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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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AP Test Prep17:14
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\n\"Calculus\n\n
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\nFlipped Math\n
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\nCalculus AB/BC - Integrating Functions Using Long Division and Completing the Square\n

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\n\nFor Students\n\n10th - 12th\n
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\nWith just a little work, integrals can become much easier. The 11th of 16 installments in Unit 6 - Integration has viewers watch a video to learn different ways to rewrite an integrand before determining the integral. They use polynomial...\n
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\n\"Applications\n\n
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\nCurated OER\n
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\nApplications of Definite Integrals\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this definite integral worksheet, students explore different types of integrals and determine the length of a curve. This one-page worksheet contains eight multi-step problems.\n
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Worksheet
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\n\"Challenge\n\n
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\nCurated OER\n
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\nChallenge Sheet 3: Average Value of a Function\n

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\n\nFor Students\n\n12th - Higher Ed\n
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\nFor this average value worksheet, students determine the average value of functions, sketch graphs of continuous intervals, evaluate integrals, find the average value of a function and convert limits to a definite integral. This...\n
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Worksheet
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\n\"Calculus\n\n
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\nCurated OER\n
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\nCalculus Practice Test: Velocity, Functions\n

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\n\nFor Students\n\n10th - 11th\n
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\nFor this calculus worksheet, learners observe graphs and identify the limits of the functions listed in the graph. They determine the definite integrals and derivatives. Students use the trapezoid rule to estimate distance. This...\n
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Worksheet
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\n\"Integrating\n\n
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\nCurated OER\n
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\nIntegrating Functions\n

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\n\nFor Students\n\n6th - 8th\n
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\nFor this math worksheet, students find the answers to the functions that includes integration and trigonometry. They use the examples for help with the special functions.\n
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\n\"The\n\n
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\nCurated OER\n
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\nThe Region Between Two Curves\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nLearners find the area of a region between two curves. They integrate functions such as sin(x) and cos(x) on a given interval and find the area bounded by the two functions. Pupils use their TI-89 to aid them in finding the bounded...\n
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Lesson Plan
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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 lesson, students integrate functions using trig substitution. They solve integrals containing sums and differences of squares.\n
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\n\"Integration\n\n
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\nCurated OER\n
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\nIntegration By Parts\n

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\n\nFor Teachers\n\n12th\n
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\nTwelfth graders define integration by parts and solve integrals. In this calculus lesson, 12th graders integrate functions using the product rule. They work example problems with the teacher before doing it on their own.\n
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Worksheet
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\n\"Why\n\n
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\nCurated OER\n
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\nWhy Plus C is important.\n

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\n\nFor Students\n\n10th - 12th\n
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\nIn this calculus worksheet, students solve proofs by taking the derivative and integrating functions. There are 8 problems about integration and an answer key.\n
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Worksheet
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\n\"Lunar\n\n
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\nCurated OER\n
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\nLunar Crater Frequency Distributions\n

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\n\nFor Students\n\n10th - 12th\n
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\nIn this lunar crater frequency activity, students use the power-law function to solve 3 problems related to the number of craters in a given area. They integrate the power-law function to determine their answers.\n
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Lesson Plan
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\n\"The\n\n
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\nCurated OER\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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Worksheet
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\n\"Calc\n\n
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\nCurated OER\n
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\nCalc 3 Review Problems - Function\n

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\n\nFor Students\n\n12th - Higher Ed\n
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\nIn this integral worksheet, students evaluate integrals, integrate functions, find directional derivative of a function, identify the maximum and minimum values of a function, and compute Cartesian coordinates. This two-page worksheet...\n
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Interactive
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\n\"Categorize\n\n
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\nCurated OER\n
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\nCategorize Twelve Integrals\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIn this integral worksheet, students categorize the given twelve integrals to determine which of the four basic integral functions provided each follows.\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 8: Rate, Differentials\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this rate worksheet, students read story problems, determine the necessary information, and solve the rate problem. They use differentials to estimate the value of a function at a given point and integrate functions. This three-page...\n
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Worksheet
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\n\"Complex\n\n
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\nCurated OER\n
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\nComplex Analysis: Contour Integration\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this contour integration worksheet, students integrate formulas, sketch the contour and evaluate the integral. This two-page worksheet contains approximately eight problems.\n
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Lesson Plan
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\n\"Volumes\n\n
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\nCurated OER\n
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\nVolumes of Solids of Revolution (Shell Method)\n

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\n\nFor Teachers\n\n11th - 12th\n
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\nLearners find the volume of solids and disks.  In this finding the volume of solids and disks instructional activity, students find the volume using the washer, disk, and shell method.  Learners integrate functions in terms of...\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 11: Integration\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this integration worksheet, students integrate functions using any method, they compute the exact value of an integral using the trapezoidal method and the Simpson's method. This five-page worksheet contains approximately 45...\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 12: Area of Regions\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this area of regions worksheet, students find the area of regions bounded by graphs. They evaluate integrals for the volume of solids and integrate functions. This three-page worksheet contains approximately 25 problems. This is a...\n
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\n\"The\n\n
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\nCurated OER\n
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\nThe Man Who Mistook His Wife for a Hat\n

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\n\nFor Teachers\n\n9th - 12th\n
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\nFour scenarios of unusual human behaviors are given to your psychology class. Based on their knowledge of brain anatomy and function, they consider what parts of the brain might be affected in order to result in the behaviors. This case...\n
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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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\n\"Taylor\n\n
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\nCurated OER\n
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\nTaylor Seies\n

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\n\nFor Students\n\n12th - Higher Ed\n
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\nIn this calculus worksheet, students find the Taylor series for each function adn give the interval where the series converges. The two page worksheet contains nine questions. Answers are not included.\n
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Lesson Plan
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\n\"Differential\n\n
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\nDifferential Equations and Population Growth\n

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\n\nFor Teachers\n\n9th - 10th\n
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\nStudents determine the size of the population at a given time. They calculate the time at which the population will be a given number. They observe how the population grows at the rate that is directly proportional to the number of...\n
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\n\"Texas\n\n
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\nTexas Instruments\n
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\nTexas Instruments: Accumulation Functions\n

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\n\nFor Teachers\n\n9th - 10th\n
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\nIn this activity, students examine functions defined by a definite integral. They create tables and graphs for integration functions. They understand the foundation of the Fundamental Theorem of Calculus.\n
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