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The Second Fundamental Theorem of Calculus

For Teachers 10th - 12th Standards
Students investigate the fundamental theorem of calculus. In this calculus lesson, students derive the fundamental theorem of calculus. They differentiate between the first and second theorem.
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AP Calculus Exam Prep

For Teachers 11th - 12th Standards
Pupils practice sample questions from the AP Calculus Exam. They solve calculus problems involving bounded regions, integration, derivatives, and limits. They then answer free response and multiple choice questions on the above mentioned...
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The First Fundamental Theorem of Calculus

For Teachers 9th - 12th Standards
Solve problems using the fundamental theorem. For this calculus lesson, students solve problems using theorems and proving theorems. They derive the fundamental theorem as they study it.
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The Fundamental Theorem of Calculus and Properties of the Definite Integral

For Teachers 11th - Higher Ed
Students discuss the importance of fundamental theorems in math. In this calculus lesson plan, students define the fundamental theorem of calculus and discuss why it is so important they understand it. They work problems to model how...
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Calculus Inverse Derivative

For Teachers 9th - 12th Standards
High schoolers solve equations using a given derivative. In this calculus lesson, students identify the rise of fall of each function. They use the calculator to find the derivative.
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Introduction to Calculus

For Teachers 12th
Twelfth graders discuss attitude necessary to be successful in calculus. In this calculus instructional activity, 12th graders review famous quotes about success to help them get motivated to learn and be successful in the classroom....
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The Fundamental Theorem of Calculus and Area Under the Curve

For Teachers 12th
Twelfth graders review the fundamental theorem of calculus and solve for the area under the curve. In this calculus lesson plan, 12th graders differentiate between the area under the curve and the definite integral as it related to the...
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Mathematics Definitions -- Calculus

For Students 10th - 11th
In this calculus worksheet, students define words related to math to emphasize the importance of knowing the vocabulary in order to understand what is being asked of the problem. This worksheet contains 17 questions dealing with...
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Introduction to Calculus

For Teachers 10th - Higher Ed Standards
Don't let your class's heart rates rise as you introduce them to differentiation ... an inquiry-based lesson helps them keep it in check! The second lesson in a three-part series asks learners to analyze the rate of change of different...
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Calculus at the Battle of Trafalgar

For Teachers 12th - Higher Ed
Young scholars read an article on how calculus is used in the real world. In this calculus activity, students draw a correlation between the Battle of Trafalgar and calculus. The purpose of this article is the show everyday uses for...
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The Calculus Whiz Who Loved Candy

For Teachers 9th - 12th
Students develop an equation for finding the volume of a commonly known piece of candy (M&M, Hershey's Kiss, Tootsie Roll Pop, Life Saver, etc.) by using calculus.
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Applied Fundamental Theorem of Calculus

For Teachers 9th - 12th
Learners apply the Fundamental Theorem of Calculus. For this calculus lesson, students identify the graphical connections between functions and accumulation functions. They use a TI to represent the functions.
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Twenty-Eight Multiple Choice No Calculator Allowed AP Calculus BC Practice Exam

For Students 12th - Higher Ed
For this AP Calculus BC practice exam, students solve twenty-eight multiple choice problems without the use of a calculator.  This worksheet should be completed in fifty-five minutes.
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Getting a Little "Lift"out of Calculus

For Teachers 11th - 12th
Students, after entering the given conditions into FoilSim, apply calculus techniques to verify predictions.
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Disc/Washer Method

For Teachers 8th - 10th
Students calculate the volume of solids. In this calculus instructional activity, students apply the Disk and Washer Method to solve for the volume of three dimensional objects. They calculate the volume caused by rotation...
Lesson Plan
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Integration by Substitution

For Teachers 11th - Higher Ed
Looking for help in introducing integration by substitution to your calculus students?  Here is a lesson that walks a learner through a review of the change rule, and then by starting with more recognizable derivatives, it helps...
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NEXT GENERATION SPACECRAFT-Orion

For Teachers 11th - 12th
Students investigate the volume of a solid.  In this calculus activity, students use integration to find the volume of a solid generated by a region, the Orion crew module. 
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Differentiation Using the Chain Rule

For Students 10th - 12th
For this calculus worksheet, students solve problems using differentiation and the chain rules. They take the derivatives of equations using specific equations. There are 21 problems with an answer key.
Interactive
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Product Rule

For Students 9th - 10th
In this calculus instructional activity, 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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Graphing of Functions Using First and Second Derivatives

For Students 11th - 12th
For this calculus worksheet, students solve problems using the first and second derivatives. They define the behavior of the function based on the derivative. There are 11 questions with an answer key.
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Implicit Differentiation Problems

For Students 9th - 10th
For this calculus worksheet, students perform implicit differentiation to take the derivative. They solve function explicitly of x. They differentiate between implicitly and explicitly. There are 16 problems with an answer key.
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The Limit Definition of a Definite Integral

For Students 11th - 12th
In this calculus activity, students 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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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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The Method of Integration by Parts

For Students 11th - 12th
In this calculus instructional activity, students perform integration by parts. They solve differential equations as they use integration by part to solve unlike terms. There are 23 problems with an answer key.

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