Title: |
Grade 8 Mathematics Module 3, Topic C: The Pythagorean Theorem |
URL: |
https://www.engageny.org/resource/grade-8-mathematics-module-3-topic-c-overview |
Content Source: |
EngageNY
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Type: |
Lesson/Unit Plan
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Overview: |
It is recommended that students have some experience with the lessons in Topic D from Module 2 before beginning these lessons. In Lesson 13 of Module 3, Topic C, students are presented with a general proof that uses the Angle-Angle criterion. In Lesson 14, students are presented with a proof of the converse of the Pythagorean Theorem. Also in Lesson 14, students apply their knowledge of the Pythagorean Theorem (i.e., given a right triangle with sides a, b, c, where c is the hypotenuse, then a2 + b2 = c2) to determine unknown side lengths in right triangles. Students also use the converse of the theorem (i.e., given a triangle with lengths a, b, c, so that a2 + b2 = c2 then the triangle is a right triangle with hypotenuse c) to determine if a given triangle is in fact a right triangle.
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Content Standard(s): |
Mathematics MA2019 (2019) Grade: 8 | 26. Informally justify the Pythagorean Theorem and its converse. Unpacked Content
Alabama Alternate Achievement Standards
| Mathematics MA2019 (2019) Grade: 8 | 28. Apply the Pythagorean Theorem to determine unknown side lengths of right triangles, including real-world applications Unpacked Content
Alabama Alternate Achievement Standards
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Tags:
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converse, length, Pythagorean Theorem, right triangles, side, threedimensions, twodimensions |
License Type:
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Custom Permission Type See Terms: https://www.engageny.org/terms-of-use For full descriptions of license types and a guide to usage, visit :
https://creativecommons.org/licenses
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Accessibility | Text Resources: Content is organized under headings and subheadings |
Comments | There are two lessons in this topic.
This resource is free for teachers to access and use. All resources required for the lessons are available to print from the site. |