of Exponential Functions Day 20 Limits: Pretest, Pretest Answers Day 21 Limits: Test Day 22 Average Rate of Change: Warm Up, Worksheet, Video, Homework Worksheet Unit 3 Derivatives
Day 23 The Tangent Line Problem: Warm Up, Worksheet Definition of Derivative Day 24 The Tangent Line Problem Day 2, No Warm Up, Homework Derivative at a Point Worksheet, Classwork Calculus Textbook (Calculus 6th ed Larson, Hostetler, Edwards) page 99,100 Day 25 The Power Rule for Derivatives, Homework Worksheet, Warm Up Day 26 Quiz Power Rule, Tangent Lines, Limits Day 27 HSA....Complete 2012 Multiple Choice Mock Exam Day 28 HSA...Complete SAT Algebra Packet Day 29 Trig Derivatives/Product Rule. Classwork Worksheet, Homework Worksheet, Product Rule Video, Warm Up Day 30 Quotient Rules/Trig Derivatives, Warm Up, Homework Quotient Rule, Classwork (Calculus 6th edition), Quotient Rule Rap Video Day 31 No Warm Up Practice Derivative Rules pg. 121 Calculus 6th ed. 3,5,9,11,21,23,29,31,33,35,37,41,51,53,55,57,59,61,67 Day 32 Chain Rule Day 1 Warm Up, Video, Homework, Classwork pg. 130 6th ed. 7 - 29 odds, 61, 73 Day 33 Chain Rule Day 2 The Trigs: No Warm Up, Oral Quiz, Classwork pg. 131 4,11,15,25,43,47,53,61, Homework Day 34 PSAT Given (October 15th, 2014) Day 35 Chain Rule, 3rd Day Derivatives Using Tables: Warm Up, Chain Rule Table Worksheet, Table Worksheet Answer Sheet Day 36 Derivatives of Exponential Functions Day 1. NO WARM UP, Oral Quiz, Classwork pg. 318 41-52, Homework, Video, Oral Quiz Answers Day 37: (10/21/14) Derivatives of Exponential Functions Day 2: Warm Up, Classwork and Homework Day 38: Derivatives of Natural Logs Day 1: Oral Quiz Worksheet, Classwork, Homework, Homework Solutions, Video Derivatives of Natural Logs Day 39: Derivatives of Natural Logs Day 2: Warm Up, Classwork (Calc 6th ed. Larson, Hostetler, Edwards pg. 319 45 - 55 odds, 67,68) Day 40: Quiz Exponential and Logarithmic Functions Day 41: Implicit Differentiation Day 1, Warm Up, Video Implicit Differentiation, Classwork, Online Homework Visual Calculus Day 42: Implicit Differentiation Day 2, No Warm Up Oral Quiz Day 43: Practice Incentives Exam, 80% pass line Day 44: Incentives Exam, 80% pass line Day 45: Halloween Activity END OF FIRST QUARTER Day 46: Review Day 47: Implicit Differentiation: AP Style Questions Warm Up, Classwork, Homework, Classwork Solutions, Warm Up Solutions, Homework Solutions, More Practice Problems Day 48: 110414 Derivative of Inverses: Warm Up, Classwork Board Problems, Homework, Video inverse trigs, Homework Solutions Day 49: Derivative of Inverses Day 2, Classwork Inverse Trigs, No Warm Up, Oral Quiz Day 50: Quiz on Derivatives on Inverse Trigs Day 51: Related Rates Day 1, Worksheet and Solutions, Warm Up Implicit Differentiation AP Problem Day 52: Related Rates Day 2, No Warm Up, Oral Quiz Day 53: November 13th 2014 Pretest Derivatives Test, Warm Up 2007 AP Free Response #5a and 5b, Pretest Derivatives Test Solutions Day 54: Review Day 2: Pretest Number 2 Derivatives and Computer Lab Day 55: Test Derivatives Unit 4 Applications of the Derivative Day 56: Application #1 Extrema on an Interval Day 1, Critical Numbers and Increasing and Decreasing Intervals Warm Up 2003 Free Response Question 6a and 6c, Classwork, Homework, Applications of the Derivative Multiple Choice Packet Day 57: Extrema on an Interval Day 2, No Drill, Board work Finding Increasing and Decreasing Intervals, Video Increasing and Decreasing Day 58*: (November 20th, 2014) Application #2 Relative Maximums and Minimums Warm Up 2012 FR #4a, 4b, 4c, Relative Extrema on an Interval Day 3, Classwork AP Packet, Homework Kuta Worksheet, Video Relative Maximums and Minimums Day 59: College Fair Day 60: Application #3 Absolute Extrema, Warm Up 2007 FR #6a, 6b and 6c, Homework Kuta, Classwork {from the AP Applications of the Derivative Packet, Day 56, '88 #33, '69 #21, '98 #22, '03 18, '69 #7, '85 #2, '93 #15, '97 #85, '93 #44}, Video Finding Absolute Extrema Day 61: Application #4 The Second Derivative, Concavity and Points of Inflection, Warm Up (Based on 2011 Form B FR #4), Classwork {AP Applications of the Derivative Packet}, Homework, Video Points of Inflection and Concavity -Day 62: Application #5 Mean Value Theorem; Warm Up 2005 FR #4, Classwork Kuta MVT, Video MVT, Homework Day 63: Application #6 Rolle's Theorem, Oral Quiz Paper, Video Rolle's Theorem, First f prime graph problem Day 64: Sub assignment (December 3rd, 2014). First Quarter Exam Mastermath Day 65: Application #7 The Second Derivative Test for Relative Extrema, Warm Up Second F Prime Graph, Video Using Second Derivative Test, Classwork 2nd Derivative Test, Homework 2nd Derivative Test (with answers), Prequiz Applications of the Derivative with Answers (Rolle's Theorem, MVT, FDT, SDT) Day 66: Quiz Applications of the Derivative Part 1 Day 67: Application #8 Particle Motion (Position Velocity Acceleration PVA) Warm Up, Classwork 1, 2, 3, Homework, Powerpoint Day 68: Particle Motion Day 2: AP Free Response Packet PVA, AP Free Response Solutions Packet Day 69: Application #9 Optimization, No Warm Up, Oral Quiz, Optimization Classwork/Homework and Solutions, Video Optimization Day 70: Optimization Day 2, Warm Up, Classwork The Norman Window Problem Day 71: Pretest Applications of the Derivative Pretest 1, Pretest 2 Day 72: Test Applications of the Derivative Non Calculator Part Day 73: Test Applications of the Derivative Calculator Part Unit 5 Integration Day 74: Simple Power Rule for Integration Warm Up, Classwork and Homework Packet, Solutions Day 75: Power Rule for Integration Day 2, Board Warm Up, Homework Online Textbook, Section 4.1 15 - 63 odds, 77, 79 Day 76: Fundamental Theorem of Calculus, Board Warm Up, Homework Online Textbook, Section 4.4 5 - 31 odds Day 77: 2nd Fundamental Theorem of Calculus, Board Warm Up, Classwork pg. 283 67 - 83 odds Day 78: Christmas Activity Day 79: First Day of New Year 2nd FTC Mean Value Theorem for Integrals Warm Up and 2006 Free Response 3, Homework Online Textbook Section 4.4 47, 48, 49, 50, 61, 63 Day --: Snow Day (January 6th, 2015) Day 80: Average Value Warm Up, Average Value Free Response Packet Day 81: Average Value Day 2 Warm Up (1988 MC 1 - 5), Multiple Choice Average Value Problems (MC problems from 1985 thru 2008 on average value) Day 82: Quiz Average Value Day 83: Riemann Sums (Rt. Bound, Lt. Bound, Midpoint, Trapezoidal) Introduction Packet Day 84: Riemann Sums: Multiple Choice AP Questions (MC problems from 1997 to 2008) Day 85: Riemann Sums Free Response AP Questions Day 86: Pretest Number 1 Riemann Sums, Average Value, General Power Rule Day 87: Pretest #2: Riemann Sums, Basic Integration, FTC Day 88: Test Integration Part 1: Riemann Sums, Average Value, General Power Rule, FTC Day 89: Position, Velocity, Acceleration PVA AP Free Response Packet. No Warm Up Total Distance. Day 90: 1/27/15 U Substitution Day 1, Warm Up 1998 MC 78,79,80, Classwork , Homework Online Textbook Section 4.5 7 - 39 odds Video U substitution Day 91: U Sub Day 2, Warm Up 2012 FR #4, Classwork, Homework Online Textbook Section 4.5 41-73 odds, Video U Substitution Day 92: U Sub Day 3, Warm Up, U Sub Practice Quiz Day 93: U Substitution Quiz Day 94: Integrals Involving Natural Logs Day 1, Speed Drill Warm Up, Classwork Larson, Hostetler, Edwards 6th Edition pg. 327 1 - 15, Homework Online Textbook Section 5.2 1-21 odds Day 95: Integrals Involving Natural Logs Day 2, Speed Drill Warm Up, Classwork Day 96: Integrals Involving Exponential Functions: No Warm Up (Reviewed Homework), Classwork LHE 6th Ed pg. 346 Board Work, Homework Online Textbook Section 5.4 85 - 109, Video Integrating Exponential Functions Day 97: Integrals Involving Exponential Functions: Warm Up 2011 Free Response #6 Form A, Prequiz Day 98: Quiz Integration of Natural Logs and Exponential Functions Day 99: Integration Involving Inverse Trigonometric Functions Warm Up MC 1998 13 - 16 Classwork pg. 390 LHS 6th ed. 1 - 31 odds, Homework Online Textbook 5.7 1 - 37 odds Day 100: Integration Technique Separation of Variables AP Free Response Packet, Oral Quiz Free Response 2003 Separation of Variables, Video Day 101: Separation of Variables Day 2 Classwork Multiple Choice Worksheet Day 102: Separation of Variables Day 3 Oral Quiz Day 103: Pretest #1 Integration Test II. Day 104: Pretest #2 Integration Test II Day 105: Test Integration Part II. U substitution, Exponential and Logarthmic Functions, Inverse Trigonometric Integrals, Separation of Variables Day 106: Debrief Test Integration Part II Unit 6 Applications of Integration Day 107: Application 1 Exponential Growth and Decay Warm Up 1998 4-8 81-84 Video Exponential Growth Packet, Video #2 Day 108: Exponential Growth and Decay Day 2 Warm Up 1985 MC 27 - 33 all Day 109: Exponential Growth and Decay Day 3 Classwork pg. 363 1 - 27 odds 6th edition Larson, Hostetler and Edwards Day 110: BHM Assembly Day 111: Snow Day 3/2/15 Day 112: Exponential Growth Word Problems Classwork pg. 363 29 - 59, 6th edition LHE Day 113: Application #2: Area Between 2 Curves Warm Up Free Response #6 2014 Day 114: Snow Day 3/5/15 Day 115: Snow Day 3/6/15 Day 116: Area Day 2 AP Multiple Choice Questions on Area Warm Up Free Response #5 2014 Day 117: Area Day 3 AP Free Response Questions on Area Packet_ Warm Up Timed MC Worksheet 93 MC 1 - 7 Day 118: Review Area and Exponential Growth, Warm Up Day 119: Review Area and Exponential Growth, Warm Up Day 119: Quiz Area and Exponential Growth Day 120: Volume Day 1 Warm Up Timed MC Barron's AB Practice Exam 1 MC 1 - 9 Day 121: Volume Day 2 AP Multiple Choice Questions on Volume Day 122: Volume Day 3 AP Free Response Questions on Volume (use AP Packet listed on Day 117) Day 123: Cross-Section Perpendicular Day 1 (Continue to use Day 117 Packet) Day 124: Cross Section Perpendicular Day 2 Day 125: 3/23/15 Review of Area, Volume and Cross Section Perpendicular Day 1 Day 126: Review of Area Volume and Cross Section Perpendicular Day 2 Pretest Barron's Pretest Answers Day 127: Test on Area, Volume and Cross Section Perpendicular End of New Material in AP AB Calculus Day 128: In Class Mock Exam Section 1 Non Calculator Multiple Choice Day 129: In Class Mock Exam Section 2 Calculator Multiple Choice Review Section 1 Day 130: In Class Mock Exam Section 3 Calculator Free Response Section Review Section 2 Day 131: In Class Mock Exam Section 4 Non Calculator Free Response Review Section 3 Day 132: Review Section 4. Compilation of Scores on 1 - 5 Scale (use online calculator AP Pass) Review of AB Calculus and Special Emphasis Concepts Day 133: First Day After Spring Break Video 1 , Video 2 Calculus in 20 minutes Day 134: Special Emphasis Day 2 Second FTC Graphical Interpretation Oral Quiz 1 Day 135: April 15th, 2015 No Class: SAT given across the county Day 136: 3 Free Response Questions (2013) taken in 45 minutes Day 137: 3 Free Response Questions taken in 45 minutes Day 138: Review 2nd FTC Graphs and Oral Quiz 2 Day 139: Quiz 2nd FTC Graphs Day 140: Special Emphasis Topic 2: Fluid In/Fluid Out Free Response Questions Packet Day 141: Continue working on Fluid In/Fluid Out Problems Day 142: Special Emphasis Topic 3: Derivative Rules |
Various web supports:
IXL. Helps with Precalculus The Calculus Problem Book. Gives many Calculus problems and solutions. STRONG and accurate problems that are very appropriate for the AP exam. Not only does it give worksheets on specific concepts, it also gives whole tests on big units (i.e. a test on Limits) Multiple Choice Problems. Gives multiple choice problems from real previously released exams. Dates back from 1969 up to 1998. Problems have answers and solutions as well. KutaSoftware Calculus: Gives free worksheets of nearly every topic taught in AB Calculus. AP Central: The number one website you should use for ANY AP class. Gives every free response question for the last ten years. PatrickJMT: Presents over 1600 videos on a wide range of topics in calculus. Nearly every topic in calculus is covered in one of the videos. Just type in what you want to know about and there's a video out there for it. Self Paced Calculus: A high school decided to offer the entire course online. Navigate the "stages" and find nearly every topic addressed broken down with videos and worksheets. Online Quizzes: These online quizzes are FREE and they give you IMMEDIATE FEEDBACK for nearly every topic. TAKE THEM BEFORE YOU TAKE A TEST OR QUIZ Visual Calculus: A website that gives many videos, practice problems, and online quizzes for the entire spectrum of AB Calculus. Go to this site before a test and test your knowledge of any isolated concept. Paul's Online Notes: Gives many good tips on HOW TO STUDY FOR MATHEMATICS Online textbook: Entire Calculus textbook (8th edition Larson, Hostetler, Edwards) that has the odd problems solved out directly next to the problem. |