Pythagorean Theorem  An Internet Webquest.....
Introduction			In this webquest you will explore the Pythagorean Theorem. You will learn about several things:   History of Pythagoras   What is the Pythagorean Theorem  Describe & explain the Pythagorean Theorem Review and explain proofs of the Pythagorean Theorem  Complete  homework assignments applying the Pythagorean Theorem
	Task
Process
	Resources
Assignment
	Evaluation
Conclusion

In this webquest we will be learning about the Pythagorean Theorem.  We will be exploring several questions:

• Where did the theorem come from?
• Who developed it?
• How do we know it is true & will work on all right triangles?
• During this webquest you will investigate all these questions and will apply the Pythagorean Theorem when solving for missing lengths on right triangle.

You will be required to investigate the history of Pythagoras and the Pythagorean Theorem.  You will have the opportunity to practice applying the Pythagorean Theorem to several problems.  You should analyze information on the Pythagorean Theorem including not only the meaning and application of the theorem, but also the proofs. 
   

The Process:

You may work in small groups of 2/3 students subject to my approval during your investigation of the Pythagorean Theorem.  You will be given class time and computer lab time to complete this assignment.  Everyone must turn in their own assignments!!

The Assignment:

Your project will include the following:

1. Review Triangles.
   
2. What is the Pythagorean Theorem?  As a class we will discuss one to two proofs of the Pythagorean Theorem.  Choose a different theorem and explain it in your own words.
3. A paragraph summary of the life of Pythagoras.  In particular you should clearly indicate why he is credited with the development of the Pythagorean Theorem.  Please type or neatly write your paragraph.  This is due by the end of the class period tomorrow.
4. Complete these assignments on the Pythagorean Theorem.
   
   1. The Pythagorean Theorem & Baseball.
      
   2. The Pythagorean Theorem & Ladders.
5. Complete practice Problems. 
   

2. LIFE OF PYTHAGORAS

The Life of Pythagoras and his Theorem

MacTutor Math History Archives

3. Proofs

Interactive Mind Map of Pythagoras Theorem Proofs

Another Animated Proof

Math Forum Proof of the Pythagorean Theorem

EVALUATION RUBRIC: 200 POINTS TOTAL!!
   

	Novice	Advancing	Accomplished	Advanced
Use of Class Time	Student has used a limited amount of class time effectively in completing this Webquest	Student has used most of this class time effectively in completing this Webquest	Student has used all of the class time effectively in completing this Webquest	Student has used all the class time effectively AND efficiently in completing this Webquest
5 points total	10 point	30 points	40 points	50 points
History/Biography of Pythagoras	Student gave a very basic biography.  Paper contained grammatical errors.	Student gave a very basic biography.  Very few grammatical errors.	Student gave a good over all biography with no grammatical errors.	Student gave a good over all biography and thoroughly explained Pythagoras' contributions to mathematical theory.
5 points total	10 point	30 points	40 points	50 points
Understanding the Pythagorean Theorem  (Pythagorean Theorem Worksheets)	Student has no understanding of the Pythagorean Theorem or its application.	Student has a limited understanding of the Pythagorean Theorem and its applications.	Student has a clear understanding of the Pythagorean Theorem but a limited ability in applying the Theorem.	Student has a clear understanding of the Pythagorean theorem and its applications.
5 points total	10 point	30 points	40 points	50 points
Practice Problems & Homework Assignment	Student made a limited attempt to complete the practice problems and homework assignment.	Student completed the practice problems and homework assignment but there were a number of incorrect answers.	Student completed both the practice problems and homework assignment.  The student completed most of the problems and exercises correctly.	Student completed both the practice problems and homework assignment.  The student had very few or no incorrect answers.
5 points total	10 point	30 points	40 points	50 points

 

  CONCLUSION:
 

Through the webquest you will have the opportunity to investigate a mathematician and his accomplishments.  You gain insight into how a mathematical proof is formulated by locating and analyzing several proofs.  You will develop your ability to write and understand a logical mathematical proof.  By going through the process of proving the Pythagorean Theorem you will strength your understanding of the theorem and be able to understand how to apply the theorem to practical/real life situations.