Texas Instruments
Quartic Regions
Young scholars explore quartic functions in this calculus instructional activity. They investigate an application of derivatives and definite integrals, then explore the question of which of the "three bumps" of a quartic is the largest.
Curated OER
AP Calculus Practice Exam
In this practice exam worksheet, students solve 17 multiple choice problems. Students find derivatives, points of continuity, maximums, minimums, integrals, and area of enclosed regions.
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Substitution Method
In this calculus worksheet, students solve the function using the derivatives. They use properties of derivative and trigonometry to help them find the trig values. There are 28 problems.
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Fuel Level in a Spherical Tank
In this spherical tanks and fuel level worksheet, learners are given a diagram showing the effects of gravity or acceleration on the level of fuel in a spherical tank. Students solve 3 problems including finding the general formula for...
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Timed Caluculus Exam
In this Calculus worksheet, 10th graders have 45 minuets to solve 6 multi-step problems involving velocity, integrals, and graphing.
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Introduction to Integration by Substitution
In this math worksheet, students read the definition for the Chain Rule. Then they examine the functions and calculate the derivatives.
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Section 7.4 Practice: The Exponential Function
In this exponential functions worksheet, students solve 7 exponential function problems. Students find the integral and derivatives of various exponential expressions.
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Proof That One Equals Zero (Using Calculus)
In this proofs worksheet, students evaluate the integral of 1 function. Students use uv-substitution to prove 0=1.
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Integrals involving Trig Substitution
Twelfth graders solve derivatives using trig substitution. For this trigonometry lesson, 12th graders integrate integrals by substituting trig values into the equations. They review detailed examples before solving problems on their own.
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I Have Who Has Cards - Integration Formulas
In this calculus learning exercise, students rewrite a word problem using algebraic symbols and calculate the derivative of a function to find the correct solution. There are 20 matching questions with an answer key.
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Functions Defined by Integrals
In this calculus worksheet, students solve functions by taking the derivative of the function. There are 3 questions with and answer key.
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Integral Worksheet
For this college level calculus worksheet, students evaluate the given definite integrals. The three page worksheet contains eight problems. Solutions are not provided.
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Euler Encore 1
In this math worksheet, students use Euler's Method to solve differential equations. They are given an equation to graph (y'). Students sketch that equation as well as the related equation (y). They find the area of given rectangles and...
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Introduction to Integration
Students discuss the importance of Integrals as it relates to calculus. In this calculus lesson, students define Integrals and practice taking the integrals of polynomials. They work problems to enhance their understanding of how...
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Integration Review
In this calculus worksheet, 10th graders integrate derivatives using close integration rules. There are 4 problems to be solved.
Flipped Math
Calculus AB/BC - The Fundamental Theorem of Calculus and Accumulation Functions
Connect integrals with differentiation. The beginning of the video introduces the definition of an accumulation function. Scholars learn about the relationship between integrals and derivatives. Using what is commonly known as Part Two...
College Board
2008 AP® Calculus AB Free-Response Questions Form B
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...
College Board
2003 AP® Calculus AB Free-Response Questions
Take a free look. Released free-response questions from the 2003 AP® Calculus AB exam show how questions cover different topics. Pupils and teachers review the topics of bounded regions, particle movement, rates, relationships between...
College Board
Approximation
Sometimes close enough is appropriate. A curriculum document for AP® Calculus examines the importance of providing approximation questions throughout the course. It looks at approximating derivative values, approximating definite...
College Board
2008 AP® Calculus BC Free-Response Questions Form B
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...
Jim Noble, Richard Wade & Oliver Bowles
Pyramid Model
Seeking to derive the formula for the volume of a square pyramid, geometry learners construct six square based pyramids that, when pieced together properly, form a cube. Two short videos demonstrate the relationship between pyramid and...
College Board
2005 AP® Calculus BC Free-Response Questions Form B
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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Highs and Lows
Solve problems using integration and derivatives. By using calculus, learners will analyze graphs to find the extrema and change in behavior. They then will identify the end behavior using the derivatives. Activities and handouts are...
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Study Guide for the Advanced Placement Calculus AB Examination
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,...