Unit Plan
Mangahigh

Mangahigh: Algebra: Find the Nth Term of a Nonlinear Sequence

For Students 9th - 10th Standards
Students explore an interactive tutorial on nonlinear sequences and then practice their knowledge by attempting ten questions that increase in difficulty level.
Activity
Texas Instruments

Texas Instruments: Serious Series

For Teachers 9th - 10th Standards
Students learn about geometric and telescoping series and the relationship between the sequence of partial sums of a series and its sum. They then use the CAS of their TI-89 and calculus to determine the sum of these 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.
Handout
Math Open Reference

Math Open Reference: Series

For Students 9th - 10th Standards
A complete reference guide to a series. It provides definitions, examples, and an animation that enhances further explanation. Includes links to related topics.
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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.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Sequences and Series

For Students 9th - 10th Standards
Hotmath provides 20 practice problems relating to sequences and series. Each of the practice problems include a step-by-step guide for solving.
Lesson Plan
Shodor Education Foundation

Shodor Interactivate: Lesson: Introduction to Arithmetic and Geometric Sequence

For Teachers 9th - 10th Standards
This lesson plan offers an introduction to sequences. Through the use of computers, students are able to see what happens to the sequences when multipliers and add on values are changed.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Algebra Review: Arithmetic Sequences

For Students 9th - 10th Standards
Find a quick, concise explanation of arithmetic sequences. The formula for the nth term and several examples are given to help you understand how to find the nth term of a variety of arithmetic sequences.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Algebra Review: Geometric Sequences

For Students 9th - 10th Standards
Find a quick, concise explanation of geometric sequences. The formula for the nth term and several examples are given to help you understand how to find the nth term of a variety of geometric sequences.
eBook
Math Planet

Math Planet: Algebra 2: Arithmetic Sequences and Series

For Students 9th - 10th Standards
Provides an explanation, examples, and a video lesson all related to arithmetic sequences and series.
Unit Plan
CK-12 Foundation

Ck 12: Geometry: Visual Patterns Grades 10 12

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] This lesson covers how to find the next term in a sequence.
Activity
Math Notes and Math Tests

Pre Calculus Note: Arithmetic Sequences and Partial Sums [Pdf]

For Students 9th - 10th Standards
The tutorial discusses sequences and series. Students learn about arithmetic sequences, geometric sequences, partial sums, and infinite geometric series. The resource consists of class notes and examples with solutions.
Handout
National Council of Teachers of Mathematics

The Math Forum: Finding a Term of an Arithmetic Series

For Students 9th - 10th Standards
This site from the Math Forum contains a common question asked by students learning about arithmetic series which is answered by Dr. Math in a format that is understandable for all ages.
Website
Howard Hughes Medical Institute

Hhmi: Bio Interactive: Understanding Sequence Assembly

For Students 9th - 10th
A series of lecture clips helps explain how DNA sequencing is done by using the analogy of shredding multiple copies of a book and then reassembling the text by finding overlapping fragments. The ultimate goal of DNA sequencing is to...
Graphic
Virginia Commonwealth University

Don Mikulecky: The Limit of a Sequence

For Students 9th - 10th
A series of slides discussing the mathematical limit of a sequence. The slideshow is straight-forward, providing terminology and examples of how to find sequence limits. The slideshow goes on to discuss series, and more.
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.
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Northwestern University

North Western University: Series [Pdf]

For Students 9th - 10th
The definition of a series is provided in a PDF document. The document also details the geometric, telescoping and harmonic series, tests for divergence, and series rules.
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Khan Academy

Khan Academy: Algebra I: Extend Geometric Sequences

For Students 9th - 10th Standards
Given the first few terms in a geometric sequence, find the next term in the sequence. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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Khan Academy

Khan Academy: Algebra I: Extend Geometric Sequences: Negatives & Fractions

For Students 9th - 10th
Find the next term in a geometric sequence. The problems in this quiz involve relatively difficult calculations. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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Khan Academy

Khan Academy: Algebra I: Extend Arithmetic Sequences

For Students 9th - 10th Standards
Given the first few terms in an arithmetic sequence, find the next term in the sequence. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Unknown Type
Khan Academy

Khan Academy: Algebra I: Sequences Word Problems

For Students 9th - 10th Standards
Given a verbal description of a real-world relationship, determine the sequence that models that relationship. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Activity
Texas Instruments

Texas Instruments: Activities: Numb3 Rs: Growing Geometrically

For Teachers 9th - 10th
Based off of the hit television show NUMB3RS, this lesson introduced students to the concept of geometric growth and geometric series/sequences. Students explore some real-life examples of geometric growth, such as chain letters, bank...
Unit Plan
Oswego City School District

Regents Exam Prep Center: Sequences

For Students 9th - 10th
The lesson discusses sequences. Students learn about finite sequences, infinite sequences, and sequences with patterns. The resource consists of class notes, calculator tips, examples, and practice problems with solutions. The teacher...
Lesson Plan
Read Works

Read Works: Sequence 3rd Grade Unit

For Teachers 3rd - 5th Standards
[Free Registration/Login Required] This website provides a series of two lesson plans designed to teach students to create a graphic organizer showing the sequence of events in a fiction text. The lessons include ideas for direct...

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