• Home
    • Syllabus >
      • Intro
      • Digital Codes
      • Grading
      • Supplies
  • PC Q4
    • Q1 >
      • 1 - Limits and Continuity >
        • 1.1 Limits Numerically & Graphically
        • 1.2 Limits Algebraically
        • 1.3 Limits Graphical and Analytical Connections
        • Quiz #1
        • 1.4 Limits of Exponential Functions
        • 1.5 Limits of Trig Functions
        • 1.6 Limit Based Continuity
        • 1.7 Intermediate Value Theorem
        • 1.8 Limits with Infinity
        • Quiz #2
        • Review MC
        • Review FRQ
        • Review Optional
        • Test #1
      • 2 - Understanding the Derivative >
        • 2.1 The Difference Quotient
        • 2.2 Derivative Graphically and Numerically
        • 2.3 Derivatives: Power Rule, Sine and Cosine
        • 2.4 Connections f, f' and Trig
        • 2.5 Derivative as Tangent Line
        • Review
        • Quiz #3
        • Test #2
        • Progress Checks
      • Review Unit 1 & 2 >
        • Limits
      • 3 - Rules of Differentiation >
        • 3.1 Product Rule
        • 3.2 Quotient Rule & Trig Rules
        • 3.3 Chain Rule
        • Practice Before Quiz #4
        • 3.4 Derivative of e^f(x) and ln (f(x))
        • Calculator - Evaluating Derivatives
        • 3.5 Derivative Rules Log and Exponential Functions
        • 3.6 Derivatives of Inverse Functions
        • FRQ 2006 #6
        • 3.7 Continuity and Differentiablity
        • Review
    • Q2 >
      • 4 - Application of the Derivative (part 1) >
        • 4.1 Implicit Differentiation
        • FRQ 2000 #5
        • FRQ 2008 #6 Form B
        • FRQ 1998 #6
        • FRQ 2015 #6
        • 4.3 Related Rates
        • FRQ 2005 #5 Form B
        • FRQ 2002 #5
        • FRQ 2002 #6 Form B
        • Extra Practice Related Rates
        • 4.4 Analytical Connections f, f', f'' (part 1)
        • 4.5 Analytical Connections f, f', f'' (part 2)
        • 4.6 Connecting Graphs of f, f', f''
        • FRQ 2001 #4
        • FRQ 2006 #2 Form B
        • FRQ 2007 #6
        • Test #5 Extra Practice
      • Exam Review
      • 5 - Applications of the Derivative Part 2 >
        • 5.1 Extreme Value Theorem & the Candidates Test
        • 5.2 Rolle's Theorem & MVT
        • 5.3 EVT, IVT, RT, MVT
        • 5.4 Particle Motion
        • FRQ 1998 #3, 2000 #2, 2002 #3
        • 5.5 Net and Total Distance
        • 5.6 Optimization Problems
        • APClassroom 5.6 Key
        • 5.7 L'Hospital's Rule
  • Calc Help
  • Cal
  • 2021
    • Q1 2021 >
      • Unit 3 Differentiation: Composite, Implicit & Inverses >
        • 3.1 Chain Rule
        • 3.2 Implicit Differentiation
        • FRQ 2000 #5
        • FRQ 2008 #6 Form B
        • FRQ 1998 #6
        • FRQ 2015 #6
        • 3.3 Differentiating Inverse Functions
        • 3.4 Differentiating Inverse Trig Functions
        • 3.5 Procedures for Calculating Derivatives
        • 3.6 Calculating Higher-Order Derivatives
        • FRQ 2006 #6
        • Unit 3 Progress Check
    • Q2 2021 >
      • Unit 4 Contextual Applications of Differentiation >
        • 4.1 Interpreting Meaning of Derivative in Context
        • 4.2 Straight Line Motion - Connecting Position, Velocity & Acceleration
        • 4.3 RATES OF CHANGE IN NON-MOTION CONTEXTS
        • Crack the Code Calc-Medic
        • Lovely Ladybug Calc-Medic
        • 4.4 INTRODUCTION TO RELATED RATES
        • 4.5 SOLVING RELATED RATES
        • Speed Dating - MCQ Related Rates
        • FRQ 2002 #5
        • FRQ 2002 #6 Form B
        • FRQ 2005 #5 Form B
        • 4.6 LOCAL LINEARIZATION
        • 4.7 L'Hospital's Rule
        • Progress Check MCQ
        • Progress Check FRQ Part A
        • Progress Check FRQ Part B
      • Unit 5 Analytical Applications of Differentiation >
        • 5.1 Mean Value Theorem
        • 5.2 Extreme Value Theorem
        • 5.3 Increasing or Decreasing?
        • 5.4 1st Derivative Test
        • 5.5 Candidates' Test
        • 5.6 DETERMINING CONCAVITY OF F(X) ON DOMAIN
        • 5.7 Using 2nd Derivative Test to Determine Extrema
        • ​5.8 SKETCHING GRAPHS OF F AND F'
        • 5.9 Part 1 Connecting F, F" and F"
        • 5.9 Part 2 Connecting F, F" and F"
        • FRQ 2001 #4
        • FRQ 2006 #2 Form B
        • FRQ 2007 #6
        • 5.10 Intro to Optimization
        • 5.11 Solving Optimization Problems
        • 5.12 Exploring Behaviors of Implicit Differentiation
        • Review Unit 5
      • Midterm Review
    • Q3 >
      • 6 - Basic Integration & Application >
        • 6.1 Integrating Power Rule
        • 6.2 Riemann Sum
        • 6.3 1st Fundamental Theorem of Calculus
        • 6.4 Properties of Definite Integrals
        • FRQ 2003 #4, 1998 #3, 1999 #3
        • 6.5 Fun'l Th'm of Calculus, Particle Motion, and Average
        • FRQ 2001 #3, 2002 #3 Form B
        • Mario Particle Motion
        • Mario Motion Full Video
        • 6.6 Interpretations of Derivative and Integrals
        • FRQ 2005 #2, 2002 #2 form B, 2000 #4
        • 6.7 Average Value of a Function
        • FRQ 2003 #3, 2004 #1, 2001 #2
      • 7 part 1 - Advanced Integration & Application >
        • 7.1 2nd Fundamental Theorem of Calculus
        • FRQ 2004 #5
        • 7.2 U Substitution
        • 7.3 Differentials
        • FRQ 2000 #6
        • FRQ 2001 #6
        • FRQ 2002 #5 FORM B
        • FRQ 2011 #4
        • Extra: Proofs of trig derivatives
      • 7 part 2 - Advanced Integration & Application >
        • 7.4 Slope Fields
        • FRQ 2004 #5 FORM B
        • FRQ 2008 #5
        • FRQ 2010 #5 FORM B
        • FRQ 2004 #6
        • 7.5 Area Between Curves
        • 7.6 Volume Disc Method
        • 7.7 Volume Washer Method
        • FRQ 2008
        • 7.8 Volumes with Cross Sections
        • FRQ 2013 #5
        • Extra: Proofs of trig derivatives
        • FRQ 2014 #2
        • FRQ 2010 #1 FORM B
        • FRQ 2012 #2
        • Test Chapter 8
    • Q4 Review >
      • Trig Inverses
      • Squeeze Theorem
      • Virg and Mark >
        • Unit 1 Limits
        • Unit 2 Derivative Rules
        • Unit 3 Derivative Rules of Composites
        • Unit 4 Contextual Applications
        • Mixed Bag Review Units 1 - 4
        • Unit 5 Analytic Applications of Derivative
        • Unit 6 Integration & Accumulation of Change
        • Unit 7 Differential EQ
        • Mixed Bag Review Units 5 - 7
      • AP Classroom FRQ >
        • FRQ #1, #2
        • FRQ #3, #4
        • FRQ #5, #6
        • FRQ #7, #8
        • Exam Updated Information
        • FRQ #9, #10
      • Released MC
      • Released FRQ >
        • 2021
        • 2019
        • 2018
        • 2017
        • 2016
        • 2015
  • OG FRQ
  • Smacmath
  • OLD 2018
    • Semester 1 >
      • Unit 1 Limits >
        • 1.1 Limits Graphically
        • 1.2 Limits Analytically
        • 1.3 Asymptotes
        • 1.4 Continuity
        • Review 1
      • Unit 2 The Derivative >
        • 2.1 Average Rate of Change
        • 2.2 Definition of Derivative
        • 2.3 Differentiability
        • Review 2
      • Unit 2 The Derivative
      • Unit 3 Basic Differentiation
      • 4 - More Derivatives >
        • 4.1 - Exp & Log Derivatives
        • 4.2 - Inverse Derivatives
        • 4.3 - L'Hopital's Rule
        • Review 4
      • 5 - Curve Sketching >
        • 5.1 Critical Values
        • 5.2 Optimization
        • 5.3 Maximizing Profit
        • Review 5
      • 6 - Implicit Differentiation >
        • 6.1 Implicit vs Explicit
        • 6.2 Related Rates
    • Pics
    • BBAG
    • Semester 2 >
      • 7 - Riemann Sums >
        • 7.1 - Rectangular Approximation
        • 7.2 - Trapezoidal Approximation
        • 7.1 - 7.2 Test Prep
      • 8 - Integration >
        • 8.1 - Definite Integrals
        • 8.2 - First Fundamental Theorem of Calculus
        • 8.3 - AntiDerivatives
      • 9 - FTC Part 2 >
        • 9.1 - The 2nd FTC
        • 9.2 - Trig Integrals
        • 9.3 - Average Value
        • 9.4 - Net Change
        • Review 9
      • 10 - Slope Fields and U-Substitution >
        • 10.1 Slope Fields
        • 10.2 U-Substitution Indefinite Integrals
        • 10.3 U-Substitution Definite Integrals
        • 10.4 U-Substitution Trig Functions
        • Review U-Substitution
        • 10.5 Differential Equations
        • 10.6 Review
      • 11 Area and Volumes >
        • 11.1 Area Between Curves
        • 11.2 Solids of Revolution Disc
        • 11.3 Solids of Revolution Washer
        • 11.4 Perpendicular Cross Sections
        • Review 11
    • Hall Pass
    • Test Prep >
      • Previous FRQ
      • 2016 Practice Test
      • 2008 Test Prep
      • Calculus Parodies >
        • Hello
        • Bohemian Rhapsody
      • 1998 Test Prep
  • Home
    • Syllabus >
      • Intro
      • Digital Codes
      • Grading
      • Supplies
  • PC Q4
    • Q1 >
      • 1 - Limits and Continuity >
        • 1.1 Limits Numerically & Graphically
        • 1.2 Limits Algebraically
        • 1.3 Limits Graphical and Analytical Connections
        • Quiz #1
        • 1.4 Limits of Exponential Functions
        • 1.5 Limits of Trig Functions
        • 1.6 Limit Based Continuity
        • 1.7 Intermediate Value Theorem
        • 1.8 Limits with Infinity
        • Quiz #2
        • Review MC
        • Review FRQ
        • Review Optional
        • Test #1
      • 2 - Understanding the Derivative >
        • 2.1 The Difference Quotient
        • 2.2 Derivative Graphically and Numerically
        • 2.3 Derivatives: Power Rule, Sine and Cosine
        • 2.4 Connections f, f' and Trig
        • 2.5 Derivative as Tangent Line
        • Review
        • Quiz #3
        • Test #2
        • Progress Checks
      • Review Unit 1 & 2 >
        • Limits
      • 3 - Rules of Differentiation >
        • 3.1 Product Rule
        • 3.2 Quotient Rule & Trig Rules
        • 3.3 Chain Rule
        • Practice Before Quiz #4
        • 3.4 Derivative of e^f(x) and ln (f(x))
        • Calculator - Evaluating Derivatives
        • 3.5 Derivative Rules Log and Exponential Functions
        • 3.6 Derivatives of Inverse Functions
        • FRQ 2006 #6
        • 3.7 Continuity and Differentiablity
        • Review
    • Q2 >
      • 4 - Application of the Derivative (part 1) >
        • 4.1 Implicit Differentiation
        • FRQ 2000 #5
        • FRQ 2008 #6 Form B
        • FRQ 1998 #6
        • FRQ 2015 #6
        • 4.3 Related Rates
        • FRQ 2005 #5 Form B
        • FRQ 2002 #5
        • FRQ 2002 #6 Form B
        • Extra Practice Related Rates
        • 4.4 Analytical Connections f, f', f'' (part 1)
        • 4.5 Analytical Connections f, f', f'' (part 2)
        • 4.6 Connecting Graphs of f, f', f''
        • FRQ 2001 #4
        • FRQ 2006 #2 Form B
        • FRQ 2007 #6
        • Test #5 Extra Practice
      • Exam Review
      • 5 - Applications of the Derivative Part 2 >
        • 5.1 Extreme Value Theorem & the Candidates Test
        • 5.2 Rolle's Theorem & MVT
        • 5.3 EVT, IVT, RT, MVT
        • 5.4 Particle Motion
        • FRQ 1998 #3, 2000 #2, 2002 #3
        • 5.5 Net and Total Distance
        • 5.6 Optimization Problems
        • APClassroom 5.6 Key
        • 5.7 L'Hospital's Rule
  • Calc Help
  • Cal
  • 2021
    • Q1 2021 >
      • Unit 3 Differentiation: Composite, Implicit & Inverses >
        • 3.1 Chain Rule
        • 3.2 Implicit Differentiation
        • FRQ 2000 #5
        • FRQ 2008 #6 Form B
        • FRQ 1998 #6
        • FRQ 2015 #6
        • 3.3 Differentiating Inverse Functions
        • 3.4 Differentiating Inverse Trig Functions
        • 3.5 Procedures for Calculating Derivatives
        • 3.6 Calculating Higher-Order Derivatives
        • FRQ 2006 #6
        • Unit 3 Progress Check
    • Q2 2021 >
      • Unit 4 Contextual Applications of Differentiation >
        • 4.1 Interpreting Meaning of Derivative in Context
        • 4.2 Straight Line Motion - Connecting Position, Velocity & Acceleration
        • 4.3 RATES OF CHANGE IN NON-MOTION CONTEXTS
        • Crack the Code Calc-Medic
        • Lovely Ladybug Calc-Medic
        • 4.4 INTRODUCTION TO RELATED RATES
        • 4.5 SOLVING RELATED RATES
        • Speed Dating - MCQ Related Rates
        • FRQ 2002 #5
        • FRQ 2002 #6 Form B
        • FRQ 2005 #5 Form B
        • 4.6 LOCAL LINEARIZATION
        • 4.7 L'Hospital's Rule
        • Progress Check MCQ
        • Progress Check FRQ Part A
        • Progress Check FRQ Part B
      • Unit 5 Analytical Applications of Differentiation >
        • 5.1 Mean Value Theorem
        • 5.2 Extreme Value Theorem
        • 5.3 Increasing or Decreasing?
        • 5.4 1st Derivative Test
        • 5.5 Candidates' Test
        • 5.6 DETERMINING CONCAVITY OF F(X) ON DOMAIN
        • 5.7 Using 2nd Derivative Test to Determine Extrema
        • ​5.8 SKETCHING GRAPHS OF F AND F'
        • 5.9 Part 1 Connecting F, F" and F"
        • 5.9 Part 2 Connecting F, F" and F"
        • FRQ 2001 #4
        • FRQ 2006 #2 Form B
        • FRQ 2007 #6
        • 5.10 Intro to Optimization
        • 5.11 Solving Optimization Problems
        • 5.12 Exploring Behaviors of Implicit Differentiation
        • Review Unit 5
      • Midterm Review
    • Q3 >
      • 6 - Basic Integration & Application >
        • 6.1 Integrating Power Rule
        • 6.2 Riemann Sum
        • 6.3 1st Fundamental Theorem of Calculus
        • 6.4 Properties of Definite Integrals
        • FRQ 2003 #4, 1998 #3, 1999 #3
        • 6.5 Fun'l Th'm of Calculus, Particle Motion, and Average
        • FRQ 2001 #3, 2002 #3 Form B
        • Mario Particle Motion
        • Mario Motion Full Video
        • 6.6 Interpretations of Derivative and Integrals
        • FRQ 2005 #2, 2002 #2 form B, 2000 #4
        • 6.7 Average Value of a Function
        • FRQ 2003 #3, 2004 #1, 2001 #2
      • 7 part 1 - Advanced Integration & Application >
        • 7.1 2nd Fundamental Theorem of Calculus
        • FRQ 2004 #5
        • 7.2 U Substitution
        • 7.3 Differentials
        • FRQ 2000 #6
        • FRQ 2001 #6
        • FRQ 2002 #5 FORM B
        • FRQ 2011 #4
        • Extra: Proofs of trig derivatives
      • 7 part 2 - Advanced Integration & Application >
        • 7.4 Slope Fields
        • FRQ 2004 #5 FORM B
        • FRQ 2008 #5
        • FRQ 2010 #5 FORM B
        • FRQ 2004 #6
        • 7.5 Area Between Curves
        • 7.6 Volume Disc Method
        • 7.7 Volume Washer Method
        • FRQ 2008
        • 7.8 Volumes with Cross Sections
        • FRQ 2013 #5
        • Extra: Proofs of trig derivatives
        • FRQ 2014 #2
        • FRQ 2010 #1 FORM B
        • FRQ 2012 #2
        • Test Chapter 8
    • Q4 Review >
      • Trig Inverses
      • Squeeze Theorem
      • Virg and Mark >
        • Unit 1 Limits
        • Unit 2 Derivative Rules
        • Unit 3 Derivative Rules of Composites
        • Unit 4 Contextual Applications
        • Mixed Bag Review Units 1 - 4
        • Unit 5 Analytic Applications of Derivative
        • Unit 6 Integration & Accumulation of Change
        • Unit 7 Differential EQ
        • Mixed Bag Review Units 5 - 7
      • AP Classroom FRQ >
        • FRQ #1, #2
        • FRQ #3, #4
        • FRQ #5, #6
        • FRQ #7, #8
        • Exam Updated Information
        • FRQ #9, #10
      • Released MC
      • Released FRQ >
        • 2021
        • 2019
        • 2018
        • 2017
        • 2016
        • 2015
  • OG FRQ
  • Smacmath
  • OLD 2018
    • Semester 1 >
      • Unit 1 Limits >
        • 1.1 Limits Graphically
        • 1.2 Limits Analytically
        • 1.3 Asymptotes
        • 1.4 Continuity
        • Review 1
      • Unit 2 The Derivative >
        • 2.1 Average Rate of Change
        • 2.2 Definition of Derivative
        • 2.3 Differentiability
        • Review 2
      • Unit 2 The Derivative
      • Unit 3 Basic Differentiation
      • 4 - More Derivatives >
        • 4.1 - Exp & Log Derivatives
        • 4.2 - Inverse Derivatives
        • 4.3 - L'Hopital's Rule
        • Review 4
      • 5 - Curve Sketching >
        • 5.1 Critical Values
        • 5.2 Optimization
        • 5.3 Maximizing Profit
        • Review 5
      • 6 - Implicit Differentiation >
        • 6.1 Implicit vs Explicit
        • 6.2 Related Rates
    • Pics
    • BBAG
    • Semester 2 >
      • 7 - Riemann Sums >
        • 7.1 - Rectangular Approximation
        • 7.2 - Trapezoidal Approximation
        • 7.1 - 7.2 Test Prep
      • 8 - Integration >
        • 8.1 - Definite Integrals
        • 8.2 - First Fundamental Theorem of Calculus
        • 8.3 - AntiDerivatives
      • 9 - FTC Part 2 >
        • 9.1 - The 2nd FTC
        • 9.2 - Trig Integrals
        • 9.3 - Average Value
        • 9.4 - Net Change
        • Review 9
      • 10 - Slope Fields and U-Substitution >
        • 10.1 Slope Fields
        • 10.2 U-Substitution Indefinite Integrals
        • 10.3 U-Substitution Definite Integrals
        • 10.4 U-Substitution Trig Functions
        • Review U-Substitution
        • 10.5 Differential Equations
        • 10.6 Review
      • 11 Area and Volumes >
        • 11.1 Area Between Curves
        • 11.2 Solids of Revolution Disc
        • 11.3 Solids of Revolution Washer
        • 11.4 Perpendicular Cross Sections
        • Review 11
    • Hall Pass
    • Test Prep >
      • Previous FRQ
      • 2016 Practice Test
      • 2008 Test Prep
      • Calculus Parodies >
        • Hello
        • Bohemian Rhapsody
      • 1998 Test Prep
AP CALCULUS

test May 9, 2021

2022 Live Review Session

  1. Practicing With Derivatives & Chain Rule Video 4/20
    1. ​Handout​​​
    2. Key
  2. Working With Applications of the Derivative 4/21
    1. Handout
    2. Key
  3. How to Find Limits and Continuity 4/22
    1. Handout
    2. Key
  4. Evaluating Integrals and FTC 4/25
    1. Handout
    2. Key
  5. Focusing On IVT, EVT, MVT 4/26
    1. Handout
    2. Key
  6. Working with Applications of Integrals 1 4/27
    1. handout
    2. Key
  7. Working with applications of Integrals 2
    1. Handout
    2. Key
  8. Reviewing MC and FRQ
    1. Handout
    2. Key
AP Calculus AB ExamCountdown
Possible Solutions to 2001 FRQ as found on AP Central.
​2021 FRQ

2021 Live Review Sessions 7:00 pm

2021 Live Review Sessions
  1. Understanding Derivatives & Chain Rule
  2. Contextual & Analytical Applications of the Derivative
  3. How to Find Limits & Continuity
  4. Integrals & the Fundamental Theorem of Calculus
  5. Understanding the Big Theorems Including IVT, EVT, & MVT
  6. Application of Integrals (Part 1)
  7. Applications of Integrals (Part 2)
  8. Reviewing Multiple-Choice & Free-Response Questions
Picture

AP Calculus AB test format

Section I: Multiple Choice 45 Questions | 1 Hour 45 minutes | 50% of Exam Score
  • Part A: 30 questions; 60 minutes (calculator not permitted on paper and pencil exam).
  • Part B: 15 questions; 45 minutes (graphing calculator required).
    • Questions include algebraic, exponential, logarithmic, trigonometric, and general types of functions.
    • Questions include analytical, graphical, tabular, and verbal types of representations.
Section II: Free Response 6 Questions | 1 Hour 30 Minutes | 50% of Exam Score
  • Part A: 2 questions; 30 minutes (graphing calculator required).
  • Part B: 4 questions; 60 minutes (calculator not permitted on paper and pencil exam).
    • Questions include various types of functions and function representations and a roughly equal mix of procedural and conceptual tasks.
    • Questions include at least 2 questions that incorporate a real-world context or scenario into the question.
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