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Interactive
University of Colorado

University of Colorado: Ph Et Interactive Simulations: Calculus Grapher

For Students 9th - 10th Standards
Draw a graph of any function and see graphs of its derivative and integral. Don't forget to use the magnify/demagnify controls on the y-axis to adjust the scale.
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Unit Plan
Khan Academy

Khan Academy: Worked Example Motion Problems With Definite Integrals

For Students 9th - 10th
Remember, anti derivative of acceleration with respect to time is velocity and anti derivative of velocity with respect to time is distance where acceleration, velocity, distance are all functions of t, the time. This concept is very...
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Activity
Texas Instruments

Texas Instruments: Accumulation Functions

For Teachers 9th - 10th
In this activity, students examine functions defined by a definite integral. They create tables and graphs for integration functions. They understand the foundation of the Fundamental Theorem of Calculus.
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Unknown Type
Khan Academy

Khan Academy: Analyzing Problems Involving Definite Integrals

For Students 11th
Given a word problem that involves rates and accumulation, find the appropriate expression for solving the problem.
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Activity
Interactive Mathematics

Interactive Mathematics: Integration

For Students 9th - 10th
This lesson puts integration to work. Lessons include integral, derivatives, antiderivatives, and indefinite integrals. The Trapezoidal and Simpson's Rules are highlighted. The examples are enhanced using Live, Math and Scientific...
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Handout
Cuemath

Cuemath: Integral

For Students 9th - 10th
A comprehensive guide for learning all about integrals with definitions, types and formulas, solved examples, and practice questions.
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Unit Plan
Khan Academy

Khan Academy: Area Between Curves

For Students 9th - 10th
By integrating the difference of two functions, you can find the area between them. Created by Sal Khan.
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Activity
Texas Instruments

Texas Instruments: Integration

For Teachers 9th - 10th
This is a set of problems involving the concepts of integrals and antiderivatives. The problems are similar to those encountered during the third quarter of a typical calculus course.
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Activity
Paul Dawkins

Paul's Online Notes: Calculus Ii: Integration Techniques

For Students 9th - 10th
The resource examines various integration techniques. Topics investigated are integration by parts, partial fractions, comparison test, and trigonometric substitutions. Class notes, definitions, and examples with detailed solutions are...
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Activity
Other

Math Mistakes: Common Calculus Mistakes

For Students 9th - 10th
Learn from other student's mistakes by reviewing the following Calculus topics: limits, the power rule, derivatives, the sum rule, the product rule, the quotient rule, the chain rule, implicit differentiation, indefinite integrals,...
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Study Guide
Department of Defense

Do Dea: Ap Calculus

For Students 9th - 10th
View xplanations and examples using the Fundamental Theorem of Calculus. Great review for the AP Calculus test!
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Handout
Wolfram Research

Wolfram Math World: Improper Integrals

For Students 9th - 10th
Good site from Mathworld.com explaining Improper Integrals. Includes formulas, examples, and links to related sites.
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Graphic
Math Medics

S.o.s. Math: Improper Integrals

For Students 9th - 10th
This math lesson explains Improper Integrals with definitions and examples.
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Unknown Type
BBC

Bbc: Integration

For Students 9th - 10th
Several topics of integration are presented, including definite and indefinite integrals, trig integration, and area under curves. Examples and a practice test are included.
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Activity
Analyze Math

Analyze Math: Integral Form of the Definition of Natural Logarithm Ln(x)

For Students 9th - 10th
The applet examines the definition of the natural logarithm ln(x).
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Lesson Plan
Texas Instruments

Texas Instruments: Area Under Curve

For Teachers 9th - 10th
This activity will illustrate the idea of using the definite integral to represent the area bounded by a function and the x-axis.
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Activity
Texas Instruments

Texas Instruments: Ti 89 Riemann Sum Activities for Calculus

For Teachers 9th - 10th
In this Computer Algebra System (CAS) activity students use Riemann sums to estimate the distance traveled on a trip at various speeds. They utilize the concept of Riemann sums to calculate the area under a curve. Students find limits of...
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Handout
University of California

University of California, Davis: The Calculus Page

For Students 9th - 10th Standards
This site, from the University of California, provides several problems from beginning differential calculus, as well as beginning integral calculus. The problems can be accessed by clicking on the link, and the information provided is...
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Handout
Paul Dawkins

Paul's Online Notes: Calculus I: Applications of Integrals

For Students 9th - 10th Standards
The tutorial investigates applications of integrals. Topics discussed are average function value, area between two curves, volumes of solids of revolution, and work. Class notes, definitions, and examples with detailed solutions are...
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Handout
Paul Dawkins

Paul's Online Notes: Calculus Ii: Applications of Integrals

For Students 9th - 10th
The resource examines applications of integration. Topics investigated are arc length, surface area, center of mass, hydrostatic pressure, and probability density functions. Class notes, definitions, and examples with detailed solutions...
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Activity
Analyze Math

Analyze Math: Find Area Under Curve

For Students 9th - 10th
Scholars examine how to find the area under and between curves using definite integrals. The tutorial consists of practice exercises and examples with solutions.
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Handout
Math Open Reference

Math Open Reference: Fundamental Theorem of Calculus

For Students 9th - 10th
Learn about the fundamental theorem of calculus with this helpful reference tool. Provides a detailed definition and examples that enhance further explanation. Includes links to related topics.
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Study Guide
Department of Defense

Do Dea: Fundamental Theorem of Calculus Part 1

For Students 9th - 10th
Familiarize yourself with one of the most important theorems in all of calculus, the Fundamental Theorem of Calculus. Plenty of examples and explanations are provided. This is a great review for AP Calculus test!
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Unknown Type
Khan Academy

Khan Academy: Arc Length

For Students 9th - 10th
Use definite integrals to find the length of an arc. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.