Home
Syllabus
>
Intro
Digital Codes
Grading
Supplies
Videos & Keys
Q1 2022
>
Unit 1 (Record) 2023
>
Unit 1.3 Limits from Graphs
Unit 1.5 Algebraic Properties
Quiz #1
Unit 1.6 Algebraic Manipulation
Quiz #2
Unit 1.8 L'Hospitals & Squeeze
Unit 1.9 MULTIPLE REPRESENTATIONS
Unit 1.11-1.13 Continuity
Unit 1.14 Infinite Limits & VA
UNIT 1.15 CONNECTING LIMITS AT INFINITY
Unit 1.16 IVT
Activities
>
Two Truths & Lie
Odd Man Out
Limits Card Sorter
Review
MC Practice
Review FRQ
Review Optional
Unit 2 Differentiation: Definition and Fundamental Properties
>
2.1 -2.4 DEFINING AVERAGE AND INSTANTANEOUS RATES OF CHANGE AT A POINT
Quiz 2.1 - 2.4 Details
2.5 - 2.6 APPLYING THE POWER RULE
Quiz 2.5-2.6 Details
2.7 DERIVATIVES OF COS X, SIN X, EX, AND LN X
2.8 - 2.9 THE PRODUCT/Quotient RULEs
Quiz 2.8-2.9 Details
2.10 FINDING THE DERIVATIVES OF TANGENT, COTANGENT, SECANT, AND/OR COSECANT FUNCTIONS
Review Unit 2
Test unit 2 Details
Unit 3 Differentiation: Composite, Implicit & Inverses
>
3.1 Chain Rule
FRQ 2012 #4abc
FRQ 2017 #6abc
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
Review Unit 3
Q2 2022
>
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
Big 10 Motion +
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
Review Unit 4 Record
Unit 5 Analytical Applications of Differentiation
>
5.1 Mean Value Theorem
5.2 Extreme Value Theorem
5.3, 5.4 Increasing or Decreasing? 1st Derivative Test
5.5 Candidates' Test
5.6 DETERMINING CONCAVITY OF F(X) ON DOMAIN
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 2022
>
Unit 6 Integration & Accumulation of Change (Record Style)
>
Unit 6.1 Exploring Accumulation of Change
Unit 6.2 Approximating Areas with Riemann Sums
Unit 6.3 Riemann Sums, Notation and Definite Integrals
Unit 6.4-6.5 Fundamental Th'm of Calculus
Unit 6.6 Applying Properties of Definite Integrals
Unit 6.7 - 6.8 Fun'l Th'm of Calc & Definite Integrals
Unit 6.9 Integrating Using Substitution
6.9 SmacStyle U Substitution
FRQ 2003 #4, 1998 #3, 1999 #3
FRQ 2005 #2, 2002 #2 form B, 2000 #4
FRQ 2003 #3, 2004 #1, 2001 #2
FRQ 2001 #3, 2002 #3 Form B
Unit 6.10 Integrating Functions Using Long Division & Completing Square
Unit 6.14 Selecting Techniques for Antidifferentiation
Unit 6 Exam Review
Unit 6 Practice Exam
Mario Particle Motion
Mario Motion Full Video
FRQ
APClassroom FRQ KEY
Unit 7 Differential EQ (Record)
>
7.1, 7.2 Diff EQ - Verifying Solutions
7.3, 7.4 Slope Fields
7.6, 7.7 Separation of Variables
FRQ 2000 #6 Diff EQ
FRQ 2004 #5 FORM B
FRQ 2008 #5
FRQ 2010 #5 FORM B
FRQ 2004 #6
7.8 Diff EQ with Exponential Models
Differential Eq Big 10
Review
Unit 8 Applications of Integration (Record)
>
8.1 Average Value
8.2 Integrals - s(t), v(t), & a(t)
8.3 Accumulation in Applied Context
8.4-8.6 Area between curves
FRQ 2008
8.7-8.8 Volumes with Cross Sections
8.9-8.10 Volume Disc Method
8.11-8.12 Volume Washer Method
FRQ 2013 #5
FRQ 2014 #2
FRQ 2010 #1 FORM B
FRQ 2012 #2
Review
Q4 Review
>
FRQ World
>
Common FRQ
FRQ Guide
OG FRQ
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
Trig Inverses
Squeeze Theorem
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
>
2023
2022
2021
2019
2018
2017
2016
2015
Calculus Parodies
>
Hello
Bohemian Rhapsody
Calc Help
Smacmath
Scavenger hunt 2024
>
Dugout
Library
Gym
Emler
Miller
Oslin
Flag
Xterra
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
Test Prep
>
Previous FRQ
2016 Practice Test
2008 Test Prep
1998 Test Prep
Hall Pass
Home
Syllabus
>
Intro
Digital Codes
Grading
Supplies
Videos & Keys
Q1 2022
>
Unit 1 (Record) 2023
>
Unit 1.3 Limits from Graphs
Unit 1.5 Algebraic Properties
Quiz #1
Unit 1.6 Algebraic Manipulation
Quiz #2
Unit 1.8 L'Hospitals & Squeeze
Unit 1.9 MULTIPLE REPRESENTATIONS
Unit 1.11-1.13 Continuity
Unit 1.14 Infinite Limits & VA
UNIT 1.15 CONNECTING LIMITS AT INFINITY
Unit 1.16 IVT
Activities
>
Two Truths & Lie
Odd Man Out
Limits Card Sorter
Review
MC Practice
Review FRQ
Review Optional
Unit 2 Differentiation: Definition and Fundamental Properties
>
2.1 -2.4 DEFINING AVERAGE AND INSTANTANEOUS RATES OF CHANGE AT A POINT
Quiz 2.1 - 2.4 Details
2.5 - 2.6 APPLYING THE POWER RULE
Quiz 2.5-2.6 Details
2.7 DERIVATIVES OF COS X, SIN X, EX, AND LN X
2.8 - 2.9 THE PRODUCT/Quotient RULEs
Quiz 2.8-2.9 Details
2.10 FINDING THE DERIVATIVES OF TANGENT, COTANGENT, SECANT, AND/OR COSECANT FUNCTIONS
Review Unit 2
Test unit 2 Details
Unit 3 Differentiation: Composite, Implicit & Inverses
>
3.1 Chain Rule
FRQ 2012 #4abc
FRQ 2017 #6abc
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
Review Unit 3
Q2 2022
>
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
Big 10 Motion +
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
Review Unit 4 Record
Unit 5 Analytical Applications of Differentiation
>
5.1 Mean Value Theorem
5.2 Extreme Value Theorem
5.3, 5.4 Increasing or Decreasing? 1st Derivative Test
5.5 Candidates' Test
5.6 DETERMINING CONCAVITY OF F(X) ON DOMAIN
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 2022
>
Unit 6 Integration & Accumulation of Change (Record Style)
>
Unit 6.1 Exploring Accumulation of Change
Unit 6.2 Approximating Areas with Riemann Sums
Unit 6.3 Riemann Sums, Notation and Definite Integrals
Unit 6.4-6.5 Fundamental Th'm of Calculus
Unit 6.6 Applying Properties of Definite Integrals
Unit 6.7 - 6.8 Fun'l Th'm of Calc & Definite Integrals
Unit 6.9 Integrating Using Substitution
6.9 SmacStyle U Substitution
FRQ 2003 #4, 1998 #3, 1999 #3
FRQ 2005 #2, 2002 #2 form B, 2000 #4
FRQ 2003 #3, 2004 #1, 2001 #2
FRQ 2001 #3, 2002 #3 Form B
Unit 6.10 Integrating Functions Using Long Division & Completing Square
Unit 6.14 Selecting Techniques for Antidifferentiation
Unit 6 Exam Review
Unit 6 Practice Exam
Mario Particle Motion
Mario Motion Full Video
FRQ
APClassroom FRQ KEY
Unit 7 Differential EQ (Record)
>
7.1, 7.2 Diff EQ - Verifying Solutions
7.3, 7.4 Slope Fields
7.6, 7.7 Separation of Variables
FRQ 2000 #6 Diff EQ
FRQ 2004 #5 FORM B
FRQ 2008 #5
FRQ 2010 #5 FORM B
FRQ 2004 #6
7.8 Diff EQ with Exponential Models
Differential Eq Big 10
Review
Unit 8 Applications of Integration (Record)
>
8.1 Average Value
8.2 Integrals - s(t), v(t), & a(t)
8.3 Accumulation in Applied Context
8.4-8.6 Area between curves
FRQ 2008
8.7-8.8 Volumes with Cross Sections
8.9-8.10 Volume Disc Method
8.11-8.12 Volume Washer Method
FRQ 2013 #5
FRQ 2014 #2
FRQ 2010 #1 FORM B
FRQ 2012 #2
Review
Q4 Review
>
FRQ World
>
Common FRQ
FRQ Guide
OG FRQ
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
Trig Inverses
Squeeze Theorem
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
>
2023
2022
2021
2019
2018
2017
2016
2015
Calculus Parodies
>
Hello
Bohemian Rhapsody
Calc Help
Smacmath
Scavenger hunt 2024
>
Dugout
Library
Gym
Emler
Miller
Oslin
Flag
Xterra
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
Test Prep
>
Previous FRQ
2016 Practice Test
2008 Test Prep
1998 Test Prep
Hall Pass
AP CALCULUS
2021
Questions 1, 2, 3, 4, 6
2021 FRQ
2021 FRQ Grading Rubric
Student sample responses
2021 YouTube explanation This is a playlist. Each video addresses one question.