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...
Lesson Plan
Read Works

Read Works: Sequence 1st Grade Unit

For Teachers Pre-K - 1st Standards
[Free Registration/Login Required] This site provides a series of three lesson plans designed to teach students to recognize and use word clues to put story events into the correct sequence and retell the story accordingly. Lessons are...
Interactive
Shodor Education Foundation

Shodor Interactivate: Sequencer

For Students 9th - 10th Standards
Learn about number patterns in sequences and recursions by specifying a starting number, multiplier, and add-on. The numbers in the sequence are displayed on a graph, and they are also listed below the graph.
Lesson Plan
Read Works

Read Works: Grade 2: Three Lesson Unit: Sequence

For Teachers Pre-K - 1st Standards
[Free Registration/Login Required] A series of three lesson plans designed to teach learners to retell and summarize a fiction story told in chronological order and a story told with flashback. Lessons are based on the books First Day...
Unit Plan
Mangahigh

Mangahigh: Algebra: The Term to Term Rule

For Students 9th - 10th Standards
Students explore the concept of the term to term rule by working through an online tutorial and then attempting a ten question quiz that increases in difficulty as questions are answered correctly.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A sse.b.4: Course of Antibiotics

For Teachers 9th - 10th
This task presents a real world application, prescribing a course of antibiotics. In this task, a finite geometric series is utilized. Aligns with A-SSE.B.4.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A sse.b.4: Cantor Set

For Teachers 9th - 10th
This tasks requires young scholars to explore properties of the Cantor Set, which has many uncountable points, no intervals of real numbers, and has length of zero. Aligns with A-SSE.B.4.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A sse.b.4: A Lifetime of Savings

For Teachers 9th - 10th
The purpose of this instructional task is to give learners an opportunity to construct and find the value of a geometric series in a financial literacy context. Aligns with A-SSE.B.4.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Sse.4: You Tube Explosion

For Teachers 9th - 10th
This task, commentary, and solutions, were authored by Lacey Dixon and Jonathan Utegaard of The University of Arizona. The purpose of this task is to have learners derive the formula for the sum of a specific finite geometric series....
Graphic
Wolfram Research

Wolfram Math World: Alcuin's Sequence

For Students 9th - 10th
A demonstration of Alcuin's Sequence.
Unit Plan
Oswego City School District

Regents Exam Prep Center: Arithmetic and Geometric Sequences and Series

For Students 9th - 10th Standards
The lesson discusses arithmetic and geometric sequences and series. The resource consists of class notes, calculator tips, examples, and practice problems with solutions. The teacher resource demonstrates the origins of the formulas.
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McGraw Hill

Glencoe Mathematics: Online Study Tool: Quiz on Infinite Sequences and Series

For Students 9th - 10th
Learners exhibit comprehension of advanced mathematical concepts in Algebra II. The online quiz tests the scholars on infinite sequences and series.
Activity
Texas Instruments

Texas Instruments: Sequences

For Teachers 9th - 10th
Students learn how to graph the first n terms of a sequence, how to set the window and how to evaluate the nth term of a sequence. They also explore the Fibonacci sequence and Web plots.
Unit Plan
BBC

Bbc: Higher Bitesize Maths: Sequences: Recurrence Relations

For Students 9th - 10th Standards
A tutorial on recurrence relations focuses on the topic of sequences and works with limits. Several examples are included.
Unit Plan
Oswego City School District

Regents Exam Prep Center: Sigma Notation and Series

For Students 9th - 10th
The lesson discusses sigma notation and series. Students learn about strategies to find an expression for a sequence or series. The resource consists of class notes, calculator tips, examples, and practice problems with solutions. The...
Lesson Plan
Texas Instruments

Texas Instruments: Exploring Infinite Series

For Teachers 9th - 10th Standards
In this activity, students learn to identify geometric series. They determine if a sequence converges and also learn to calculate the sum of numbers in a geometric series.

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