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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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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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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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Calculus Test: Integral
In this integral worksheet, students determine the area of a region bounded by given lines. They compute the volume of a solid in a specified region. This two-page worksheet contains 10 multi-step problems.
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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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Numerical Word Search
In this numerical word search instructional activity, students solve ten problems and then search for the solutions in a grid of numbers. A few of the problems require that the student has taken calculus.
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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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Integral Worksheet
In 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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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...
Mathematics Vision Project
More Functions, More Features
Learners tackle a wide range of intimidating topics in this comprehensive unit that spans piecewise functions, absolute value of functions, and inverse functions (among other topics). Investigative group work alternates with more...
Houston Area Calculus Teachers
Area and Volume
An AP calculus lesson begins with an activity to determine the volume of a solid using a cross-section. Next, learners review the ways to find the area between two curves , as well how to find the volume of a solid created from 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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The Method of U-Substitution
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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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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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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Basic Calculus II: Quiz 8
In this infinite series worksheet, students use comparisons to determine convergence for improper integrals. They use the integral test for infinite series. Students state the reasons they believe a given integral is converging or...
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Word Problems
In this calculus learning exercise, 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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The Io Plasma Torus
In this plasma torus learning exercise, learners solve 5 problems including finding the dimensions of the Io torus, determining the formula for the volume of a torus, finding the actual volume of the Ion torus and finding the amount of...
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Little Red Corvette
Young scholars investigate the acceleration of a car. In this acceleration of a car lesson, students make a scatter plot of corvette acceleration data. Young scholars find a model to fit the data by taking the integral of the curve...
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Integrals and Limits
In this college level calculus worksheet, students evaluate the given integrals and compute the given limits or show that the limit does not exist. The three page worksheet contains ten problems. Answers are not provided.
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Integration Review Part 6
In this college level calculus activity, students review various integration techniques. The one page activity contains three problems. Answers are not provided.
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Matrices
In this calculus worksheet, students practice solving equations of area and integrals. There are 14 multi-step problems.
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Worksheet 37
In this math worksheet, students sketch the regions that give rise to the integrals. Then rewrite them as double integrals with the integration order reversed.
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