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\n\"AP\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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Instructional Video5:38
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\n\"Approximating\n\n
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\nBrightstorm\n
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\nApproximating Area Using Rectangles\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nFinding area using rectangles—isn't that a little too simplistic for a calculus course? Viewers learn how to approximate area under a curve using rectangles in the first installment of a seven-part video series on the definite integral....\n
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\n\nGet Free Access\n\nSee Review\n
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AP Test Prep15:40
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\n\"Calculus\n\n
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\nFlipped Math\n
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\nCalculus AB/BC - Derivative Rules: Constant, Sum, Difference, and ​Constant Multiple\n

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\n\nFor Students\n\n10th - 12th\n
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\nUse derivatives to find equations of lines. Pupils learn more rules to use as shortcuts to find derivatives. Using the rules, they find the equations of the tangent line and the normal line at a given point. Scholars then apply the new...\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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Worksheet
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\n\"Simpson's\n\n
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\nCurated OER\n
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\nSimpson's Rule\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this Simpson's Rule learning exercise, students use the Fundamental Theorem of Calculus to determine the antiderivatives and evaluate integrals. They find the midpoint of given polygons and sketch the graph of the function. This...\n
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Handout
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\n\"Quick\n\n
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\nDel Mar College\n
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\nQuick Reference Card\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nA neat and organized formula handout makes the circle go round, doesn't it? Full of higher algebra topics, formulas and rules, graphs and definitions—there is a way to support everyone in Algebra II or Pre-Calculus. \n
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Worksheet
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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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Lesson Plan
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\n\"Integration\n\n
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\nCurated OER\n
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\nIntegration Unit: Riemann Sum\n

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\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
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\nStudents investigate Riemann Sums. In this calculus lesson, students solve problems involving Riemann sums and Right Riemann Sums.\n
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Worksheet
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\n\"Derivative\n\n
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\nCurated OER\n
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\nDerivative Formulas\n

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\n\nFor Students\n\n9th - 11th\n
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\nIn this calculus worksheet, students solve functions using the derivative formulas. There are 26 formulas for them to review and go over.\n
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Lesson Plan
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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\n10th - 12th\n
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\nStudents calculate the area under a curve. In this calculus lesson, students estimate and calculate the area of a curve using simpson's rule and the trapazoidal rule. They review rieman sums and add to it.\n
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\n\"Application\n\n
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\nCurated OER\n
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\nApplication of Delta-Epsilon Definition of the Limit\n

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\n\nFor Teachers\n\n12th - Higher Ed\n
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\nStudents create a Hexaflexagon using a formula. For this calculus lesson, students apply the definition of delta epsilon as it relates to limit to create a shape using creases. They relate the same rule to triangles and investigate angles.\n
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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, learners 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\"Sherlock\n\n
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\nCurated OER\n
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\nSherlock Holmes' Real Train Adventure\n

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\n\nFor Students\n\n11th - 12th\n
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\nFor this calculus worksheet, students use the trapezoid and Simpson's rule to calculate the midpoint sum. They use a specific interval to perform their integration. There are 12 questions.\n
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\n\"Indefinite\n\n
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\nWest Contra Costa Unified School District\n
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\nIndefinite Integrals\n

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\n\nFor Teachers\n\n11th - Higher Ed\n\nStandards\n
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\nThe inverse of matter is anti-matter, so the inverse of a derivative is an antiderivative. The lesson introduces antiderivatives and indefinite integrals to the class along with the notation for integrals. Groups work together to find...\n
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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 learners 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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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 worksheet, 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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Worksheet
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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 activity, 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\"Infinite\n\n
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\nCurated OER\n
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\nInfinite Series\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIn this math worksheet, students examine the infinite series. They determine if it diverges or converges. Example 2 and 3 is group work to apply the tests for convergence or divergence.\n
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Instructional Video11:28
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\n\"The\n\n
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\nKrista King Math\n
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\nThe Precise Definition of the Limit Explained!\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIt's all Greek to me. Young mathematicians learn how to use the epsilon-delta definition of a limit with a video that shows how to find the relationship between epsilon and delta for a given limit equation.\n
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\n\"The\n\n
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\nCurated OER\n
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\nThe Right Angle\n

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\n\nFor Students\n\n11th\n
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\nIn this algebra worksheet, 11th graders solve word problems creating a right triangle. Students determine the point and direction this turn of ninety degrees occurs. There are 4 questions with an answer key.\n
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\n\"Arithmetic\n\n
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\nCurated OER\n
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\nArithmetic Complex Numbers\n

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\n\nFor Teachers\n\n10th - 11th\n
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\nYoung scholars convert quadratic functions from standard form to vertex form. In this algebra lesson plan, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor theorem.\n
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Handout
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\n\"Dans\n\n
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\nDans Math: Lessons: Calculus (Part 1)\n

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\n\nFor Students\n\n9th - 10th\n
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\nCollege professor Dan Bach reviews the basic calculus concepts of limits and derivatives. The site includes examples and animated graphs.\n
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\nDans Math: Lessons: Calculus (Part 2)\n

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\n\nFor Students\n\n9th - 10th\n
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\nCollege professor Dan Bach offers a review of the calculus concepts of integrals and vectors. Examples and animated graphs are provided.\n
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Activity
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\n\"Math\n\n
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\nMath Mistakes: Common Calculus Mistakes\n

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\n\nFor Students\n\n9th - 10th\n
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\nLearn from other student's mistakes by reviewing the following Calculus topics: limits, the power rule, derivatives, the sum rule, the product rule, the quotient rule, the chain rule, implicit differentiation, indefinite integrals,...\n
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\n\nGet Free Access\n\nSee Review\n
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