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Students will be able to explain the Pythagorean Theorem using a visual model.

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Students will be able to apply the Pythagorean Theorem to solve problems involving right triangles.

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Students will be able to understand and explain the converse of the Pythagorean Theorem.

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How does the Pythagorean Theorem help us understand the relationship between the sides of a right triangle?

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Watch this video and take the notes following along with the video.

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The Pythagorean theorem intro | Right triangles and trigonometry | Geometry | Khan Academy

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In groups of 3, use Padlet to create and share visual proofs of the Pythagorean Theorem using square cutouts or digital manipulatives.

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Pythagorean Theorem: In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Theorem (Boyaj, 1832; Gervin, 1833).

If two polygons have the same area, then they are decomposable in the same set of polygons.

That is, if two polygons have equal areas, then any of them can be decomposed into a finite set of pieces with which it is possible to reconstruct exactly the other polygon.

© 2002-2023, Mathematical Etudes Foundation.
Commercial use is prohibited

Steklov Mathematical Institute
of Russian Academy of Sciences

Mathematical Etudes

https://en.etudes.ru/etudes/pythagorean-theorem/

Theorem (Boyaj, 1832; Gervin, 1833).

If two polygons have the same area, then they are decomposable in the same set of polygons.

That is, if two polygons have equal areas, then any of them can be decomposed into a finite set of pieces with which it is possible to reconstruct exactly the other polygon.

© 2002-2023, Mathematical Etudes Foundation.
Commercial use is prohibited

Steklov Mathematical Institute
of Russian Academy of Sciences

Mathematical Etudes

https://en.etudes.ru/etudes/pythagorean-theorem/

Theorem (Boyaj, 1832; Gervin, 1833).

If two polygons have the same area, then they are decomposable in the same set of polygons.

That is, if two polygons have equal areas, then any of them can be decomposed into a finite set of pieces with which it is possible to reconstruct exactly the other polygon.

© 2002-2023, Mathematical Etudes Foundation.
Commercial use is prohibited

Steklov Mathematical Institute
of Russian Academy of Sciences

Mathematical Etudes

https://en.etudes.ru/etudes/pythagorean-theorem/

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Pythagorean theorem: Interactive puzzle / Etudes // Mathematical Etudes

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Pythagorean Theorem: In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Theorem (Boyaj, 1832; Gervin, 1833). If two poly­gons have the same area, then they are decom­pos­able in the same set of poly­gons.

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Solve the set of problems applying the Pythagorean Theorem to find missing side lengths in right triangles. Be sure to show your work, check your answers from the answer sheet, and then make corrections.

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Watch this video to build your understanding of the Converse of the Pythagorean Theorem.

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Converse of Pythagorean Theorem - MathHelp.com - Math Help

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For a complete lesson on Converse of the Pythagorean Theorem, go to http://www.MathHelp.com - 1000+ online math lessons featuring a personal math teacher inside every lesson! In this lesson, students learn the Converse of the Pythagorean Theorem, which states that if the sum of the squares of the lengths of two sides of a triangle is equal to the sum of the square of the third side, then the triangle is a right triangle.

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Extension: Converse of Pythagorean Theorem

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Extension: Converse of Pythagorean Theorem

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Explore the converse of the Pythagorean Theorem and how it can be used to determine if a triangle is right, acute, or obtuse. Take notes along the way.

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Direct variation describes a simple relationship between two variables. We say y varies directly with x (or as x, in some textbooks) if:

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Use this interactive geoboard to visualize and construct right triangles, reinforcing the concept of the Pythagorean Theorem.

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Pythagorean Theorem Geoboard | ExploreLearning Gizmos

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Students can build right triangles in an interactive geoboard simulation and build squares on the sides of the triangles to discover the Pythagorean Theorem.

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I will review your work on the independent practice problems, providing immediate feedback and support.

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Summative Assessment: Pythagorean Theorem Quiz

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Summative Assessment: Pythagorean Theorem Quiz

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Complete this quiz that includes both computational problems and conceptual questions about the Pythagorean Theorem and its converse. When you're done, raise your hand so I can check your score.

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Complete the exit ticket on Padlet, answering: 1) What is the Pythagorean Theorem? 2) How can you use it to solve problems? 3) What's one question you still have about today's lesson?

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Complete the set of Pythagorean Theorem application problems, including real-world scenarios.

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Reach 5 stars on the game and then move on.

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grade 8  free math games practice common core standards

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Practice using Pythagorean Theorem to find the hypotenuse of a right triangle.

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Watch this video to assist with your practice problems.

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Watch this video to see real-life applications to further your understanding. Then, write one example from the video.

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Pythagorean Theorem in Real Life Applications