Flipped Math
Calculus AB/BC - Approximating Areas with Riemann Sums
There are several ways to estimate the area if the curve does not create nice geometric figures. The presenter introduces the idea of using areas of rectangles to estimate the area under the curve. Pupils use four types of Riemann Sums,...
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Riemann Sums
Mathematicians use their calculators to investigate Riemann sums. Your learners will explore the relationship between the limit of two Riemann sums and the definite integral of the function.
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Riemann Sums
Students calculate the area under a curve. In this calculus instructional activity, students use Riemann Sums to find the area under a curve. They apply the boundaries of intervals as they solve for each area.
Shodor Education Foundation
InteGreat
Hands-on investigation of Riemann sums becomes possible without intensive arithmetic gymnastics with this interactive lesson plan. Learners manipulate online graphing tools to develop and test theories about right, left, and midpoint...
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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 activity, 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 instructional activity, 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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Exploring the Area Under a Curve
Using TI-89, mathematicians explore and investigate Riemann sums to estimate the area under the graphs of intervals by drawing and illustrating rectangles. They review and practice the concepts of summation notation and area formulas to...
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Integration Unit: Riemann Sum
Students investigate Riemann Sums. In this calculus lesson, students solve problems involving Riemann sums and Right Riemann Sums.
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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.
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...
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Understanding and Computing Riemann Sums
For this Riemann sum worksheet, students use the Riemann sum to determine the volume of a square pyramid and the estimates of area around a circle. This four-page worksheet 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 activity, students use the Riemann sums to approximate a given area. This two-page activity 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 learning exercise, students calculate area in five problems using geometry and integrals and find patterns using Riemann sums in one problem.