Curated OER
Worksheet 13
In this math worksheet, students define how for a given value of x, the series S(x) converges. Then they prove how convergence can be absolute.
Curated OER
Challenge Sheet 9: Improper Integrals
In this integral worksheet, students evaluate improper integrals, use a convergence test to determine if the integral will converge or diverge and consider the area of a region bounded by a polygon. This one-page worksheet contains...
Curated OER
Making A New Nation
Eighth graders read standard road maps and topographical maps, and examine the lives of pathfinders who opened the trails to the West. They develop Living History presentations, role-playing a character from the past.
Curated OER
Maus: Cubing Questioning Strategy
Maus is the text for a postreading activity that has class members using a cubing strategy to analyze, in depth, topics (racism, past and present, forgetting/remembering the Holocaust, representing the Holocaust) associated with Art...
Curated OER
Questioning Strategy for Les Miserables
After reading or watching the musical Les Miserables, challenge your high schoolers with these analysis questions. The sheet provided suggests having class members record the answers to these questions, but they would also be good...
Curated OER
Worksheet 4 - function
For this function worksheet, students identify functions, express decimals as fractions and write decimals as a geometric series. This one-page worksheet contains six multi-step problems.
Curated OER
Stupid Quiz
Young scholars listen and discuss word problems that promote students to demonstrate logical reasoning. In this logical reasoning lesson plan, young scholars discuss 10 word problems.
Curated OER
Teachers on the Horizon
Twelfth graders are given the opportunity to serve as cadet teachers for fourth and fifth-grade gifted students. In this career choices lesson, 12th graders discover how meaningful being a teacher can be.
Math2
Math2.org: Series Convergence Tests
This is an excellent resource! It states all of the most common tests for series convergence. Examples are not included.
University of Vienna (Austria)
University of Vienna: Sequences Convergent or Divergent?
Given a set of eight sequence formulae, determine whether each is convergent or divergent. After completing the exercises, the site returns a score to judge understanding of such sequences.
Mathematics Archives
Math Archives: Visual Calculus: Ratio Test
Visual Calculus offers a discussion and exercises concerning the ratio test for convergence of series.
Wolfram Research
Wolfram Math World: Integral Test
This page gives a brief statement of the Integral Test for convergent or divergent series. This test is also called the Cauchy Integral Test or the Maclaurin Integral Test.
Mathematics Archives
Math Archives: Visual Calculus: Integral Test
Visual Calculus offers a discussion and exercises concerning the integral test for convergence of series. The site also discusses the power series test.
Department of Defense
Do Dea: Convergence Tests Summary and Study
Here is a summary of convergence tests. They are listed in the order that you should use/try them when testing for convergence or divergence.
Northwestern University
North Western University: Series [Pdf]
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.
Khan Academy
Khan Academy: The Evolution of Gecko Toepads
This is a five-questions related to the passage "The Evolution of Gecko Toepads."
Wolfram Research
Wolfram Math World: Divergence Test
This is a brief statement of a divergence test that can be used to determine whether or not a given series converges or diverges. Provides no explanation, but simply a statement.
McGraw Hill
Glencoe Mathematics: Online Study Tool: Quiz on Convergent and Divergent Series
Learners exhibit comprehension of advanced mathematical concepts in Pre-Calculus. The online quiz tests the scholars on convergent and divergent series.
CK-12 Foundation
Ck 12: Plix: Divergent Plate Boundaries
[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.
Math Open Reference
Math Open Reference: Comparison Test
Learn about comparison tests with this helpful reference tool. Provides a detailed definition and examples that enhances further explanation. Includes links to related topics.
Other
Sierra College: Summary of Tests for Series
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,...
Texas A&M University
A Divergent Alternating Series Whose Terms Go to Zero
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.
Wolfram Research
Wolfram Math World: Convergence Tests
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.
Other
Shippensburg University: The Root Test
This site provides a brief overview of the root test, presenting one sequence with converges absolutely and one which diverges.