# AB Practice Tests

You may retake the **Final Exam** on **June 10th** (**MCQs**) & **June 11th** (**FRQs**) after school. Just for the 250 point grade; no auto-magic grade bumps since this is post AP Exam. I will super-score the retake.

How do you prepare for such a comprehensive exam?

**Perfect Quintet of AP Exam/Final Exam Preparation Materials**: **AB Practice Test Depot** / **AB FRQ Index** / **AB FRQ Websites** (**Old Version Including 1998-2016 FRQs** // **New Version Including 2017-2018 FRQs**) / **Youtube for FRQ Solutions** / **Princeton Review AP Calculus AB**

Main Possible Topics on the **FRQ **part of the** AP Exam**: **Applications**, **Graph**, **Table****, ****Differential Equation**, ** Particle Motion**,

**,**

**Area & Volume****Implicit Differentiation**, and

**Other Rarer Possibilitie**s, including

**Related Rates**.

**Final Exam / AP Exam Practice & Study Materials**:

**AB Practice Test Depot **for** MCQ **and** FRQ **practice

I have secure copies of the **2015AB**, **2014AB**, **2013AB**, 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**

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**2015AB FRQ #2**

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**2015AB FRQ #3**

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**2015AB FRQ #4**

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**2015AB FRQ #5**

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**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**

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**:

**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 Copy / Solutions & 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 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 t**o 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 Theorem**s** 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 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**).