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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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Worksheet
Curated OER

The Infinite Pine Tree

For Students 6th
In this fractions worksheet, 6th graders solve and complete 7 different problems that include fractions. First, they identify and complete the denominator for the unit fractions in each of the squares shown on the sheet. Then, students...
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Lesson Plan
EngageNY

Finite and Infinite Decimals

For Students 8th Standards
Explore the patterns of fractions that produce finite and infinite decimals. The sixth lesson of the series asks learners to determine a similar feature of fractions that produce finite decimals. Using the patterns, pupils create...
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Lesson Plan
Curated OER

Worksheet 31 - Infinite Sum

For Teachers Higher Ed
In this infinite sum worksheet, students identify an infinite geometric series, and use the Riemann sum. This one-page worksheet contains 6 multi-step problems.
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Interactive
CK-12 Foundation

Infinite Limit Type: Asymptotes and End Behavior Question

For Students 11th - Higher Ed Standards
There are an infinite number of reasons to use the resource. Scholars drag vertical and horizontal lines to the graph of a rational function to identify all asymptotes. They investigate the connection between asymptotes and limits to...
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Lesson Plan
EngageNY

Infinite Decimals

For Students 8th Standards
Can you support the argument that the decimal 0.99999 ... is equivalent to the number one? The seventh installment in this 25-part module gives convincing support for this conclusion. Pupils write infinite decimals using powers of 10....
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Handout
Charleston School District

Solving Equations with Infinite or No Solutions

For Students 8th - 9th Standards
Where did all the variables go? Scholars learn how to interpret an equation when they eliminate all variables during the solving process. They interpret the solution as infinite solutions or no solutions. 
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Printables
Chapman University

e Poster

For Teachers 9th - Higher Ed
An interesting poster or handout showing Euler's number, e, as the calculated sum of an infinite series. The fractions start out large and gradually get smaller and smaller in both value and size. Shows some of the unique and fascinating...
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Worksheet
Curated OER

Infinite Geometric Series

For Students 11th
In this infinite geometric series worksheet, 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 for each...
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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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AP Test Prep7:55
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Flipped Math

Calculus AB/BC - Infinite Limits and Vertical Asymptotes

For Students 10th - 12th
Infinite limits just got infinitely more interesting. The 15th of 18 installments in Unit 1 - Limits and Continuity looks at infinite limits and vertical asymptotes of rational functions. Scholars review how to determine the locations of...
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Lesson Plan
Curated OER

Finding The Sum of an Infinite Series

For Teachers 9th - 12th
Students examine finding the sum of an infinite series as the limit of partial sums. Through hands-on activities, students create their own sequence by finding the area of a square and then cutting it in half-sized pieces. They write...
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Worksheet
Curated OER

Applications of Infinite Series

For Students Higher Ed
In this infinite series worksheet, students read a story problem and rewrite it in mathematical terms. They write a formula and evaluate the infinite series. This two-page worksheet contains four multi-step problems dealing with the...
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Lesson Plan
Mr Gym

Almost Infinite Circle

For Teachers 3rd - 12th
It will be fun watching your learners try to figure out how to get undone from this almost infinite circle. They will bend and twist and turn and try all sorts of ways to get separated. Most will not be able to figure out how to get...
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Assessment
Illustrative Mathematics

Lines of Symmetry for Circles

For Students 4th Standards
Further your instruction on geometrical symmetry with an investigation of circles. Fourth graders come to realize that the lines of symmetry of a circle are infinite.
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Worksheet
Curated OER

Infinite Geometric Series

For Students 11th
In this Algebra II instructional activity, 11th graders use their knowledge of infinite geometric series to solve problems such as determine in the sum of a series, solving word problems, and converting repeating decimals to fractions. ...
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Handout
Curated OER

Series Review Sheet

For Students 9th - 12th Standards
Save an infinite amount of time and enjoy this pre-made series formula guide. Arithmetic and geometric formulas are all included as well as Pascal's Triangle and examples of how the Binomial Theorem expands. 
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Worksheet
Curated OER

Sum of an Infinite Series

For Students 12th - Higher Ed
In this word problem learning exercise, students solve one sum of an infinite/rate problem.  The rate problem is solvable in two ways.  The easiest approach is provided.
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Worksheet
Curated OER

Introduction to Infinite Sequences

For Students 11th - Higher Ed
In this infinite sequences worksheet, students discover the convergence and divergent behavior of infinite sequences.  This worksheet references L'Hopital's rule.
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Worksheet
Curated OER

Trig Functions

For Students 11th - 12th
In this trig functions worksheet, students solve and complete 24 different types of problems. First, they find the limits for each trig function given. Then, students find xso that the given infinities series converges. They also find...
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Worksheet
Curated OER

Infinite Limits and Horizontal Asymptotes

For Students Higher Ed
In this infinite limit activity, students compute horizontal and vertical asymptotes. They use trigonometric functions to find the limits of functions and compare results. This two-page activity contains examples and explanations and...
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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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Lesson Plan
Curated OER

Linear Functions, Restricted Domains, Infinite Geometric Series, Interconnections

For Teachers 9th - Higher Ed
In this math worksheet, students graph the linear functions in comparison to the inequalities. Then they compare the line segments on the coordinate plane.
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Lesson Plan
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Curated OER

Sum of Infinite Geometric Series

For Teachers 9th - 12th Standards
Your mathematicians solve problems using geometric series in this pre-calculus lesson. They divide a unit square into very small pieces and identify the reasoning behind the sum of a series being less than one.

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