Worksheet
Curated OER

ESP Quiz 8

For Students 12th - Higher Ed
A quiz that could also be used as a class activity or homework assignment, this activity prompts students to answer four short answer (computation) problems. They solve each series problem and tell if it converges or diverges.
Worksheet
Curated OER

Comparison Test

For Students 12th - Higher Ed
In this comparison test worksheet, students use the comparison test or the limit comparison test to determine if a series is convergent or divergent. They give examples of a series. This two-page worksheet contains seven multiple...
Worksheet
Curated OER

Summary Worksheet: Sequences

For Students Higher Ed
In this sequence worksheet, students determine whether the sequence is convergent or divergent. They find the limit of a given sequence, and solve distance problems. Students explore partial sums of an infinite series and use the...
Worksheet
Curated OER

Worksheet 15

For Students 11th - Higher Ed
In this math worksheet, students sketch and label on a number line the regions that converge and diverge with the sequences. Then they examine a smooth function and define its series.
Worksheet
Curated OER

Limit Comparison Test

For Students 11th
In this calculus worksheet, 11th graders solve 7 problems where they determine the convergence and divergence properties using the limit comparison test.
Worksheet
Curated OER

Basic Calculus II: Quiz 8

For Students Higher Ed
In this infinite series worksheet, students use comparisons to determine convergence for improper integrals. They use the integral test for infinite series. Students state the reasons they believe a given integral is converging or...
Worksheet
Curated OER

Ratio Test

For Students Higher Ed
In this college level Calculus worksheet, students use the ratio test to determine if a series converges or diverges.  The one page worksheet contains six problems.  Solutions are not provided. 
Worksheet
Curated OER

Worksheet 9

For Students 11th - Higher Ed
In this math worksheet, students test the concepts of divergence and convergence for each formula. Then they test the functions using the Ratio Test.
Worksheet
Curated OER

Integration Review

For Students 11th
In this algebra activity, 11th graders solve a series and identify if the series will diverge or converge based on n equals. There are 5 questions.
Worksheet
Curated OER

Worksheet 12: Sequences

For Students Higher Ed
In this sequences worksheet, students determine whether sequences converge or diverge. They write their complex numbers in polar form and find solutions for given equations. This two-page worksheet contains twenty-five problems. It...
Interactive
Curated OER

Review of Calculus BC II

For Students 11th - 12th
For this Calculus worksheet, students assess their understanding of various topics, including the derivatives of trigonometric functions, evaluating integrals, sigma notation, and convergent and divergent series.  The one page...
Worksheet
Curated OER

Worksheet 8

For Students 6th - 8th
In this math worksheet, middle schoolers consider the harmonic series. They assume that the sums move towards infinity and that they are divergent.
Worksheet
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Worksheet 12

For Students 11th - Higher Ed
In this math learning exercise, students state the Alternating Series Test and give an example of it. They also write down an alternating series which does not converge.
Unit Plan
Columbus City Schools

Geological Effects of Plate Tectonics

For Students 8th Standards
Don't get your classes all shook up about plate movement, instead use a thorough unit that guides learners to an understanding of plate tectonics. The lessons incorporate a study of the types of plate boundaries and their effects on the...
Worksheet
Curated OER

College Calculus

For Students Higher Ed
In this college level Calculus worksheet, students examine sequences to determine if they are increasing, decreasing, or non monotonic.  Students find the sum of series and determine if they diverge.   The one page...
Lesson Plan
Curated OER

It's Going to Blow Up!

For Teachers 6th - 8th
Get your ocean explorers online, reading articles about submarine volcanoes. They answer a series of questions and take a geometery challenge in which they calculate how much of a volcano has been blown away. Make sure to explore several...
Worksheet
Curated OER

Worksheet 8 - Spring 1996

For Students 11th - Higher Ed
In this math worksheet, learners sketch the graphs of the functions 1/x 2 and 1/(x2 − 1) over the interval [2, ∞). They rewrite the series using the Riemann sum.
Lesson Plan
Curated OER

Exploring Islamic Lands

For Teachers 9th - 12th
Students examine the lives of Islamic teens. In this global studies lesson, students explore selected Internet sites to discover the attributes of Islam, the cultural traditions of Islam, and information regarding Middle Eastern...
Lesson Plan
Curated OER

Evolution Simulation

For Teachers 3rd - 12th
Students simulate the process of evolution. Using index cards, they copy a drawing. Each subsequent drawing is sent around the room. The results are compared to the original drawing.
Lesson Plan
Curated OER

Limiting Factors/Evolution Game

For Teachers 9th - 12th
Students play a board game with provided cards which help them realize that limiting factors may restrict an organism in its development and productivity and direct evolutionary pathways.
Lesson Plan
Curated OER

Limiting Factors/ Evolution Game

For Teachers 9th - 12th
Students will understand the relationship between limiting factors and evolution. They will be able to hypothesize possible evolutionary pathways for modern day organisms.
Lesson Plan
Curated OER

Iterating Linear Functions

For Teachers 7th - 9th
Pupils use a spreadsheet to investigate data. In this algebra instructional activity, students collect and graph data on a coordinate plane. They explain properties of a linear equation both algebraically and orally.
Unknown Type
University of Vienna (Austria)

University of Vienna: Sequences Convergent or Divergent?

For Students 9th - 10th
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.
Handout
Wolfram Research

Wolfram Math World: Integral Test

For Students 9th - 10th
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.