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Interactive
CK-12 Foundation

Sum Notation and Properties of Sigma: Cracking the Code

For Students 11th - Higher Ed
Help your class develop an understanding of sigma notation. Pupils match the sigma notation with the sums. Using the expanded sums, learners evaluate the summations. The scholars move on to prove a property of sums.
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Worksheet
Curated OER

Sigma Notation

For Students 11th
In this Algebra II worksheet, 11th graders demonstrate an understanding of and the ability to apply sigma notation to problem solving situations.  The one page worksheet contains a combination of twelve multiple choice and free response...
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Lesson Plan
EngageNY

The Mathematics Behind a Structured Savings Plan

For Teachers 10th - 12th Standards
Make your money work for you. Future economists learn how to apply sigma notation and how to calculate the sum of a finite geometric series. The skill is essential in determining the future value of a structured savings plan with...
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Worksheet
Curated OER

Nine Sigma Notation Problems

For Students 11th - Higher Ed
In this sigma notation worksheet, learners find the value of nine problems containing sigma notation. The solutions are provided.
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Worksheet
Curated OER

Sigma Notation and Series

For Students 11th
For this sigma notation and series worksheet, 11th graders identify and complete 10 different problems that include determining the sigma notation and series of each problem. First, they determine the sequence in each given a set of...
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Lesson Plan
Curated OER

Sequences and Series

For Teachers 9th - 12th
Students use Excel Database to explore sequences and series. They examine how to calculate term positions and Sigma Notations. Students use Excel to calculate the values and they print the pages for grading.
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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 introduces the idea of adding up the terms of an arithmetic sequence. Pupils learn how to use Sigma notation to...
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Worksheet
Curated OER

Area, Riemann Sums and Summation Notation

For Students Higher Ed
In this math instructional activity, students solve four problems written in sigma notation. They use Riemann sums to find the areas in four problems involving rectangles. Students work in groups to compute the Riemann sum approximations...
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Lesson Plan
Curated OER

Binomial Expansion

For Teachers 11th - Higher Ed
In this binomial expansion worksheet, students solve and complete 81 various types of problems. First, they find the given sum and evaluate each factorial notation. Then, students expand each binomial and write only the coefficients....
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Worksheet
1
1
Curated OER

Arithmetic and Geometric Sequences

For Students 11th
In this arithmetic and geometric sequences worksheet, 11th graders solve and complete 34 various types of problems. First, they find the described term in each sequence. Then, students complete the geometric sequences and find the value...
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Worksheet
Curated OER

Arithmetic and Geometric Sequences

For Students 11th
In this arithmetic and geometric sequences worksheet, 11th graders solve and complete 37 various types of problems. First, they determine the term of each sequence shown. Then, students find the given term number using sigma notation....
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Worksheet
Curated OER

Introduction to Series

For Students 11th
In this Algebra II/Pre-calculus worksheet, 11th graders rewrite a series as a sum, evaluate a series, and rewrite a series using sigma notation.  The two page worksheet contains 32 problems.  Answers are provided.
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Worksheet
Curated OER

Sequences

For Students 11th
In this sequences worksheet, 11th graders solve and complete 10 different problems that include various sequence types. First, they find the term described in each sequence. Then, students evaluate using sigma notation. They also find...
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Worksheet
Curated OER

Geometric and Arithmetic Sequences

For Students 11th - 12th
In this Algebra II/Pre-calculus worksheet, students solve advanced problems based on geometric and arithmetic sequences, including the use of sigma notation. The five page worksheet contains forty-five problems.  Answers are not included.
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Assessment
EngageNY

End-of-Module Assessment Task - Algebra 2 (Module 3)

For Teachers 10th - 12th Standards
The last installment of a 35-part series is an assessment task that covers the entire module. It is a summative assessment, giving information on how well pupils understand the concepts in the module.
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AP Test Prep
1
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Flipped Math

Calculus AB/BC Mid-Unit 6 Review: Integration and Accumulation of Change

For Students 10th - 12th
Accumulate the content so far. Learners review the content from the first five lessons dealing with accumulation functions. The eight problems go over finding maximums, minimums, concavity, points of inflection, and intervals of increase...
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Lesson Plan
Curated OER

Proof by Induction

For Teachers 12th
Twelfth graders define and prove theorems using induction. In this calculus instructional activity, 12th graders differentiate between inductive reasoning and deductive reasoning. They review sigma notations and work proofs by induction.
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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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Worksheet
Curated OER

Sequences and Series

For Students 9th - 11th
In this sequences and series worksheet, students find the sum of a given geometric series. They use sigma notation to express a geometric series. This one-page worksheet contains 12 problems.
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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...
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Worksheet
Curated OER

Integrating Functions

For Students 6th - 8th
In this math worksheet, middle schoolers find the answers to the functions that includes integration and trigonometry. They use the examples for help with the special functions.
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Interactive
Curated OER

Review of Calculus BC II

For Students 11th - 12th
In this Calculus worksheet, students assess their understanding of various topics, including the derivatives of trigonometric functions, evaluating integrals, sigma notation, and convergent and divergent series.  The one page interactive...
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Worksheet
Curated OER

Sequences and Series

For Students 9th - 11th
In this algebra worksheet, students find the formula for the sequences and summation of each problem. There are 14 questions with a detailed answer key.
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Lesson Plan
1
1
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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