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AP Test Prep
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\n\"AP®\n\n
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\nCollege Board\n
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\nAP® Calculus: Special Focus - Infinite Series\n

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\n\nFor Teachers\n\n10th - 12th\n
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\nRead a series to develop an understanding of series. The special focus professional development on infinite series consists of eight articles. Articles contain information strictly for teachers along with aspects to incorporate into the...\n
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\n\nGet Free Access\n\nSee Review\n
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eBook
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\n\"Calculus\n\n
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\nRice University\n
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\nCalculus Volume 2\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nDelve into the middle of calculus. The resource is the second eBook of three that covers the complete calculus content. Seven chapters begin with integrals and different methods of integration before moving on to differential equations....\n
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\n\nGet Free Access\n\nSee Review\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 Infinite Series\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nLearners analyze geometric series in detail. They determine convergence and sum of geometric series, identify a series that satisfies the alternating series test and utilize a graphing handheld to approximate the sum of a series.\n
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Worksheet
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\n\"Infinite\n\n
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\nCurated OER\n
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\nInfinite Series\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIn this math worksheet, students examine the infinite series. They determine if it diverges or converges. Example 2 and 3 is group work to apply the tests for convergence or divergence.\n
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Lesson Plan
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\n\"Serious\n\n
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\nTexas Instruments\n
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\nSerious Series\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nHigh schoolers are introduced to infinite series, geometric and telescoping series as well as the relationship between the sequence of partial sums of a series and its sum. They apply symbolic capacity of their calculator and calculus to...\n
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\n\nGet Free Access\n\nSee Review\n
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eBook
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\n\"Calculus\n\n
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\nWhitman College\n
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\nCalculus\n

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\n\nFor Students\n\n11th - Higher Ed\n\nStandards\n
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\nEverything you wanted to know about calculus—and more! The resource is a complete Calculus textbook with explanations, examples, and practice problems. \n
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\n\nGet Free Access\n\nSee Review\n
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Worksheet
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\n\"Sum\n\n
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\nCurated OER\n
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\nSum of an Infinite Series\n

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\n\nFor Students\n\n12th - Higher Ed\n
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\nIn this word problem worksheet, students solve one sum of an infinite/rate problem.  The rate problem is solvable in two ways.  The easiest approach is provided.\n
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Worksheet
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\n\"Basic\n\n
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\nCurated OER\n
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\nBasic Calculus II: Quiz 8\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this infinite series worksheet, students use comparisons to determine convergence for improper integrals. They use the integral test for infinite series. Students state the reasons they believe a given integral is converging or...\n
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Worksheet
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\n\"Testing\n\n
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\nCurated OER\n
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\nTesting Infinite Series for Convergence/ Divergence\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIn this math instructional activity, learners investigate the concepts of divergence and convergence for the functions. The sheet is handwritten and has poor quality.\n
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Interactive
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\n\"Sums\n\n
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\nCK-12 Foundation\n
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\nSums of Geometric Series\n

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\n\nFor Students\n\n11th - Higher Ed\n\nStandards\n
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\nGeometric series either get bigger or approach a single number. So, how do you know which it is? An interactive presents three different geometric series with varying common ratios. With the aid of patterns, pupils determine values of r...\n
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Interactive
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\n\"Sequence\n\n
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\nCK-12 Foundation\n
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\nSequence of Partial Sums: Partial Sums\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nHave some fun building squares out of triangles. Pupils investigate the partial sums of odd numbers. Using the sum of the first four odd numbers, learners see that it can be rewritten as a sum containing a triangular number. Simplifying...\n
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Worksheet
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\n\"Worksheet\n\n
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\nCurated OER\n
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\nWorksheet 35\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIn this math worksheet, students write a problem having solution u(x, t) for each function u given. They include the lengths, physical constants, and initial conditions.\n
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Handout
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\n\"Wolfram\n\n
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\nWolfram Research\n
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\nWolfram Math World: Infinite Series\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nThe site contains information on infinite series. Includes formulas and links to related topics.\n
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\n\nGet Free Access\n\nSee Review\n
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Online Course
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\n\"Mit:\n\n
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\nMassachusetts Institute of Technology\n
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\nMit: Open Course Ware: Calculus (Textbook Study Guide)\n

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\n\nFor Teachers\n\n9th - 10th\n
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\nThe online course consists of a study guide about calculus. Topics included are differentiation, vectors, infinite series, polar coordinates, and integration.\n
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\n\nGet Free Access\n\nSee Review\n
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Online Course
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\n\"Mit:\n\n
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\nMassachusetts Institute of Technology\n
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\nMit: Open Course Ware: Calculus (Textbook Instructor's Manual)\n

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\n\nFor Teachers\n\n9th - 10th\n
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\nThe online course consists of a textbook instructor's manual about calculus concepts. Topics included are differentiation, vectors, infinite series, polar coordinates, and integration.\n
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\n\nGet Free Access\n\nSee Review\n
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Online Course
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\n\"Mit:\n\n
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\nMassachusetts Institute of Technology\n
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\nMit: Open Course Ware: Calculus (Textbook)\n

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\n\nFor Teachers\n\n9th - 10th\n
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\nThe online course consists of a textbook about calculus concepts. Topics included are differentiation, vectors, infinite series, polar coordinates, and integration.\n
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\n\nGet Free Access\n\nSee Review\n
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Instructional Video
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\n\"Khan\n\n
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\nKhan Academy\n
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\nKhan Academy: Pre Calculus: Sequences and Series (Part 2)\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nThis video follows from Khan Academy: Sequences and Series (Part 1) and furthers the idea of the basic geometric series. Explains how to find the sum of both a finite and an infinite geometric series. Uses limits to find the sum of an...\n
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\n\nGet Free Access\n\nSee Review\n
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Graphic
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\n\"Rice\n\n
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\nRice University\n
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\nRice University: Cynthia Lanius: Visualizing an Infinite Series\n

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\n\nFor Students\n\n9th - 10th\n
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\nThis site explains the infinite series through visualization.\n
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\n\nGet Free Access\n\nSee Review\n
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Online Course
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\n\"Mit:\n\n
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\nMassachusetts Institute of Technology\n
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\nMit: Open Course Ware: Calculus With Theory\n

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\n\nFor Teachers\n\n9th - 10th\n
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\nThe online course consists of educational materials about calculus theory. Lecture notes, syllabus, and assignments with solutions are included.\n
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\n\nGet Free Access\n\nSee Review\n
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Activity
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\n\"Old\n\n
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\nOther\n
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\nOld Dominion University: Calculus Animations W Mathcad\n

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\n\nFor Students\n\n9th - 10th\n
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\nExplanations and animations of limits, slopes, derivatives, arc length, infinite series, conic sections, cycloids, parametric curves, polar curves, quadric surfaces, and more.\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 Ii: Series and Sequences\n

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\n\nFor Students\n\n9th - 10th\n
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\nThe resource examines sequences and infinite series. Topics investigated are power series, convergence, comparison test, integral test, ratio test, and Taylor series. Class notes, definitions, and examples with detailed solutions are...\n
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\n\nGet Free Access\n\nSee Review\n
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Instructional Video
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\n\"Khan\n\n
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\nKhan Academy\n
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\nKhan Academy: Pre Calculus: Series Sum Example\n

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\n\nFor Students\n\n9th - 10th\n
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\nA video which gives the step-by-step solution to a difficult series sum problem from the Joint Entrance Exam for the Indian Institutes of Technology. It is problem 54 from Paper 1 of the 2010 exam. Students learn how to find the sum of a...\n
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\n\nGet Free Access\n\nSee Review\n
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Activity
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\n\"Texas\n\n
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\nTexas Instruments\n
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\nTexas Instruments: Integral Test\n

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\n\nFor Teachers\n\n9th - 10th\n
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\nThis activity will demonstrate the use of the integral test to discuss the convergence of an infinite series.\n
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\n\nGet Free Access\n\nSee Review\n
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Activity
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\n\"Old\n\n
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\nOther\n
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\nOld Dominion University: Geometric Series\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nThis site explains the geometric series. There is a link to the theory of the geometric theory.\n
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\n\nGet Free Access\n\nSee Review\n
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