# Differential Equations Teacher Resources

Find Differential Equations lesson plans and worksheets

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#### Calculus and The Simpsons

In this calculus worksheet, students examine a situation form The Simpsons in whcih Bart falls from a tree house. Students write and solve an differential equation that gives the height of the tree house. The one page worksheet...

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#### Worksheet 13

In this math worksheet, students find the solution for the Euler equation. Then they simplify the two differential for the functions of g and yp.

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#### Worksheet 15 Computer Lab

In this math worksheet, students discuss the natural frequency ω0 of the system and how it is the number of oscillations of the spring in 2π units of time.

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#### The Method of Integration by Parts

In this calculus worksheet, learners perform integration by parts. They solve differential equations as they use integration by part to solve unlike terms. There are 23 problems with an answer key.

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#### Worksheet 35

In this math worksheet, students analyze two vector fields. They tell which of the vector fields is the scaler field for the given function. Students draw solution curves to match the differential equations represented in the illustrations.

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#### Worksheet 31 - Doman & Range

In this function worksheet, students determine the domain and range of given functions. They use trigonometric ratios to determine if a statement is true or false. Students differentiate equations. In this one-page worksheet, students...

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#### Four Matrix, Eigenvalue, and Eigenvector Problems

For this matrix worksheet, pupils solve a system of differential equations, find eigenvalues and eigenvector in two problems, and solve a word problem using a system.

College Board

#### 2016 AP® Calculus BC Free-Response Questions

The split is 50-50. Released free-response questions from the 2016 AP Calculus BC show that half the questions are from the AB portion of the course and the others are from the BC portion. Teachers and pupils use the items to prepare and...

College Board

#### 2016 AP® Calculus AB Free-Response Questions

Using the common errors and test taker responses, it's easy for teachers to see where to pinpoint instruction throughout the AP Calculus course. Pupils, using the released items, develop an understanding of how future exams assess the...

College Board

#### 2015 AP® Calculus AB Free-Response Questions

How will the topics be assessed? Using the six released items from the Calculus AB test, pupils see how the exam assesses content from the course. With the additional materials covering test taker's responses and scoring keys, teachers...

College Board

#### 2014 AP® Calculus AB Free-Response Questions

Give classes a sneak peek at an upcoming test. Scholars work released items from the AP Calculus AB test to prepare for their own exams. The resource consists of six items, two graphing calculator items, and four non-calculator items....

College Board

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

Is this going to be on the test? The resource contains the AP Calculus AB free-response questions that were on the 2010 test. Pupils use the six questions to prepare for their tests. Teachers use the included response resources to...

College Board

#### 2013 AP® Calculus BC Free-Response Questions

Apply the skills to problems to ace the AP test. Free-response questions require scholars to take calculus skills and apply them to situations. Pupils use the questions to see how those situations appear on an upcoming exam. Teacher use...

College Board

#### 2018 AP® Calculus AB Free-Response Questions

Pupils interact with six released questions from the 2018 AP Calculus AB exam. Teachers use the additional materials to determine where the class is in terms of readiness for the exam to help provide additional instruction as needed.

College Board

#### 2017 AP® Calculus AB Free-Response Questions

What is the answer to this question? Pupils use six questions to practice for the AP Calculus AB test. The review questions are divided in two sections, calculator and non-calculator. Additional resources allow teachers to determine how...

College Board

#### 2017 AP® Calculus BC Free-Response Questions

Pupils use the six released free-response questions from an AP Calculus BC exam to prepare for their own exam. The questions cover a range of topics from the BC curriculum, with half of the items coming strictly from AB material and the...

College Board

#### 2015 AP® Calculus BC Free-Response Questions

How will the exam ask this question? The free-response questions from the 2015 AP Calculus BC exam demonstrate how questions appear on the test. Using the questions, pupils gain experience answering similar inquiries to what they see on...

College Board

#### 2009 AP® Calculus BC Free-Response Questions

Dive into the exam review. Pupils use questions, including one about diving into a pool, to prepare for the AP® Calculus BC exam. Items include contextual and non-contextual questions with contextual examples requiring a calculator....

College Board

#### 2013 AP® Calculus AB Free-Response Questions

What is the important stuff? The free-response questions from the 2013 Calculus AB exam highlight the topics in calculus assessed that year. Items provide pupils the opportunity to experience questions similar to what they will see on...

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#### Euler's Method Introduction

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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#### Slope Fields

Students create and analyze slope fields. In this calculus lesson, students create a visual of differential equations. They use the Ti Navigator to create slope fields.

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#### A Simple Model for Atmospheric Carbon Dioxide

In this atmospheric carbon dioxide worksheet, students use two diagrams to solve 6 problems about atmospheric carbon dioxide. One diagram shows the Keeling Curve and the other shows sources of carbon and the natural and anthropogenic...

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#### Engineering in a Calculus Classroom

Learners solve several differential equations. In this calculus lesson, students test their modulus calculation by testing different weights or beam lengths. They share their findings in class.

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#### Math Handbook: Calculus

If only there was a reference that listed all the formulas covered in calculus. Luckily, there is. This comprehensive 197-page handbook provides formulas and explanations for all topics in AP Calculus or in a standard college calculus...