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AP Test Prep
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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
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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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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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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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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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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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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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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Lesson Plan
Curated OER

Binomial Expansion

For Teachers 11th - Higher Ed
In this binomial expansion worksheet, learners 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
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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

Geometric and Arithmetic Sequences

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

Nine Sigma Notation Problems

For Students 11th - Higher Ed
In this sigma notation worksheet, students find the value of nine problems containing sigma notation. The solutions 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

Area, Riemann Sums and Summation Notation

For Students Higher Ed
In this math worksheet, 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 for rectangles.
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Activity
Wolfram Research

Wolfram Math World: Sum

For Students 9th - 10th
This page gives a complete discussion of the advanced applications of the summation operation in mathematics. Provides information about sigma, or summation notation, a manner of writing sums and how to manipulate them. The site also...
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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.
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Activity
University of California

Uc Davis: The Algebra of Sigma (Summation) Notation

For Students 9th - 10th
This page introduces the use of the sigma, or summation, sign. Also provides the properties of summation and gives answers to fourteen good learning exercises.
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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...
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Unknown Type
McGraw Hill

Glencoe Mathematics: Online Study Tool: Self Check Quiz on Sigma Notation

For Students 9th - 10th
Students demonstrate comprehension of advanced mathematical concepts. The online quiz tests the scholars on sigma notation and the ?nth? term.
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Activity
Paul Dawkins

Paul's Online Notes: Calculus I: Summation Notation

For Students 9th - 10th
The tutorial reviews summation notation. Topics discussed are the properties and formulas for summation notation. Class notes, definitions, and examples with detailed solutions are included. The notes are available in pdf format.
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Handout
Other

The Sigma Notation for Summation of Series

For Students 9th - 10th
Conprehensive site explaining sigma notation. Site has many formulas and a few examples
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Interactive
Cool Math

Coolmath: Series and Sigma Notation

For Students 9th - 10th
Explanation and examples for series and sigma notation.
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Unknown Type
Khan Academy

Khan Academy: Finite Geometric Series in Sigma Notation

For Students 9th - 10th
Practice writing finite geometric series like 3 + 6 + 12 + 24 in sigma notation. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.