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.
Activity
Math Medics

S.o.s. Math: More on Limit of a Sequence

For Students 9th - 10th
A detailed lesson explaining the uniqueness of a convergent sequence. Explains what happens when a sequence is bounded. Gives properties of sequences with limits.
Lesson Plan
Other

Center for Technology and Teacher Education: Exploring Infinite Series

For Teachers 9th - 10th
This site is a lesson plan on the convergence of infinite series. This lesson combines algebraic and geometric interpretations of infinite series. Students calculate partial sums, and prove ideas about convergence of specific infintie...
Website
Extreme Science

Extreme Science: A Lesson in Plate Tectonics

For Students 9th - 10th
With its clickable map, this site provides text and graphics on spreading boundary, converging boundary, subduction zone, transverse boundaries and faults.
Activity
Wolfram Research

Wolfram Math World: Series

For Students 9th - 10th
This page gives a great overview of series in mathematics, including a definition of convergence and divergence. Provides links to more information about specific types of series.
Activity
Texas Instruments

Texas Instruments: Exploring Taylor Series

For Teachers 9th - 10th
In this Computer Algebra System (CAS) activity, students explore the Taylor's series. They investigate the approximation of numbers in sequences and series and find their interval of convergence using various methods.
Unit Plan
University of California

University of California Museum of Paleontology: Similarities and Differences

For Students 9th - 10th
A module explaining how two different organisms can possess similar traits by sharing a common ancestor(homology) or due to convergent evolution(analogy).
Interactive
South Carolina Educational Television

Know It All Media: Plate Tectonics: Plate Movements

For Students 3rd - 8th
Animated simulations showing the three types of plate movements: divergent, convergent, and lateral plate boundaries.
eBook
Physics Classroom

The Physics Classroom: Refraction and Ray Model of Light: Refraction by Lenses

For Students 9th - 10th
Students use this tutorial to investigate the refractive ability of converging and diverging lenses.
Interactive
Physics Aviary

Physics Aviary: Lens Lab

For Students 9th - 10th
This lab is designed to have students investigate the changes that occur to images formed by converging lenses based on the focal length of the lens, the height of the object and the location of the object. This video will help...
Handout
BiologyWise

Biology Wise: Examples of Analogous Structures

For Students 9th - 10th
Explains that analogous structures are ones that are similar in different organisms yet have no common ancestry. This type of phenomenon occurs with convergent evolution. Includes lots of examples for both animals and plants.
eBook
Texas Education Agency

Texas Gateway: Ch. 18: Causes of Inflation in Various Countries and Regions

For Students 11th - 12th
By the end of this section, you will be able to do the following: Identify the causes and effects of inflation in various economic markets and Explain the significance of a converging economy.
Interactive
PBS

Pbs Learning Media: Lens and Mirror Lab

For Students 9th - 10th
Determine the location of the image in this interactive simulation of a lens and mirror optics bench. Both converging and diverging lenses and mirrors are included.
Lesson Plan
Texas Instruments

Texas Instruments: Exploring Infinite Series

For Teachers 9th - 10th Standards
For this activity, students learn to identify geometric series. They determine if a sequence converges and also learn to calculate the sum of numbers in a geometric series.
Activity
Paul Dawkins

Paul's Online Notes: Calculus Ii: Series and Sequences

For Students 9th - 10th
The resource examines sequences and infinite series. Topics investigated are power series, convergence, comparison test, integral test, ratio test, and Taylor series. Class notes, definitions, and examples with detailed solutions are...
Activity
Texas Instruments

Texas Instruments: Approximating Integrals With Riemann Sums

For Teachers 9th - 10th
In this activity, students calculate Riemann sums. They demonstrate when the Riemann sums will over-approximate a definite integral. They also observe the convergence of Riemann sums as the number of subintervals get larger.
Unit Plan
CK-12 Foundation

Ck 12: Earth Science: Volcanoes at Plate Boundaries

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] Volcanoes most often occur at plate boundaries.
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.
Website
Ducksters

Ducksters: Physics for Kids: Lenses and Light

For Students 1st - 9th
Kids learn about lenses and light in the science of physics including concave, convex, converging, diverging, focal point, meniscus, and Plano lenses.
Website
PBS

A Science Odyssey: You Try It: Plate Tectonics

For Students 9th - 10th
Using your computer mouse you can simulate transforming, collisional, divergent and convergent plate boundaries. Descriptions of each plate boundary are also available.
Article
Discovering Lewis & Clark

Discovering Lewis & Clark: Heroic Anniversary

For Students 9th - 10th
Explores the historical coincidences that converged on April 7, 1805, between Lewis and Clark, Beethoven, and Bonaparte.
Lesson Plan
TeachEngineering

Teach Engineering: How Mountains Are Formed

For Teachers 6th - 8th
Students investigate how mountains are formed. Concepts include the composition and structure of the Earth's tectonic plates and tectonic plate boundaries, with an emphasis on plate convergence as it relates to mountain formation....
Activity
Howard Hughes Medical Institute

Hhmi: Bio Interactive: Lizard Evolution Virtual Lab

For Students 9th - 10th
Students explore the evolution of the anole lizard in this virtual lab. Students will collect and analyze data during the virtual lab that focuses on evolutionary biology and includes adaptation, convergent evolution, phylogenetic...
Article
Jamestown-Yorktown Foundation

History Is Fun: Cultures at Jamestown [Pdf]

For Students 9th - 10th
A six-page discussion of the mix of cultures that converged in the colony of Jamestown and the challenges this presented. These cultures were the English settlers, the indigenous Powhatan people, and the African slaves. Despite many...

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