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AP Test Prep
College Board

1999 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
Gain an understanding of the test before taking your own. Scholars develop an understanding of how calculus concepts appear on the AP® exam. The six released questions come from across the curriculum and include particle movement and...
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AP Test Prep
College Board

1998 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
Provide a test run. Pupils use the questions to practice taking the free-response section of the AP® Calculus BC exam. Teachers see the different ways questions appear on the exam to prepare individuals for whatever comes their way on...
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AP Test Prep
College Board

2000 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
How are concepts divided? Pupils use the AP® Calculus free-response questions to see how the exam addresses concepts. The concepts are divided into those that use calculators and others that do not. Calculator items require finding...
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AP Test Prep
College Board

2008 AP® Calculus AB Free-Response Questions Form B

For Students 10th - 12th
How would those items score? The resource provides pupils an opportunity to answer actual free-response questions and determine their scores. Items from the AP® Calculus AB exam from the 2008 administration demonstrate how topics appear...
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AP Test Prep
College Board

2011 AP® Calculus AB Free-Response Questions Form B

For Students 10th - 12th
Half are real-world. The 2011 AP® Calculus AB free-response questions let pupils and teachers see how content appears on the exam. Half of the questions contain real-world context, and four items do not allow calculators. Real-world...
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AP Test Prep
College Board

2010 AP® Calculus BC Free-Response Questions Form B

For Students 10th - 12th
Keep moving along a curve. Two items in the set of released free-response questions from the 2010 AP® Calculus BC exam involve movement along a graph. One involves particle motion along a polar curve while the other uses a squirrel...
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AP Test Prep
College Board

2007 AP® Calculus BC Free-Response Questions Form B

For Students 10th - 12th
There is just a single real-world problem. Released free-response items from the 2007 AP® Calculus BC Form B contains only one real-world question. The question involves rate of change of wind chill scenario. The mathematical problems...
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AP Test Prep
College Board

2008 AP® Calculus BC Free-Response Questions Form B

For Students 10th - 12th
This is integral to the test. Pupils realize that every question in the released free-response items from the 2008 AP® Calculus exam Form B requires integration. By reviewing the additional resources, scholars learn how important it is...
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AP Test Prep
College Board

2004 AP® Calculus BC Free-Response Questions Form B

For Students 10th - 12th
Take another look at the exam. A set of questions is a different form for the 2004 AP® Calculus BC free-response question section. The questions are evenly split into calculator and non-calculator sections. Pupils use their knowledge of...
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Lesson Plan
Curated OER

Limit of a Sequence

For Teachers 10th - 12th Standards
Young scholars solve problems using limits in this calculus lesson. They calculate the solution to a problem by substituting in positive integers and relate the sequence output as it relates to the limit of a function.
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Worksheet
Curated OER

Calculus 30 - Typical Exam Questions

For Students 11th - 12th
In this limits and functions worksheet, students solve 30 short answer questions about calculus  Students find limits, domain, range, tangent lines, derivatives, and composition functions.
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Worksheet
Curated OER

Limits and Trigonometric Equations.

For Students 10th - 12th
In this calculus activity, students solve functions dealing with limits and the 6 trigonometric values. They find the slope and tangent lines. There are 28 questions. 
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Worksheet
Curated OER

AP Calculus Practice Exam BC Version: Part B

For Students 11th - 12th
In this calculus worksheet, students solve 17 multiple choice problems. Students find limits, summations, and derivatives of functions. Students find the area of an enclosed region between two curves.
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Worksheet
Curated OER

Continuity and Limits

For Students 11th - 12th
In this continuity and limits activity, students solve and complete 4 different types of problems. First, they determine which of the limits shown exist and then, evaluate them. They also find which functions are continuous at a given...
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Worksheet
Curated OER

Easy Worksheet: Limits 2

For Students 11th - 12th
In this limits worksheet, students solve 4 short answer problems. Students identify the limit of a function for a specified value given a graph, equation, or piecewise function.
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Interactive
Curated OER

The Limit Definition of a Definite Integral

For Students 11th - 12th
In this calculus worksheet, learners calculate the derivative and integral of different functions. They use interval to mark the beginning and end of their calculations. There are 15 questions with an answer key.
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Lesson Plan
Curated OER

The Derivative as a Limit

For Teachers 9th - 12th Standards
Students investigate derivatives. In this calculus lesson plan, students investigate the derivative as a limit through the use of the TI-89.
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AP Test Prep10:09
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Flipped Math

Calculus AB/BC - L'Hopital's Rule

For Students 10th - 12th
Direct substitution fails. Now what? The seventh of eight videos in Unit 4 - Contextual Applications looks at L'Hopital's rule. Scholars learn to take the derivative of both the numerator and denominator of a function when substitution...
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Lesson Plan
Curated OER

Intuitive Approach to Limits

For Teachers 11th - 12th
Students view examples of art work that illustrate limits in calculus. Students will lecture on limits and then complete practice drill. This lesson plan does not include a defined procedure or practice problems. All the art links work...
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Handout
Curated OER

Study Guide for the Advanced Placement Calculus AB Examination

For Teachers 11th - 12th Standards
Is this going to be on the test? A calculus study guide provides an organized list of important topics and a few examples with answers. The topics include elementary functions, limits, differential calculus, and integral calculus,...
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AP Test Prep18:18
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1
Flipped Math

Calculus AB/BC - Defining the Derivative of a Function and Using Derivative Notation

For Students 10th - 12th
Pupils learn how to find the derivative of a function by applying the definition using limits. Learners understand that the derivative provides the slope of the tangent line and use that information to find the equation of the tangent...
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Worksheet
Curated OER

Multivariable Calculus: Limits of Multivariable Functions

For Students Higher Ed
In this multivariable function worksheet, students find the limits of a function, identify the domain, and explore continuous functions. This two page worksheet contains explanations, definitions, and examples. There are approximately...
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Lesson Plan
Curated OER

Limits

For Teachers 7th - 10th
Young scholars analyze data algebraically. In this calculus lesson, students determine the limit based on the 3 properties of limits. They identify the domain and range of each function.
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Worksheet
Curated OER

Limit of a function

For Students 12th
In this calculus worksheet, 12th graders determine the limit of a function at the indicate value.  The one page worksheet contains eighteen problems.  Answers are not included. 

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