Download ppt - How far can it go, before it’s GONE? Lean, Pisa, Lean

How far can it go, before it’sHow far can it go, before it’s

GONE?GONE?

Lean, Pisa, Lean . . . Lean, Pisa, Lean . . .

This is your WebQuest:This is your WebQuest:

Your job is to determine the actual angle Your job is to determine the actual angle that the Leaning Tower of Pisa is leaning that the Leaning Tower of Pisa is leaning at. You will be researching this significant at. You will be researching this significant architectural marvel on the internet, and . . architectural marvel on the internet, and . .

. . . using your knowledge of right triangles . . . using your knowledge of right triangles to determine its current angle, and through to determine its current angle, and through your research, you will determine how your research, you will determine how much more it can lean before it is FINITO!much more it can lean before it is FINITO!

SOL target Author Information

Menu of Options:Menu of Options:

Right Triangles Defined

Pythagoras Was a Guy . . . . .

How Much More?

Right TrianglesRight Triangles

Remember, the properties of a right Remember, the properties of a right triangle: A right triangle has one angle triangle: A right triangle has one angle that measures 90 degrees. that measures 90 degrees.

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The longest side is opposite this angle, The longest side is opposite this angle, and is called the hypotenuseand is called the hypotenuse

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But, the tower isn’t at a right angle, so now But, the tower isn’t at a right angle, so now what? what? Official Pisa website

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Pythagoras was a guy:Pythagoras was a guy:

Well, he’s pretty famous for discovering Well, he’s pretty famous for discovering the famous and VERY USEFUL formula:the famous and VERY USEFUL formula:


A squared plus B squared equals C A squared plus B squared equals C squared!squared!

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He’s an interesting guy. See for yourself He’s an interesting guy. See for yourself About Pythagoras

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What is the current angle of the Tower? A What is the current angle of the Tower? A look at the following website, will help you look at the following website, will help you with that: with that: Pisa information


With the information on the Tower, draw a With the information on the Tower, draw a triangle to represent the tower as it is triangle to represent the tower as it is today.today.

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Using the information we have, how much Using the information we have, how much more can the Tower lean? more can the Tower lean? more Tower info

Your final project is:Your final project is:

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Final project:Final project:

Construct your own Tower, and lean it Construct your own Tower, and lean it enough to make it fall. What is this angle?enough to make it fall. What is this angle?

Click the sun for references

List of references:List of references: Many thanks to the following websites:Many thanks to the following websites: http://torre.duomo.pisa.it/towersgallery/index_eng.html (the OFFICIAL (the OFFICIAL

Tower website)Tower website) http://www-groups.dcs.st-and.ac.uk/~history/Biographies/Pythagoras.html http://www-groups.dcs.st-and.ac.uk/~history/Biographies/Pythagoras.html

(about Pythagoras, courtesy of St. Andrews College, Scotland)(about Pythagoras, courtesy of St. Andrews College, Scotland) http://www.pbs.org/wgbh/nova/pisa/ this website is courtesy of NOVA. http://www.pbs.org/wgbh/nova/pisa/ this website is courtesy of NOVA.

Fantastico!Fantastico! http://www.pisaonline.it/pisa/town/pagine/torre2.htm This will help you with http://www.pisaonline.it/pisa/town/pagine/torre2.htm This will help you with

the anglesthe angles

Click to start again!Click to finish

Objectives of this presentation:Objectives of this presentation:

This presentation is designed to address This presentation is designed to address the Virginia SOL G.7: The student will the Virginia SOL G.7: The student will solve practical problems involving right solve practical problems involving right triangles by using the Pythagorean triangles by using the Pythagorean Theorem, properties of special right Theorem, properties of special right triangles, and right triangle trigonometry. triangles, and right triangle trigonometry. Solutions will be expressed in radical form Solutions will be expressed in radical form or as decimal approximations. back to or as decimal approximations. back to descriptiondescription

Author Information:Author Information:

Mrs. Landefeld is a first-time teacher of Mrs. Landefeld is a first-time teacher of geometry, and has yet to be scared off!!geometry, and has yet to be scared off!!

Her objective with this presentation is to Her objective with this presentation is to give her students a fun, interesting project. give her students a fun, interesting project. Che buono! back to description Che buono! back to description

THE END!THE END!