Pythagoras's Theorem

Introduction

In this WebQuest, you will learn about the Pythagorean Theorem; how to use it, when to use it, and the history of the theorem. This will test your understanding of the Pythagorean Theorem, using the formula to solve questions and even creating your own problem in the real world by using this theorem. Are you ready for the challenge?


Task

Your task is for you to learn in depth about the Pythagorean Theorem. You will need to know  the in's and out's about the Pythagorean Theorem, such as the formula, the history, and using it in real life situation and you will be able to find the length of the missing leg or hypotenuse of a right triangle by using the Pythagorean Theorem. You will need something to write with (colorful writing utensils too), something to write on, and of course, your brain.

Let's get to work!

 

Process

Process Part 1

Here is where you will learn, study, and practice all about the Pythagorean Theorem. It may seem tough to look at in the begining, but it is very simple and also helpful in real life!

 Keep these three questions in mind. They are key ideas for the Pythagorean Theorem.

1) What is the formula for solving the Pythagorean Theorem?

2) When can you use the Pythagorean Theorem?

3) Why do you think the Pythagorean Theorem created?

After jotting these questions down in your head, you will proceed to the links below to study the Theorem...

(http://www.wikihow.com/Use-the-Pythagorean-Theorem)

(http://www.purplemath.com/modules/pythagthm.htm)

Next, you will need to know how you can use this theorem in the real world. Practice some real life questions with this website below...

(https://www.brainingcamp.com/content/pythagorean-theorem/problems.php)

This is an OPTIONAL website to study, it displays the history of the Pythagorean Theorem...

(http://mathematica.ludibunda.ch/pythagoras6.html)

Once you are ready, head on over to Process Part 2

Process Part 2

Now it is time for you to quiz me! Create 4 different sized right triangles and measure the sides of the triangles by centimeters, but leave one random side unmeasured for me to use the theorem. Make sure you have answers for them! This is the presentation, so make it pretty! 

You also need to have these requirements in your presentation:

A full example of 2 Pythagorean Theorem problems, describing each step.

Several different real life problems solved using the Pythagorean Theorem.

IXL Challenge

In this link, you try to achieve your highest score TWICE on some problems dealing with the Pythagorean Theorem (be sure you keep track of your scores when you are finished)... 

(http://www.ixl.com/math/geometry/pythagorean-theorem)

If you are finished with all of these assignments I gave you, chech out the evaluation tab to see how you did!

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Evaluation

Conclusion

Congratulations! You have just learned all the in's and out's of the Pythagorean Theorem! It was a relatively easy topic to learn, and you were able to create a project about it. All though it is math, everyday we find a way to use the Pythagorean theorem.

Credits

This webquest was created to show you an interesting and useful topic. I enjoyed creating a little challenge for students, while trying to make it enjoyable. I am in a Geometry Honors class, and this is a project that i did to benefit me for using my knowledge and creativity, and benefit you for learning. I hope this WebQuest gave you a great understanding of the Pythagorean Theorem!

-Trevor Dunham