Integration Teacher Resources

Find Integration lesson plans and worksheets
Showing 25 - 48 of 270 resources
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Definite Integral

For Teachers 9th - 12th Standards
Learners investigate the intervals represented by a function in this calculus lesson. They decide what interval of the function will be positive, negative or zero. They are then given graphs of functions and asked to analyze it.
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Functions

For Students 12th - Higher Ed
In this functions instructional activity, students solve and complete 5 different sets of problems that include determining functions on intervals. First, they define a definite integral and the Fundamental Theorem of Calculus. Then,...
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AP Calculus Practice Exam

For Students 11th - 12th
In this practice exam learning exercise, students solve 17 multiple choice problems. Students find derivatives, points of continuity, maximums, minimums, integrals, and area of enclosed regions.
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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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InteGreat

For Teachers 9th - Higher Ed Standards
Hands-on investigation of Riemann sums becomes possible without intensive arithmetic gymnastics with this interactive lesson plan. Learners manipulate online graphing tools to develop and test theories about right, left, and midpoint...
4:37
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Trigonometric Integrals

For Students 11th - Higher Ed
Present examples of trigonometric integrals with a video that shows an example of determining a trigonometric integral. The AP Calculus example shows that many of the trigonometric integrals require manipulation and using trigonometric...
1:46
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The Second Fundamental Theorem of Calculus

For Students 11th - Higher Ed
How many fundamental theorems are there? The Second Fundamental Theorem of Calculus is also known as the second part of the Fundamental Theorem of Calculus. Here's a video that introduces the theorem as the method to evaluate a definite...
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Integration

For Teachers 12th
Twelfth graders investigate integration.  In this Calculus activity, 12th graders explore indefinite and definite integrals.  Students use technology (TI-89) to verify the solutions to problems requiring integration by parts.
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Integration

For Teachers 11th - 12th
Students integrate integrals.  In this integrating integrals lesson, students integrate definite and indefinite integrals.  Students use their Ti-89 to find the integrals of cubic, inverse, and trigonometric function graphs on a given...
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Proof That One Equals Zero (Using Calculus)

For Students 11th - 12th
For this proofs worksheet, students evaluate the integral of 1 function. Students use uv-substitution to prove 0=1.
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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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Exploration 3: Introduction to Definite Integrals

For Students 11th - 12th
In this integral worksheet, students estimate the definite integral and find the derivative of functions. They graph functions and determine the range of the velocity. This three-page worksheet contains approximately 40 problems.
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2017 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
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...
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Lesson 33- Integration by Substitution continued

For Students 11th - 12th
Humongous Calculus problem of the day - "Two hikers begin ..." Use the properties of indefinite integers and indefinte integrals to solve this problem.  Six practice problems are included with space to do the work, as well as a...
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Calculus Practice Test: Velocity, Functions

For Students 10th - 11th
In this calculus worksheet, 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. This...
3:23
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Volumes: Solids That are Not Solid of Revolution

For Students 11th - Higher Ed
Viewers learn how to calculate the volume when the cross section is not a circle by using the same principle as if it was a circle. The video goes through an example of finding the volume of a figure where the cross sections are squares...
5:59
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Volumes by Cylindrical Shells

For Students 11th - Higher Ed
Shells sometimes work better than washers. The AP Calculus video presents an example of finding the volume of a rotational solid by using the shell method. The method uses the integral of the lateral surface area of a cylinder as opposed...
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Calculus Concepts

For Teachers 12th - Higher Ed
Students use a graphing calculator to do calculations and edit their calculations using script. In this graphing calculator instructional activity, students compute the length of intervals given in parametric form. Students verify the...
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Variational Calculus 2

For Students 12th - Higher Ed
In this methods of applied mathematics worksheet, students solve 6 different types of problems related to variational calculus. First, they determine the first integrals of the Euler-Lagrange equations corresponding to the optimizations...
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Variational Calculus 1

For Students 12th - Higher Ed
In this methods of applied mathematics worksheet, students solve 4 different problems that relate to variational calculus. First, they determine a second order differential equation for the function y(x) for which the function given...
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Nine Definite Integrals and Fundamental Theorem Of Calculus Problems

For Students 11th - Higher Ed
In this definite integral worksheet, student find the value of five definite integrals.  Student then explain why a definite integral inequality holds true.  Finally, students are given the graph of a functions and asked to determine...
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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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Evaluate Integrals

For Students 12th - Higher Ed
In this evaluate integrals instructional activity, students solve and complete 12 different problems. First, they use the trigonometric identity given to rewrite the integral as follows. Then, students substitute when necessary and use...
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Computing Indefinite Integrals

For Teachers 11th - Higher Ed
Provide your students with a framework for introducing indefinite integrals. It takes into account a learner’s prior knowledge of slope fields and definite integrals and uses the notion of an antiderivative to give them an intuitive...