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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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\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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\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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Interactive
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\n\"Properties\n\n
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\nCK-12 Foundation\n
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\nProperties of Definite Integrals\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nClose your eyes and visualize a definite integral. An interactive provides a visualization of a function and definite integral on a closed interval. Pupils move one point of the interval in either the positive or negative direction....\n
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\nWorksheet 30 - Definite Integrals\n

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\n\nFor Teachers\n\nHigher Ed\n
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\nIn this integral worksheet, students find the volume of solids, compute definite integrals, and identify the limit of the terms. This one-page worksheet contains 7 multi-step problems.\n
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\nWorksheet One - Definite Integral\n

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\n\nFor Teachers\n\nHigher Ed\n
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\nIn this definite integral worksheet, students use substitution to simplify integrals. They find the values of the upper and lower points and interpret points found on a graph. Students solve this two-page worksheet.\n
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Instructional Video7:55
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\nProperties of the Definite Integral\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nWhat are the properties that can be associated with the definite integral? The AP Calculus video lists nine properties of the definite integral and provides explanations of why the properties hold for integrals in language that is...\n
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Instructional Video9:18
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\n\"U-Substitution\n\n
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\nU-Substitution in Definite Integrals\n

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\nThe process definitely works two ways. Viewers watch as the video shows how to use u-substitution to evaluate a definite integral. The presenter uses two different methods to evaluate the integral. One method substitutes the expression...\n
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AP Test Prep16:40
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\nCalculus AB/BC - The Fundamental Theorem of Calculus and Definite Integrals\n

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\nLearning about definite integrals is fundamental to any calculus course. The eighth of 16 parts in Unit 6 - Integration focuses on the Fundamental Theorem of Calculus. Scholars first see how to find antiderivatives, then discover how to...\n
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AP Test Prep15:39
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\nCalculus AB/BC - Applying Properties of Definite Integral\n

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\n\nFor Students\n\n10th - 12th\n
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\nProperly apply the properties of integrals. By watching a video, scholars learn about the properties of definite integrals. They see how to use the area under a curve and the properties to determine the value of a given definite integral. \n
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\nSudoku Puzzle: Definite Integrals\n

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\nIn this Sudoku activity, students first solve 36 definite integral problems and then place them into the puzzle.  The remainder of the Sudoku is left to solve.\n
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\n\"Definite\n\n
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\nDefinite Integral\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nLearners investigate the intervals represented by a function in this calculus activity. They decide what interval of the function will be positive, negative or zero. They are then given graphs of functions and asked to analyze it.\n
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\nApplications of Definite Integrals\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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\nWorksheet 29 - Integrals\n

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\nIn this integral worksheet, students evaluate definite integrals and sketch regions of integration. This one-page worksheet contains 10 multi-step problems.\n
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Worksheet
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\nNine Definite Integrals and Fundamental Theorem Of Calculus Problems\n

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\nIn this definite integral learning exercise, student find the value of five definite integrals.  Student then explain why a definite integral inequality holds true.  Finally, students are given the graph of a functions and...\n
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Worksheet
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\nProperties of the Definite Integral\n

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\nIn this definite integral worksheet, students explore the relationship between integrals and examine the properties of the definite integral. This two-page worksheet contains six problems.\n
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\nProperties of the Definite Integrals\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIn this math learning exercise, students investigate the properties of definite integrals. Then they apply the properties and compare sets of two integrals to each other.\n
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\nConnecting Riemann Sums to the Definite Integrals\n

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\nIn this math activity, students examine the relationships between Riemann sums and definite integrals. They define the Riemann sums and find area using them.\n
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Instructional Video5:55
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\nProperties of integrals\n

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\nUse properties properly to evaluate a definite integral. Pupils watch an informative video to see how three different properties of integrals help with the evaluation of a definite integral. The presenter uses the properties to separate...\n
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Instructional Video
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\n\"Fundamental\n\n
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\nFundamental Theorem of Calculus Part 2\n

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\n\nFor Students\n\n11th - Higher Ed\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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Instructional Video1:47
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\nThe Second Fundamental Theorem of Calculus\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nHow many fundamental theorems are there? The Second Fundamental Theorem of Calculus is also known as the second part of the Fundamental Theorem of Calculus. Here's a video that introduces the theorem as the method to...\n
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Interactive
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\nThe Limit Definition of a Definite Integral\n

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\n\nFor Students\n\n11th - 12th\n
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\nIn this calculus worksheet, students calculate the derivative and integral of different functions. They use interval to mark the beginning and end of their calculations. There are 15 questions with an answer key.\n
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Lesson Plan
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\nWorksheet 28 - Definite Integrals\n

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\n\nFor Teachers\n\nHigher Ed\n
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\nIn this integral worksheet, students compute definite integrals, sketch line segments and shade regions for the integrals. This one-page worksheet contains six multi-step problems.\n
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AP Test Prep
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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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