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Errors in Riemann Sums
In this Riemann Sums worksheet, students use the Riemann Sums method to approximate the area under the curves. This two-page worksheet contains three problems.
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Riemann Sums and the Definite Integral
In this integral worksheet, students use Riemann sums to estimate their answers. They answer story (or word) problems about distance/speed. Students are given a defined interval and use the Riemann sum to find the endpoints of the graph....
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Riemann Sums and Error Stacks
In this Riemann sums worksheet, students use accumulation to find the estimate for the area of a given shape. Students use Riemann sums to estimate the area under the curves and error stacks to bound the error of their approximation....
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Connecting Riemann Sums to the Definite Integrals
In this math worksheet, students examine the relationships between Riemann sums and definite integrals. They define the Riemann sums and find area using them.
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Evaluating Definite Integral Using Riemann Sums
In this integral worksheet, students use the Riemann Sum to estimate the value of a function. This two-page worksheet contains two problems.
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Summation Notation, Area, Riemann Sums
In this math worksheet, students explore the concepts of summation notation, area, and Riemann sums. Then they apply them for the word problems.
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Worksheet 31 - Infinite Sum
In this infinite sum worksheet, students identify an infinite geometric series, and use the Riemann sum. This one-page worksheet contains 6 multi-step problems.
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Riemann Sums
In this college calculus worksheet, students write the Riemann Sum for the indicated partition and sub-intervals. The two page worksheet contains five problems. Answers are not included.
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Riemann Sums
In this calculus learning exercise, students solve prolbem in which they estimate double integrals by using Riemann sums. The three page learning exercise contains four questions. Answers are not included.
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Understanding and Computing Riemann Sums
In this Riemann sum activity, students use the Riemann sum to determine the volume of a square pyramid and the estimates of area around a circle. This four-page activity contains 18 problems.
Houston Area Calculus Teachers
Collecting Driving Data
Give AP Calculus classes the opportunity to check the accuracy of their calculations! A calculus activity involves the collection of data, the application of mathematics, and the analysis of the accuracy of results. Young mathematicians...
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Using Riemann Sums
In the Riemann sums worksheet, students use Riemann sums to estimate the area under a curve. They calculate intervals and subintervals. Students create a graph picturing the intervals. This seven-page worksheet contains explanations...
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Lab 2: Euler's Method and Riemann's Sums
In this Euler's Method and Riemann's Sum worksheet, students identify the best situation in which to use Euler's Method and Riemann's Sum. They identify the initial value of a problem and use the accumulation formula to determine the...
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Riemann Sums and Error Control
In this Riemann sums worksheet, students use the Riemann sums to approximate a given area. This two-page worksheet contains two multi-step problems.
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Math 155 Worksheet 11
In this college level calculus worksheet, students use Riemann Sums to evaluate the given integrals and compare the answer to the limit. The two page worksheet contains four problems. Answers are not provided.
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Worksheet 8 - Spring 1996
For this math worksheet, students sketch the graphs of the functions 1/x 2 and 1/(x2 − 1) over the interval [2, ∞). They rewrite the series using the Riemann sum.
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Finding Area Using Geometry, Integrals, and Riemann Sums
In this area activity, students calculate area in five problems using geometry and integrals and find patterns using Riemann sums in one problem.
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Limit Definition of the Definite Integral
In this integral worksheet, students compute the Riemann sum that is defined by the given equation. They use a step by step process for computing an integral.
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Lab 3: Length as an Application of Integration
In this integration worksheet, students graph a function that is a quarter circle curve. They calculate lengths of curves by approximation using the distance formula. Students use a computer program to calculate the approximation of the...
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Area, Riemann Sums and Summation Notation
In this math instructional activity, students solve four problems written in sigma notation. They use Riemann sums to find the areas in four problems involving rectangles. Students work in groups to compute the Riemann sum approximations...
Flipped Math
Calculus AB/BC Mid-Unit 6 Review: Integration and Accumulation of Change
Accumulate the content so far. Learners review the content from the first five lessons dealing with accumulation functions. The eight problems go over finding maximums, minimums, concavity, points of inflection, and intervals of increase...
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Simpson's Rule
In this Simpson's Rule worksheet, students use the Fundamental Theorem of Calculus to determine the antiderivatives and evaluate integrals. They find the midpoint of given polygons and sketch the graph of the function. This nine-page...
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Basic Calculus II: Numerical Integration
In this numerical integration instructional 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...
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Estimating Pi as a Length
In this pi learning exercise, students evaluate the curve of a quarter of a circle. They analyze the length of the curve, and explain that if the area under the curve is equal to pi, the length of the curve above is also equal to pi....