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AP Test Prep
College Board

2005 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
Develop an awareness of the exam. Pupils and teachers use the six release free-response questions to see how the exam covers topics. The questions are divided among calculator and non-calculator items. Scholars see the importance of...
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AP Test Prep
College Board

2003 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
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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AP Test Prep
College Board

2000 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
Gain an upper hand in preparation for the exam. Teachers and pupils use six released questions to gain an understanding of the AP® Calculus exam. By answering the questions, scholars see how different concept of the course show up on the...
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AP Test Prep
College Board

2004 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
Develop a deeper understanding of calculus. The released item and support materials allows teachers and pupils to dig deeper into calculus topics. Scholars use the commentary and descriptions of the items to gain a better understanding...
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AP Test Prep
College Board

1998 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
Take a peek into the exam. Released items from the Calculus AB exam provide pupils insight into how questions appear on the exam. The six questions range from finding the area under a curve and the volume of the revolution to working...
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Interactive
CK-12 Foundation

Differential Equations Representing Growth and Decay: Rice Legend

For Students 11th - Higher Ed
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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Handout
Curated OER

Math Handbook: Calculus

For Students 10th - 12th
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...
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Worksheet
Curated OER

Differential Equations

For Students 12th - Higher Ed
In this differential equations instructional 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...
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Lesson Plan
Curated OER

Worksheet 16-Fall 1995

For Teachers Higher Ed
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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Lesson Plan
Curated OER

Worksheet Two

For Teachers Higher Ed
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...
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Worksheet
Curated OER

Math 150 - Differentiation Applications

For Students 11th - 12th
In this differentiation worksheet, students solve 25 short answer word problems. Students solve application word problems by finding the derivatives of functions.
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Worksheet
Curated OER

Condensing Section 4.1

For Students 11th - 12th
In this differential equations worksheet, students solve three sets of questions. The first section is titled "Existence and Uniqueness." The second section is titled "Linear Independence and Dependence," and the third section is about...
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Worksheet
Curated OER

Reductions of Order

For Students 11th - 12th
In this calculus worksheet, students identify functions as linear or nonlinear, homogeneous versus nonhomogeneous by using the reduction power theorem. There are 5 questions.
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Worksheet
Curated OER

Differentiation Computations

For Students 11th
In this calculus instructional activity, 11th graders solve problems using differential equations and computations. They apply properties of trig functions and simplify their answers. There are 9 questions.
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Worksheet
Curated OER

A.P. Calculus Integration Test

For Students 12th - Higher Ed
In this A.P. Calculus worksheet, students complete a sixteen question test covering trigonometric integration, area under a curve, differential equations, and slope fields.  Some of the problems are multiple choice, while others are...
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Lesson Plan
Curated OER

#3 Differential Calculus

For Teachers 12th - Higher Ed
Learners create models of the Mean Value Theorem.  In this Mean Value lesson plan, students use their knowledge of derivatives and exponential functions to explore the Mean Value Theorem.  They illustrate the meaning of the throrem,...
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Lesson Plan
Curated OER

The Spread of Disease with Differential Equations

For Teachers 12th
Twelfth graders solve problems using differential equations.  For 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...
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Lesson Plan
Texas Instruments

Logistic Growth, Differential Equations, Slope Fields

For Teachers 12th Standards
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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Worksheet
Curated OER

Space Math Differentiation-"Ch..Ch..Ch..Changes"

For Students 11th - Higher Ed
In this differentiation in space math activity, students use 6 different equations to solve 6 problems that involve differentiation related to astrophysics.
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Worksheet
Curated OER

Integrals

For Students 12th - Higher Ed
In this integrals activity, students solve and complete 22 various types of problems. First, they evaluate each of the listed integrals by using substitution. Then, students solve each of the given differential equations when given the...
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Worksheet
Curated OER

Integrals

For Students 12th - Higher Ed
In this integrals worksheet, students solve and complete 22 various types of problems. First, they evaluate each of the listed integrals on the sheet. Then, students solve each of the given differential equations by substituting the...
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Worksheet
Curated OER

Population Models and Qualitative Analysis

For Students Higher Ed
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
Curated OER

Calculus and The Simpsons

For Students 12th - Higher Ed
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
Curated OER

First-Order Differential Equations and Vector-Matrix Systems

For Students 11th - Higher Ed
In this differential equation worksheet, learners answer seventeen problems related to first-order differential equations, vectors, systems of equations, and vector-matrix form of systems of equations.