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Instructional Video2:28
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\n\"STEMbite:\n\n
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\nCurated OER\n
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\nSTEMbite: The Calculus of Building Blocks\n

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\n\nFor Students\n\n9th - 12th\n
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\nWatch this video with your junior engineers or your higher-level mathematicians. In it, Drew builds half of an arch bridge with building blocks. There happens to be a magnetic board behind the blocks, on which he affixes a magnet for...\n
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Instructional Video2:54
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\n\"Solving\n\n
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\nEducator.com\n
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\nSolving Integrals Using Substitution\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nThe concept of solving integrals by substitution with trigonometric functions is modeled by a video designed for AP Calculus classes. The narrator works an example problem using substitution and shows that careful substitution...\n
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Instructional Video10:30
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\n\"Integration\n\n
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\nEducator.com\n
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\nIntegration by Partial Fractions\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nDemonstrate a complex integration by using partial fractions with an AP Calculus resource that works an example of integrating a rational function. The function's denominator has linear factors with one of them repeated. \n
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Instructional Video5:42
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1
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\n\"Integration\n\n
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\nEducator.com\n
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\nIntegration by Parts\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nClass members view how to derive the formula to integrate by parts with a video that uses the Product Rule from the beginning of AP Calculus to derive the rule to integrate products. The resource shows the...\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 - Early Transcendentals\n

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\n\nFor Teachers\n\n9th - Higher Ed\n\nStandards\n
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\nThis textbook takes the learner from the basic definition of slope through derivatives, integrals, and vector multivariable calculus. Each section is composed primarily of examples, with theoretical introductions and explanations in...\n
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Instructional Video12:39
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\n\"What\n\n
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\n3Blue1Brown\n
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\nWhat Does Area Have to Do with Slope? | Essence of Calculus, Chapter 9\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIt seems like area and slope wouldn't have any connection. Here is a video that explains how to find the average value of a function over an interval. It connects the area under a curve to the slope of the antiderivative curve.\n
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AP Test Prep11:54
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1
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\n\"Calculus\n\n
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\nFlipped Math\n
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\nCalculus AB/BC - The Fundamental Theorem of Calculus and Accumulation Functions\n

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\n\nFor Students\n\n10th - 12th\n
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\nConnect integrals with differentiation. The beginning of the video introduces the definition of an accumulation function. Scholars learn about the relationship between integrals and derivatives. Using what is commonly known as Part Two...\n
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AP Test Prep16:14
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1
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\n\"Calculus\n\n
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\nFlipped Math\n
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\nCalculus AB/BC - Finding Antiderivatives and Indefinite Integrals: Basic Rules and Notation\n

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\n\nFor Students\n\n10th - 12th\n
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\nCalculus classes definitely need to learn about indefinite integrals. Individuals watch an informative video to learn the antiderivative rules for exponential, logarithmic, trigonometric, and inverse trigonometric functions. To solidify...\n
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AP Test Prep
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\n\"2012\n\n
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\nCollege Board\n
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\n2012 AP® Calculus AB Free-Response Questions\n

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\n\nFor Students\n\n10th - 12th\n
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\nWhat's on the test? Released items provide insight into the AP Calculus test. The six items are split into two groups, two calculator items and four non-calculator items. Resources allow teachers to see what kinds of answers test takers...\n
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AP Test Prep
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\n\"2011\n\n
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\nCollege Board\n
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\n2011 AP® Calculus AB Free-Response Questions\n

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\n\nFor Students\n\n10th - 12th\n
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\nSo this is the real test? The resource provides the free-response questions from the 2011 AP Calculus AB exam. The six questions are split into two sections, calculator and non-calculator items. Several resources give teachers...\n
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AP Test Prep
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\n\"2014\n\n
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\nCollege Board\n
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\n2014 AP® Calculus BC Free-Response Questions\n

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\n\nFor Students\n\n10th - 12th\n
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\nHow much of the material is really important? Pupils use the free-response questions from the 2014 AP Calculus BC exam to see how the questions appear. With the supporting material, teachers understand the topics that appear on the test...\n
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AP Test Prep
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\n\"2015\n\n
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\nCollege Board\n
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\n2015 AP® Calculus AB Free-Response Questions\n

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\n\nFor Students\n\n10th - 12th\n
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\nHow will the topics be assessed? Using the six released items from the Calculus AB test, pupils see how the exam assesses content from the course. With the additional materials covering test taker's responses and scoring keys, teachers...\n
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AP Test Prep
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\n\"2014\n\n
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\nCollege Board\n
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\n2014 AP® Calculus AB Free-Response Questions\n

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\n\nFor Students\n\n10th - 12th\n
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\nGive classes a sneak peek at an upcoming test. Scholars work released items from the AP Calculus AB test to prepare for their own exams. The resource consists of six items, two graphing calculator items, and four non-calculator items....\n
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AP Test Prep
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\n\"2015\n\n
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\nCollege Board\n
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\n2015 AP® Calculus BC Free-Response Questions\n

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\n\nFor Students\n\n10th - 12th\n
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\nHow will the exam ask this question? The free-response questions from the 2015 AP Calculus BC exam demonstrate how questions appear on the test. Using the questions, pupils gain experience answering similar inquiries to what they see on...\n
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AP Test Prep
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\n\"2006\n\n
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\nCollege Board\n
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\n2006 AP® Calculus AB Free-Response Questions\n

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\n\nFor Students\n\n10th - 12th\n
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\nDevelop more than just a topical approach to the exam. The six free-response questions from 2006 reveal how the AP exam assesses topics. By using the questions, pupils practice topics such as velocity, sketch slope fields, solving...\n
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AP Test Prep
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\n\"2010\n\n
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\nCollege Board\n
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\n2010 AP® Calculus AB Free-Response Questions\n

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\n\nFor Students\n\n10th - 12th\n
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\nIs this going to be on the test? The resource contains the AP Calculus AB free-response questions that were on the 2010 test. Pupils use the six questions to prepare for their tests. Teachers use the included response resources...\n
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AP Test Prep
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\n\"2007\n\n
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\nCollege Board\n
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\n2007 AP® Calculus BC Free-Response Questions\n

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\n\nFor Students\n\n10th - 12th\n
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\nProvide a review for the exam so individuals don't tank. AP® provides the free-response questions for teachers to use to help their pupils prepare for the exam. The six BC questions from 2007 include regions bounded by functions, water...\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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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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Instructional Video9:00
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\n\"Natural\n\n
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\nEducreations\n
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\nNatural Log Function-Integration\n

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\n\nFor Teachers\n\n11th - Higher Ed\n\nStandards\n
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\nOne of the strongest tools in integration is u-substitution, particularly when working with natural logs. In this step-by-step video presentation, a pleasant-voiced instructor walks through a number of integration problems. She...\n
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Lesson Plan
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\n\"Computing\n\n
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\nCurated OER\n
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\nComputing Indefinite Integrals\n

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\n\nFor Teachers\n\n11th - Higher Ed\n
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\nProvide your learners with a framework for introducing indefinite integrals. It takes into account a learner’s prior knowledge of slope fields and definite integrals and uses the notion of an antiderivative to give them an intuitive...\n
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AP Test Prep
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1
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\n\"Calculus\n\n
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\nFlipped Math\n
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\nCalculus AB/BC Mid-Unit 6 Review: Integration and Accumulation of Change\n

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\n\nFor Students\n\n10th - 12th\n
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\nAccumulate 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...\n
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Lesson Plan
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\n\"Piecewise\n\n
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\nCurated OER\n
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\nPiecewise Linear Integral\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nYoung mathematicians solve and graph piecewise functions in this calculus lesson. They integrate linear functions containing restrictions and graph their answers using the TI.\n
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Lesson Plan
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\n\"InteGreat\n\n
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\nShodor Education Foundation\n
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\nInteGreat\n

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\n\nFor Teachers\n\n9th - Higher Ed\n\nStandards\n
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\nHands-on investigation of Riemann sums becomes possible without intensive arithmetic gymnastics with this interactive lesson plan. Learners manipulate online graphing tools to develop and test theories about right, left, and...\n
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