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\n\n73\nItems in Unit\n\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\n38\nItems in Topic\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\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\n38\nItems in Assessment Set\n\n
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\n\"Balanced\n\n
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\nLesson Planet Curated\n
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\nBalanced Assessment: Advanced High School Math Packet\n

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\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
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\nNineteen resources make up the Balanced Assessment: Advanced High School Math Packet designed to test learners' knowledge in Algebra II, Geometry, and Pre-Calculus classes. To demonstrate their understanding of concepts related to these...\n
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\nModule 6: Trigonometric Functions\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nCreate trigonometric functions from circles. The first lesson of the module begins by finding coordinates along a circular path created by a Ferris Wheel. As the lessons progress, pupils graph trigonometric functions and relate them to...\n
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\n\nGet Free Access\n\nSee Review\n
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Instructional Video4:37
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\n\"Trigonometric\n\n
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\nTrigonometric Integrals\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nPresent examples of trigonometric integrals with a video that shows an example of determining a trigonometric integral. The AP Calculus example shows that many of the trigonometric integrals require manipulation and using trigonometric...\n
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Interactive
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\n\"Integration\n\n
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\nCurated OER\n
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\nIntegration of Trigonometric Integrals\n

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\n\nFor Students\n\n9th - 10th\n
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\nIn this trigonometry worksheet, students use integration to solve for the six different trigonometric identities. They use indefinite integrals to solve problems. There are 27 questions with an answer key.\n
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\n\nGet Free Access\n\nSee Review\n
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Instructional Video2:54
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\n\"Solving\n\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 Video
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\n\"Fundamental\n\n
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\nKrista King Math\n
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\nFundamental Theorem of Calculus Part 2\n

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\nUse the Fundamental Theorem, not just look at it. Learners watch as the video walks viewers through finding the definite integral of a trigonometric function. The presenter provides helpful suggestions as she evaluates the example...\n
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Worksheet
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\n\"Trig\n\n
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\nCurated OER\n
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\nTrig Integration Review\n

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\n\nFor Students\n\n9th - 12th\n
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\nIn this trigonometric functions worksheet, students find the integral of 8 trigonometric functions.  Students use trig properties to integrate each problem.\n
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Unit Plan
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\nMathematics Vision Project\n
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\nModule 7: Modeling with Functions\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nThe sky's the limit of what you create when combining functions! The module begins with a review of transformations of parent functions and then moves to combining different function types using addition, subtraction, and...\n
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Worksheet
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\n\"The\n\n
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\nThe Inverse Trigonometric Functions\n

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\nIn this Calculus worksheet, 12th graders determine the derivative of inverse trigonometric functions and determine integrals.  The one page worksheet contains seven problems.  Answers and solutions are provided. \n
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\n\"Function\n\n
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\nShodor Education Foundation\n
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\nFunction Flyer\n

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\n\nFor Students\n\n8th - 12th\n\nStandards\n
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\nFly through graphing functions with the Function Flyer. Young mathematicians use an interactive to graph different types of functions. A set of exploration questions has users investigate patterns in functions.\n
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Instructional Video17:34
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\n\"Derivative\n\n
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\nDerivative Formulas Through Geometry | Essence of Calculus, Chapter 3\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nGeometry to the rescue. By watching a video, scholars see how geometric concepts help explain derivative formulas: areas of rectangles and volumes of rectangular prisms for the Power Rule and similarity and trig ratios for the Sine Rule.\n
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\nGraphing Exponential Functions\n

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\n\nFor Teachers\n\n8th - 10th\n\nStandards\n
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\nOnce you know how to graph y = b^x, the sky's the limit. Young mathematicians learn to graph basic exponential functions and identify key features, and then graph functions of the form f(x) = ab^(x – h) + k from the function f(x) = b^x.\n
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\n\"Powers\n\n
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\nPowers of Trig Functions\n

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\n\nFor Teachers\n\n10th - 11th\n
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\nIn this trigonometric worksheet, students solve integrals by substitution and the Pythagorean theorem. Students use their trigonometric functions to solve problems. This four-page worksheet contains 20 problems.\n
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Instructional Video8:48
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\n\"Volumes\n\n
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\nVolumes by Slicing\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nFind the volume of a rotational solid by integrating the area of a slice. The AP Calculus resource works through an example of finding the volume of a solid created by rotating a function about the x-axis. The presentation breaks the...\n
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Unit Plan
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\n\"Similarity\n\n
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\nSimilarity and Right Triangle Trigonometry\n

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\n\nFor Teachers\n\n10th - 12th\n\nStandards\n
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\nStarting with similar triangles and dilation factors, this unit quickly and thoroughly progresses into the world of right triangle features and trigonometric relationships. Presented in easy-to-attack modules with copious application...\n
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Lesson Plan
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\n\"Inverse\n\n
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\nInverse Trigonometric Functions (Review)\n

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\n\nFor Teachers\n\n11th - Higher Ed\n
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\nStudents discuss the importance of inverse functions and derivatives. In this calculus lesson, students analyze inverse trig functions by solving for missing angles. They graph the functions and discuss integration by parts.\n
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\n\"Integrals\n\n
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\nCurated OER\n
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\nIntegrals Involving Trig. Functions\n

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\n\nFor Students\n\n12th - Higher Ed\n
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\nIn this calculus worksheet, student evaluate twenty-one integrals.  This worksheet is designed as a test with multiple-choice as well as free response problems. \n
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\nReview Integration\n

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\n\nFor Students\n\n11th - 12th\n
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\nIn this integration worksheet, students integrate 16 functions. Students take the integral of functions using partial fractions and uv substitution.\n
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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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Worksheet
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\n\"Integration\n\n
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\nIntegration of Functions\n

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\n\nFor Students\n\n10th - 12th\n
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\nIn this calculus worksheet, students integrate given functions following the integration rules. They simplify their answers with trig. values. There are 8 questions with an answer key.\n
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Worksheet
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\n\"Even\n\n
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\nEven More Calculus\n

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\n\nFor Students\n\n12th\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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Worksheet
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\n\"Twenty\n\n
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\nTwenty Various Multiple Choice and Free-response Indefinite Integrals\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIn this integrals worksheet, students integrate various indefinite integrals in six multiple choice and fourteen  free response problems.  These problems include: trigonometric functions, u substitutions, and Ln.\n
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