2018ap Calculus

CALCULUS AB FREE-RESPONSE QUESTIONS CALCULUS AB SECTION II, Part A Time—30 minutes Number of questions—2. A GRAPHING CALCULATOR IS REQUIRED FOR THESE QUESTIONS. A tank has a height of 10 feet. The area of the horizontal cross section of the tank at height h feet is given. The function A, where. Ah is measured in square feet. These are example problems taken directly from previous years' exams. Even if you aren't taking the exam, these are very useful problems for making sure you understand your calculus (as always, best to pause the videos and try them yourself before Sal does).

2018 AP ® CALCULUS AB FREE-RESPONSE QUESTIONS CALCULUS AB SECTION II, Part A Time—30 minutes. Number of questions—2. A GRAPHING CALCULATOR IS REQUIRED FOR THESE QUESTIONS. People enter a line for an escalator at a rate modeled by the function r given by ⎧ ⎪ t t. 3 7 ⎪⎪ 44 1 for 0 ££ t ⎪ (rt =⎨ 100 300− ) 300. AP Calculus BC 2018 Free Response Question 2 Integrating a density function. This was a kind of new context but all the same old stuff. Also, you had a calculator to do the hard work for you.

Here are the resources you will need for the AP Calculus AB free response questions. Be sure to try out the prior year questions and check out the video solutions. Working through these problems is an important part of your FRQ test prep.

2017 & 2018 Free Response

2018 Ap Calculus Ab Frq

At the College Board website you can access the prior year free response questions. You should definitely review these as part of your FRQ test prep.

2018 Ap Calculus Free Response Answers

2018 FRQ Solutions

2018 Ap Calculus Released Exam

In this series of videos, Tom Cochran solves the 2018 AP Calculus AB free response questions. Clear solutions that are easy to understand.

2017 FRQ Solutions

More great videos from Mr. Cochran. In these he solves the 2017 AP Calc free response questions. Be sure to try the questions first, then watch the videos.

Sample Questions

The sample question packet from the College Board includes some samples of the updated AP Calculus AB free response questions. Good for test prep and review.

Course Description

The official course description includes some free response practice questions as well. The AB FRQ questions start on page 67 of this packet.

2018 Ap Calculus Ab Scoring

2018 Ap Calculus Ab Mcq

AP Calculus AB - 1st Semester
Unit 1 - Limits and Continuity
Week 0
Zoom Meetings on 8/12, 8/13, and 8/14 at 10:45 AM
Meeting ID: 315 776 7806 Password: mryaton
Video on Introduction to Limits (Due on 8/12)
Introduction to Limits Self-Assessment (Due on 8/12)
Video on Finding Limits Graphically (Due on 8/13)
Finding Limits Graphically Self-Assessment (Due on 8/13)
Week 1
Video on Estimating Limits from Tables (Due on 8/16)
Estimating Limits from Tables Self-Assessment(Due 8/16)
Video on Finding Limits Algebraically(Due on 8/17)
Finding Limits Algebraically Self-Assessment(Due 8/17)
Associating Limits w/ Graphical Behavior (8/19 in class)
Kuta - Limits at Removable Discontinuities (8/19 in class)
Selecting Procedures for Evaluating Limits (8/20 in class)
Kuta - Limits at Jump Discontinuities (8/20 in class)
Week 1 - Unit 1 Limits Quiz (8/21)
Week 2
Video on Types of Discontinuities(Due on 8/23)
Types of Discontinuities Self-Assessment (Due on 8/23)
Video on Defining Continuity at a Point(Due on 8/24)
Defining Continuity at a Point Self-Assessment(Due 8/24)
Video on Continuity over an Interval(Due on 8/25)
Continuity over an Interval Self-Assessment(Due 8/25)
Continuity Practice Set (8/26 in class)
Establishing Continuity for EVT and IVT (8/27 in class)
Week 2 - Unit 1 - Limits Quiz (8/28)
Week 3
Limits at Infinity of Graphs Video (Due on 8/30)
Limits at Infinity of Graphs Self-Assessment (Due on 8/30)
Limits at Infinity of Quotients Video (Due on 8/31)
Limits at Infinity of Quotients Self-Assessment (Due 8/31)
Limits Practice Set 1 (9/1 in class)
Intermediate Value Theorem Video (Due on 9/1)
Intermediate Value Theorem Self-Assessment (Due 9/1)
Unit 1 - Limits Test (9/4)
Unit 2 - Differentiation: Definition and Basic Derivative Rules
Week 4
Average Rate of Change Video (Due on 9/7)
Average Rate of Change Self-Assessment (Due on 9/7)
Estimating the Rate of Change Video (Due on 9/8)
Estimating the Rate of Change Self-Assessment (Due 9/8)
Instantaneous RoC Using Limits Video (Due 9/9)
Instant. RoC Using Limits Self-Assessment (Due 9/9)
Week 4 - Unit 2 - Differentiation Quiz (9/11)
Week 5
Defining the Derivative of a Function Video (Due on 9/13)
Defining the Derivative Self-Assessment (Due on 9/13)
Differentiability & Continuity Video (Due on 9/13)
Differentiability & Continuity Self-Assessment (Due 9/13)
Derivatives & the Power Rule Video (Due on 9/13)
Derivatives & the Power Rule Self-Assessment (Due 9/13)
Derivatives at a Point Video (Due on 9/14)
Derivatives at a Point Self-Assessment (Due on 9/14)
Manipulating Before Differentiating Video (Due on 9/15)
Manip Before Differentiating Self-Assessment (Due 9/15)
Derivatives of sin x, cos x, e^x, ln x Video (Due on 9/16)
Deriv of sin x, cos x, e^x, ln x Self-Assessment (Due 9/16)
Week 5 - Unit 2 - Differentiation Quiz (9/18)
Week 6
The Product Rule Video (Due on 9/20)
The Product Rule Self-Assessment (Due on 9/20)
The Quotient Rule Video (Due on 9/21)
The Quotient Rule Self-Assessment(Due on 9/21)
Differentiation Rules with Tables (9/23 in class)
Going Off on a Tangent (9/24 in class)
Week 6 - Unit 2 - Differentiation Quiz (9/25)
Week 7
Finding Derivatives of tan, cot, sec, cot Video (Due 9/27)
Finding Deriv of tan, cot, sec, cot Self-Assess (Due 9/27)
Unit 2 - Differentiation Test (10/2)
Unit 3 - Differentiation: Composite, Implicit, and Inverse Functions
Week 8
The Chain Rule Video (Due 10/4)
The Chain Rule Self-Assessment (Due 10/4)
The Chain Rule with Tables Video (Due 10/5)
The Chain Rule with Tables Self-Assessment (Due 10/5)
Implicit Differentiation Video (Due 10/6)
Implicit Differentiation Self-Assessment(Due 10/6)
Kuta Chain Rule Practice (10/6 in class)
Kuta Chain Rule with Trig Practice (10/6 in class)
Week 9
Differentiating Inverse Functions Video (Due on 10/11)
Differentiating Inverse Funct Self-Assessment (Due 10/11)
Differentiating Inverse Trig Functions Video (Due 10/12)
Differentiating Inverse Trig Self-Assessment (Due 10/12)
Calculating Higher-Order Deriv Video (Due on 10/13)
Calculating Higher-Order Deriv Self-Assess (Due 10/13)
Implicit Differentiation Practice (10/13 in class)
Unit 3 - Differentiation Test (10/16)
Unit 4 - Contextual Applications of Differentiation
Week 10
Contextual Meaning of Derivatives Video (Due on 10/18)
Contextual Meaning of Deriv Self-Assess (Due on 10/18)
Straight-Line Motion Video (Due on 10/19)
Straight-Line Motion Self-Assessment (Due on 10/19)
Related Rates Video (Due on 10/20)
Related Rates Self-Assessment (Due on 10/20)
Week 11
Local Linearity and Linearization Video (Due on 10/25)
Local Linearity & Linearization Self-Assess (Due on 10/25)
L'Hospital's Rule Video (Due on 10/26)
L'Hospital's Rule Self-Assessment (Due on 10/26)
Unit 4 - Contextual Applications Test (10/30)
Unit 5 - Analytical Applications of Differentiation
Week 12
Mean Value Theorem Video (Due on 11/1)
Mean Value Theorem Self-Assessment (Due on 11/1)
Extreme Value Theorem Video (Due on 11/1)
Extreme Value Theorem Self-Assessment (Due on 11/1)
First Derivative Test Video (Due on 11/2)
First Derivative Test Self-Assessment (Due on 11/2)
Unit 5 - Analytical Applications Quiz (11/6)
Week 13
Second Derivative Test Video (Due on 11/8)
Second Derivative Test Self-Assessment (Due on 11/8)
Sketching Graphs and Their Derivatives Video (Due on 11/9)
Sketching Graphs and Their Derivatives Self-Assessment (Due on 11/9)
Week 14
Optimization Problems Video (Due on 11/15)
Optimization Problems Self-Assessment (Due on 11/15)
Unit 5 - Analytical Applications Test (11/19)
Thanksgiving Break
Week 15
Week 15 HW - 2018 AP Calculus AB MC (Due on 12/3)
Week 16
Week 16 HW - 2019 AP Calculus AB MC (Due on 12/10)
Week 17
AP Calculus AB Midterm
Christmas Break

Lifesize AP Calculus AB Meeting Code: 4918470
AP Calculus AB Cheat Sheet

AP Calculus AB - 2nd Semester
Unit 6 - Integration and the Accumulation of Change
Week 18
Accumulation of Change Video (Due on 1/4)
Accumulation of Change Self-Assessment (Due on 1/4)
Left & Right Riemann Sums Video (Due on 1/4)
Left & Right Riemann Sums Self-Assessment (Due on 1/4)
Midpoint & Trapezoidal Riemann Sums Video (Due on 1/5)
Midpoint & Trapezoidal Sums Self-Assess (Due on 1/5)
Unit 6 Integration Quiz (1/8)
Week 19
Integration Rules Video (Due on 1/10)
Integration Rules Self-Assessment (Due on 1/10)
Integration of Trig (& Other Functions) Video (Due 1/11)
Int of Trig (& Other Funct) Self-Assessment (Due 1/11)
Fundamental Theorem of Calculus Video (Due on 1/12)
Fundamental Theorem Calc Self-Assessment (Due 1/12)
Week 20
Definite Integral as Limit of Riemann Sum Video (Due 1/18)
Definite Integral as Limit of RS Self-Assess (Due 1/18)
Definite Integral Video (Due on 1/18)
Definite Integral Self-Assessment (Due on 1/18)
Integration by u-substitution Video (Due on 1/19)
Integration by u-substitution Self-Assessment (Due 1/19)
Week 21
Definite Integration using u-substitution Video (Due 1/24)
Definite Int using u-substitution Self-Assess (Due 1/24)
Unit 6 Integration Test (1/29)
Unit 7 - Differential Equations
Week 22
Writing Differential Equations Video (Due on 1/31)
Writing Differential Eq Self-Assessment (Due on 1/31)
Verifying Solutions of Diff Eq Video (Due on 2/1)
Verifying Solutions to Diff Eq Self-Assessment (Due 2/1)
Sketching Slope Fields Video (Due on 2/2)
Sketching Slope Fields Self-Assessment (Due on 2/2)
Unit 7 Differential Equations Quiz (2/5)
Week 23
Separable Differential Equations Video (Due on 2/7)
Separable Differential Eq Self-Assessment (Due on 2/7)
Finding Particular Solutions of Diff Eq Video (Due 2/8)
Finding Particular Solutions Self-Assessment (Due 2/8)
Unit 7 Differential Equations Quiz (2/12)
Week 24
Exponential Models with Diff Eq Video (Due 2/14)
Exponential Models with Diff Eq Self-Assess (Due 2/14)
Unit 7 Differential Equations Test (2/19)
Unit 8 - Applications of Integration
Week 25
Average Value of a Function Video (Due on 2/21)
Average Value of a Function Self-Assess (Due 2/21)
Motion with Integration Video (Due on 2/22)
Motion with Integration Self-Assess (Due 2/22)
Integrals in Context Video (Due on 2/23)
Integrals in Context Self-Assessment (Due on 2/23)
Unit 8 Applications of Integration Quiz (2/26)
Week 26
Area Between a Curve and x-axis Video (Due on 2/28)
Area Between a Curve and x-axis Self-Assessment (Due on 2/28)
Area Between Two Curves Video (Due 3/1)
Area Between Two Curves Self-Assessment (Due 3/1)
Horizontal Area Between Curves (Due 3/2)
Horizontal Area Between Curves Self-Assessment (Due 3/2)
Unit 8 Applications of Integration Quiz (3/5)
Week 27
Volume by Disc Method Video (Due on 3/7)
Volume by Disc Method Self-Assess (Due on 3/7)
Volume by Washer Method Video (Due on 3/8)
Volume by Washer Method Self-Assess (Due on 3/8)
Volume Around Other Axes Video (Due on 3/9)
Volume Around Other Axes Self-Assess (Due on 3/9)
Unit 8 Applications of Integration Quiz (3/12)
Spring Break
Week 28
Volumes with Cross-Sections (Squares and Rectangles) Video (Due on 3/22)
Volumes with Cross-Sections (Squares and Rectangles) Self-Assess (Due on 3/22)
Volumes with Cross-Sections (Triangles and Semicircles) Video (Due on 3/23)
Volumes with Cross-Sections (Triangles and Semicircles) Self-Assess (Due on 3/23)
Unit 8 Applications of Integration Test (3/26)

AP Calculus AB Review
Unit 1 Review - Limits and Continuity
Unit 2 Review - Differentiation: Definition and Basic Derivative Rules
Unit 3 Review - Differentiation: Composite, Implicit, and Inverse Functions
Unit 4 Review - Contextual Applications of Differentiation
Unit 5 Review - Analytical Apps of Differentiation
Unit 5 Calculus Review Video
Unit 5 Calculus Sample AP Problems Video
Unit 6 Review - Integration & Accum of Change
Unit 6 Calculus Review Video
Unit 6 Calculus Sample AP Problems Video
Unit 7 Review - Differential Equations
Unit 7 Calculus Review & Sample AP Problems Video
Unit 8 Review - Applications of Integration
Unit 8 Calculus Review & Sample AP Problems Video

2019 AP Calculus AB #1 (15 min)
2019 AP Calculus AB #1 Video
2019 AP Calculus AB #2 (15 min)
2019 AP Calculus AB #2 Video
2019 AP Calculus AB #3 (15 min)
2019 AP Calculus AB #3 Video
2019 AP Calculus AB #4 (15 min)
2019 AP Calculus AB #4 Video
2019 AP Calculus AB #6 (15 min)
2019 AP Calculus AB #6 Video