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The Pythagorean Theorem: Geometry's Most Elegant Theorem
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Educational Use
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Use this video to help teach the Pythagorean Theorem. The video can be downloaded, there is a transcript of the video, and a teacher's guide to aid in using the video. [21:38]

Subject:
Mathematics
Material Type:
Audio/Video
Provider:
Massachusetts Institute of Technology
Provider Set:
Blossoms
Date Added:
10/03/2023
Quadrilaterals and Triangles
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Educational Use
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This video lesson [4:55] describes the characteristics that quadrilaterals and triangles have in common. Students can check their understanding with an assessment.

Subject:
Mathematics
Material Type:
Audio/Video
Provider:
Sophia Learning
Date Added:
12/01/2023
Reflections and Equilateral Triangles
Unrestricted Use
CC BY
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This activity is one in a series of tasks using rigid transformations of the plane to explore symmetries of classes of triangles, with this task in particular focusing on the class of equilaterial triangles. In particular, the task has students link their intuitive notions of symmetries of a triangle with statements proving that the said triangle is unmoved by applying certain rigid transformations.

Subject:
Geometry
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
01/05/2013
Reflections and Equilateral Triangles II
Unrestricted Use
CC BY
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This task examines some of the properties of reflections of the plane which preserve an equilateral triangle: these were introduced in ''Reflections and Isosceles Triangles'' and ''Reflection and Equilateral Triangles I''. The task gives students a chance to see the impact of these reflections on an explicit object and to see that the reflections do not always commute.

Subject:
Geometry
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
01/05/2013
Reflections and Isosceles Triangles
Unrestricted Use
CC BY
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This activity is one in a series of tasks using rigid transformations of the plane to explore symmetries of classes of triangles, with this task in particular focussing on the class of isosceles triangles.

Subject:
Geometry
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
01/05/2013
Right Triangles Inscribed in Circles II
Unrestricted Use
CC BY
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The result here complements the fact, presented in the task ``Right triangles inscribed in circles I,'' that any triangle inscribed in a circle with one side being a diameter of the circle is a right triangle. A second common proof of this result rotates the triangle by 180 degrees about M and then shows that the quadrilateral, obtained by taking the union of these two triangles, is a rectangle.

Subject:
Geometry
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
01/21/2013
Same Base and Height, Variation 2
Unrestricted Use
CC BY
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This is the second version of a task asking students to find the areas of triangles that have the same base and height. This presentation is more abstract as students are not using physical models.

Subject:
Geometry
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012
Solve Triangles: Angle Bisector Theorem
Conditional Remix & Share Permitted
CC BY-NC-SA
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Use the angle bisector theorem to find missing side lengths in triangles.

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

Subject:
Mathematics
Material Type:
Activity/Lab
Interactive
Provider:
Khan Academy
Date Added:
11/14/2023
StudyPug: Pythagorean Theorem
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Educational Use
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In a nutshell, Pythagorean Theorem describes the relationship between the lengths and sides of a right triangle. Watch this video for a detailed explanation along with various examples. [8:48]

Subject:
Mathematics
Material Type:
Audio/Video
Provider:
Study Pug
Date Added:
12/01/2023
Three Points Defining a Circle
Conditional Remix & Share Permitted
CC BY-NC-SA
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This 10-minute video lesson shows that three points uniquely define a circle and that the center of a circle is the circumcenter for any triangle that the circle is circumscribed about.

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

Subject:
Algebra
Geometry
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
11/17/2020
Triangles
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Educational Use
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In this video segment [2:01] from Cyberchase, the CyberSquad finds that by arranging triangle tiles they are able to create a path that will allow them to cross a river of hot lava.

Subject:
Mathematics
Material Type:
Audio/Video
Lesson
Provider:
PBS LearningMedia
Date Added:
11/06/2023
Triangles
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Educational Use
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This lesson plan provides students with an opportunity to practice drawing and measuring triangles and angles. It also shows pictures and gives definitions of each type of angle and triangle.

Subject:
Mathematics
Material Type:
Lesson Plan
Provider:
HomeschoolMath.net
Date Added:
11/01/2022
Triangles: Designing a Straw Bridge
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Educational Use
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In this video segment adapted from ZOOM, the cast tries to design and build a bridge made out of drinking straws that will support the weight of 200 pennies.

Subject:
Chemistry
Engineering
Physics
Science
Material Type:
Activity/Lab
Provider:
PBS LearningMedia
Author:
National Science Foundation
WGBH Educational Foundation
Date Added:
01/22/2004
Triangles: Intro to Triangle Similarity
Conditional Remix & Share Permitted
CC BY-NC-SA
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Explains what it means for two triangles to be similar. Diagram of similar triangles is created with two parallel lines cut by two transversals.

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

Subject:
Mathematics
Material Type:
Audio/Video
Lesson
Provider:
Khan Academy
Date Added:
11/14/2023
Triangles: Targeted Math Instruction
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Educational Use
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Students will learn how to apply the properties and characteristics of all triangles to solve real-world problems and identify and use the unique characteristics of right, isosceles, equilateral, acute, obtuse, and scalene triangles.

Subject:
Mathematics
Material Type:
Lesson Plan
Provider:
PBS LearningMedia
Date Added:
11/06/2023