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 Lesson Plans (5) Interactives/Games (2) Learning Activities (2) Teacher Tools (1)

## ALEX Lesson Plans

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Subject: Mathematics (8)
Title: Pythagorean Theorem: Prove It
Description: During this lesson, eighth grade students will be introduced to the Pythagorean Theorem: a2+b2=c2. They will construct a right triangle on graph paper and draw squares on each side of the triangle.

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Subject: Mathematics (8)
Title: Pythagorean Theorem: Prove It (Part 2)
Description: In this lesson, eighth grade students will use their new found knowledge of the Pythagorean Theorem and relate it to the world around them. They will work in cooperative groups to solve problems using the Pythagorean Theorem.

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Subject: Mathematics (8), or Technology Education (K - 5)
Title: Growing in a Triangle
Description: 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 discuss three examples of the Pythagorean Theorem.  Students apply knowledge of the Pythagorean Theorem to create a scale drawing of a plan to build a triangular raised bed garden for an outdoor classroom. Each group will present their plan to the class.

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Subject: Education and Training (8), or Mathematics (8)
Title: Quilting With My Pal, Pythagoras!
Description: In this unit lesson, students will learn about the Pythagorean Theorem and how it is evident in our everyday world. Students will apply the concept of the Pythagorean Theorem to the squares of a quilt. Each quilt square will be designed and crafted by a student. In the end, a beautiful quilt will be made with the help of Pythagoras himself!

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Subject: Mathematics (8 - 12)
Title: Proofs into Practice: The Pythagorean Theorem in the Real World
Description: The introduction of this lesson 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 determining whether three side lengths could possibly form a right triangle. Finally, students will choose one of two real-life applicataions to explore, using the Pythagorean Theorem.

## Web Resources

### Podcasts

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The Pythagorean Theorem TV
http://www.mathtv.co...
This website shows videos to help students and teachers understand the Pythagorean Theorem.

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Pythagorean Theorem Rap Song
http://www.flocabula...
This video puts the Pythagorean theorem in real-world terms, helping students visualize examples in which the formula comes into play. The professionally produced music and video is highly engaging for students. For teachers, there are links to song lyrics, activities, and questions. Many Flocabulary videos are only accessible through a paid subscription. *This particular video is available for free and without the need for an account sign-up.

### Interactives/Games

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Pythagorean Theorem game
http://www.math-play...
The pythagorean theorem game is a fun way for students to practice using the pythagorean theorem.

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Pythagorean Theorem Jeopardy
http://www.math-play...
In this Pythagorean Theorem Game, students will practice calculating the hypotenuse and the unknown leg in a right triangle. The converse of the Pythagorean Theorem will also be utilized to verify if three numbers could be the sides of a right triangle.

### Teacher Tools

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The Pythagorean Theorem TV
http://www.mathtv.co...
This website shows videos to help students and teachers understand the Pythagorean Theorem.

## Thinkfinity Learning Activities

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Subject: Mathematics
Title: Understanding the Pythagorean Relationship Using Interactive Figures
Description: The Pythagorean relationship, a2 + b2 = c2 (where a and b are the lengths of the legs of a right triangle and c is the hypotenuse), can be demonstrated in many ways, including with visual 'proofs' that require little or no symbolism or explanation. The activity in this example from Illuminations presents one dynamic version of a demonstration of this relationship. e-Math Investigations are selected e-examples from the electronic version of the Principles and Standards of School Mathematics (PSSM). The e-examples are part of the electronic version of the PSSM document. Given their interactive nature and focused discussion tied to the PSSM document, the e-examples are natural companions to the i-Math investigations.
Thinkfinity Partner: Illuminations