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Lesson Plan
Curated OER

Riemann Sums

For Teachers 10th - 12th Standards
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.
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Lesson Plan
Curated OER

Riemann Sums

For Teachers 9th - 12th Standards
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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Lesson Plan
Curated OER

Exploring the Area Under a Curve

For Teachers 9th - 12th Standards
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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Worksheet
Curated OER

Math 155 Worksheet 11

For Students Higher Ed
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
Curated OER

Riemann Sums and the Definite Integral

For Students Higher Ed
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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Worksheet
Curated OER

Riemann Sums and Error Stacks

For Students Higher Ed
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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Worksheet
Curated OER

Errors in Riemann Sums

For Students Higher Ed
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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Worksheet
Curated OER

Connecting Riemann Sums to the Definite Integrals

For Students 11th - Higher Ed
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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Worksheet
Curated OER

Summation Notation, Area, Riemann Sums

For Students 11th - Higher Ed
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
Curated OER

Riemann Sums

For Students 12th - Higher Ed
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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Worksheet
Curated OER

Riemann Sums

For Students Higher Ed
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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Lesson Plan
Curated OER

Lesson #94 Exact Area Under a Curve

For Teachers 10th - 12th
Students research Riemann Sums. In this area lesson students listen to a lecture on finding the area under a curve. Links to a song about Riemann Sums, and a song titled "Failing My Calculus" are included.
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Lesson Plan
Curated OER

Integration Unit: Riemann Sum

For Teachers 11th - 12th Standards
Students investigate Riemann Sums. In this calculus lesson, students solve problems involving Riemann sums and Right Riemann Sums.