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\n\"Exploration\n\n
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\nCurated OER\n
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\nExploration 4: Definite Integrals by Trapezoidal Rule\n

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\n\nFor Students\n\n10th - 12th\n
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\nIn this integral worksheet, students geometrically estimate distance in given problems. They use the trapezoidal rule to determine definite integrals. Students explore distance and velocity. This three-page worksheet contains...\n
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\n\"Trapezoid\n\n
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\nTrapezoid Rule, Simpson's Rule, Midpoint Rule\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIn this math worksheet, students practice using the rules of Trapezoid, Simpson, and Midpoint. Then they practice using the rules and justify the solutions.\n
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\n\"Basic\n\n
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\nCurated OER\n
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\nBasic Calculus II: Numerical Integration\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this numerical integration worksheet, students approximate the value of an integral using the methods taught in the class. They use left-hand Riemann sums, right-hand Riemann sums, the midpoint method and the trapezoidal rule.\n
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Activity
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\n\"Collecting\n\n
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\nHouston Area Calculus Teachers\n
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\nCollecting Driving Data\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nGive AP Calculus classes the opportunity to check the accuracy of their calculations! A calculus activity involves the collection of data, the application of mathematics, and the analysis of the accuracy of results. Young mathematicians...\n
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Lesson Plan
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\n\"Graphs\n\n
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\nCurated OER\n
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\nGraphs and Data\n

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\n\nFor Teachers\n\n7th - 10th\n
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\nPupils investigate poverty using graphs. In this algebra lesson, students collect data on the effects of poverty and use different rules to analyze the data. They graph and use the trapezoid rule to interpret the data.\n
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Lesson Plan
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\n\"Area\n\n
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\nCurated OER\n
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\nArea Under A Curve\n

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\n\nFor Teachers\n\n9th - 11th\n
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\nCalculus students use the derivative and integral to solve problems involving areas. They calculate the area under a curve as they follow a robot off road making different curves along the drive, using Riemann Sums and...\n
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\n\"Numerical\n\n
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\nCurated OER\n
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\nNumerical Methods of Integration\n

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\n\nFor Teachers\n\n11th - 12th\n
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\nStudents review Riemann Sums with rectangles, used to approximate the area under a curve. They listen as the teacher introduces the Trapezoidal Rule to approximate the area under a curve. Students use Simpson's Rule to find the area...\n
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Lesson Plan
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\n\"Review\n\n
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\nCurated OER\n
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\nReview for Test on sections 6.2-6.3\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\"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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Worksheet
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\n\"Integrals\n\n
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\nCurated OER\n
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\nIntegrals\n

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\n\nFor Students\n\n11th - 12th\n
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\nIn this Calculus worksheet, students evaluate problems with integrals that require the use of the trapezoidal rule, Simpson’s rule and decomposition into partial rations.  The two page worksheet contains sixteen problems. ...\n
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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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\nIn this calculus worksheet, students 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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\n\"Estimating\n\n
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\nCurated OER\n
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\nEstimating he Value of a Definite Integral\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this definite integral worksheet, students solve three integrals for a defined value. They use the midpoint, trapezoidal, and Simpson's rules each one time to estimate the value of a definite integral.\n
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\n\"AP\n\n
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\nAP Calculus Practice Exam\n

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\n\nFor Students\n\n11th - 12th\n
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\nIn this practice exam worksheet, students solve 17 multiple choice problems. Students find derivatives, points of continuity, maximums, minimums, integrals, and area of enclosed regions.\n
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\n\"AP\n\n
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\nAP Calculus Practice Exam\n

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\n\nFor Students\n\n12th - Higher Ed\n
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\nIn this calculus worksheet, students calculate the derivative, find the invertible given the derivative and review basic concepts for their AP calculus exam. There are 17 questions.\n
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\n\"AP\n\n
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\nAP Calculus Practice Exam BC Version: Part B\n

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\n\nFor Students\n\n11th - 12th\n
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\nIn this calculus worksheet, students solve 17 multiple choice problems. Students find limits, summations, and derivatives of functions. Students find the area of an enclosed region between two curves.\n
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\n\"Numerical\n\n
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\nCurated OER\n
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\nNumerical Integration\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIn this math worksheet, students practice using the number approximations to apply them to the integrations. They compare the numerical methods and graph the results in the data table.\n
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Worksheet
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\n\"Seventeen\n\n
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\nCurated OER\n
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\nSeventeen Various Integral Problems\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIn this integrals activity, learners solve seventeen integral problems.  One problem covers completing the square, one curve length, one partial fraction decomposition, one Simpson's rule, and several are trigonometric integrals.\n
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\n\"A.P.\n\n
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\nA.P. Calculus Practice Exam AB Version- Section I- Part B\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIn this A. P. Calculus AB instructional activity, students solve seventeen multiple-choice problems with a graphing calculator.  This instructional activity is designed as a practice test for the A.P. Exam and should be timed.\n
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\n\"AP\n\n
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\nCurated OER\n
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\nAP Calculus Practice Exam\n

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\n\nFor Students\n\n11th - 12th\n
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\nIn this Calculus learning exercise, students are provided with practice problems for their exam.  Topics covered include derivatives, area bounded by a curve, local maximum, instantaneous rate of change, and the volume of a solid of...\n
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\n\"AP\n\n
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\nCurated OER\n
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\nAP Calculus Practice Exam\n

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\n\nFor Students\n\n11th - 12th\n
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\nIn this Calculus activity, students are provided with questions that are reflective of the content of their exam.  Topics covered include derivatives, volume of a solid of rotation, local maximum and minimum, and integration. ...\n
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\n\"AP\n\n
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\nAP Calculus Practice Exam\n

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\n\nFor Students\n\n12th\n
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\nIn this Calculus worksheet, 12th graders are provided with practice problems for their exam.  Topics covered include limits, derivatives, area bounded by a curve, minimization of cost, and the volume of a solid of revolution. ...\n
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\n\"Seventeen\n\n
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\nSeventeen Multiple Choice Calculator AP Calculus BC Practice Test\n

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\n\nFor Students\n\n12th - Higher Ed\n
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\nIn this AP Calculus BC activity, students answer seventeen multiple choice questions with the use of a calculator.  The questions are a fifty minutes times practice test for the AP exam.\n
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Worksheet
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\n\"AP\n\n
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\nCurated OER\n
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\nAP Calculus Practice Exam BC Version- Section I -Part B\n

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\n\nFor Students\n\n12th - Higher Ed\n
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\nIn this AP Calculus Practice Exam learning exercise, learners solve seventeen multiple-choice questions using a graphing calculator.  This BC practice test is designed to be finished in fifty minutes.\n
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\n\"A.P.\n\n
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\nCurated OER\n
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\nA.P. Calculus Practice Exam BC Version Section I Part B\n

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\n\nFor Students\n\n12th - Higher Ed\n
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\nIn this AP Calculus practice test worksheet, students prepare for the BC version on the test by solving seventeen multiple-choice questions using a calculator.  The test should be timed and 50 minutes in length.\n
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