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A.P. Calculus BC Section II, Part A and Part B
For this A.P. Calculus BC worksheet. learners solve six practice problems. A graphing calculator is required on the first three questions and not allowed on the next three. Directions are provided.
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Complex Analysis: Residues and Real Integrals
In this integral worksheet, students evaluate contour integrals and real integrals. This two-page worksheet contains approximately three problems. Some explanations and definitions are provided.
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Numerical Integration
In this math activity, students practice using the number approximations to apply them to the integrations. They compare the numerical methods and graph the results in the data table.
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Changing Order of Integration of a Triple Integral
In this math learning exercise, students practice writing the 5 integral solutions. Then they sketch pictures of the volume that is integrated.
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Seventeen Various Integral Problems
In this integrals activity, students solve seventeen integral problems. One problem covers completing the square, one curve length, one partial fraction decomposition, one Simpson's rule, and several are trigonometric integrals.
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Twenty-Eight Multiple Choice No Calculator AP Calculus AB Problems
In this AP Calculus AB practice exam worksheet, students solve twenty-eight various multiple choice calculus problems without using a calculator.
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Exploring the FTC using the TI
Young scholars use the Fundamental Theorem of Calculus to solve problems. In this calculus lesson, students use the TI to solve the graphing porting of the problem. They practice graphing functions and discuss their place in the real world.
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AP Calculus Exam
In this calculus worksheet, students review important rules of derivatives and integrations. They graph their functions using symmetry and coordinate pairs. There are 20 questions.
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Basic Calculus II: Numerical Integration
In this numerical integration activity, students approximate the value of an integral using the methods taught in the class. They use left-hand Riemann sums, right-hand Riemann sums, the midpoint method and the trapezoidal rule.
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Filling The Urn
Students calculate the area under a curve. In this calculus lesson,students calculate the area by integrating the equation. They calculate the volume of cylindrical shapes created between graphs.
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Functions
In this functions instructional activity, students solve and complete 5 different sets of problems that include determining functions on intervals. First, they define a definite integral and the Fundamental Theorem of Calculus. Then,...
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Timed Caluculus Exam
In this Calculus activity, 10th graders have 45 minuets to solve 6 multi-step problems involving velocity, integrals, and graphing.
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Getting a Little "Lift"out of Calculus
Students, after entering the given conditions into FoilSim, apply calculus techniques to verify predictions.
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Integral Exchange: Applying Integration By Substitution
In this math worksheet, students practice using the method of substitution with the integrals. They read the examples and then work in groups to apply the method.
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Numerical Integration
In this math worksheet, students explore the concept of numerical integration. They practice solving a problem using a quadrature.
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Numerical Integration
In this math worksheet, students practice using the concept of numerical integration. They also practice the approximation for the unit circle.
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Area Under A Curve
Calculus students use the derivative and integral to solve problems involving areas. They calculate the area under a curve as they follow a robot off road making different curves along the drive, using Riemann Sums and Trapezoidal rules...
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Fundamental Theorem of Calculus
High schoolers, with the assistance of their TI-84 Plus / TI-83 Plus calculators, explore and assess the connections between an accumulation function, one defined by a definite integral, and the integrand. They summarize that the...
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Disc/Washer Method
Students calculate the volume of solids. In this calculus lesson, students apply the Disk and Washer Method to solve for the volume of three dimensional objects. They calculate the volume caused by rotation that create sections that are...
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Basic Calculus II: Fundamental Theorem of Calculus
In this fundamental theorem instructional activity, students find the antiderivative of a function. This two page instructional activity contains five multi-step problems.
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Lesson #100 The Fundamental Theorem of Calculus and Area Under the Curve
Students explore the Fundamental Theorem of Calculus and apply the properties of definite integrals to solving equations. As a class, they explore formulas to use in evaluating integral yields in regions above and below the x-axis....
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Evaluating Definite Integrals With Substitution
Students investigate how to evaluate the definite integral with using substitution. They evaluate expressions when using the substitution method to find the definite integral. The lesson includes example problems for the teacher to use...
National Security Agency
Multiple Representations of Limits
After an introductory activity to demonstrate the theory of a limit, additional activities approach a limit from graphical, numerical, and algebraic methods. The activity looks at the multiple ways of understanding and evaluating a limit.
CK-12 Foundation
Differential Equations Representing Growth and Decay: Rice Legend
The legend of a wise man who asks a king for rice as a reward presents a context to study exponential solutions to differential equations. Pupils move quantities of rice to a chessboard and calculate the amount of rice for each day. To...