AP® Precalculus

AP Calculus AB Class Schedule and Homework Assignments

* Lesson recordings are from 2020-21, so they may not completely match the lessons from this year.

8/23

Introductions

8/24

17-18, 23-27, 39-42, 74, 76-77, 79, 82

32-33, 35, 43a

33, 39-43 odd, 56-57, 61-62

8/28

Video

23-33 odd, 77-87 odd

16, 57-71 odd, 76-78

8/30

Video

21-29 odd, 34-36, 39-43 odd, 53-63, 70-72, 77-79 odd, 94, 101-113 odd

5-10, 13

9/1

25-36

17 (a-d), 25, 27, 29-35, 45-52

9/6

9/8

63-68, 80-82

17-18, 27-32, 35 (use calculator), 44-45, 50-51, 57-60

9/12

Review Chapter 1/2

( )

9/14

Test Chapter 1/2

8, 13-15

9/20

14-17 (NC on 16), 22-25 (NC on 22), 34-37, 41-42, 47-48 (NC), 57-58, 68-71

9/22

7-9, 11-19, 25-27, 30-34, 53-56, 67-70, 74-76

9/26

73-78

20-24, 47-48, 52

9/28

10/2

10/4

Review Chapter 3A

( )

10/6

Test Chapter 3A

10/10

Video

10/12

5, 9-25 odd, 45-51 odd, 59-62, 67-68

96-102

10/16

41-51 odd

7-31 odd, 44, 56-59, 62-66, 68-71

Derivative Practice Kahoot

10/25

Derivative Quiz

Video

10/27

10/31

Review Chapter 3B

( )

11/2

Test Chapter 3B

11/6

Rule

11/8

11/13

11/15

35-49 odd

11-12, 14-15, 17-25 odd, 26-29, 45-53

11/17

21-33 odd, 53-67 odd, 69-72, 79-80

66, 70-71, 82, 89, 98

69-73

11/28

11/30

( )

12/6

( )

12/8

Test Chapter 4

12/12

12/14

10-17, 32, 34, 40-41, 43-53 odd, 58-62, 64-65, 67-68

68-69, 72-73, 76

12/18

58-66, 75-81 odd, 82

17-27

12/20

Mathematician Reports Due

Review Chapter 5A

( )

1/10

Test Chapter 5A

( )

1/12

Review

1/17

Review

1/19

Review

( )

1/23

1/25

Final Exam

5-51 odd, 52-56, 60-63, 67-71 odd, 74

1/31

9-17 odd, 21-49 odd, 51-53, 70-71

2/2

5-9 odd, 14-20, 22, 28-29, 42-44, 48-51

p. 615:  7-11, 13-16, 19-23 odd, 40-41, 43 (a-b)

2/6

11-23 odd, 49-53, 55-56, 71-75 odd, 76-81, 86

p. 505:  9-14

2/8

Review Chapter 5B

( )

2/12

Test Chapter 5B

2/14

5-53 EOO

2/20

7-55 EOO, 61-71 odd, 75-79 odd

2/22

9-21 odd, 29-39 odd, 41-47, 81

( )

11-37 odd (skip 21, 25)

p. 601:  1, 3-4, 6, 9-10, 12, 25, 37

2/28

Video

11-19, 21-34

3/1

Review Chapter I

( )

3/5

Test Chapter I

3/7

Section 6.1

5-6, 9-14, 17-20, 36-39, 49-55 odd, 58, 67, 71-72

7-8, 15-16, 21-31 odd, 32, 40-44, 61, 73

p. 494:  7-15 odd, 20-21, 23-24

p. 538:  9-15 odd, 21, 31

3/13

9-25 odd, 39, 41-44

3/15

Assign Volume Project

45-46, 49-52, 58-60, 63-64, 74-76

3/19

Practice Volumes

3/21

Volume Project Due

3/25

Review Chapter 6

( )

3/27

Test Chapter 6

4/10

4/12

 

 

 

4/16

Derivative Quiz

4/18

4/24

4/26

4/30

Final Exam, Part 1

5/2

Final Exam, Part 2

5/6

Go over Final Exam

5/8

5/10

The Last Circuit

5/14

5/16

5/20

Juniors take CAASPP

Music Video Progress Check

5/22

5/24

5/29

5/31

Music Videos Due

Return to Mr. Rosen's Class Website

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day #7 homework pre ap calculus

The Tangent Function (Part 2)

Unit 1: exploring rates of change, day 1: functions and function notation, day 2: interpreting graphs of functions, day 3: concavity, day 4: review lessons 1.1-1.3, day 5: quiz 1.1 to 1.3, day 6: rates of change, day 7: change in linear functions, day 8: change in quadratic functions, day 9: review lessons 1.4-1.6, day 10: quiz 1.4 to 1.6, day 11: unit 1 review, day 12: unit 1 test, unit 2: polynomial and rational functions, day 1: polynomial functions and rates of change, day 2: zeros of polynomial functions, day 3: zeros of polynomial functions (part 2), day 4: even and odd polynomials, day 5: polynomial functions and end behavior, day 6: review lessons 2.1 - 2.4, day 7: quiz 2.1 to 2.4, day 8: rational functions and end behavior, day 9: graphs of rational functions, day 10: graphs of rational functions (part 2), day 11: factored and standard forms of polynomials, day 12: equivalent representations of rational functions, day 13: the binomial theorem, day 14: review lessons 2.5 - 2.9, day 15: quiz 2.5 to 2.9, day 16: unit 2 review, day 17: unit 2 test, unit 3: constructing functions, day 1: a library of parent functions, day 2: transformations of functions, day 3: transformations of functions, day 4: piecewise functions, day 5: review 3.1-3.3, day 6: quiz 3.1 to 3.3, day 7: selecting a function model, day 8: constructing a function model, day 9: unit 3 review, day 10: unit 3 test, unit 4: exponential functions, day 1: change in arithmetic sequences, day 2: change in geometric sequences, day 3: change in linear and exponential functions, day 4: exponential functions, day 5: review 4.1-4.4, day 6: quiz 4.1 to 4.4, day 7: graphing and manipulating exponential functions, day 8: modeling with the natural base, "e", day 9: constructing exponential models, day 10: using regression models, day 11: using regression models (part 2), day 12: review 4.5-4.8, day 13: quiz 4.5 to 4.8, day 14: unit 4 review, day 15: unit 4 test, unit 5: logarithmic functions, day 1: compositions of functions, day 2: intro to inverse functions, day 3: graphs of inverse functions, day 4: review 5.1-5.3, day 5: inverses of exponential functions, day 6: inverses of exponential functions (part 2), day 7: quiz 5.1 to 5.4, day 8: graphs of logarithmic functions, day 9: logarithm properties, day 10: logarithm properties (part 2), day 11: solving exponential and logarithmic equations, day 12: solving exponential and logarithmic equations (part 2), day 13: modeling with logarithmic functions, day 14: review 5.5-5.8, day 15: semi-log plots, day 16: quiz 5.5 to 5.9, day 17: unit 5 review, day 18: unit 5 test, unit 6: exploring sine and cosine functions, day 1: periodic phenomena, day 2: angles on the coordinate plane, day 3: defining sine, cosine, and tangent for any angle, day 4: coordinates on the unit circle, day 5: review 6.1-6.4, day 6: quiz 6.1 to 6.4, day 7: graphs of sine and cosine, day 8: transformations of sine and cosine, day 9: review 6.5-6.6, day 10: modeling with trigonometric functions, day 11: modeling with trigonometric functions (part 2), day 12: quiz 6.5 to 6.7, day 13: review unit 6, day 14: unit 6 test, unit 7: working with trigonometric functions, day 1: the tangent function, day 2: the tangent function (part 2), day 3: inverse trig functions, day 4: trigonometric equations and inequalities, day 5: trigonometric equations and inequalities (part 2), day 6: quiz 7.1 to 7.3, day 7: the secant, cosecant, and cotangent functions, day 9: trigonometric relationships, day 10: angle sum identities, day 11: review 7.4-7.6, day 12: quiz 7.4 to 7.6, day 13: unit 7 review, day 14: unit 7 test, unit 8: polar functions, day 1: polar coordinates, day 2: complex numbers, day 3: polar graphs: circles and roses, day 4: polar graphs: limacons, day 5: rates of change of polar functions, day 6: unit 8 review, day 7: unit 8 review (part 2), day 8: unit 8 test, activity: quiz, quiz, trade.

Today students will deepen their understanding of the parent tangent function and its transformations through peer-to-peer interaction (and instruction!).

Instructions

Prep: Print and cut out the quiz, quiz, trade cards. We suggest printing them on cardstock and/or laminating them. You will need just one set of the cards for the whole class and you’ll be able to re-use the set over and over. You will also need sticky notes. There are 32 cards provided but you will need only one card per student for the activity.

Play: Give each student a card and a sticky note. Instruct students to answer their question INDIVIDUALLY on the sticky note, then stick it to the back of their card. Give students roughly 3 minutes to do this. Do not check students’ answers!

To play Quiz, Quiz, Trade students will stand up and walk around the room, finding their first partner. Partner A will show the card to their partner (Partner B) and Partner B solves it out loud. The questions are not designed to require paper and pencil but you may want to have mini-whiteboards or scratch paper available if students want it. Partner A checks their partner’s solution against the one on the sticky-note. If the answers agree, Partner A now solves the problem on Partner B’s card. If the answers do not agree, Partner A should indicate that the answer is incorrect and Partner B will try again. Partner A should not just give Partner B the answer. After multiple attempts, Partner A can provide tips or coaching to help Partner B solve the problem. Note that Partner A can use the conversation to make sure that their sticky note answer is actually correct! Once both partners have solved each other’s problems, they trade cards and then find a new partner, starting the routine again. Every question that a student asks of their partner will be one they just solved themselves, so they should be ready to provide tips or coaching, without simply telling them the answer.

If at any point students notice a mistake with the answer on the sticky note, they should revise it with a different colored writing utensil.

At the end of the activity, make sure that cards are returned to the original owner so they can see if their solution was revised. Then collect the cards.

Note: Part of the rationale behind this activity is to position students as having mathematical authority to determine if an answer is valid or not. While there may be an error in the original answer, it is highly unlikely that the error will persist after so many students work on that problem. The students, not YOU, should be the ones deciding if an answer is valid or not. For this reason, we do not provide an answer key. We suggest working through the problems on your own first, but do not verify students’ answers during the activity. Additionally, students will see in action the expectation that “collaboration moves our thinking forward” and come to normalize the practice of revising their thinking.

Math Medic Help

AP Calculus AB

Learn all about the course and exam. Already enrolled? Join your class in My AP.

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Go to AP Central for resources for teachers, administrators, and coordinators.

About the Course

Explore the concepts, methods, and applications of differential and integral calculus. You’ll work to understand the theoretical basis and solve problems by applying your knowledge and skills.

Skills You'll Learn

Determining expressions and values using mathematical procedures and rules

Connecting representations

Justifying reasoning and solutions

Using correct notation, language, and mathematical conventions to communicate results or solutions

Equivalency and Prerequisites

College course equivalent.

A first-semester college calculus course devoted to topics in differential and integral calculus

Recommended Prerequisites

You should have successfully completed courses in which you studied algebra, geometry, trigonometry, analytic geometry, and elementary functions. In particular, you should understand the properties of linear, polynomial, rational, exponential, logarithmic, trigonometric, inverse trigonometric, and piecewise-defined functions and know how to graph these functions and solve equations involving them. You should also be familiar with algebraic transformations, combinations, compositions, and inverses for general functions.

Mon, May 13, 2024

AP Calculus AB Exam

This is the regularly scheduled date for the AP Calculus AB Exam.

About the Units

The course content outlined below is organized into commonly taught units of study that provide one possible sequence for the course. Your teacher may choose to organize the course content differently based on local priorities and preferences.

Course Content

Unit 1: limits and continuity.

You’ll start to explore how limits will allow you to solve problems involving change and to better understand mathematical reasoning about functions.

Topics may include:

  • How limits help us to handle change at an instant
  • Definition and properties of limits in various representations
  • Definitions of continuity of a function at a point and over a domain
  • Asymptotes and limits at infinity
  • Reasoning using the Squeeze theorem and the Intermediate Value Theorem

On The Exam

10%–12% of exam score

Unit 2: Differentiation: Definition and Fundamental Properties

You’ll apply limits to define the derivative, become skillful at determining derivatives, and continue to develop mathematical reasoning skills.

  • Defining the derivative of a function at a point and as a function
  • Connecting differentiability and continuity
  • Determining derivatives for elementary functions
  • Applying differentiation rules

Unit 3: Differentiation: Composite, Implicit, and Inverse Functions

You’ll master using the chain rule, develop new differentiation techniques, and be introduced to higher-order derivatives.

  • The chain rule for differentiating composite functions
  • Implicit differentiation
  • Differentiation of general and particular inverse functions
  • Determining higher-order derivatives of functions

9%–13% of exam score

Unit 4: Contextual Applications of Differentiation

You’ll apply derivatives to set up and solve real-world problems involving instantaneous rates of change and use mathematical reasoning to determine limits of certain indeterminate forms.

  • Identifying relevant mathematical information in verbal representations of real-world problems involving rates of change
  • Applying understandings of differentiation to problems involving motion
  • Generalizing understandings of motion problems to other situations involving rates of change
  • Solving related rates problems
  • Local linearity and approximation
  • L’Hospital’s rule

10%–15% of exam score

Unit 5: Analytical Applications of Differentiation

After exploring relationships among the graphs of a function and its derivatives, you'll learn to apply calculus to solve optimization problems.

  • Mean Value Theorem and Extreme Value Theorem
  • Derivatives and properties of functions
  • How to use the first derivative test, second derivative test, and candidates test
  • Sketching graphs of functions and their derivatives
  • How to solve optimization problems
  • Behaviors of Implicit relations

15%–18% of exam score

Unit 6: Integration and Accumulation of Change

You’ll learn to apply limits to define definite integrals and how the Fundamental Theorem connects integration and differentiation. You’ll apply properties of integrals and practice useful integration techniques.

  • Using definite integrals to determine accumulated change over an interval
  • Approximating integrals using Riemann Sums
  • Accumulation functions, the Fundamental Theorem of Calculus, and definite integrals
  • Antiderivatives and indefinite integrals
  • Properties of integrals and integration techniques

17%–20% of exam score

Unit 7: Differential Equations

You’ll learn how to solve certain differential equations and apply that knowledge to deepen your understanding of exponential growth and decay.

  • Interpreting verbal descriptions of change as separable differential equations
  • Sketching slope fields and families of solution curves
  • Solving separable differential equations to find general and particular solutions
  • Deriving and applying a model for exponential growth and decay

6%–12% of exam score

Unit 8: Applications of Integration

You’ll make mathematical connections that will allow you to solve a wide range of problems involving net change over an interval of time and to find areas of regions or volumes of solids defined using functions.

  • Determining the average value of a function using definite integrals
  • Modeling particle motion
  • Solving accumulation problems
  • Finding the area between curves
  • Determining volume with cross-sections, the disc method, and the washer method

Credit and Placement

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Course Resources

Ap classroom resources.

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AP Calculus AB and BC Course and Exam Description

This is the core document for the course. It clearly lays out the course content and describes the exam and AP Program in general.

The Difference Between AP Calculus AB and AP Calculus BC

Learn the similarities and differences between these two courses and exams.

See Where AP Can Take You

AP Calculus AB can lead to a wide range of careers and college majors

Additional Information

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Sat / act prep online guides and tips, the expert's guide to the ap calculus ab exam.

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Advanced Placement (AP)

feature_calculusimage.jpg

Are you taking the AP Calculus AB exam this spring and want to be well prepared on test day? The AP Calculus AB exam in 2022 will be held on Monday, May 9, at 8 am .

Before you sit down to take the exam, though, it's critical that you know how the Calculus AB test is formatted, what topics it covers, and how you'll be scored on it. This guide will go over all of that information while also showing you official sample problems and giving you tips on the best way to prepare for AP Calculus AB.

The AP Calculus AB exam can sometimes seem overwhelming, but we're here to break it down into clear and manageable information for you. You can also check out the College Board's new AP Classroom tool for AP Calculus AB , which has additional resources and information. Let's get started!

What's the Format of the AP Calculus AB Exam?

The AP Calculus AB exam is three hours and 15 minutes long and has two sections. Both of these sections are divided into two parts (based on whether or not a calculator is allowed).

Multiple-Choice Section

Here is an overview of the format of the AP Calculus AB multiple-choice section:

  • 45 questions total
  • One hour 45 minutes total
  • Worth 50% of your total score
  • 30 questions
  • No calculator allowed
  • 15 questions
  • Calculator required

Note that the AP Calculus AB exam has had small changes made to its format. Previously, Part A of the multiple-choice section had 28 questions, and Part B had 17 questions.

Free-Response Section

Here is a rundown of the format of the AP Calculus AB free-response section:

  • Six questions total
  • One hour 30 minutes total
  • Two questions
  • Four questions

This can all look a little complicated, but basically, the AP Calculus AB exam consists of four parts. The first two are multiple choice, and the last two are free response.

You are required to use a calculator for the middle two parts (one each for multiple choice and free response), but you may not use a calculator for the first and last parts of the exam.

What Topics Does the AP Calculus AB Exam Cover?

Content on the Calculus AB exam can be divided into three main topic areas, referred to by the College Board as Big Ideas . Within these three Big Ideas are more specific topics called Enduring Understandings (often abbreviated as "EU"). Each Enduring Understanding contains both Learning Objectives and Essential Knowledge that the student should have learned by the time of the exam.

As I mentioned, there have been some updates to the AP Calculus AB exam. Namely, the Big Ideas are now integrated within each of the eight units covered in the AP Calculus AB course.

The good news is that there haven't been any changes to the structure of the AP Calculus AB exam!

I've listed each of the Big Ideas and their Learning Objectives below, since these are the most relevant for students looking for what the exam covers.

For the sake of length and clarity, I left out the Enduring Understandings and Essential Knowledge. If you'd like to see these, as well as more detailed information on the content covered by the exam, check out the official AP Calculus AB Course Description. Still, know that the information below will give you a solid look at what you're expected to know for the exam.

Learning Objectives are listed below Big Ideas. These Learning Objectives are skills that students are expected to know how to do for the exam.

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Big Idea 1: Change

  • Understand how and when change occurs
  • Determine the rate of change
  • Interpret how different equations are structurally similar
  • Determine change over an interval of time
  • Analyze functions for intervals of continuity or points of discontinuity
  • Determine the applicability of important calculus theorems using continuity
  • Find the rate of change based on the area of a region between a curve and the x-axis
  • Model motion not constrained to a linear path

Big Idea 2: Limits

  • Understand limits, and making sense of features of functions and their graphs
  • Mathematical properties and rules for simplifying and evaluating limits applies to differentiation
  • Prove a limit exists
  • Recognize the connection between differentiability and continuity
  • Interpret the meaning of a derivative within a problem
  • Solve problems involving the slope of a tangent line
  • Solve problems involving related rates, optimization, and rectilinear motion
  • Solve problems involving rates of change in applied contexts
  • Solve how the sum if infinitely discrete terms can be a finite value represented in a continuous function.

Big Idea 3: Analysis of Function

  • Close loopholes so a conclusion about a function is always true
  • Understand how the change of two units of measurement relate to one another, and the rate at which they change.
  • Interpret what numbers might tell you about other rates of change
  • Apply the Mean Value Theorem to to justify a conclusion
  • Include additional information in a sound mathematical argument that optimizes a simple equation
  • Integrate to find areas related to differentiating to find slopes
  • Calculate derivatives and antiderivatives
  • Evaluate definite integrals
  • Analyze graphs defined using parametric equations or polar functions using chain rules.
  • Apply definite integrals to problems involving the average value of a function, motion, and area and volume.
  • Analyze differential equations to obtain general and specific solutions
  • Interpret, create, and solve differential equations from problems in context

AP Calculus AB Units

Since the Big Ideas of AP Calc AB are covered throughout the course, it's also useful to know what each unit covers.

In the table below, you'll find each of the course's units, along with a brief description of the topics covered in that unit. We've also included the weighted breakdown of questions on the AP Calc AB exam that come from each unit. So for example, 10-12% of your exam grade will come from questions about Limits and Continuity, while 17-20% of your exam grade will come from questions about Integration and Accumulation of Change.

Unit 1: Limits and Continuity 10-12%
Unit 2: Differentiation: Definition and Fundamental Properties 10-12%
Unit 3: Differentiation: Composite, Implicit, and Inverse Functions 9-13%
Unit 4: Contextual Applications of Differentiation 10-15%
Unit 5: Analytical Applications of Differentiation 15-18%
Unit 6: Integration and Accumulation of Change 17-20%
Unit 7: Differential Equations 6-12%
Unit 8: Applications of Integration 10-15%

Knowing the topics covered in AP Calc AB, along with how they factor into your AP exam score, will help guide your studying and make it more productive!

Also, keep in mind there's a lot more to know about these units and unit topics . For more information, be sure to check out the official AP Calculus AB Course Guide provided by the College Board.

Looking for help studying for your AP exam? Our one-on-one online AP tutoring services can help you prepare for your AP exams. Get matched with a top tutor who got a high score on the exam you're studying for!

AP Calculus AB Sample Questions

Looking at sample questions is one of the best ways to get a feel for what the AP Calculus AB exam will be like. Here are four sample questions, one from each part of the AP exam. Each of these questions was taken from the official AP Calculus AB Course Description , which you can look at for more complete answer explanations and additional sample problems.

Multiple Choice (No Calculator)

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This question tests your ability to calculate derivatives. You'll need to use the chain rule to differentiate composite functions. The correct answer to this problem is B.

Multiple Choice (Calculator Allowed)

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This question tests your ability to solve problems with rapid rates of change. You'll have to find the derivative in order to find the rate of change of the temperature of the water. The correct answer is B.

Free Response (Calculator Allowed)

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This question tests your knowledge of integrals. Parts A, B, and C are each worth 3 points.

Free Response (No Calculator)

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This question tests your knowledge of multiple topics, including derivatives and integrals. You can receive up to 1 point for part A, 2 points for part B, and 3 points each for parts C and D.

How Is the AP Calculus AB Exam Scored?

As mentioned, the multiple-choice section and the free-response section are each worth 50% of your total exam score.

For the multiple-choice section, you earn 1 point for each question you answer correctly. No points are deducted for incorrect answers, so you should answer every question! You can earn up to 45 points for this section.

For the free-response section, each of the six questions is worth 9 points, so you can earn up to 54 points. Different parts of each question can be worth a different amount of points (for example, on one question you may be able to earn up to 1 point for part A, 3 points for part B, 3 points for part C, and 2 points for part D).

After your points are added up for each of your sections, your AP Calculus AB score is converted to the standard AP scoring scale of 1-5 . The exact formula for doing this can change slightly from year to year.

However, in 2008, the process for converting raw AP scores to scaled scores involved multiplying the number of multiple-choice questions you answered correctly by 1.2272, and then adding that number to the points you received on the free-response section. This value is rounded to the nearest whole number and becomes your composite score.

Each AP score (from 1-5) corresponds to a range of composite scores. Below, you can see the conversion chart and score distributions for test takers from the 2020 Calculus AB exam :

0-26 1 19%
27-38 2 20.4%
39-51 3 20.5%
52-67 4 24.1%
68-108 5 16%

Source: The College Board

3 Tips for Preparing for the AP Calculus AB Exam

Studying for the AP Calculus AB exam can be tough. Use these three tips to make your studying more effective and increase your chances of getting a great score.

Tip 1: Memorize Important Formulas

There are certain formulas for AP Calculus AB that you should have down pat. There's no formula sheet given on the AP exam, so you'll have to memorize the formulas you'll need. Many teachers give out formula sheets for students to memorize.

There are also various formula cheat sheets you can use to review before the exam. To find these, simply Google "AP Calculus AB formula sheet" and look at your options.

In general, any formula you use regularly in class is a good one to memorize. Major formulas you should have memorized include those for limits, differentiation, and integration, as well as the fundamental theorems.

Tip 2: Know How to Use Your Calculator

You're allowed to use your calculator for two of the four exam parts, and most of the questions in these two sections will be difficult, if not impossible, to solve without a graphing calculator.

While it might seem obvious that you should know how to work your calculator, knowing exactly how and when to use its different functions can save you a lot of time on the exam and increase your chances of getting the correct answer.

According to the College Board, the four calculator capabilities you'll use the most during the AP Calculus AB exam and should easily be able to do with your calculator are as follows:

  • Plot the graph of a function within an arbitrary viewing window
  • Find the zeros of functions (solve equations numerically)
  • Numerically calculate the derivative of a function
  • Numerically calculate the value of a definite integral

When you're preparing for the exam, be sure that you know how to do each of these (completing practice problems can help!).

body_calculator-10.jpg

Tip 3: Get Used to Showing All Your Work

For most free-response questions on the AP Calculus AB test, the final answer to a problem is only worth 1-2 points out of a possible 9. This means that the majority of points are earned through intermediate steps of the problem —and if you don't show how you reached those intermediate steps, you won't get a high score on this section.

Even if you get a correct answer by using your calculator, you have to write the setup (such as the equation being solved or the derivative being evaluated) as well as the answer in order to get credit for your work.

You might be used to not writing down certain work that seems particularly obvious on homework and class tests. However, even if your teacher doesn't mind, AP graders will.

Remember that AP graders are more interested in how you reached your final answer than they are in what that final answer is, so get yourself in the habit of showing each step of your work well before exam time.

Conclusion: What to Know About the AP Calculus AB Exam

The AP Calculus AB exam can be intimidating if you don't know what to expect. Knowing how the exam will be formatted and what types of questions it will ask can go a long way toward helping you feel more prepared and confident on test day.

The exam has two sections, multiple-choice and free-response, which are each divided into two parts, based on whether or not you may use a calculator. Each of these sections is worth 50% of your total AP score.

The exam itself covers three main topics:

  • Derivatives
  • Integrals and the Fundamental Theorem of Calculus

In order to prepare for the AP Calculus AB exam in the best way, keep these three tips in mind during your review:

  • Memorize important formulas
  • Know how to use your calculator
  • Get used to showing all your work

What's Next?

Now that you know what the AP Calculus AB exam covers, the next step is to practice! Read our guide to get links to every Calculus AB practice test available online .

Wondering how challenging other AP classes are? Learn what the easiest AP classes are and what the hardest AP classes are so that you know exactly what to expect!

Not sure which other math classes you should take? Math is often the trickiest school subject to choose classes for, but our guide will help you figure out exactly which math classes to take for each year of high school .

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Christine graduated from Michigan State University with degrees in Environmental Biology and Geography and received her Master's from Duke University. In high school she scored in the 99th percentile on the SAT and was named a National Merit Finalist. She has taught English and biology in several countries.

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AP Calculus
Toledo Christian School High School Advanced Math Teacher
 

day #7 homework pre ap calculus

Monday: Give back practice exams and go over last minute reminders.

Tuesday: No class - odd block schedule

Wednesday: AP Exam Day!

Thursday: Binder checks

Friday: Mrs. Young not at school. Study hall.

Monday: No school

Tuesday: No class - odd block schedule

Wednesday: Start free response section of practice exam

Thursday: TC Cares

Friday: Finish timed practice exam

Monday: Review Test - Calculator Part

Tuesday: No class - odd block schedule

Wednesday: Timed practice test

Thursday: Continue timed practice test

Friday: No school - Good Friday

Monday: Mrs. Young is out of town - work on practice AP packet.

Tuesday: No class - odd block schedule

Wednesday: Go over free response section to AP practice exam.

Thursday: Go over more free response questions.


Friday: Review test - non-calculator part


Monday: Go over review questions packet

Tuesday: No class - odd block schedule

Wednesday: Quiz over review questions packet. Work on another review packet.

Thursday: Work on practice test - Part A

Friday: Work on practice test - Part B

Monday: Go over AP area and volume packet.

Tuesday: No class - odd block schedule

Wednesday: Finish going over AP area and volume packet. Make math greeting cards for Math Awareness Month. Talk about math short story contest.

Thursday: Unit circle review worksheet

Friday: Trig quiz. Work on packet of review questions.

Monday: Lesson 7.3 - Volume as an Integral (Cross Section Method)


Tuesday: (No block schedule this week) Finish lesson 7.3.

Wednesday: Lesson 7.3 con't. - The Washer Method


Thursday: Work on area and volume AP problems

Friday: 7.3 Quiz

Monday: Lesson 7.2 con't. - Separating Boundaries and Integrating with Respect to y

Tuesday: No class - odd block schedule

Wednesday: Go over practice AP test. 7.1-7.2 Review Sheet.


Thursday: 7.1 - 7.2 Test. Binder checks today.

Friday: No class - seniors will be at variety show rehearsal.

Monday: 6.4 Quiz

Tuesday: No class - odd block schedule

Wednesday: 7.1 Intro. Worksheet. Lesson 7.1 - Integral as Net Change and Consumption Problems.



Thursday: More practice with consumption problems - Packet and page 388 #31 - 38

Friday: Lesson 7.2 - Areas in a Plane


Monday: No school

Tuesday: Snow Day

Wednesday: Work on differential equations practice packet

Thursday: Encore presentation of calculus wars videos. Continue working on packet from yesterday.

Friday: Snow Day

Monday: Chapter 6 Review Packet


Tuesday: No class - odd block schedule

Wednesday: Watch calculus wars videos. Go over practice AP test and/or chapter 6 review packet.

Thursday: Chapter 6 test

Friday: Lesson 6.4 con't. - Exponential Growth and Decay

Monday: Intro to 6.2 Worksheet. Lesson 6.2 - U-Substitution with Integrals.


Tuesday: No class - odd block schedule

Wednesday: Finish lesson 6.2. Work on AP practice test.

Thursday: 6.2 Practice Worksheet

Friday: Lesson 6.4 - Separable Differential Equations

Monday: Practice/Review Worksheet over graphs of f, f', and f"

Tuesday: Snow Day

Wednesday: Snow Day

Thursday: Lesson 6.1 - Differential Equations and Indefinite Integrals


Friday: Lesson 6.1 con't. - Slope Fields


Monday: Work on chapter 5 study guide



Tuesday: No class - odd block schedule

Wednesday: Chapter 5 test

Thursday: Guest speaker

Friday: Pre-chapter 6 worksheet

Monday: No school - MLK Day

Tuesday: No class - odd block schedule

Wednesday: No school due to bad weather

Thursday: Lesson 5.4 - The Fundamental Theorem of Calculus

Friday: Finish lesson 5.4

Monday: Lesson 5.2 - Evaluating Definite Integrals Using Geometric Methods

Tuesday: No class - odd block schedule

Wednesday: Snow Day!

Thursday: Lesson 5.3 - Basic Properties of Definite Integrals.

Friday: (Block schedule due to snow day) Chapter 5 quiz. Introduce Calculus Wars Video Project.


Monday: Give back exams. Explain AP exam scoring. Go over AP exam information and homework worksheet. Talk about where we've been and where we're going to go.

Tuesday: No class - odd block schedule

Wednesday: Quiz over Monday's reading. Lesson 5.1 - Estimating Areas Under Curves.

Thursday: Lesson 5.5 - Trapezoidal Approximation

Friday: Riemann Sums Packet

Monday: No school - snow day!

Tuesday: (normal schedule) Work on exam study guide

Monday: (Band and choir gone) Those people that are here can work on the homework from last week that is due on Wednesday.

Tuesday: No class - odd block schedule

Wednesday: Lesson 4.6 - Related Rates then work on practice worksheet.


Thursday: Work on chapter 4 review problems.


Friday: Chapter 4 test.

Monday: Lesson 4.3 con't. - Concavity and Points of Inflection

Tuesday: No class - odd block schedule

Wednesday: Finish Monday's lesson.

Thursday: Lesson 4.4 - Optimization

Friday: More practice with optimization problems.

Monday: Quiz over the first derivative test. Watch chapter 3 video projects.

Tuesday: (normal schedule) Finish watching videos.

Monday: Lesson 4.1, 4.2, and some of 4.3 - First and Second Derivative Tests

Tuesday: No class - odd block day

Wednesday: Finish Monday's lesson.

Thursday: Answer more questions over last week's practice AP packet and AP problems from Monday.

Friday: Optimization problems related to economics.

Monday: Mrs. Young will not be at school - work on chapter 3 study guide or AP packet

Tuesday: No class - odd block schedule

Wednesday: Chapter 3 Test

Thursday: No class - most students will be at the volleyball state tournament

Friday: Go over AP packet

Monday: Lesson 3.8 - Derivatives of Inverse Trig Functions


Tuesday: No class - odd block schedule

Wednesday: Lesson 3.9 - Derivatives of Exponential and Logarithmic Functions. Jeopardy Review Game.

Thursday: 3.7 - 3.9 Quiz

Friday: Mrs. Young will not be at school today or on Monday 11/8. Students are to work on the chapter 3 review problems today and the practice AP packet on Monday. The chapter 3 test will be on Wed. 11/10 and the AP packet will be due on Thurs. 11/11!


Monday: Quiz 3.4 - 3.6

Tuesday: No class - odd block schedule

Wednesday: Introduce chapter 3 project. Lesson 3.7 - Implicit Differentiation.



Thursday: No class - TC Cares Day

Friday: Work on 3.7 practice worksheet.

Monday: No school - conferences

Tuesday: No class - odd block schedule

Wednesday: Lesson 3.5 - Derivatives of Trig Functions. Chain Rule Exploration.

Thursday: Lesson 3.6 - The Chain Rule

Friday: Work on chain rule practice worksheet.




Monday: Continue lesson 3.4

Tuesday: No class - odd block day

Wednesday: Finish lesson 3.4. Quiz over 3.1 - 3.3.

Thursday: 3.4 Concepts Worksheet

Friday: Rates of change quiz. Work on practice AP packet. Binder checks today!

Monday: Lesson 3.2 - Differentiability and Continuity

Tuesday: No class - odd block day

Wednesday: Product and Quotient Rule Exploration Worksheet. Lesson 3.3 - Product and Quotient Rules. Second Derivatives Worksheet. Finish lesson 3.3 - Higher Order Derivatives.



Thursday: Quick Quiz. Lesson 3.4 - Velocity and other rates of change

Friday: Short class: Practice AP problems.

Monday: No school - Conferences

Tuesday: No class - Odd block day

Wednesday: Ch. 2 test corrections. Derivative rules exploration. Lesson 3.1 - The Derivative of a Function.


Thursday: Work on more derivative practice problems: Page 124 #1 - 12, 25 - 30, 37 - 40.

Friday: Lesson 3.1 con't. - The graphs of f and f '

Monday: No class - Jr./Sr. Retreat

Tuesday: No class - Jr./Sr. Retreat

Wednesday: Review for chapter 2 test with work stations.

Thursday: Go over study guide.

Friday: Mrs. Young will not be at school. Chapter 2 test.

Monday: Lesson 2.3 - Continuity

Tuesday: No class

Wednesday: Lesson 2.4 - Tangent Lines and Normal Lines

Thursday: Work on 2.4 practice worksheet

Friday: No class - seniors at Bike-a-Thon

Monday: No school - Labor Day

Tuesday: No class

Wednesday: Fantasy football roster is due today! Lesson 2.1 - Limits. Rational function review game.

Thursday: Lesson 2.2 - Limits involving infinity (see link above for today's lesson)

Friday: 2.1 - 2.2 Quiz

Monday: Second group presents trig review project.


Tuesday: No class

Wednesday: Last 2 groups present trig review projects. Introduce fantasy football project.





Thursday: Mrs. Young will not be at school - Chapter 1 test (non-calculator part).

Friday: Mrs. Young will not be at school - Chapter 1 test (calculator part).

Monday: Journal entry. Work on pre-requisite packet.

Tuesday: no class

Wednesday: Journal entry. Introduce trig project. Work on pre-requisite packet.




Thursday: Time to work on trig project

Friday: First group presents trig project

Wednesday: Go over syllabus and class rules and procedures.

Thursday: Put binders together. Go over journaling procedure. Complete first journal entries. Work on TI-89 calculator packet.



Friday: Diagnostic test. Review what needs to be reviewed.

 2011/05/01 10:06:07 PDT  3856

Course & Exam Pages

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IMAGES

  1. Pre Calculus

    day #7 homework pre ap calculus

  2. Ap Calculus Calculus Problems Worksheet / AP Calculus AB/BC Two page

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  3. Pre-AP Precalculus FRQ #8

    day #7 homework pre ap calculus

  4. AP Calculus AB Unit 1: Limits and Continuity Unit Module

    day #7 homework pre ap calculus

  5. Section 2 Part 2 AP Calculus: A Review of Important Precalculus

    day #7 homework pre ap calculus

  6. Pre-AP Precalculus FRQ #10

    day #7 homework pre ap calculus

VIDEO

  1. Lesson 1.7 Multiply by 2-Digit Numbers

  2. Market खुलने से पहले करले ये homework कभी नही होगा loss

  3. AP Precalculus

  4. AP Calculus AB Exam Review 2024: Practice Exam Problems & Solutions (Multiple Choice, No Calculator)

  5. AP Calculus Unit 7 Review (Differential Equations)

  6. Math 7

COMMENTS

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    Meet an AP®︎ teacher who uses AP®︎ Calculus in his classroom. 3:26. Bill Scott uses Khan Academy to teach AP®︎ Calculus at Phillips Academy in Andover, Massachusetts, and he's part of the teaching team that helped develop Khan Academy's AP®︎ lessons. Phillips Academy was one of the first schools to teach AP®︎ nearly 60 years ago.

  2. Math Medic

    The unit overviews and learning targets for the Math Medic Precalculus course can be found here. Units. Unit 0: Prerequisites. Unit 1: Functions. Unit 2: Polynomial and Rational Functions. Unit 3: Exponential and Logarithmic Functions. Unit 4: Trigonometric Functions. Unit 5: Applications of Trigonometry. Unit 6: Systems of Equations.

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    The course framework included in the AP Precalculus Course and Exam Description is organized into four commonly taught units of study that offer one possible sequence for the course. Units 1, 2, and 3 are assessed on the end-of-course AP Exam and describe what students should know and be able to do to qualify for college credit or placement.

  5. Precalculus AP

    Find step-by-step solutions and answers to Precalculus AP - 9780538738712, as well as thousands of textbooks so you can move forward with confidence. ... Section 4.7: Inverse Trigonometric Functions. Section 4.8: Applications and Models. Page 364: Review Exercises. Page 367: Chapter Test. Page 369: Problem Solving. Exercise 1. Exercise 2 ...

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    Complete Practice Tests. The College Board has released two complete exams from prior administrations of the AP Calculus AB exam. The tests are from 1988 and 1998. The 1988 test has an answer key included; however, for some reason, the 1998 exam does not. The College Board provided answers for the free-response questions in a separate document ...

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    AP Calculus AB Class Schedule and Homework Assignments * Lesson recordings are from 2020-21, so they may not completely match the lessons from this year. Date. Class Activities. Lesson Recordings* Homework Assignment. 8/23. Introductions. Policy Sheet. First Day Survey . 8/24. Sections 1.1, 1.2, and 1.5. Video. p. 12: 17-18, 23-27, 39-42, 74 ...

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    Day 12:Unit 1 Test. Unit 2: Polynomial and Rational Functions. Day 1:Polynomial Functions and Rates of Change. Day 2:Zeros of Polynomial Functions. Day 3:Zeros of Polynomial Functions (Part 2) Day 4:Even and Odd Polynomials. Day 5:Polynomial Functions and End Behavior. Day 6:Review Lessons 2.1 - 2.4. Day 7:Quiz 2.1 to 2.4.

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  13. Unit 1 Day 7 HW pg 49-50.pdf

    Name_Date_Period_ Day #7 Homework On questions 1 - 4, give the domain and range of each graphed function using interval. AI Homework Help. ... Domain: Range: 4. Domain: Range: Pre-AP* Calculus Page 50 9. f( -3) = 10. g (4) = For problems 11 - 19, determine the domain of the given function. Leave your answers in interval notation. Show your work ...

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    Unit 1: Limits and Continuity. You'll start to explore how limits will allow you to solve problems involving change and to better understand mathematical reasoning about functions. Topics may include: How limits help us to handle change at an instant. Definition and properties of limits in various representations.

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    AP Calculus Unit 7 Review. For your AP Calculus Unit 7 review, make sure you are practicing differential equation problems from multiple perspectives: given functions, tables, graphs, and word problems. If you need extra practice, check out the 7 best resources to study for AP Calculus tests. These resources have questions that match the rigor ...

  16. PDF AP Calculus AB Summer Packet

    • Reviewing prerequisite algebra and pre-calculus skills. • Covering Chapter 1 of the calculus textbook. (With the amount of curriculum to be covered before the AP Exam in May, we need to cover this review chapter before the school year.) It is due on the first day of school and worth 20 homework points. During the first two weeks of

  17. The Expert's Guide to the AP Calculus AB Exam

    Two questions. 30 minutes. Calculator required. Part B. Four questions. 60 minutes. No calculator allowed. This can all look a little complicated, but basically, the AP Calculus AB exam consists of four parts. The first two are multiple choice, and the last two are free response.

  18. Calculus for AP: A Complete Course

    Find step-by-step solutions and answers to Calculus for AP: A Complete Course - 9781337282795, as well as thousands of textbooks so you can move forward with confidence. ... Section 3.7: Implicit Differentiation and Derivatives of Inverse Functions. Section 3.8: Derivatives of Logarithmic Functions. Section 3.9: Applications of the Derivative ...

  19. AP* Calculus AB, The Complete Course ANSWER KEY

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