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Printables
Chapman University

ln 2 Series Poster

For Teachers 10th - Higher Ed
A nice poster or handout showing the natural logarithm of 2, ln 2, as an alternating series or convergent series. The fractions start out large and gradually get smaller and smaller in both value and size. Shows some of the unique and...
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AP Test Prep
College Board

AP® Calculus: Special Focus - Infinite Series

For Teachers 10th - 12th
Read a series to develop an understanding of series. The special focus professional development on infinite series consists of eight articles. Articles contain information strictly for teachers along with aspects to incorporate into the...
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Interactive
CK-12 Foundation

Sums of Geometric Series

For Students 11th - Higher Ed Standards
Geometric series either get bigger or approach a single number. So, how do you know which it is? An interactive presents three different geometric series with varying common ratios. With the aid of patterns, pupils determine values of r...
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Lesson Plan
Curated OER

Worksheet 38 - Convergence or Divergence

For Teachers Higher Ed
In this convergence worksheet, students apply tests to determine the convergence or divergence of a series and identify the limit of a sequence of terms. This one-page worksheet contains four multi-step problems.
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Lesson Plan
Curated OER

Worksheet 39 - Convergence or Divergence

For Teachers Higher Ed
In this convergence worksheet, students use given tests to determine the convergence or divergence of a series. This one-page worksheet contains 30 problems.
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Worksheet
Curated OER

General Convergence Sheet: Convergent and Divergent Series

For Students 11th - 12th
In this series worksheet, students determine if 16 series are divergent or convergent.  Students find the summation of series on a given interval.
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Lesson Plan
Curated OER

NUMB3RS - Season 2 - "Convergence" - Air Hockey

For Teachers 9th - 12th Standards
Learn how to use a matrix to organize data to solve a problem. This activity uses wins and losses to rank players for an air hockey tournament they wish to have. After practicing some basic matrix operations the class could do the...
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Worksheet
Curated OER

Infinite Geometric Series

For Students 10th - 12th
In this geometric series worksheet, students examine a given geometric series to determine if the series converges or divergeas.  They evaluate and determine the common ratio of a geometric series.  This four-page worksheet contains 28...
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Worksheet
Curated OER

Taylor and Maclaurin Series

For Students 11th - 12th
In this Taylor and Maclaurin series worksheet, students answer 10 questions about Taylor and Maclaurin series.  Students find the Taylor and Maclaurin series for trigonometric, exponential, and inverse functions at a given value.
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Worksheet
Curated OER

Infinite Geometric Series

For Students 11th
In this infinite geometric series learning exercise, 11th graders solve and complete 33 various types of problems. First, they find the sum of the infinite geometric series for each of the given. Then, students find the range of values...
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Worksheet
Curated OER

P-Series Handout

For Students 12th - Higher Ed
In this calculus worksheet, students are given 3 short-answer problems regarding p-series, convergence, and estimating convergent p-series.
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Worksheet
Curated OER

Discussion Sheet 6: Convergence or Divergence

For Students Higher Ed
In this convergence or divergence learning exercise, 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 learning exercise contains...
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Lesson Plan
3
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NOAA

A Moving Crust

For Teachers 4th - 7th Standards
Young scientists piece together the geological puzzle that is the earth in the third and final lesson of this earth science series. With the help of numerous multimedia resources and a series of engaging hands-on activities, students...
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Worksheet
Curated OER

Converging Series

For Students 10th - Higher Ed
For this functions worksheet, students calculate the average value, continuity, and the radius of convergence. There are 17 multiple choice questions.
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Lesson Plan
Curated OER

Exploring Infinite Series through Baravelle Spirals

For Teachers 9th - 12th
Students are introduced to the concept of convergent infinite series using a recursive geometric construction. They explore the concept of a convergent infinite series using partial sums. Students use formal calculations, visualizations,...
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Lesson Plan
Texas Instruments

Convergence of Taylor Series

For Teachers 9th - 12th Standards
Learners analyze taylor series for convergence. In this calculus lesson, students analyze the graph of a taylor series as it relates to functions. They use the TI calculator to graph and observe the different series. 
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Worksheet
Curated OER

Infinite Series

For Students 11th - Higher Ed
For this math worksheet, students examine the infinite series. They determine if it diverges or converges. Example 2 and 3 is group work to apply the tests for convergence or divergence.
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Lesson Plan
Curated OER

Infinite Geometric Series

For Teachers 11th
Eleventh graders investigate infinite geometric series.  In this Algebra II instructional activity, 11th graders explore partial sums of geometric series, converging and diverging series, and sums of infinite geometric series.   The...
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Worksheet
Curated OER

Rates of Convergence of Functions and Sequences

For Students 12th - Higher Ed
In this math learning exercise, students explore the rates of convergence for functions and sequences. They also practice using Taylor series approximations.
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Lesson Plan
Curated OER

Exploring Infinite Series

For Teachers 9th - 12th Standards
Learners analyze geometric series in detail. They determine convergence and sum of geometric series, identify a series that satisfies the alternating series test and utilize a graphing handheld to approximate the sum of a series.
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Worksheet
Curated OER

Worksheet on Power Series

For Students Higher Ed
In this function learning exercise, students identify the interval of convergence and write differential equations. This two-page learning exercise contains five multi-step questions.
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Worksheet
Curated OER

Taylor Series

For Students 9th - Higher Ed
In this calculus worksheet, students solve various functions for the Taylor Series using a variety of solving methods including the double angle formula, partial fractions, and u substitution. There are 8 questions.
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Lesson Plan
Curated OER

Worksheet 7 - Integral Test

For Teachers Higher Ed
In this integral test worksheet, students use the integral test to determine the upper and lower bounds for a given function. They identify the convergence of a series. This one-page worksheet contains four multi-step problems.
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Lesson Plan
Curated OER

Worksheet 4 - function

For Teachers Higher Ed
In 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.