Illustrative Math Alignment: Grade 8 Unit 8

Pythagorean Theorem and Irrational Numbers

Lesson 8: A Proof of the Pythagorean Theorem

Use the following Media4Math resources with this Illustrative Math lesson.

Title	Body	Curriculum Topic
VIDEO: Geometry Applications: Triangles	VIDEO: Geometry Applications: Triangles Topic Triangles	Definition of a Triangle and Applications of Triangles
VIDEO: Geometry Applications: Triangles, 1	VIDEO: Geometry Applications: Triangles, 1 Topic Triangles Description This video introduces the importance of triangles in architecture and structural design. It highlights the use of triangles in structures like the Bank of China Tower in Hong Kong, noting their ability to provide strength and stability. The video focuses on the role of triangles in reinforcing skyscrapers to withstand strong winds, especially during typhoon seasons. Key vocabulary includes architectural support, triangular base, and stability. The video sets up a foundation for exploring how triangle properties are applied in real-world contexts.	Definition of a Triangle and Applications of Triangles
VIDEO: Geometry Applications: Triangles, 2	VIDEO: Geometry Applications: Triangles, 2 Topic Triangles	Applications of Triangles
VIDEO: Geometry Applications: Triangles, 3	VIDEO: Geometry Applications: Triangles, 3 Topic Triangles	Applications of Triangles and Definition of a Triangle
VIDEO: Ti-Nspire Mini-Tutorial, Video 38	VIDEO: TI-Nspire Mini-Tutorial: Circumscribing a Circle about a Triangle In this TI Nspire tutorial, the Geometry window is used to circumscribe a circle about a triangle. This video supports the TI-Nspire Clickpad and Touchpad.	Geometric Constructions with Triangles
VIDEO: Ti-Nspire Mini-Tutorial, Video 51	VIDEO: TI-Nspire Mini-Tutorial: Constructing the Circumcenter of a Triangle In this TI Nspire tutorial, the Geometry window is used to construct a triangle and its circumcenter. This video supports the TI-Nspire Clickpad and Touchpad.	Geometric Constructions with Triangles
VIDEO: Ti-Nspire Mini-Tutorial, Video 52	VIDEO: TI-Nspire Mini-Tutorial: Constructing the Orthocenter of a Triangle In this TI Nspire tutorial the Geometry window is used to construct the orthocenter of a triangle. This video supports the TI-Nspire Clickpad and Touchpad.	Geometric Constructions with Triangles
Worksheet: Crossword Puzzle--Quadrilaterals	Worksheet: Crossword Puzzle--Quadrilaterals This is part of a collection of math worksheets that are crossword puzzles of math vocabulary. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Definition of a Quadrilateral
Worksheet: Crossword Puzzle--Triangles	Worksheet: Crossword Puzzle--Triangles This is part of a collection of math worksheets that are crossword puzzles of math vocabulary. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Definition of a Triangle
Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 01	Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 01 This is part of a collection of math worksheets on the topic of the distance formula. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Distance Formula and The Distance Formula
Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 02	Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 02 This is part of a collection of math worksheets on the topic of the distance formula. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Distance Formula and The Distance Formula
Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 03	Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 03 This is part of a collection of math worksheets on the topic of the distance formula. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Distance Formula and The Distance Formula
Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 04	Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 04 This is part of a collection of math worksheets on the topic of the distance formula. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Distance Formula and The Distance Formula
Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 05	Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 05 This is part of a collection of math worksheets on the topic of the distance formula. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Distance Formula and The Distance Formula
Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 06	Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 06 This is part of a collection of math worksheets on the topic of the distance formula. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Distance Formula and The Distance Formula
Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 07	Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 07 This is part of a collection of math worksheets on the topic of the distance formula. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Distance Formula and The Distance Formula
Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 08	Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 08 This is part of a collection of math worksheets on the topic of the distance formula. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Distance Formula and The Distance Formula
Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 09	Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 09 This is part of a collection of math worksheets on the topic of the distance formula. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Distance Formula and The Distance Formula
Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 10	Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 10 This is part of a collection of math worksheets on the topic of the distance formula. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Distance Formula and The Distance Formula
Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 11	Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 11 This is part of a collection of math worksheets on the topic of the distance formula. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Distance Formula and The Distance Formula
Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 12	Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 12 This is part of a collection of math worksheets on the topic of the distance formula. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Distance Formula and The Distance Formula
Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 13	Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 13 This is part of a collection of math worksheets on the topic of the distance formula. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Distance Formula and The Distance Formula
Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 14	Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 14 This is part of a collection of math worksheets on the topic of the distance formula. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Distance Formula and The Distance Formula
Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 15	Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 15 This is part of a collection of math worksheets on the topic of the distance formula. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Distance Formula and The Distance Formula
Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 16	Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 16 This is part of a collection of math worksheets on the topic of the distance formula. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Distance Formula and The Distance Formula
Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 17	Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 17 This is part of a collection of math worksheets on the topic of the distance formula. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Distance Formula and The Distance Formula
Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 18	Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 18 This is part of a collection of math worksheets on the topic of the distance formula. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Distance Formula and The Distance Formula
Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 19	Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 19 This is part of a collection of math worksheets on the topic of the distance formula. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Distance Formula and The Distance Formula
Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 20	Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Decimal Solution), Set 20 This is part of a collection of math worksheets on the topic of the distance formula. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Distance Formula and The Distance Formula
Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Radical Solution), Set 01	Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Radical Solution), Set 01 This is part of a collection of math worksheets on the topic of the distance formula. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Distance Formula and The Distance Formula
Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Radical Solution), Set 02	Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Radical Solution), Set 02 This is part of a collection of math worksheets on the topic of the distance formula. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Distance Formula and The Distance Formula
Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Radical Solution), Set 03	Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Radical Solution), Set 03 This is part of a collection of math worksheets on the topic of the distance formula. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Distance Formula and The Distance Formula
Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Radical Solution), Set 04	Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Radical Solution), Set 04 This is part of a collection of math worksheets on the topic of the distance formula. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Distance Formula and The Distance Formula
Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Radical Solution), Set 05	Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Radical Solution), Set 05 This is part of a collection of math worksheets on the topic of the distance formula. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Distance Formula and The Distance Formula
Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Radical Solution), Set 06	Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Radical Solution), Set 06 This is part of a collection of math worksheets on the topic of the distance formula. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Distance Formula and The Distance Formula
Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Radical Solution), Set 07	Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Radical Solution), Set 07 This is part of a collection of math worksheets on the topic of the distance formula. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Distance Formula and The Distance Formula
Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Radical Solution), Set 08	Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Radical Solution), Set 08 This is part of a collection of math worksheets on the topic of the distance formula. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Distance Formula and The Distance Formula
Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Radical Solution), Set 09	Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Radical Solution), Set 09 This is part of a collection of math worksheets on the topic of the distance formula. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Distance Formula and The Distance Formula
Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Radical Solution), Set 10	Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Radical Solution), Set 10 This is part of a collection of math worksheets on the topic of the distance formula. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Distance Formula and The Distance Formula
Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Radical Solution), Set 11	Worksheet: Distance Formula Quadrant 1 Based on Coordinates (Radical Solution), Set 11 This is part of a collection of math worksheets on the topic of the distance formula. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Distance Formula and The Distance Formula

Illustrative Math Alignment: Grade 8 Unit 8

Pythagorean Theorem and Irrational Numbers

Lesson 8: A Proof of the Pythagorean Theorem

Topic

Topic

Description

Topic

Topic

Related Resources

Worksheet Library

Related Resources

Worksheet Library

Related Resources

Worksheet Library

Related Resources

Worksheet Library

Related Resources

Worksheet Library

Related Resources

Worksheet Library

Related Resources

Worksheet Library

Related Resources

Worksheet Library

Related Resources

Worksheet Library

Related Resources

Worksheet Library

Related Resources

Worksheet Library

Related Resources

Worksheet Library

Related Resources

Worksheet Library

Related Resources

Worksheet Library

Related Resources

Worksheet Library

Related Resources

Worksheet Library

Related Resources

Worksheet Library

Related Resources

Worksheet Library

Related Resources

Worksheet Library

Related Resources

Worksheet Library

Related Resources

Worksheet Library

Related Resources

Worksheet Library

Related Resources

Worksheet Library

Related Resources

Worksheet Library

Related Resources

Worksheet Library

Related Resources

Worksheet Library

Related Resources

Worksheet Library

Related Resources

Worksheet Library

Related Resources

Worksheet Library

Related Resources

Worksheet Library

Related Resources

Worksheet Library

Related Resources

Worksheet Library

Related Resources

Worksheet Library

Related Resources

Worksheet Library

Related Resources

Worksheet Library

Related Resources

Worksheet Library