Lesson Plan
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#### Euler's Method Introduction

For Teachers 9th - 12th Standards
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

For Students 12th - Higher Ed
For this calculus worksheet, students answer 14 short-answer questions regarding Euler's Method, rate equations, initial conditions, and slope functions.
Lesson Plan
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#### Euler's Method

For Teachers 9th - 12th Standards
Learners 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.
Worksheet
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#### Practice with Euler's Method

For Students Higher Ed
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.
Worksheet
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#### Quiz 2: Euler's Method and Piecewise Linear Functions

For Students Higher Ed
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

For Students Higher Ed
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. ...
Worksheet
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#### Slope Fields and Euler's Method

For Students Higher Ed
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...
Worksheet
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#### Lab 2: Euler's Method and Riemann's Sums

For Students Higher Ed
In 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...
Worksheet
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#### Successive Approximations and Euler's Method

For Students Higher Ed
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...
Worksheet
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#### Analyzing Solutions Computed Using Euler's Method

For Students Higher Ed
In 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...
Worksheet
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#### Successive Approximation and Euler's Method

For Students Higher Ed
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...
Worksheet
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#### Euler's Method

For Students Higher Ed
In this Euler's method instructional 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 instructional...
Worksheet
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#### A Model for the Spread of Disease

For Students Higher Ed
In 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...
Lesson Plan
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#### Euler Encore 1

For Teachers 11th - 12th
For 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...
Worksheet
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#### A Refined Cooling Model

For Students Higher Ed
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

For Students 12th - Higher Ed
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...
Worksheet
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#### Variables and Slopes

For Students 7th - 10th
In this variable and slopes worksheet, learners practice a warm-up activity involving variables V and X and using Euler's Method to solve a value problem.
Instructional Video4:38
TED-Ed

#### How the Königsberg Bridge Problem Changed Mathematics

For Students 9th - Higher Ed
There is one bridge too many. A video presents the history of the Konigsberg Bridge problem. To solve the problem, Euler invented a new branch of mathematics—and graph theory was born. Using this new branch of mathematics, mathematicians...
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#### Introduction to Mathematical Modeling

For Students Higher Ed
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

For Students Higher Ed
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...
Worksheet
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#### Homework 7: Hares and Foxes (Based on a problem in Cic)

For Students Higher Ed
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...
Handout
West Contra Costa Unified School District

#### Interest and the Number “e”

For Students 9th - 12th Standards
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,...
Worksheet
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#### Review of Limits

For Students Higher Ed
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...
Worksheet
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#### Implicit Differentiation

For Students Higher Ed
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.