# Differential Equations Teacher Resources

Find Differential Equations lesson plans and worksheets

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#### Review for Test on Derivatives.

Learners review derivatives and equations for their test. In this calculus lesson, students review average rate, parametric equations, tangent line to a curve and value of a derivative to prepare and show mastery on a chapter test. They...

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#### Slope Fields

Twelfth graders define and sketch slope fields. For this calculus lesson, 12th graders investigate solving differential equations through slope field graphs and algebraic equations. They use slope fields to check their work for the right...

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#### Mini Exam on Calculus

For this calculus worksheet, students differentiate equations and calculate rate of change. They find the area and volume under a curve. There are 18 questions on this test.

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#### Integrals

In this integrals activity, students solve and complete 22 different types of problems. First, they evaluate each of the listed integrals provided on the sheet. Then, students solve each of the differential equations. They also graph a...

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#### Differential Equations and Population Growth

Students determine the size of the population at a given time. They calculate the time at which the population will be a given number. They observe how the population grows at the rate that is directly proportional to the number of...

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#### Introduction to Slope Fields

Students plot slope fields. In this introduction to slope fields lesson, students plot 12 slope fields for given differential equations.

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#### Euler's Method

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.

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#### Worksheet on Power Series

In this function activity, students identify the interval of convergence and write differential equations. This two-page activity contains five multi-step questions.

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#### Slope Field Solutions

In this slope field worksheet, students draw possible solution curves to a differential equation. Three problems are provided on this on-page worksheet.

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#### Slope Fields

In this slope field worksheet, students match the slope field to its correct differential equation. This one-page worksheet contains six problems.

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#### Population Models and Qualitative Analysis

In this quantitative analysis worksheet, students explore the limits of a rate equation. They use quantitative analysis methods to determine the differential, plot graphs of their values, and describe the relationships between the...

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#### Worksheet 16-Fall 1995

In this math worksheet, students compute the quotient of two differential amounts. They compute the trigonometric functions of a given variable. Students compute the derivatives of three functions.

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#### Differentials

Learners investigate Differential equations using derivatives. In this calculus lesson, students solve problems of differential equations by taking the derivative and explaining the changes that occurred in the equation and circle. They...

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#### Roller Coaster Robot

Students calculate the area under a curve. In this calculus activity, students use Riemann sums to find and approximate the area under a curve. They use the derivative and differential equations to solve.

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#### Challenge Discussion Sheet 9

In this limits worksheet, students evaluate five limits using limit definitions. They solve differential equations by isolating one variable. Students determine the dimensions of a rectangle inscribed below the graph of a curve.

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#### Worksheet 6

In this math worksheet, students solve the differential equations. They also investigate Newton's Law of Cooling. Then they consider the temperature of different substances like coffee.

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#### Using Linear Algebra to Solve Systems of ODE's

In this math learning exercise, students examine the coupled differential equations. Then they find the eigenvalues and eigenvectors for the 2x2 matrix.

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#### A.P. Calculus Exam Prep

For this A.P. Calculus exam practice test, students answer 28 multiple choice questions. Questions cover a wide variety of topics. Students tell the position of a particle moving along a horizontal line. They identify the solution to a...

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#### #3 Differential Calculus

Students create models of the Mean Value Theorem. In this Mean Value lesson, students use their knowledge of derivatives and exponential functions to explore the Mean Value Theorem. They illustrate the meaning of the throrem, create...

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#### Wind, Pressure, Force, Calculus and Engineering Connections

Twelfth graders solve first order differential equations using the separation of variables technique. In this calculus lesson plan, 12th graders explain the connection between math and engineering. They brainstorm what engineers do in...

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#### Calculus Test

In this calculus worksheet, students assess their understanding and knowledge of limits, derivatives, differential equations, and other calculus topics. The one page worksheet contains twenty-eight multiple choice questions. Answers...

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#### The Product and Quotient Rules

In this product and quotient rules worksheet, students use Taylor's Theorem to rewrite functions in a given form. They determine the derivatives of functions. This three-page worksheet contains explanations, examples, and seven problems.

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#### Challenge Discussion Sheet 8

In this differential instructional activity, students compute the rate a boat is approaching a dock when given the height and length of a rope. They find the rate the angle formed when a rocket is launched at given distances above the...

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#### Worksheet 8: Rate, Differentials

In this rate learning exercise, students read story problems, determine the necessary information, and solve the rate problem. They use differentials to estimate the value of a function at a given point and integrate functions. This...