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...
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.
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.
eBook
CK-12 Foundation

Ck 12: Interactive Geometry: 1.7 the Pythagorean Theorem

For Students 9th - 10th Standards
Explore and discover the Pythagorean theorem.
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...
Unit Plan
PBS

Using the Pythagorean Puzzle

For Students 9th - 10th
A printable expercise for students to find that the Pythagorean Theorem works. There are links to problems solving problems using the formula.
Handout
Cut the Knot

Cut the Knot!: Pythagoras' Theorem

For Students 9th - 10th
This site explains the Pythagorean theorem, giving a proof from Euclid, and gives a great interactive visual aid with a good explanation with it.
Handout
Cut the Knot

Cut the Knot!: Analogues and Generalization of the Pythagorean Theorem

For Students 9th - 10th
This site discusses the theorems and other findings which are directly related to the fundamental Pythagorean theorem. Be sure to click on the link to information on Pythagorean theorem to find several proofs of the theorem.
Handout
University of British Columbia

University of British Columbia: Proof of the Pythagorean Theorem

For Students 9th - 10th Standards
A geometric model that proves the Pythagorean Theorem in a step-by-step diagram that students can advance at their own pace. Requires Java.
Lesson Plan
Alabama Learning Exchange

Alex: The Pythagorean Theorem in the Real World

For Teachers 9th - 10th Standards
The introduction of this lesson plan has students verifying the famous Pythagorean Theorem with a hands-on proof. Students will then apply the Theorem in one of two ways: by solving for the side lengths of a right triangle and by...
Unit Plan
Cuemath

Cuemath: Hypotenuse Leg Theorem

For Students 9th - 10th
Explore the world of the hypotenuse leg theorem in this mini-lesson. Provides a definition, examples, and practice questions with answers that help with understanding their properties.
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.
Interactive
Shodor Education Foundation

Shodor Interactivate: Squaring the Triangle

For Students 9th - 10th Standards
Learn about how the Pythagorean Theorem works through investigating the standard geometric proof.
Lesson Plan
Alabama Learning Exchange

Alex: Growing in a Triangle

For Teachers 6th - 8th
Middle school students explore the Pythagorean Theorem by measuring and calculating diagonal lengths using the Pythagorean Theorem. Students view an animated proof of the Pythagorean Theorem. They access an Internet site to view and...
Handout
Math Open Reference

Math Open Reference: Biography of Pythagoras

For Students 9th - 10th
Biography of Greek mathematician, Pythagoras, who lived from 569 BC to approximately 475 BC. His theory, known as the Pythagorean Theorem continues to be of interest to mathematicians and has more than 400 different proofs.
Activity
Cut the Knot

Cut the Knot!: The Law of Cosines (Cosine Rule)

For Students 9th - 10th Standards
This site from Cut The Knot provides an overview of the law of cosines, complete with an explanation of the law and a proof of the law.
Graphic
Curated OER

Math Open Reference: Biography of Pythagoras

For Students 9th - 10th
Biography of Greek mathematician, Pythagoras, who lived from 569 BC to approximately 475 BC. His theory, known as the Pythagorean Theorem continues to be of interest to mathematicians and has more than 400 different proofs.

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