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AP Test Prep
College Board

2002 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
Where do the questions come from? Individuals examine released items and see the topics included. Teachers use the materials to see the distribution between strictly BC content and that which is shared with AB. The 2002 Calculus BC is...
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AP Test Prep
College Board

2002 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
Peek behind the curtain. Using a helpful resource, teachers and pupils see the way concepts appear on the AP® Calculus exam. Scholars use the questions to prepare for their own exams, gaining quality practice before test day. Questions...
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AP Test Prep
College Board

2003 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
There are shaded areas, particles, polar equations, oh my! Teachers use the materials to see how their pupils compare to the AP® Calculus BC exam expectations. Scholars use the released items to practice on several BC topics and become...
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AP Test Prep
College Board

2011 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
Does the exam look pupils expected? Released free-response questions from the AP® Calculus BC exam allow teachers and pupils to see and practice with actual exam questions. Three of the questions come from the AB portion of the course...
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AP Test Prep
College Board

2005 AP® Calculus BC Free-Response Questions Form B

For Students 10th - 12th
Let's put it in context. Pupils use the AP® Calculus BC free-response questions to practice for the exam. Five of the six released items deal with mathematical problems, with one using a real-world situation. Learners use differentiation...
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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 BC Free-Response Questions Form B

For Students 10th - 12th
Take a second look. Form B of the AP® Calculus BC free-response questions allow pupils and teachers to see another set of items. The six questions expand the set of items from the 2011 free-response questions. Form B items include a...
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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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Worksheet
Curated OER

Multivariable Calculus: Multivaribale Chain Rule

For Students Higher Ed
In this multivariable chain rule worksheet, students use the chain rule theorem to complete given problems. This worksheet contains an example, explanations, and thirteen problems to solve.
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Handout
Curated OER

Math Handbook: Calculus

For Students 10th - 12th
If only there was a reference that listed all the formulas covered in calculus. Luckily, there is. This comprehensive 197-page handbook provides formulas and explanations for all topics in AP Calculus or in a standard college calculus...
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Interactive
Curated OER

Product Rule

For Students 9th - 10th
In this calculus worksheet, students find the derivative of a function. They use the product rule to to differentiate each problem. There are 21 problems with an answer key.
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Worksheet
Curated OER

Worksheet #3, Derivative Rates, Percent Rate of Change, Chain Rule

For Students 10th - 11th
In this calculus worksheet, students answer compute the distance of an object from a given point after t seconds when given the formula. They use the chain rule to answer 2 questions. Students compute the derivatives and sketch a graph...
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Lesson Plan
West Contra Costa Unified School District

Derivative Theorems

For Teachers 11th - Higher Ed
Put all of the derivative rules into one basket. The lesson stars with warm-up exercises that provide a connection to previously learned concepts. The lesson plan uses the different derivative theorems to calculate a variety of...
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AP Test Prep
College Board

2006 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
Develop more than just a topical approach to the exam. The six free-response questions from 2006 reveal how the AP exam assesses topics. By using the questions, pupils practice topics such as velocity, sketch slope fields, solving...
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Lesson Plan
Curated OER

Parametric Equations

For Teachers 9th - 12th
Students investigate the concept of parametric equations and practice taking the derivatives and then the Quotient Rule is proven. They prove the Quotient Rule while using the Chain Rule with the examples given in the lesson plan for...
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Worksheet
Curated OER

Multivariable Calculus: Quiz 6

For Students Higher Ed
In this multivariable chain rule worksheet, students find the derivative of four multivariable functions. They make the change of variables when given the functions.
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Worksheet
Curated OER

Differentiation Using the Quotient Rule

For Students 11th - 12th
In this calculus worksheet, students use differentiation to solve problems. They apply the quotient rule as they solve rational expressions. There are 19 questions with an answer key.
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AP Test Prep
College Board

2006 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
Move along with the review. Teachers and scholars use the six released free-response questions to review for their upcoming AP® exam. Questions from the 2006 exam contain problems dealing with cars, objects moving along a curve, and...
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AP Test Prep17:00
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Flipped Math

Calculus AB/BC - Integrating Using Substitution

For Students 10th - 12th
U is for u-substitution. Viewers of an instructional video learn how to apply u-substitution to determine integrals for more complex functions. They first find indefinite integrals, then move on to definite integrals.
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AP Test Prep12:50
1
1
Flipped Math

Calculus AB/BC - Using the Second Derivative Test to Determine Extrema

For Students 10th - 12th
Take a second look at extrema of functions. Pupils learn how to use the second derivative to determine whether a critical point is a maximum or a minimum. Learners use concavity to identify critical points as either a max or a min and...
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Lesson Plan
Curated OER

Test on Chapter 4

For Teachers 12th
Twelfth graders review concepts of logarithms for their test. In this calculus lesson plan, 12th graders review inverse function, limits, deratives and solving logs equations. They review the chain rule and domain and range of inverse logs.
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Interactive
Curated OER

The Method of U-Substitution

For Students 9th - 10th
In this calculus worksheet, students solve problems using U-Substitution. They find antiderivatives  using indefinite integrals. There are 18 questions with an answer key.
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Interactive
Curated OER

Word Problems

For Students 10th - 11th
In this calculus worksheet, students use integration to solve word problems they differentiate between integration and anti derivatives, and between definite and indefinite integrals. There are 3 questions with an answer key.
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Lesson Plan
Curated OER

Test on Limits and Continuity

For Teachers 11th - 12th
Students review concepts of logarithms for their test. In this calculus lesson plan, students review inverse function, limits, derivatives and solving logs equations. They review the chain rule and domain and range of inverse logs.    

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