# Differential Equations Teacher Resources

Find Differential Equations lesson plans and worksheets

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#### Newton's Law of Cooling, Data Analysis, and Differential Equations

Students calculate the length of time to cool a hot drink. In this data analysis and differential equations lesson, students use a TI-89 or TI-92 calculator to find the length of time for a hot drink to cool to room temperature. Readings...

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#### An Introduction to Solving Differential Equations

Twelfth graders investigate differential equations. In this calculus activity, 12th graders are presented with a step-by-step illustrated review of the process used in solving differential equations and an application problem. Students...

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#### Solving Differential Equations

Twelfth graders explore differential equations. In this calculus lesson plan, 12th graders solve differential equations graphically, numerically and analytically.

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#### Differential Equations on the TI-92 PLUS

Students identify and familiarize themself with the features and capabilities of the TI-92 Plus calculator. They also find symbolic solutions of differential
equations and general solutions or to find particular solutions of...

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#### Calculus AB/BC - General Solutions Using Separation of Variables

New ReviewViewers to learn how to solve a differential equation written implicitly. Pupils find out that they must first separate the variables to take the integral of each side before solving for y to arrive at a general solution for the...

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#### Calculus Volume 2

Delve into the middle of calculus. The resource is the second eBook of three that covers the complete calculus content. Seven chapters begin with integrals and different methods of integration before moving on to differential equations....

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#### 2003 AP® Calculus AB Free-Response Questions

Take a free look. Released free-response questions from the 2003 AP® Calculus AB exam show how questions cover different topics. Pupils and teachers review the topics of bounded regions, particle movement, rates, relationships between...

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#### 2005 AP® Calculus AB Free-Response Questions Form B

Grab a peak inside the test. The 2005 free-response questions from the AP® Calculus exam allow learners to see how topics appear on the tests. Topics cover differential equations, bounded areas, particle motion, and slopes of tangent lines.

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#### Calculus AB/BC - Exploring Behaviors of Implicit Relations

Put everything together implicitly. Pupils use their knowledge of implicit differentiation to determine whether a curve is increasing or decreasing or its concavity. Given a differential equation, scholars determine whether a specific...

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#### 2010 AP® Calculus AB Free-Response Questions Form B

Most say that practice makes perfect. Scholars use the released free-response questions to practice for the AP® Calculus AB exam. Each question comes with several parts and either do or do not allow calculators. Items include topics such...

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#### 2003 AP® Calculus AB Free-Response Questions Form B

Get a better grasp of the intended content. The six free-response questions provide insight into the purpose of the AP® Calculus content. Two questions have real-world context while the remaining are void of context. The items range from...

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#### 2012 AP® Calculus BC Free-Response Questions

Get better prepared. Individuals use the six released AP® Calculus BC free-response questions to practice for the actual exam. The questions contain two calculator items and four non-calculator items. Topics include particle movement,...

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#### 2007 AP® Calculus AB Free-Response Questions Form B

What do the questions look like? Six free-response questions provide pupils with knowledge of how calculus topics appear on the AP® Calculus exam. The questions involve calculator and non-calculator problems by providing mathematical and...

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#### Approximation

Sometimes close enough is appropriate. A curriculum document for AP® Calculus examines the importance of providing approximation questions throughout the course. It looks at approximating derivative values, approximating definite...

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#### 2010 AP® Calculus BC Free-Response Questions

What do a zoo, snow, and a moving particle have in common? The six free-response items from the 2010 AP® Calculus BC exam allow teachers and pupils see how items may show up in context. Three of the questions are from only the BC portion...

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#### Calculus AB/BC - Particular Solutions using Initial Conditions and Separation of Variables

New ReviewTake the next step in separating. Pupils pick up from the previous lesson to now find the particular solution of a differential equation at a given point. Scholars watch three examples of finding the particular solution and hear the...

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#### Worksheet 1

In this math worksheet, pupils describe the difference between a partial and an ordinary differential equation. They give examples of 1st, 2nd, and 3rd order differential equations. Students apply this information to predator/prey...

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#### Recovering a Function from its Derivative: A Graphical Approach

Learners follow detailed instructions for using their TI-86 graphing calculator to find solutions to differential equations. In this lesson, students learn to use their graphing calculator to solve 12 differential equations.

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#### Slope Fields and Euler's Method for AP Calculus

Twelfth graders investigate slope fields and Euler’s Method. In this calculus lesson, 12th graders explore the steps for programming slope fields on the TI-83 and Euler’s method for achieving a numerical solution to differential...

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#### Sturm Liouville Theory

In this Sturm Liouville Theory activity, students solve one multi-step problem that transforms the original differential equation into the Sturm-Liouville form. First, they apply the ideas expressed for each equation given in...

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#### Variational Calculus 3

In this methods of applied mathematics learning exercise, students solve 5 various types of problems that relate to variational calculus equations. First, they determine a second order differential equation for the geodesic. Then,...

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#### Population: Logistically Speaking

In this population worksheet, students read word problems relating to population growth. They write the problem as a differential equation, create models and graphs of the solution. This three-page worksheet contains 10 multi-step...

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#### Variational Calculus 1

In this methods of applied mathematics worksheet, students solve 4 different problems that relate to variational calculus. First, they determine a second order differential equation for the function y(x) for which the function given...

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#### Calculus Test

In this calculus worksheet, students integrate various functions, find the sum of a series, and solve differential equations. There are 16 questions including multiple choice and free response.