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Lesson Plan
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\n\"Euler's\n\n
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\nEuler's Method Introduction\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nYoung mathematicians define and use Euler's method to solve problems in this calculus instructional activity. Learners visualize graphs and solve differential equations. They create these visuals on the TI calculator.\n
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\n\"Euler's\n\n
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\nEuler's Method\n

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\n\nFor Students\n\n12th - Higher Ed\n
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\nIn this calculus worksheet, students answer 14 short-answer questions regarding Euler's Method, rate equations, initial conditions, and slope functions.\n
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\n Euler's Method\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nLearners identify Euler's method of graphing in this calculus lesson. They approximate values of a function and check their work using EM. They also differentiate equations at an exact point.\n
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\n\"Practice\n\n
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\nCurated OER\n
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\nPractice with Euler's Method\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this Euler's Method worksheet, students determine the rate of change in given functions They use Euler's Method to approximate the solution of an equation. This two-page worksheet contains approximately twenty problems.\n
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\n\"Quiz\n\n
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\nCurated OER\n
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\nQuiz 2: Euler's Method and Piecewise Linear Functions\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this linear function worksheet, students use Euler's method to approximate a solution to an initial value problem. This two-page worksheet contains three multi-step problems.\n
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\n\"Euler's\n\n
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\nEuler's Method and the S-I-R Model of Disease\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this Euler's method worksheet, students determine algebraic expressions for quantities in given terms. Next, they use Euler's Method to identify the information. Lastly, they confirm their calculations through the S-I-R method. ...\n
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\n\"Slope\n\n
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\nCurated OER\n
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\nSlope Fields and Euler's Method\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this slope field instructional activity, students use a slope field for a rate equation. Using Euler's Method, they identify the piecewise linear function approximating the solution of the initial value problem. This four-page...\n
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\n\"Lab\n\n
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\nCurated OER\n
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\nLab 2: Euler's Method and Riemann's Sums\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this Euler's Method and Riemann's Sum instructional activity, students identify the best situation in which to use Euler's Method and Riemann's Sum. They identify the initial value of a problem and use the accumulation formula to...\n
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\n\"Successive\n\n
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\nCurated OER\n
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\nSuccessive Approximations and Euler's Method\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this Euler's method worksheet, students compute the successive approximations for a given function. They compute the piecewise linear function to produce the approximation to the solution of the initial value problem. This four-page...\n
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\n\"Analyzing\n\n
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\nCurated OER\n
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\nAnalyzing Solutions Computed Using Euler's Method\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this analyzing solutions worksheet, students use Euler's Method to estimate the value of given functions. They estimate solutions using the piecewise-linear function model and sketch the information onto a graph. This two-page...\n
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\n\"Successive\n\n
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\nSuccessive Approximation and Euler's Method\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this approximation worksheet, students use the Euler's method to interpret a piecewise linear function. They explore why the approximation produced using a smaller stepsize is a better approximation. This four-page worksheet...\n
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\n\"Euler's\n\n
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\nEuler's Method\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this Euler's method activity, students use Euler's method to determine one-second time intervals in a rate problem. They explore functions to estimate rate changes in small time intervals. This two-page activity contains...\n
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\n\"A\n\n
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\nA Model for the Spread of Disease\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this model worksheet, students explore a real life scenario to determine the rate at which a disease may spread. They use Euler's Method and the SIR model to determine values at a given point in time. This two-page worksheet...\n
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Lesson Plan
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\n\"Euler\n\n
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\nEuler Encore 1\n

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\n\nFor Teachers\n\n11th - 12th\n
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\nIn this math worksheet, students use Euler's Method to solve differential equations. They are given an equation to graph (y'). Students sketch that equation as well as the related equation (y). They find the area of given rectangles and...\n
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\n\"A\n\n
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\nA Refined Cooling Model\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this cooling model worksheet, students approximate solutions using Euler's method. They approximate piecewise linear equations. This six-page worksheet contains approximately 15 problems.\n
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\n\"Rate\n\n
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\nCurated OER\n
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\nRate Equation\n

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\n\nFor Students\n\n12th - Higher Ed\n
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\nIn this rate equation worksheet, students use Euler's method to estimate the value of rate equations. They use the piecewise linear function approximation to determine the solution of an initial value problem. This two-page worksheet...\n
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\n\"Variables\n\n
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\nCurated OER\n
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\nVariables and Slopes\n

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\n\nFor Students\n\n7th - 10th\n
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\nIn this variable and slopes instructional activity, students practice a warm-up activity involving variables V and X and using Euler's Method to solve a value problem.\n
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\n\"Introduction\n\n
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\nCurated OER\n
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\nIntroduction to Mathematical Modeling\n

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\n\nFor Students\n\nHigher Ed\n
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\nFor this mathematical modeling worksheet, students answer two essay questions. They describe Newton's Law of Cooling by describing and constructing a model and answering seven essay questions about the process.\n
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\n\"Newton's\n\n
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\nNewton's Law of Cooling\n

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\nIn this Newton's Law of Cooling worksheet, students complete an essay format write up of a convection model. They write the purpose and assumptions of their lab. Students complete three rate of change problems. They describe a model in...\n
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\n\"Homework\n\n
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\nHomework 7: Hares and Foxes (Based on a problem in Cic)\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this system of equations worksheet, students use systems of equations and Euler's method to calculate the population of hares and foxes. They plot and interpret their results. This one-page worksheet contains three multi-step...\n
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Handout
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\n\"Interest\n\n
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\nWest Contra Costa Unified School District\n
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\nInterest and the Number “e”\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nMake a connection between different types of interest and how they are calculated! This algebra II lesson progresses from simple interest to compound interest to continually compounded interest. Formulas are developed rather than given,...\n
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\n\"Review\n\n
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\nReview of Limits\n

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\nIn this limit learning exercise, students review limits stated as an expression, analyze Euler's method applied to a rate equation, compute the terms of a given sequence, and identify a sequence as a convergence or divergence. this...\n
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\n\"Implicit\n\n
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\nImplicit Differentiation\n

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\nIn this implicit differentiation worksheet, students use the microscope approximation method and Euler's method to approximate values at a given point. This two-page worksheet contains five problems.\n
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\n\"Reviewing\n\n
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\nReviewing the First Unit\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this linear function worksheet, students explain how the linear function relates to direct proportionality. They answer questions dealing with slope fields, rate equations and illustrate Euler's Method. After answering six...\n
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