AB Practice Tests

Final Exam / AP Exam Practice & Study Materials:

AB Practice Test Depot for MCQ and FRQ practice

I have secure copies of the 2015AB2014AB2013AB, and 2012AB MCQs for you to use in the classroom anytime you want.  Earlier exams back to 1998AB are available as well.

AB FRQ Website for FRQ practice / Youtube for FRQ Solutions / AB FRQ Problem Index

2018AB FRQ / Solutions / Rubric / Videos: 2018AB FRQ#1 / 2018AB FRQ#2 / 2018AB FRQ#3 / 2018AB FRQ#4 / 2018AB FRQ#5 / 2018AB FRQ#6 / Scoring Commentary / Scoring Statistics

2017AB FRQ / Solutions / Rubric / Videos: 2017AB FRQ#1 / 2017AB FRQ#2 / 2017AB FRQ#3 / 2017AB FRQ#4 / 2017AB FRQ#5 / 2017AB FRQ#6  / Scoring Commentary / Scoring Statistics

2016AB FRQ / Solutions Rubric / Videos: 2016AB FRQ #1 / 2016AB FRQ #2 / 2016AB FRQ #3 / 2016AB FRQ #4 / 2016AB FRQ #5 / 2016AB FRQ #6 / Scoring Commentary / Scoring Statistics

2015AB FRQ / Solutions / Rubric / Videos: 2015AB FRQ #1 / 2015AB FRQ #2 / 2015AB FRQ #3 / 2015AB FRQ #4 / 2015AB FRQ #5 / 2015AB FRQ #6 / Scoring Commentary / Scoring Statistics

2014AB FRQ / Solutions / Rubric / Videos: 2014 AB FRQ #1 / 2014 AB FRQ #2 / 2014 AB FRQ #3 / 2014 AB FRQ #4 / 2014 AB FRQ #5 / 2014 AB FRQ #6 / Scoring Commentary / Scoring Statistics

Spring Break Assignment 

Preferred Exam Prep. Book: Cracking the AP Calculus AB Exam from Princeton Review

 

6.1-7.2 Test Study Materials:

6.1-7.2 Test / Solutions - This was the actual test we took during class.

6.1-7.2 Practice Test / Solutions - If you want to work through, score, and perform detailed corrections for this optional practice test, I will count it in place of 5 points of missing homework.

FRQ Topic: Differential Equations - Expect 1-2 of these on most 6.1-7.2 Retest.

FRQ Topic: Area & Volume Problems - Expect 1-2 of these on most 6.1-7.2 Retest.

Also expect a few exponential growth related problems.

Many version of the retest also have a 6.1 - Verifying Solutions of Differential Equations problem.

Additional Area & Volume Practice:

Big Volume Review / Solutions

 

Learning Targets:

I will be able to verify solutions of a differential equation by substitution (6.1).

I will be able to construct and use a slope field to visualize solutions of a differential equation (6.1).

I will be able to solve separable differential equations (6.2), including differential equations representing exponential growth (6.3).

I will be able to solve complex free response problems involving differential equations, including differential equations modeling real world behavior.

I will be able to solve complex free response problems involving applying integration to find:

a) Areas Between Curves (7.1)

b) Volumes of Revolution (7.2)

c) Volumes by Slices (7.2)

 

5.5, 5.6, and Motion (& Applications) Exam Study Materials:

5.5, 5.6, and Motion Exam Study Guide

5.5, 5.6, and Motion Practice Test / Solutions

5.5, 5.6, and Motion Test - Blank Copy / MWK Solution / Solutions & Scoring Rubric

FRQ Topic: Motion Problems / FRQ Topic: Application Problems /  Application FRQ Packet

 

Learning Targets:

I will be able to apply my knowledge of differentiation/integration to solve complex free response questions (FRQs) involving Particle Motion (Run, squirrel, run!).

I will be able to utilize my graphing calculator to:

a) take the derivative of a given function at a point

b) evaluate a definite integral

c) solve an equation graphically, including solving an absolute value equation graphically

d) graph a function in an appropriate window for a given MCQ/FRQ's context

 

4.1-5.4 Practice Tests & Study Materials:

4.1-5.4 Study Guide - Study guide for both tests.

 

4.1-5.4 Test - Part 1 - Materials(This will be the focus, but anything from the entire year is fair game.)

Chapter 4 FRQ Topics:  FRQ Topic: Table Problems / FRQ Topic: Graph of f, f', or f'' Problems / FRQ Topic: Applications

Chapter 4 Quiz #1 / Chapter 4 Quiz #1 - Detailed Solutions and Scoring Rubric 

Chapter 4 Test Form AB / Chapter 4 Test Form AB - SOLUTIONS AND RUBRIC

Chapter 4 Test - Blank CopySolutions & Rubric / Minimum Work Kid (MWK) Solution

 

4.1-5.4 Test - Part 2 - Materials: (This will be the focus, but anything from the entire year is fair game.)

4.1-5.4 Test - Part 2 / Solutions / Targeted Review

4.1-5.4 Quiz #1 / Solutions

4.1-5.4 Material on the 2008 AP Exam / Solutions

 

4.1-5.4 Learning Targets:

I will be able to evaluate indefinite integrals using the anti-derivative rules on pg. 385; specifically I should have rules 1)-9) & 14)-19) memorized. (4.1-5.7) - We started on this November 29th!

I will be able to solve initial value problems(4.1)

I will be able to evaluate definite integrals using graphical information. (4.3-4.4)

I will be able to evaluate definite integrals using the Fundamental Theorem of Calculus to. (4.4)

I will be able to approximate the value of a definite integral using a table of data and an assigned approximation method (Left Reimann, Right Reimann, Trapezoidal, or Midpoint). (4.2-4.3, 4.6, and FRQ Topic: Table Problems)

I will be able to use the Second Fundamental Theorem of Calculus with Chain Rule to evaluate derivatives of very specific definite integrals. (4.4)

I will be able to use Net Change Theorem to find f(b) given f(a) and f'(x). (4.4)

I will be able to evaluate indefinite integrals using u-substitution. (4.5)

I will be able to evaluate definite integrals using u-substitution, including changing the limits of integration. (4.5)

I will be able to derivatives using the derivative rules on pg. 378; specifically I should have rules 1)-21) memorized. (2.2-5.6) - We started on this September 29th!

I will be able to evaluate integrals requiring the use of long division. (5.2)

I will be able to evaluate the derivative of a function's inverse. (5.3) 

I will be able to apply my knowledge of differentiation/integration to solve complex free response questions (FRQs) including:

a) Table FRQs involving real world contexts. (FRQ Topic: Table Problems)

b) Graph FRQs involving the Fundamental Theorems of Calculus. (FRQ Topic: Graph of f, f', or f'' Problems)

c) Application FRQs involving real world contexts. (FRQ Topic: Applications)

 

Semester 1 Final Exam Materials:

Sources for MCQ Practice

MCQ Practice for Semester Final / AB Semester 1 Final - Study Guide / AB Practice Test Depot 

1998AB Multiple Choice Video Solutions / 2003AB Multiple Choice Video Solutions / 2008AB Multiple Choice Video Solutions

Sources for FRQ Practice:

Your semester final is guaranteed to have a Graph of f, f’, or f’’ FRQ (if you click the link, you will find FRQs, scoring rubrics, sample responses, and video solutions covering this topic).

Your semester final is guaranteed to have a Table Problems FRQ (if you click the link, you will find FRQs, scoring rubrics, sample responses, and video solutions covering this topic).

AB FRQ Website / Youtube for FRQ Solutions / AB FRQ Problem Index 

Sources for BIG Theorem Review:

AP Exam Review - The Big Theorems (we haven't covered the material for MCQs 7 & 11 yet) / AP Exam Review - The Big Theorems - Expanded Multiple Choice Solutions / AP Exam Review - Just Mean Value Theorem

 

Chapter 3 Practice Tests:

Ch.3 Practice Test #1 Solutions

Ch.3 Practice Test #2 / Solutions

The 3.7 Retest will always consist of a single college level optimization problem.  The Math 124 Final Exams at UW usually have a single optimization problem.  Any problem from 3.7 in your textbook is pretty decent practice as well.

 

Chapter 3 Learning Targets:

I will be able to find the absolute extrema of a function using the Closed Interval Method (and other methods). (3.1)

I will be able to use the Mean Value Theorem (MVT), Intermediate Value Theorem (IVT), Rolle's Theorem and Extreme Value Theorem to justify my logic in calculus problems. (3.2)

I will be able to identify the local extrema of a function using the 1st Derivative Test AND the 2nd Derivative Test. (3.3-3.4)

I will be able to find the increasing/decreasing and concave up/down intervals of a given function. (3.3-3.4)

I will be able to identify the inflection points of a function. (3.4)

I will be able to sketch graphs of functions that include proper first derivative and second derivative behavior (see previous learning targets). (3.6)

I will be able to interpret a function's 1st and 2nd derivative behavior from the graph of the function and/or the graph(s) of the function's derivative(s). (3.3-3.6)

I will be able to solve real world problems using an optimization approach. (3.7)

I will be able to approximate the output of a function using a tangent line. (3.9)

 

2.5-2.6 Practice Tests

2.5-2.6 Test - Blank Copy / Solutions

2.5-2.6 Test Form E - AB Version / Solutions

2.5-2.6 Test Form JB - 2016 / 2.5-2.6 Test Form JB - 2016 - Solutions and Rubrics

Extra 2.5 FRQ Practice: 2.5 Day 3 – Introduction to FRQ and FRQ Scoring - Ancient Implicit Differentiation Problems / 2.5-2.6 AP FRQ Practice - Bellwork

Extra 2.6 FRQ Practice: 2.6 AP FRQ Practice / 2.6 AP FRQ Practice – Scoring Rubrics AND Solutions

 

2.5-2.6 Learning Targets:

I will be able to find a first derivative when given an IMPLICIT RELATION using the technique of IMPLICIT DIFFERENTIATION. (2.5)

I will be able to find a SECOND derivative when given an implicit using the technique of implicit differentiation. (2.5)

I will be able to apply implicit differentiation to real world problems using a related rates approach. (2.6)

 

2.1-2.4 Practice Tests:

2.1-2.4 Quiz / Solutions

2.1-2.4 Practice Test - Form E / Solutions - Optional full length practice test.

2.1-2.4 Practice Test - Form N / Solutions - Optional full length practice test.

2.1-2.4 Test / Solutions - This was the original test you took in class.

 

2.1-2.4 Learning Targets:

I will be able to use the limit definition of the derivative to evaluate the derivatives of functions (2.1).

I will be able differentiate a wide variety of functions using the differentiation rules (chain rule, product rule, quotient rule, power rule, etc.) (2.2-2.4).

I will be able to find the tangent line to a curve at a given point (2.1-2.4).

 

Chapter 1 Practice Tests:

Ch.1 Practice Test #1 Solutions -This was the original practice test you started in class.

Ch.1 Practice Test #2 / Solutions - Optional full length practice test.

Ch.1 Test / Solutions - This was the original test you took in class.

 

Chapter 1 Learning Targets:

I will be able to evaluate limits analytically, graphically, and from a table (1.2). 

I will be able to evaluate special trigonometric limits (1.3).

I will be able to use the definition of continuity to determine continuity of a function (1.4). 

I will be able to use the definition of a limit existing to determine if a given limit exists (1.2-1.3). 

I will be able to locate the horizontal asymptotes and vertical asymptotes of a given function (1.5 & 3.5). 

I will be able to write a piecewise function, given its graph (Precalculus Topic).