{"results":"
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\nLesson Planet Curated\n
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\nAP Calculus AB Unit 7: Differential Equations\n

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\n\nFor Teachers\n\n11th - 12th\n
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\nAs with the other units in the Flipped Classroom Calculus course, the Differential Equations Unit follows the College Board’s course and exam description. Topics are introduced with an instructional video demonstrating how to approach...\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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Interactive
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\n\"Differential\n\n
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\nCK-12 Foundation\n
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\nDifferential Equations Representing Growth and Decay: Rice Legend\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nThe legend of a wise man who asks a king for rice as a reward presents a context to study exponential solutions to differential equations. Pupils move quantities of rice to a chessboard and calculate the amount of rice for each day. To...\n
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AP Test Prep16:31
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\n\"Calculus\n\n
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\nFlipped Math\n
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\nCalculus AB/BC - Exponential Models with Differential Equations\n

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\n\nFor Students\n\n10th - 12th\n
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\nExponential models come with a shortcut. Pupils watch an example of how to determine if a differential equation is an exponential model. Learners realize the solution is in the same formula, allowing for a quick way to determine the...\n
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Worksheet
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\n\"Differential\n\n
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\nCurated OER\n
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\nDifferential Equations\n

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\n\nFor Students\n\n12th - Higher Ed\n
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\nIn this differential equations instructional activity, students solve and complete 3 different parts of a problem. First, they sketch a slope field for the given differential equation on the axes provided. Then, students write an...\n
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Instructional Video6:50
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\n\"Differential\n\n
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\nEducator.com\n
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\nDifferential Equations and Initial Value Problems\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nDemonstrate working an initial value problem with an AP Calculus video that verifies that a family of functions is a solution to a differential equation by substitution. The presentation goes on to find a particular solution that...\n
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AP Test Prep14:45
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\n\"Calculus\n\n
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\nFlipped Math\n
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\nCalculus AB/BC - Verifying Solutions for Differential Equations\n

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\n\nFor Students\n\n10th - 12th\n
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\nFind out if it is truly the solution. An informative presentation provides viewers with multiple examples of finding the particular solution to a differential equation. Learners find out how to verify the solution by differentiating the...\n
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AP Test Prep
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\n\"Calculus\n\n
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\nCalculus AB/BC - Unit 7 Review: Differential Equations\n

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\nDifferentiate everyone's knowledge. Pupils work through nine review questions to highlight key concepts from Unit 7. Items range from finding slope fields and reasoning with them to finding general and particular solutions of...\n
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AP Test Prep7:06
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\n\"Calculus\n\n
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\nFlipped Math\n
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\nCalculus AB/BC - Modeling Situations with Differential Equations\n

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\nDifferentiate between models. Pupils watch as the video works through three examples of creating a differential equation to model a situation. Scholars use their knowledge of proportional relationships to set up the equations and to...\n
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Lesson Plan
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\nThe Spread of Disease with Differential Equations\n

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\n\nFor Teachers\n\n12th\n
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\nTwelfth graders solve problems using differential equations.  In this Calculus lesson, 12th graders analyze data regarding the spread of a flu virus.  Students use the symbolic capacity of the TI-89 to develop a model and...\n
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Lesson Plan
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\n\"Logistic\n\n
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\nTexas Instruments\n
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\nLogistic Growth, Differential Equations, Slope Fields\n

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\nInvestigate differential equations with your class. They use the TI-89 to explore differential equations analytically, graphically, and numerically as the examine the relationships between each of the three approaches.\n
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Worksheet
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\n\"Linear\n\n
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\nLinear Systems: Applications of Linear Algebra to Differential Equations\n

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\n\nFor Students\n\n12th - Higher Ed\n
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\nIn this differential equations worksheet, students solve systems of simultaneous differential equations using linear algebra. This six-page worksheet contains approximately six problems, with explanations and examples.\n
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\n\"Coffee:\n\n
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\nCurated OER\n
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\nCoffee: Differential Equation\n

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\n\nFor Teachers\n\nHigher Ed\n
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\nIn this differential worksheet, students read a word problem and write a differential equation and solve it. They draw the slope field for given problems. This two-page worksheet contains 9 multi-step problems.\n
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Worksheet
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\n\"Differential\n\n
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\nCurated OER\n
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\nDifferential Equations\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIn this differential equations learning exercise, students solve and complete 3 sets of various problems. First, they solve each of the differential equations. Then, students use the given information to evaluate the constant of...\n
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Worksheet
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\n\"First-Order\n\n
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\nCurated OER\n
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\nFirst-Order Differential Equations and Vector-Matrix Systems\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nFor this differential equation worksheet, students answer seventeen problems related to first-order differential equations, vectors, systems of equations, and vector-matrix form of systems of equations.\n
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Worksheet
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\n\"Linear\n\n
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\nLinear Systems: Differential Equations\n

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\nFor this differential equations worksheet, students solve collections of simultaneous differential equations. This six-page worksheet contains examples, explanations, and approximately six problems.\n
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Worksheet
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\n\"Differential\n\n
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\nCurated OER\n
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\nDifferential Equation\n

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\nIn this differential worksheet, students answer three essay questions. They are presented a problem about the height of a tree being a function of the base diameter. Students write the equation for the differential equation, solve the...\n
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Worksheet
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\n\"Linear\n\n
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\nLinear Systems: Differential Equations\n

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\nIn this differential equations worksheet, students determine the stability of matrices and evaluate a matrix with an exponent. This two-page worksheet contains examples, explanations, and two problems to solve.\n
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Worksheet
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\n\"Applying\n\n
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\nCurated OER\n
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\nApplying Linear Algebra to Differential Equations\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIn this math worksheet, students using linear algebra to find the solutions to the differential equations. The equations are listed in systems.\n
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Worksheet
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\n\"Differential\n\n
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\nCurated OER\n
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\nDifferential Equations\n

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\n\nFor Students\n\n12th - Higher Ed\n
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\nIn this differential equation worksheet, students find the derivative of given equations and express their answers as Maclaurin series. This two-page worksheet contains examples and explanations. There are two problems in this worksheet.\n
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Instructional Video5:17
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\n\"Separation\n\n
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\nSeparation of Variables and Initial Value Problem\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nAp Calculus classes learn how to solve a differential equation by getting like variables together with a video that presents an example of how to solve a differential equation by using the method of separation of variables. The...\n
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AP Test Prep13:57
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1
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\n\"Calculus\n\n
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\nFlipped Math\n
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\nCalculus AB/BC - Sketching Slope Fields\n

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\n\nFor Students\n\n10th - 12th\n
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\nFrolic through a field of slopes. Learners watch a video describing slope fields and how to create one. Scholars use given slope fields to determine the equation of a tangent line and the possible differential equation. Pupils continue...\n
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Lesson Plan
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\nWorksheet Two\n

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\n\nFor Teachers\n\nHigher Ed\n
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\nIn this math worksheet, students solve differential equations. Students use similar equations, and analyze ways they differ from one another. Students draw directional fields and sketch solutions. The final three questions are...\n
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AP Test Prep
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\n\"2006\n\n
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\nCollege Board\n
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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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