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Lesson Plan
Curated OER

Worksheet 11 - Intervals

For Teachers Higher Ed
In this interval worksheet, students write a geometric series for the derivatives of a function. Students determine the values of x and where it may converge. This two-page worksheet contains five multi-step problems.
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Lesson Plan
Curated OER

Partial Sums

For Teachers 4th - 6th
Young scholars add numbers and represent digits in extended form. In this extended form lesson plan, students complete this with 2 digit addition problems.
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Worksheet
Curated OER

Discussion Sheet 6: Convergence or Divergence

For Students Higher Ed
In this convergence or divergence worksheet, students perform tests for convergence or divergence. They estimate the sum in a series and determine the value of the convergent series. This one-page worksheet contains three problems.
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Lesson Plan
Curated OER

Finding The Sum of an Infinite Series

For Teachers 9th - 12th
High schoolers examine finding the sum of an infinite series as the limit of partial sums. Through hands-on activities, students create their own sequence by finding the area of a square and then cutting it in half-sized pieces. They...
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Handout
Wolfram Research

Wolfram Math World: Infinite Series

For Students 9th - 10th Standards
The site contains information on infinite series. Includes formulas and links to related topics.
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Activity
Richland Community College

Richland Community College: Arithmetic Sequences

For Students 9th - 10th Standards
This is a lesson from Richland Community College on arithmetic sequences. This site provides theories and examples for working with different problems of arithmetic sequences such as calculating the Sum and Difference of an arithmetic...
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Activity
Other

Old Dominion University: Geometric Series

For Students 9th - 10th Standards
This site explains the geometric series. There is a link to the theory of the geometric theory.
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Handout
Other

Math Pages: Mean Partial Sums of Non Convergent Series

For Students 9th - 10th
This is a wordy and comprehensive site explaining the mean partial sums of non-convergent series.
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Handout
Stanford University

Geometric Series

For Students 9th - 10th Standards
This resource has a short explanation of the geometric series.
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Unit Plan
CK-12 Foundation

Ck 12: Analysis: Explicit Formulas

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] This lesson covers how to write the nth term and how to use it to find terms in the sequence. Students examine guided notes, review guided practice and attempt...
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Activity
Math Notes and Math Tests

Pre Calculus Note: Arithmetic Sequences and Partial Sums [Pdf]

For Students 9th - 10th Standards
The tutorial discusses sequences and series. Students learn about arithmetic sequences, geometric sequences, partial sums, and infinite geometric series. The resource consists of class notes and examples with solutions.
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Handout
Math Words

Math Words: Nth Partial Sum

For Students 9th - 10th
This site gives a generalization of what the nth partial sum is through example of the 4th partial sum is.
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Activity
Other

Seton Hall Univ: Series and Convergence

For Students 9th - 10th
This is a short lesson explaining the partial sums
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Handout
Other

Math Pages: Bernoulli Numbers and Harmonic Series

For Students 9th - 10th Standards
This site from Math Pages contains information explaining harmonic series. The information is very in-depth and mathematic, but good factual information is provided. A good overall site.
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Graphic
Rice University

Rice University: Cynthia Lanius: Visualizing an Infinite Series

For Students 9th - 10th
This site explains the infinite series through visualization.
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Handout
Wolfram Research

Wolfram Math World: Partial Sum

For Students 9th - 10th
This site gives the defintion of partial sum using the common symbol for summation.