# Differential Equations Teacher Resources

Find Differential Equations lesson plans and worksheets

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#### AP Calculus AB Unit 7: Differential Equations

As with the other units in the Flipped Classroom Calculus course, the Differential Equations Unit follows the College Board’s course and exam description. Topics are introduced with an instructional video demonstrating how to approach...

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#### AP Calculus AB

Prepare high school mathematicians for the AP Calculus AB exam with a collection of 38 videos that can be used to introduce the topics or as a review. The videos focus on two processes; differentiating a function and integrating a...

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#### Differential Equations Representing Growth and Decay: Rice Legend

The legend of a wise man who asks a king for rice as a reward presents a context to study exponential solutions to differential equations. Pupils move quantities of rice to a chessboard and calculate the amount of rice for each day. To...

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#### Differential Equations

Need some help teaching differential equations? Here's a perfect resource for you. An analysis of differential equations gives instructors a better understanding of the concept. The resource gives suggestions on how to incorporate...

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#### The Domain of Solutions to Differential Equations

It'd be a shame to get a question wrong just by not accounting for the domain. An article on AP® Calculus looks at the importance of considering the domain of solutions to differential equations by looking at examples from past AP®...

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#### Calculus AB/BC - Exponential Models with Differential Equations

New ReviewExponential models come with a shortcut. Pupils watch an example of how to determine if a differential equation is an exponential model. Learners realize the solution is in the same formula, allowing for a quick way to determine the...

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#### Differential Equations

In this differential equations activity, students solve and complete 3 different parts of a problem. First, they sketch a slope field for the given differential equation on the axes provided. Then, students write an equation for the line...

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#### Differential Equations and Initial Value Problems

Demonstrate working an initial value problem with an AP Calculus video that verifies that a family of functions is a solution to a differential equation by substitution. The presentation goes on to find a particular solution that belongs...

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#### Calculus AB/BC - Verifying Solutions for Differential Equations

New ReviewFind out if it is truly the solution. An informative presentation provides viewers with multiple examples of finding the particular solution to a differential equation. Learners find out how to verify the solution by differentiating the...

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#### Calculus AB/BC - Unit 7 Review: Differential Equations

New ReviewDifferentiate everyone's knowledge. Pupils work through nine review questions to highlight key concepts from Unit 7. Items range from finding slope fields and reasoning with them to finding general and particular solutions of...

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#### Calculus AB/BC - Modeling Situations with Differential Equations

New ReviewDifferentiate between models. Pupils watch as the video works through three examples of creating a differential equation to model a situation. Scholars use their knowledge of proportional relationships to set up the equations and to...

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#### Approxiamte Solutions to Differential Equations-Slope Fields (graphical) and Euler's Method (numeric)

Twelfth graders explore differential equations. In this calculus activity, 12th graders explore Euler’s Methods of solving differential equations. Students use the symbolic capacity of the TI-89 to compare Euler’s Method of numeric...

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#### Worksheet Seventeen: Differential Equations

In this differential equation worksheet, students solve differential equations and graph solutions. This two-page worksheet contains 8 multi-step problems.

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#### The Spread of Disease with Differential Equations

Twelfth graders solve problems using differential equations. In this Calculus instructional activity, 12th graders analyze data regarding the spread of a flu virus. Students use the symbolic capacity of the TI-89 to develop a model and...

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#### Logistic Growth, Differential Equations, Slope Fields

Investigate differential equations with your class. They use the TI-89 to explore differential equations analytically, graphically, and numerically as the examine the relationships between each of the three approaches.

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#### Biological Models with Differential Equations

Explore differential equations by using models representing growth and decline. Using calculus, learners will investigate exponential and logistic growth in the context of several models representing the growth or decline of a...

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#### Linear Systems: Applications of Linear Algebra to Differential Equations

In this differential equations learning exercise, students solve systems of simultaneous differential equations using linear algebra. This six-page learning exercise contains approximately six problems, with explanations and examples.

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#### First Order Linear Differential Equations

In this linear differential equations worksheet, students solve 5 various types of problems that relate to first order linear differential equations. First, they find the general solution of the differential equation given in numbers 1...

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#### Coffee: Differential Equation

In this differential worksheet, students read a word problem and write a differential equation and solve it. They draw the slope field for given problems. This two-page worksheet contains 9 multi-step problems.

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#### Differential Equations

In this differential equations worksheet, students solve and complete 3 sets of various problems. First, they solve each of the differential equations. Then, students use the given information to evaluate the constant of integration....

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#### Differential Equations

In this differential equations learning exercise, students identify the slope and describe all points on the plane for the positive slope. This one-page learning exercise contains three problems.

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#### Differential Equations and Slope Fields

Young scholars solve differential equations. In this differential equations lesson, students use their TI-89 calculator to explore slope fields and find solutions to a differential equation. They graph their solutions.

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#### First-Order Differential Equations and Vector-Matrix Systems

In this differential equation learning exercise, students answer seventeen problems related to first-order differential equations, vectors, systems of equations, and vector-matrix form of systems of equations.

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#### Linear Systems: Differential Equations

In this differential equations worksheet, students solve collections of simultaneous differential equations. This six-page worksheet contains examples, explanations, and approximately six problems.