Differential Equations Teacher Resources
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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...
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...
Calculus AB/BC - Exponential Models with Differential Equations
Exponential 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...
In this differential equations worksheet, learners 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...
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...
Calculus AB/BC - Verifying Solutions for Differential Equations
Find 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...
Calculus AB/BC - Unit 7 Review: Differential Equations
Differentiate 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...
Calculus AB/BC - Modeling Situations with Differential Equations
Differentiate 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...
The Spread of Disease with Differential Equations
Twelfth graders solve problems using differential equations. In this Calculus lesson, 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 analyze the...
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.
Linear Systems: Applications of Linear Algebra to Differential Equations
In this differential equations instructional activity, students solve systems of simultaneous differential equations using linear algebra. This six-page instructional activity contains approximately six problems, with explanations and...
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.
For 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....
First-Order Differential Equations and Vector-Matrix Systems
In this differential equation activity, students answer seventeen problems related to first-order differential equations, vectors, systems of equations, and vector-matrix form of systems of equations.
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.
In this differential worksheet, students answer three essay questions. They are presented a problem about the height of a tree being a function of the base diameter. Students write the equation for the differential equation, solve the...
Linear Systems: Differential Equations
In this differential equations worksheet, students determine the stability of matrices and evaluate a matrix with an exponent. This two-page worksheet contains examples, explanations, and two problems to solve.
Applying Linear Algebra to Differential Equations
For this math worksheet, students using linear algebra to find the solutions to the differential equations. The equations are listed in systems.
In this differential equation worksheet, students find the derivative of given equations and express their answers as Maclaurin series. This two-page worksheet contains examples and explanations. There are two problems in this worksheet.
Separation of Variables and Initial Value Problem
Ap Calculus classes learn how to solve a differential equation by getting like variables together with a video that presents an example of how to solve a differential equation by using the method of separation of variables. The example...
Calculus AB/BC - Sketching Slope Fields
Frolic through a field of slopes. Learners watch a video describing slope fields and how to create one. Scholars use given slope fields to determine the equation of a tangent line and the possible differential equation. Pupils continue...
In this math worksheet, students solve differential equations. Students use similar equations, and analyze ways they differ from one another. Students draw directional fields and sketch solutions. The final three questions are...
2006 AP® Calculus AB Free-Response Questions
Develop more than just a topical approach to the exam. The six free-response questions from 2006 reveal how the AP exam assesses topics. By using the questions, pupils practice topics such as velocity, sketch slope fields, solving...