1. Path Next Previous Pythagoras & His Theorem Who Was He and What Has He Done for Us A Virtual Field Trip

2. Path Next Previous Directions to follow the Pythagorean Path Use the worksheet to guide you with the tasks you need to complete. If you click on the Path button, you will be able to jump anywhere in the field trip. The Next button takes you to the next page in the sequence. The Previous button takes you back to the last page you were at. If you go to a website, close the window or click the back button from the website to return to the field trip. Enjoy your trip along the Pythagorean Path!

3. Path Next Previous Pythagorean Path Who was Pythagoras? What is the Pythagorean Theorem? What can it be used for? How can we use it today? Ramps Roofs Baseball

4. Path Next Previous Who was Pythagoras? Click on a button to find out about his life Where He Lived Where He Lived When He Lived When He Lived Who He Was Who He Was

5. Path Next Previous The Pythagorean Theorem The Pythagorean Theorem is one of the most well-known mathematical theorems. It has been proven by many different methods and entire books have been devoted to investigating its properties. Pythagoras is thought to be the first person to actually prove the theorem, although the Babylonians are believed to have discovered it about 1000 years before Pythagoras.

6. Path Next Previous What is the Pythagorean Theorem? Pythagorean Theorem Visual Proof

7. Path Next Previous What can it be used for? Find the hypotenuse of a right triangle Find a missing leg of a right triangle Determine if a triangle is a right triangle

8. Path Next Previous How can we use this theorem today? If there is a right triangle, the Pythagorean Theorem can be used. There are many real applications of right triangles. Let’s look at some of these uses.

9. Path Next Previous Some real ideas Click on a button to find out how the Pythagorean Theorem is used for each of these things. Ramps Baseball Roofs

10. Path Next Previous Ramps Ramps for buildings are actually right triangles. Read about the regulations that are required for accessibility Code for Ramps

11. Path Next Previous Let’s see how this would work We know the amount of incline that is allowed, the rise. We know the amount of distance required to cover, the run. We can calculate the ramp distance needed to accommodate these dimensions. a 2 + b 2 = c 2

12. Path Next Previous Another use - Roofs Roofs also use the Pythagorean Theorem. They usually have a pitch (or slope) and can use the theorem to determine how much material will be needed to complete a roof project. This is important as this is a large expense for many homeowners.

13. Path Next Previous Let’s look at some roofs From “Wagner Rooflines – Summer 1999” http://www.wagnerroofing.com/

14. Path Next Previous Types of roofs Look at the roof types available on many houses. Decide which one you think would take the least amount of material to build or repair. Roof Types

15. Path Next Previous Another Use – Baseball How difficult is it to hit a homerun in say – Fenway park, where they have the Green Monster in left field? Let’s check it out.

16. Path Next Previous Baseball To find out how far a baseball must be hit to clear the Green Monster in left field at Fenway Park in Boston, you can use the Pythagorean Theorem. Find out how tall the wall is and how far it is away from home plate. These measurements create a right triangle and you can find out how far a ball needs to be hit.

17. Path Next Previous Fenway Park Click on the Statistics button to find the height of the left field wall and the distance from home plate. Fenway Park Statistics

18. Path Next Previous Thank you for taking this tour of the Pythagorean Theorem.