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Worksheet
Curated OER

Setting Up Definite Integrals Using Local Approximations First

For Students 11th - Higher Ed
In this math worksheet, students practice solving the problems concerning the use of integrals. They focus upon using local approximations first for the word problems.
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Worksheet
Curated OER

Worksheet - Fall 1995

For Students 11th - Higher Ed
In this math worksheet, students write down the definition of a definite integral. Then take turns explaining the different parts to the members of a group.
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Worksheet
Curated OER

Math 155 Review Worksheet 10

For Students Higher Ed
In this college level Calculus worksheet, students evaluate indefinite and definite integrals.  The two page worksheet contains eight problems.  Answers are not included. 
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PPT
Portland
 State
 University

Historical Reflections on the Fundamental Theorem Of (Integral) Calculus

For Teachers 11th - 12th
Highlight the process of mathematical discovery for your classes. This lesson examines the development of the Fundamental Theorem of Calculus over time. Understanding the history of the theorem helps create a better understanding of the...
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eBook
Rice University

Calculus Volume 1

For Students 11th - Higher Ed
Differentiate between calculus concepts. The beginning of a helpful calculus resource begins with a short review of functions and moves right into limits to define derivatives. The six-chapter resource continues with applications of...
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Lesson Plan
Curated OER

The Definite integral and Area Under a Curve

For Teachers 11th - 12th
Students define integrals and explore how they relate to the areas under a curve. In this calculus lesson, students solve word problems relating curves and integrals. They sing a song to help them remember the formula for the area under...
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Lesson Plan
Curated OER

Evaluating Definite Integrals with Substitution

For Teachers 11th - 12th
Students evaluate and define limits using substitution. In this calculus instructional activity, students apply the use of Integrals to explore Newton's law of Cooling. They solve rate and temperature problems using Integrals.
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Worksheet
Curated OER

Challenge Sheet 3: Average Value of a Function

For Students 12th - Higher Ed
In this average value worksheet, students determine the average value of functions, sketch graphs of continuous intervals, evaluate integrals, find the average value of a function and convert limits to a definite integral. This one-page...
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Worksheet
Curated OER

Calculus Practice Test: Velocity, Functions

For Students 10th - 11th
In this calculus learning exercise, students observe graphs and identify the limits of the functions listed in the graph. They determine the definite integrals and derivatives. Students use the trapezoid rule to estimate distance. ...
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Worksheet
Curated OER

Integral Worksheet

For Students Higher Ed
For this college level calculus worksheet, students evaluate the given definite integrals.  The three page worksheet contains eight problems.  Solutions are not provided. 
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Worksheet
Curated OER

Integration Computations

For Students Higher Ed
In this college level Calculus worksheet, students evaluate indefinite and definite integrals. The two page worksheet contains ten problems. Answers are not provided. 
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Worksheet
Curated OER

Estimating he Value of a Definite Integral

For Students Higher Ed
In this definite integral worksheet, students solve three integrals for a defined value. They use the midpoint, trapezoidal, and Simpson's rules each one time to estimate the value of a definite integral.
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Worksheet
Curated OER

Accumulation Functions and Definite Integrals

For Students Higher Ed
In this accumulation functions worksheet, students write expressions that involve the definite integral of a given function. They use a graph to find given values of areas of the line. Students follow guiding questions to determine the...
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AP Test Prep1:38
1
1
Flipped Math

Calculus AB/BC - Selecting Techniques for Antidifferentiation

For Students 10th - 12th
Here's the antidote to ignorance on antiderivatives. Pupils try a set of problems that require finding the antiderivative. They choose from different techniques they already know to determine the indefinite integral or the definite...
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eBook
Rice University

Calculus Volume 2

For Students 11th - Higher Ed
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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eBook
Old Dominion University

Introduction to Calculus

For Teachers 11th - Higher Ed Standards
This heady calculus text covers the subjects of differential and integral calculus with rigorous detail, culminating in a chapter of physics and engineering applications. A particular emphasis on classic proof meshes with modern graphs,...
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Lesson Plan
North Carolina State University

Integrating Your Research

For Teachers 10th - 12th
Employ this resource to expand efficient ideas on how to present and organize activities that describe how researchers can implement their research by using direct quotes, paraphrasing, and summarizing—without plagiarizing. Activities...
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Lesson Plan
Curated OER

Character Education: Integrity

For Teachers 8th
Eighth graders write about a quote given to them to reflect on the concept of integrity. In this integrity lesson plan, 8th graders connect personal experiences to the concept of integrity and write about it.
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Lesson Plan
Curated OER

Principles of Integrity

For Teachers 8th
Eighth graders analyze phrases that represent having integrity. In this integrity lesson plan, 8th graders discuss what it means to be true to yourself and be honest when no one is looking.
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Lesson Plan
Curated OER

A Decision of Integrity

For Teachers 6th - 8th
Students study a man's life. In this values activity, students read about Frederik De Klerk and answer discussion questions. Students discuss his values, especially integrity, and how they made a difference.
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Worksheet
Curated OER

Finding Area Using Geometry, Integrals, and Riemann Sums

For Students 11th - Higher Ed
In this area activity, students calculate area in five problems using geometry and integrals and find patterns using Riemann sums in one problem.
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Worksheet
Curated OER

A.P. Calculus Test Covering Limits, Derivatives, and Integrals

For Students 12th - Higher Ed
In this calculus worksheet, students solve ten multiple-choice questions and eleven free-response questions covering limits, derivatives, and integrals.  Students should have covered trig limits prior to this worksheet.
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AP Test Prep11:54
1
1
Flipped Math

Calculus AB/BC - The Fundamental Theorem of Calculus and Accumulation Functions

For Students 10th - 12th
Connect integrals with differentiation. The beginning of the video introduces the definition of an accumulation function. Scholars learn about the relationship between integrals and derivatives. Using what is commonly known as Part Two...
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AP Test Prep
College Board

2008 AP® Calculus BC Free-Response Questions Form B

For Students 10th - 12th
This is integral to the test. Pupils realize that every question in the released free-response items from the 2008 AP® Calculus exam Form B requires integration. By reviewing the additional resources, scholars learn how important it is...

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