{"results":"
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\nLesson Planet Curated\n
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\nAP Calculus AB\n

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\n\nFor Students\n\n11th - 12th\n
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\nPrepare high school mathematicians for the AP Calculus AB exam with a collection of 38 videos that can be used to introduce the topics or as a review. The videos focus on two processes; differentiating a function and integrating a...\n
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\n\n73\nItems in Unit\n\n
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\nLesson Planet Curated\n
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\nAP Calculus AB Unit 6: Integration and Accumulation of Change\n

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\n\nFor Teachers\n\n11th - 12th\n
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\nThe 14 lessons in the AP Calculus AB Unit 6: Integration and Accumulation of Change use informative videos to introduce the topic of each lesson and model procedures. Each resource packet includes a video, worksheets, practice solutions,...\n
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\n\nGet Free Access\n
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\n\n103\nItems in Unit\n\n
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\n\"AP\n\n
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\nLesson Planet Curated\n
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\nAP Calculus AB Unit 1: Limits and Continuity\n

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\n\nFor Students\n\n11th - 12th\n
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\nFlip your classroom and teach AP Calculus remotely! Unit 1 of the course focuses on limits and continuity. Informative videos introduce each lesson's topic, and the resource packets include worksheets, practice solutions, and two...\n
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\n\nGet Free Access\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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\n\"Integrals\n\n
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\nCurated OER\n
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\nIntegrals involving Trig Substitution\n

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\n\nFor Teachers\n\n12th\n
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\nTwelfth graders solve derivatives using trig substitution. In this trigonometry lesson plan, 12th graders integrate integrals by substituting trig values into the equations. They review detailed examples before solving problems on their...\n
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\n\"Integrals\n\n
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\nCurated OER\n
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\nIntegrals involving Trig Substitution\n

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\n\nFor Teachers\n\n11th - 12th\n
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\nStudents define integrals and list the trig values. In this calculus activity, students integrate functions using trig substitution. They solve integrals containing sums and differences of squares.\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 1\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nDifferentiate between calculus concepts. The beginning of a helpful calculus resource begins with a short review of functions and moves right into limits to define derivatives. The six-chapter resource continues with applications of...\n
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\n\nGet Free Access\n\nSee Review\n
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Handout
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\n\"Math\n\n
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\nCurated OER\n
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\nMath Handbook: Calculus\n

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\n\nFor Students\n\n10th - 12th\n
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\nIf only there was a reference that listed all the formulas covered in calculus. Luckily, there is. This comprehensive 197-page handbook provides formulas and explanations for all topics in AP Calculus or in a standard college calculus...\n
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\n\nGet Free Access\n\nSee Review\n
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Instructional Video5:06
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1
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\n\"Derivatives\n\n
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\nKrista King Math\n
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\nDerivatives of Inverse Trig Functions - Arcsin\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nPut another link in the chain. With the aid of the chain rule, the presentation shows how to take the derivative of an arcsin function with a binomial argument. The 15th video in a 31-part series goes on to work through the...\n
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\n\nGet Free Access\n\nSee Review\n
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AP Test Prep11:03
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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 - Determining Limits Using Algebraic Manipulation\n

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\n\nFor Students\n\n10th - 12th\n
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\nSometimes a little manipulation goes a long way. The sixth of 18 videos in Unit 1 - Limits and Continuity shows viewers how to use algebraic manipulation to determine limits. They first use substitution and factoring, then apply special...\n
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\n\"Integration\n\n
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\nCurated OER\n
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\nIntegration by Substitution\n

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\n\nFor Teachers\n\n11th - Higher Ed\n
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\nLooking for help in introducing integration by substitution to your calculus students?  Here is a lesson that walks a learner through a review of the change rule, and then by starting with more recognizable derivatives, it helps...\n
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\n\"Derivatives\n\n
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\nCurated OER\n
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\nDerivatives of the 6 Inverse Trig Functions\n

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\n\nFor Teachers\n\n11th - 12th\n
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\nStudent list the 6 trig functions and identify their inverse functions. In this trigonometry activity, students derive the inverse trig functions using the derivative. They solve problems using the inverse functions through...\n
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Worksheet
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\n\"Even\n\n
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\nCurated OER\n
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\nEven More Calculus\n

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\nIn this calculus worksheet, 12th graders differentiate and integrate basic trigonometric functions, calculate rates of change, and integrate by substitution and by parts.  The twenty-two page worksheet contains explanation of the...\n
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\n\"Substitution\n\n
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\nCurated OER\n
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\nSubstitution Method\n

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\n\nFor Students\n\n11th - 12th\n
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\nIn this calculus worksheet, students solve the function using the derivatives. They use properties of derivative and trigonometry to help them find the trig values. There are 28 problems.\n
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\n\"Integrals\n\n
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\nCurated OER\n
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\nIntegrals with odd powers of secant and tangent\n

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\n\nFor Teachers\n\n12th\n
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\nTwelfth graders solve equations containing powers of sec and tan. In this caclculus lesson, 12th graders integrate integrals that have odd powers of trig functions. They use trig substitution to solve these problems.\n
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\n\"The\n\n
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\nThe Substitution Review Problems\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this college level calculus worksheet, students use trigonometric substitution to evaluate the given integrals.  The one page worksheet contains eight problems.  Answers are not included. \n
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\n\"Review\n\n
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\nReview for Test on sections 6.2-6.3\n

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\nTwelfth graders review integration techniques to get ready for their test. In this calculus lesson, 12th graders review integrals, trig substitution, integration by parts, trapezoidal rules and simpson's rule in preparation for a test....\n
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\n\nGet Free Access\n\nSee Review\n
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\n\"Review\n\n
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\nCurated OER\n
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\nReview of Techniques of Integration\n

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\n\nFor Teachers\n\n12th\n
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\nTwelfth graders review techniques of integration. In this calculus lesson plan, 12th graders review integration by parts, integrals with powers, trig substitution, and simpson's rule for a chapter 8 test. They review with a right angle...\n
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\n\"Test\n\n
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\nCurated OER\n
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\nTest on Chapter 8\n

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\n\nFor Teachers\n\n12th\n
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\nTwelfth graders review integration techniques to get ready for their test. In this calculus lesson, 12th graders review integrals, trig substitution, integration by parts, trapezoidal rules and simpson's rule in preparation for a test....\n
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Lesson Plan
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\n\"Identities\n\n
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\nCurated OER\n
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\nIdentities and Trigonometric Values\n

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\n\nFor Teachers\n\n9th - 11th\n
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\nStudents solve trigonometric equations. In this precalculus instructional activity, students prove trigonometric identities using the Pythagorean Theorem. They apply the addition formulas for sine and cosine to prove different identities.\n
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\n\"TI-89\n\n
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\nCurated OER\n
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\nTI-89 Activities for PreCalculus and AP Calculus\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nUsing the TI-89 calculator, high schoolers explore the statistical, graphical and symbolic capabilities of the TI-89.  Students investigate topics such as solving systems of equations, finding inverse functions, summations,...\n
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\nThe Exact Differential\n

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\n\nFor Teachers\n\n11th - 12th\n
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\nStudents integrate functions using u substitution.  In this integrating functions using u substitution lesson, students integrate functions by setting part of the function equal to u and the other part equal to du.  Students...\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: Calculus: Integrals: Trig Substitution 2\n

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\n\nFor Students\n\n9th - 10th\n
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\nVideo lesson solving an indefinite integral by substituting a trigonometric identity. Includes the derivation of the trigonometric identity used. [8:11]\n
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Instructional Video
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\nKhan Academy\n
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\nKhan Academy: Calculus: Integrals: Trig Substitution 3 (Long Problem)\n

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\n\nFor Students\n\n9th - 10th\n
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\nVideo lesson solving an indefinite integral by substituting trigonometric identities. Part of the solution involves completing the square. [17:52]\n
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\n\nGet Free Access\n\nSee Review\n
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