# Integrals Teacher Resources

Find Integrals lesson plans and worksheets
Showing 1 - 24 of 489 resources
38 Items in Collection
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#### AP Calculus AB

For Students 11th - 12th
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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#### 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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#### 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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#### The Fundamental Theorems of Calculus

For Teachers 11th - Higher Ed
Are your calculus pupils aware that they are standing on the shoulders of giants? This lesson plan provides a big picture view of the connection between differential and integral calculus and throws in a bit of history, as well. Note:...
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#### 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...
1 In 1 Collection 7:54
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#### Properties of the Definite Integral

For Students 11th - Higher Ed
What are the properties that can be associated with the definite integral? The AP Calculus video lists nine properties of the definite integral and provides explanations of why the properties hold for integrals in language that is simple...
7:42
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#### Calculus, What Is It Good For?

For Students 11th - Higher Ed
Explore the meaning of differentiation and integration. A video lesson describes in detail what differentiating and integrating an equation means using the momentum and kinetic energy formulas. Progressing from a linear to a quadratic...
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#### The AP Calculus Problem Book

For Students 11th - Higher Ed Standards
Are you always looking for extra problem resources to incorporate in your classes?  A set of problems for a full AP Calculus course may be all you need! Each unit has a full set of questions and a sample test.
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#### Indefinite Integrals

For Teachers 11th - Higher Ed Standards
The inverse of matter is anti-matter, so the inverse of a derivative is an antiderivative. The lesson introduces antiderivatives and indefinite integrals to the class along with the notation for integrals. Groups work together to find...
1 In 1 Collection
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#### Derivative and Integral Rules

For Teachers 10th - Higher Ed
Your calculus learners will enjoy this handy reference sheet containing the most used derivative and integral formulas.
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#### Properties of Definite Integrals

For Students 11th - Higher Ed
Close your eyes and visualize a definite integral. An interactive provides a visualization of a function and definite integral on a closed interval. Pupils move one point of the interval in either the positive or negative direction....
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#### Study Guide for the Advanced Placement Calculus AB Examination

For Teachers 11th - 12th Standards
Is this going to be on the test? A calculus study guide provides an organized list of important topics and a few examples with answers. The topics include elementary functions, limits, differential calculus, and integral calculus,...
20:45
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#### Integration and the Fundamental Theorem of Calculus | Essence of Calculus, Chapter 8

For Students 11th - Higher Ed
Integrate a great resource into your lesson plans. The eighth video in an 11-part series explains integration and the relationship between derivatives and integrals. The relationship between a car's velocity and its travel distance helps...
1 In 1 Collection 2:54
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#### Solving Integrals Using Substitution

For Students 11th - Higher Ed
The concept of solving integrals by substitution with trigonometric functions is modeled by a video designed for AP Calculus classes. The narrator works an example problem using substitution and shows that careful substitution makes...
17:04
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#### Essence of Calculus, Chapter 1

For Students 11th - Higher Ed
Dive into the essence of calculus. The first installment of an 11-part playlist introduces the video series by looking at the area of a circle and the area under curves. The narrator explains how to look at calculus as taking a hard...
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#### The Fundamental Theorem of Calculus

For Teachers 10th - 12th Standards
Practice in the mechanics of using substitution in integration is often hard to come by in enough quantity for learners to really wrap their heads around the nuances of the technique. This worksheet set with solution key and worked...
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#### Integral Calculus

For Teachers 10th - Higher Ed
From derivatives to antiderivatives and back again. Building on the second lesson of the three-part series covering functions, learners explore the concept of an antiderivative. They connect the concept to the graph of the function and...
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#### Integration by Substitution

For Teachers 11th - Higher Ed
Looking for help in introducing integration by substitution to your calculus learners?  Here is a lesson that walks a learner through a review of the change rule, and then by starting with more recognizable derivatives, it helps them...
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#### Calculus Grapher

For Teachers 8th - 12th Standards
Learners draw a graph of any function to see its derivative and integral in this simple, yet informative, simulation. Other options include manipulating the scale, the shape of the graph, and the angle.
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#### Calculus

For Students 11th - Higher Ed Standards
Everything you wanted to know about calculus—and more! The resource is a complete Calculus textbook with explanations, examples, and practice problems.
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#### Definite Integrals and Area Under a Curve

For Teachers 11th - Higher Ed
Students explore the concept of definite integrals.  In this definite integrals lesson, students find the area between two curves.  Students use the Ti-Nspire to find the definite integrals of curves such as sine and cosine.
9:00
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#### Natural Log Function-Integration

For Teachers 11th - Higher Ed Standards
One of the strongest tools in integration is u-substitution, particularly when working with natural logs. In this step-by-step video presentation, a pleasant-voiced instructor walks through a number of integration problems. She begins...
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#### A.P. Calculus Integration Test

For Students 12th - Higher Ed
In this A.P. Calculus learning exercise, 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...
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#### Calculus Assignment #1: Integrals

For Students 10th - 12th
In this calculus worksheet, students evaluate given integrals. Problems contain exponents, square roots, and complex fractions. This two-page worksheet contains 16 multi-step problems. Answers are provided on page two.