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Worksheet
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\n\"The\n\n
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\nCurated OER\n
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\nThe Algebra of Summation Notation\n

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\n\nFor Students\n\n9th - 11th\n
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\nIn this algebra worksheet, students use the summation notation correctly as they solve problems. They define the integral of a function and solve problems involving i. There are 14 questions with an answer key.\n
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\n\"Summation\n\n
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\nCurated OER\n
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\nSummation Notation, Area, Riemann Sums\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nFor this math worksheet, learners explore the concepts of summation notation, area, and Riemann sums. Then they apply them for the word problems.\n
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\n\"Worksheet\n\n
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\nCurated OER\n
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\nWorksheet 23\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nFor this math worksheet, students practice using summation notation. Then they draw a picture of a sequence of partitions in which the mesh does not go to 0.\n
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\n\"Area,\n\n
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\nCurated OER\n
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\nArea, Riemann Sums and Summation Notation\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn 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.\n
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Lesson Plan
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\n\"Exploring\n\n
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\nCurated OER\n
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\nExploring the Area Under a Curve\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nUsing TI-89, mathematicians explore and investigate Riemann sums to estimate the area under the graphs of intervals by drawing and illustrating rectangles. They review and practice the concepts of summation notation and area formulas to...\n
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Worksheet
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\n\"Estimating\n\n
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\nCurated OER\n
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\nEstimating Pi as a Length\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this pi worksheet, students evaluate the curve of a quarter of a circle. They analyze the length of the curve, and explain that if the area under the curve is equal to pi, the length of the curve above is also equal to pi. Students...\n
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Lesson Plan
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\n\"Arithmetic\n\n
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\nWest Contra Costa Unified School District\n
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\nArithmetic Series\n

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\n\nFor Teachers\n\n9th - 12th\n
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\nFall 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...\n
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Lesson Plan
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\n\"The\n\n
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\nEngageNY\n
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\nThe Mathematics Behind a Structured Savings Plan\n

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\n\nFor Teachers\n\n10th - 12th\n\nStandards\n
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\nMake 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...\n
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Lesson Plan
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\n\"Calculating\n\n
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\nOdell Education\n
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\nCalculating Measures of Dispersion\n

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\n\nFor Teachers\n\n10th - 12th\n\nStandards\n
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\nDouble the fun — calculate two measures of deviation. The lesson plan provides information to lead the class through the process of calculating the mean absolute deviation and the standard deviation of a data set. After learning how to...\n
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Lesson Plan
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\n\"Analyzing\n\n
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\nVirginia Department of Education \n
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\nAnalyzing and Interpreting Statistics\n

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\n\nFor Teachers\n\n10th - 12th\n\nStandards\n
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\nUse measures of variance to compare and analyze data sets. Pupils match histograms of data sets to their respective statistical measures. They then use calculated statistics to further analyze groups of data and use the results to make...\n
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Worksheet
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\n\"Geometric\n\n
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\nCurated OER\n
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\nGeometric Sequences and Series\n

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\n\nFor Students\n\n9th - 11th\n
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\nIn this algebra worksheet, students solve sequences using the geometric mean for sequences and series. They have to find the next number in the pattern using the formula for geometric means. There are 23 problems to be solved.\n
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\n\"Infinite\n\n
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\nCurated OER\n
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\nInfinite Geometric Series\n

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\n\nFor Students\n\n11th\n
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\nIn this Algebra II activity, 11th graders use their knowledge of infinite geometric series to solve problems such as determine in the sum of a series, solving word problems, and converting repeating decimals to fractions.  The one...\n
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Worksheet
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\n\"Arithmetic\n\n
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\nCurated OER\n
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\nArithmetic and Geometric Sequences\n

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\n\nFor Students\n\n11th - 12th\n
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\nFor this algebra worksheet, learners perform operations using arithmetic and geometric sequences and series. They find the sum, missing and repeated terms. There are 22 problems\n
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\n\"Matrices\n\n
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\nCurated OER\n
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\nMatrices\n

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\n\nFor Students\n\n9th - 10th\n
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\nIn this calculus worksheet, students practice solving equations of area and integrals. There are 14 multi-step problems.\n
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Activity
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\n\"Paul's\n\n
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\nPaul Dawkins\n
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\nPaul's Online Notes: Calculus I: Summation Notation\n

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\n\nFor Students\n\n9th - 10th\n
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\nThe 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.\n
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Instructional Video
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\n\"Patrick\n\n
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\nPatrickJMT\n
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\nPatrick Jmt: Summation Notation\n

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\n\nFor Students\n\n9th - 10th\n
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\nIn this video, summation notation is explained using numerous examples. [10:15]\n
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eBook
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\n\"Missouri\n\n
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\nMissouri State University\n
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\nMissouri State University: Introductory Statistics: Summation Notation\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nProvides a complete look at the mathematical summation sign. Examples of how to interpret and use the sign are presented as needed.\n
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\n\nGet Free Access\n\nSee Review\n
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Instructional Video
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\n\"Sophia:\n\n
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\nSophia Learning\n
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\nSophia: Summation Notation\n

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\n\nFor Students\n\n9th - 10th\n
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\nThis video lesson introduces summation or sigma notation. The tutorial provides detailed examples. Students can check their understanding with an assessment.\n
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\n\nGet Free Access\n\nSee Review\n
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Activity
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\n\"Uc\n\n
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\nUniversity of California\n
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\nUc Davis: The Algebra of Sigma (Summation) Notation\n

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\n\nFor Students\n\n9th - 10th\n
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\nThis page introduces the use of the sigma, or summation, sign. Also provides the properties of summation and gives answers to fourteen good learning exercises.\n
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\n\nGet Free Access\n\nSee Review\n
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Unit Plan
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\n\"Wtamu\n\n
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\nTexas A&M University\n
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\nWtamu Virtual Math Lab: College Algebra: Series\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nUsing this tutorial, you'll learn to complete many tasks associated with summation, series, and sequences. Offers definitions and examples of summation notation, series, finite series, and infinite series, as well as several sample...\n
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Handout
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\n\"University\n\n
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\nOther\n
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\nUniversity of Northern Iowa: Summation Notation\n

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\n\nFor Students\n\n9th - 10th\n
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\nThis site from the University of Northern Iowa explains the sigma notation and gives an example.\n
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Activity
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\n\"Pre\n\n
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\nMath Notes and Math Tests\n
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\nPre Calculus Notes: Sequences and Series [Pdf]\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nThe tutorial discusses sequences and series. Students learn about factorials, recursively defined sequences, and summation notation. The resource consists of class notes and examples with solutions.\n
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Unit Plan
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\n\"Ck\n\n
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\nCK-12 Foundation\n
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\nCk 12: Analysis: Sum Notation and Properties of Sigma\n

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\n\nFor Students\n\n10th - 12th\n
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\n[Free Registration/Login may be required to access all resource tools.] An introduction to summation notation and basic operations on sigma.\n
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Activity
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\n\"Wolfram\n\n
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\nWolfram Research\n
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\nWolfram Math World: Sum\n

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\n\nFor Students\n\n9th - 10th\n
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\nThis 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...\n
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\n\nGet Free Access\n\nSee Review\n
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