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Activity
National Council of Teachers of Mathematics

Nctm: Illuminations: Proof Without Words: Pythagorean Theorem

For Students 9th - 10th Standards
This applet proves the Pythagorean Theorem "without words" using geometry.
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Unit Plan
CK-12 Foundation

Ck 12: Flex Book: Pythagorean Theorem

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] Learning module that introduces students to the Pythagorean Theorem. Topics include history, applications, and proofs related to this geometry concept.
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Unit Plan
TED Talks

Ted: Ted Ed: How Many Ways Are There to Prove the Pythagorean Theorem?

For Students 9th - 10th Standards
Betty Fei details these three famous Pythagorean theorem proofs.
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Handout
Oswego City School District

Regents Exam Prep Center: Theorems and Postulates for Geometry

For Students 9th - 10th Standards
Here is a partial list of theorems, postulates, and properties.
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Unit Plan
CK-12 Foundation

Ck 12: Geometry: Pythagorean Theorem and Pythagorean Triples

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] Apply the Pythagorean Theorem and its converse. Includes videos, exercises, links to interactive activities, etc.
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Activity
Paul Dawkins

Paul's Online Notes: Calculus I: Proof of Various Integral Properties

For Students 9th - 10th
The tutorial examines proofs of several properties of integrals. Topics discussed are the fundamental theorem of calculus, extreme value theorem, work, and mean value theorem. Class notes, proofs, and examples with detailed solutions are...
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Handout
Harvey Mudd College

Mean Value Theorem: Proof of the Mean Value Theorem

For Students 9th - 10th
A proof of the mean value theorem is offered at this site.
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Activity
Texas Instruments

Texas Instruments: Proof of the Pythagorean Theorem Using Transformations

For Teachers 9th - 10th Standards
In this activity, students will explore visual proofs of the Pythagorean Theorem using area and transformations. They will use the Cabri Jr. app to perform translations on the squares constructed on the two legs and the hypotenuse of a...
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Lesson Plan
Science Education Resource Center at Carleton College

Serc: Pythagorean Theorem Investigations

For Teachers 9th - 10th Standards
In this activity, students will gain an understanding of the Pythagorean theorem and will recognize the variety of ways in which theorems can be proved algebraically, geometrically and visually.
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Activity
Paul Dawkins

Paul's Online Notes: Calculus I: Proofs of Derivative Applications Facts

For Students 9th - 10th
The tutorial consists of proofs of derivative applications. Topics discussed are Fermat?s theorem, mean value theorem, and Rolle?s theorem. Class notes, definitions, and examples with detailed solutions are included. The class notes are...
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Unit Plan
Lawrence Hall of Science

The Math Page: Skill in Algebra: The Pythagorean Theorem

For Students 9th - 10th
Here is a site that clearly and thoroughly explains the Pythagorean Theorem from solving for missing sides of a right triangle through its proof. There are example problems solved, problems for the student to attempt, and answers to the...
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Handout
Harvey Mudd College

Hmc Mathematics Online Tutorial: The Mean Value Theorem

For Students 9th - 10th
This resource defines the mean value theorem and Rolle's theoem and also discusses key concepts of these theorems.
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Unit Plan
Oswego City School District

Regents Exam Prep Center: Pythagorean Theorem

For Students 7th - 9th Standards
Material to supplement introductory instruction on the Pythagorean Theorem. A very simple look at its use in geometry, a multiple-choice quiz through which students can test themselves and check their answers, and a teacher resource...
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Handout
National Council of Teachers of Mathematics

The Math Forum: Nctm: Ask Dr. Math: Binomial Theorem by Induction

For Students 9th - 10th Standards
Question-and-answer page about a proof of the Binomial Theorem by induction.
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Unit Plan
Math Is Fun

Math Is Fun: Pythagoras' Theorem

For Students 9th - 10th Standards
This resource investigates the Pythagorean Theorem. Includes animations, examples, proofs, and links to problems and activities.
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Article
University of Regina (Canada)

University of Regina: Math Central: The Binomial Theorem and the Principle of Inclusion & Exclusion p.i.e.

For Teachers 9th - 10th Standards
Get an explanation of the Principle of Inclusion and Exclusion and work through a proof using the Binomial Theorem. This resource concludes with two examples.
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Unknown Type
Khan Academy

Khan Academy: Line and Angle Proofs

For Students 9th - 10th Standards
Explore different ways of proving some theorems about lines and angles. Some transformations are used. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
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Unknown Type
Khan Academy

Khan Academy: Proofs With Transformations

For Students 9th - 10th Standards
Explore different ways of proving some theorems about lines and angles. Some transformations are used.
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Unit Plan
Cuemath

Cuemath: Midsegment of a Triangle

For Students 9th - 10th Standards
This mini-lesson explores the world of the midsegment of a triangle by finding the answers to questions like what is midsegment of a triangle, triangle midsegment theorem, and proof with the help of interactive questions.
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Handout
Wolfram Research

Wolfram Mathworld: Theorem

For Students 9th - 10th Standards
This simple MathWorld site defines theorems and briefly explains how a theorem is produced.
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Handout
Wolfram Research

Wolfram Math World: Divergence Theorem

For Students 9th - 10th
This site gives proof of the Divergence Theorem. Students should be somewhat familiar with divergence and gradient to utilize this site.
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Activity
Massachusetts Institute of Technology

Mit: World Math Web: The Squeeze Theorem

For Students 9th - 10th
This page contains an explanation and a proof of the squeeze theorem.
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Handout
Other

Xah Lee: Some Theorems on Rotation and Translation

For Students 11th - 12th Standards
This site is for the purpose of using proofs for geometry. It helps by giving some useful theorems.
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Interactive
Mangahigh

Mangahigh: Shape: Proof of the Exterior Angle Theorem for a Triangle

For Students 9th - 10th Standards
Use your knowledge of exterior angles of a triangle to prove the theorem.