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...
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...
Lesson Plan
Curated OER

#### Exploring Infinite Series through Baravelle Spirals

For Teachers 9th - 12th
Learners 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,...
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...
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.
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...
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...
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.
Worksheet
Curated OER

#### Trig Functions

For Students 11th - 12th
For 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...
Lesson Plan
West Contra Costa Unified School District

#### Arithmetic Series

For Teachers 9th - 12th
Fall for a series. Learners determine how to find out how far a skydiver falls in the first 20 seconds. The Algebra II lesson plan introduces the idea of adding up the terms of an arithmetic sequence. Pupils learn how to use Sigma...
Lesson Plan
Texas Instruments

#### Serious Series

For Teachers 9th - 12th Standards
High schoolers are introduced to infinite series, geometric and telescoping series as well as the relationship between the sequence of partial sums of a series and its sum. They apply symbolic capacity of their calculator and calculus to...
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.
Lesson Plan
Virginia Department of Education

#### Arithmetic and Geometric Sequences and Series

For Students 9th - 12th Standards
Examine the importance of sequence and series through contextual situations. Here, learners partake in a five-day unit that begins with the basics of arithmetic and geometric sequences and series. As it progresses, pupils apply the...
Worksheet
Curated OER

#### Introduction to Infinite Series

For Students 10th - 12th
In this algebra worksheet, students find the pattern and nth formula for different series. They decide whether a sequence will diverge or converge. There are 13 questions.
Worksheet
Curated OER

#### Infinite Series: Converge or Diverge

For Students Higher Ed
For this infinite series worksheet, students determine if a series converges or diverges. Also, they estimate the value of the series. This two-page worksheet contains approximately 45 problems. This is a hand-written worksheet.
Worksheet
Curated OER

#### Sum of an Infinite Series

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

#### Introduction to Infinite Series

For Students Higher Ed
In this infinite series worksheet, students explore the pattern in a series of numbers. They solve a sequence of partial sums and identify the limit. This two-page worksheet contains explanations, examples and approximately five problems.
Worksheet
Curated OER

#### Convergence Tests for Infinite Series

For Students 12th - Higher Ed
In this convergence worksheet, students explore different tests for convergence of an infinite series of numbers. This six-page worksheet contains twelve multi-step problems.
Worksheet
Curated OER

#### Geometric Series

For Students Higher Ed
In this geometric series worksheet, students find the nth term in a geometric series. Explanations and examples are given. This two-page worksheet contains approximately ten problems.
Worksheet
Curated OER

#### Introduction to Taylor Series

For Students Higher Ed
In this Taylor series activity, students determine the difference between a Taylor series and a Taylor polynomial. They solve function problems. This two-page activity contains seven problems.
Worksheet
Curated OER

#### Infinite Geometric Series

For Students 10th - 12th
In this geometric series instructional activity, 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...
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...
Worksheet
Curated OER

#### Infinite Geometric Series

For Students 11th
In this infinite geometric series activity, 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...
Worksheet
Curated OER

#### Infinite Series

For Students 11th - Higher Ed
In 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.