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Euler's Method Introduction
Young mathematicians define and use Euler's method to solve problems in this calculus lesson. Learners visualize graphs and solve differential equations. They create these visuals on the TI calculator.
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Euler's Method
In this calculus worksheet, students answer 14 short-answer questions regarding Euler's Method, rate equations, initial conditions, and slope functions.
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Euler's Method
Learners identify Euler's method of graphing in this calculus activity. They approximate values of a function and check their work using EM. They also differentiate equations at an exact point.
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Practice with Euler's Method
In 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.
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Quiz 2: Euler's Method and Piecewise Linear Functions
In 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.
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Euler's Method and the S-I-R Model of Disease
In 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. ...
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Slope Fields and Euler's Method
In this slope field worksheet, 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 worksheet contains...
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Lab 2: Euler's Method and Riemann's Sums
In this Euler's Method and Riemann's Sum worksheet, 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 determine the...
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Successive Approximations and Euler's Method
In 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...
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Analyzing Solutions Computed Using Euler's Method
In this analyzing solutions activity, 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...
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Successive Approximation and Euler's Method
In 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...
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Euler's Method
In this Euler's method worksheet, 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 worksheet contains...
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A Model for the Spread of Disease
In this model activity, 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 activity contains...
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Euler Encore 1
In 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...
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A Refined Cooling Model
In this cooling model worksheet, students approximate solutions using Euler's method. They approximate piecewise linear equations. This six-page worksheet contains approximately 15 problems.
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Rate Equation
In 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...
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Variables and Slopes
In this variable and slopes worksheet, students practice a warm-up activity involving variables V and X and using Euler's Method to solve a value problem.
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Introduction to Mathematical Modeling
In 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.
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Newton's Law of Cooling
In 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...
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Homework 7: Hares and Foxes (Based on a problem in Cic)
In 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...
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Interest and the Number “e”
Make 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,...
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Review of Limits
In this limit worksheet, 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 four-page...
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Implicit Differentiation
In 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.
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Reviewing the First Unit
In 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...