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McGraw Hill

Glencoe Mathematics: Online Study Tool: Quiz on Convergent and Divergent Series

For Students 9th - 10th
Learners exhibit comprehension of advanced mathematical concepts in Pre-Calculus. The online quiz tests the scholars on convergent and divergent series.
Handout
Math Open Reference

Math Open Reference: Integral Test

For Students 9th - 10th
A handy reference guide to the integral test. It provides definitions, examples, and an animation that enhances further explanation. Includes links to related topics.
Activity
CK-12 Foundation

Ck 12: Plix: Divergent Plate Boundaries

For Students 7th - 9th
[Free Registration/Login Required] Get a visual of how a divergent boundary can cause a rift valley to form in the ocean on this site. Test your knowledge of the mid-ocean ridge on this page.
Activity
Wolfram Research

Wolfram Math World: Ratio Test

For Students 9th - 10th
This page states the Ratio Test for convergent or divergent series, sometimes called the Cauchy Ratio Test or the d'Alembert Ratio Test. Brief but informational.
Handout
Other

Sierra College: Summary of Tests for Series

For Students 9th - 10th
Provides a summary of tests for series that includes the test, series, converges, sum of remainder, and diverges for nth Term, Geometric Series, Telescoping Series, p-Series, Alternating Series, Integral, Root, Ratio, Direct Comparison,...
Handout
Math Open Reference

Math Open Reference: Comparison Test

For Students 9th - 10th
Learn about comparison tests with this helpful reference tool. Provides a detailed definition and examples that enhances further explanation. Includes links to related topics.
Handout
Math Words

Math Words: Root Test

For Students 9th - 10th
Math Word briefly states the root test and discusses when the series is convergent, divergent or does not exist.
Handout
Texas A&M University

A Divergent Alternating Series Whose Terms Go to Zero

For Students 9th - 10th
This site gives an example of an alternating series whose terms go to zero but whose sum diverges. Can you guess why it diverges? Go to this site to find out why.
Handout
Wolfram Research

Wolfram Math World: Convergence Tests

For Students 9th - 10th
This page provides links to information about tests to determine the convergence or divergence of a series. No information about convergence tests is offered directly at this link.
Activity
Other

Shippensburg University: The Root Test

For Students 9th - 10th
This site provides a brief overview of the root test, presenting one sequence with converges absolutely and one which diverges.
Website
FNO Press

From Now On: Filling the Tool Box

For Teachers Pre-K - 1st
Dr. Jamie McKenzie offers this comprehensive look at how to help students develop questioning skills. Practical suggestions for how to implement the ideas are also included.
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Northwestern University

North Western University: Series [Pdf]

For Students 9th - 10th
The definition of a series is provided in a PDF document. The document also details the geometric, telescoping and harmonic series, tests for divergence, and series rules.
Unit Plan
BBC

Bbc: Gcse Bitesize: Lenses

For Students 9th - 10th
Lenses are precisely shaped pieces of glass that have been developed and used in corrective glasses, telescopes, microscopes, binoculars, and magnifying glasses. They can be convex or concave. Links are provided to a video an a test.
Handout
Math2

Math2.org: Series Expansions

For Students 9th - 10th
A thorough review of calculus series. Links direct the student to the basic properties of series, as well as to explanations and examples of convergence tests in series. The expansions for exponential, logarithmic, and root functions and...
Interactive
PurposeGames

Purpose Games: Plate Tectonics

For Students 3rd - 8th
Gamers will test their knowledge of plate tectonics with this interactive. Know your divergent plate boundaries, hot spots, trenches, lithosphere, and other trivial facts of plate tectonics.
Handout
Wolfram Research

Wolfram Math World: Harmonic Series

For Students 9th - 10th
This MathWorld site provides a general overview of the harmonic series.
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Khan Academy

Khan Academy: The Evolution of Gecko Toepads

For Students 9th - 10th
This is a five-questions related to the passage "The Evolution of Gecko Toepads."

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