Activity
Texas Instruments

Texas Instruments: Riemann Sums and the Fundamental Theorem of Calculus

For Teachers 9th - 10th
In this activity, students learn and explore how Indefinite integrals are used to find the antiderivative of a function. They also learn that Definite integrals can be used to find the area bounded by a function and the X-axis. From...
Lesson Plan
Texas Instruments

Texas Instruments: Area Between Curves

For Teachers 9th - 10th
This activity will illustrate the idea of using the definite integral to represent the area bounded by two curves.
Activity
Texas Instruments

Texas Instruments: Quartic Regions

For Teachers 9th - 10th
This activity is an application of derivatives and of definite integrals. It introduces students to an interesting property of Quartics which students can verify using the CAS of their TI-89.
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.
Activity
Texas Instruments

Texas Instruments: Cubic Regions

For Teachers 9th - 10th
This application of derivatives and definite integrals introduces students to an interesting property of cubics and a method of proving that property using the TI-89 scripts. They then use the CAS of their TI-89 to generalize upon...
Handout
Wikimedia

Wikipedia: Integrity

For Students 9th - 10th
In addition to providing a definition of "integrity," this article has information on the various ways in which integrity manifests in popular culture, law, and science. Contains several links to articles on related topics.
Article
Other

Tsbvi: Sensory Integrative Dysfunction in Young Children

For Teachers Pre-K - 1st
An article on Sensory Integrative Dysfunction. Beginning with a definition of sensory integration, the author goes on to trace the history of what is now called sensory integration and its dysfunction. Included here are discussions of...
Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Topic Summaries: Techniques and Applications of the Integral

For Students 9th - 10th
The topic summary outlines techniques and applications of integration. Some topics reviewed are integration by parts, area between two curves, and improper integrals. The resource consists of definitions, notes, and examples.
Activity
Paul Dawkins

Paul's Online Notes: Calculus Iii: Multiple Integrals

For Students 9th - 10th
The resource examines applications of partial derivatives. Topics investigated are double integrals, triple integrals, surface area, and iterated integrals. Class notes, definitions, and examples with detailed solutions are included. The...
Handout
Wolfram Research

Wolfram Mathworld: Riemann Integral

For Students 9th - 10th
This site explains the Riemann Integral and its relation to the Riemann Sum. This site addresses double and triple Riemann Integral scenarios. Includes formulas, definitions, and links to related sites.
Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Topic Summaries: The Integral

For Students 9th - 10th
The topic summary outlines integration. Some topics reviewed are antiderivatives, integration rules, and integrals. The resource consists of definitions, notes, and examples.
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...
Activity
Paul Dawkins

Paul's Online Notes: Calculus Iii: Line Integrals

For Students 9th - 10th
The resource examines line integrals and interpretations of the line integral. Topics investigated are the fundamental theorem for line integrals, Green?s theorem, and conservative vector fields. Class notes, definitions, and examples...
Activity
Paul Dawkins

Paul's Online Notes: Calculus Iii: Surface Integrals

For Students 9th - 10th
The resource examines surface integrals. Topics investigated are parametric surfaces, surface integrals, Stokes? theorem, and the divergence theorem. Class notes, definitions, and examples with detailed solutions are included. The notes...
Activity
Other

Seton Hall University: The Riemann Integral

For Students 9th - 10th
This resouce, which is provided for by the Seton Hall University, is a detailed lesson explaining the The Riemann Integral. With definitions and examples
Handout
Math Open Reference

Math Open Reference: Integral Test

For Students 9th - 10th
A handy reference guide to the integral test. It provides definitions, examples, and an animation that enhances further explanation. Includes links to related topics.
Handout
Oswego City School District

Regents Exam Prep Center: Nys Mathematics Glossary: Integrated Algebra [Pdf]

For Teachers 9th - 10th
The glossary consists of mathematical terms used in integrated algebra. Definitions and examples are included. The resource is intended for teacher use only.
Handout
Math Open Reference

Math Open Reference: Integration by Substitution

For Students 9th - 10th
Learn about integration by substitution with this handy reference guide. Provides a detailed definition and examples that enhances further explanation. Includes links to related topics.
Activity
Integrated Publishing

Integrated Publishing: Joint Variation

For Students 9th - 10th
Contains definitions and examples of joint variations.
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.
Handout
Wolfram Research

Wolfram Math World: Fundamental Theorem of Calculus

For Students 9th - 10th
This MathWorld site offers an explanation of the fundamental theorem of calculus includes links to other relevant information.
Handout
Math Medics

S.o.s. Math: Improper Integrals and Series: The Integral Test

For Students 9th - 10th
This lesson explains the Integral Test for Improper Integrals and Series. The lesson provides definitions, background and examples.
Handout
Wolfram Research

Wolfram Mathworld: Riemann Sum

For Students 9th - 10th
This site discusses a Riemann Sum and how it relates to Integral Calculus. Includes definitions, graphs, and a customizable database for figuring a Riemann Sum.
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Area Under the Curve

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] The definition of integration, using limits to calculate the area under a curve.

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