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Wheel of theodorus project

Wheel of theodorus project 2025

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The document outlines a project for constructing the Wheel of Theodorus, which consists of a series of contiguous right triangles used to illustrate square roots. It provides step-by-step instructions for creating the wheel, including measurements and calculations using the Pythagorean Theorem. Additionally, it includes a rubric for grading based on construction, calculations, project questions, and creativity. Students are encouraged to decorate their wheels with various themes.

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What is the spiral of Theodorus used for?

History and uses Although all of Theodorus work has been lost, Plato put Theodorus into his dialogue Theaetetus, which tells of his work. It is assumed that Theodorus had proved that all of the square roots of non-square integers from 3 to 17 are irrational by means of the Spiral of Theodorus.

How to make a spiral of Theodorus?

1:37 2:32 Between 2 and 1,000. Once we get to the end of our spiral. As weve done right. Here. We see thatMoreBetween 2 and 1,000. Once we get to the end of our spiral. As weve done right. Here. We see that The final line that weve drawn has a length of size of 1,000.

What is the formula for the wheel of Theodorus?

The spiral of Theodorus is a shape composed of right triangles. It starts with the 1 1 s q r t 2 1 - 1 - sqrt{2} 11sqrt2 isosceles right triangle and adds another right triangle with the right sides of 1 cm and the hypotenuse of the previous one.

How to make a toy water wheel?

Staple the playing cards evenly around one plate, then staple them to the other. Insert the skewer through the two holes in the plates. Place two rulers on top of the large plastic container. Place the water wheel on the rulers and tape down the skewer. Pour water onto the wheel and observe the results!

How to make a Theodorus wheel?

0:07 2:32 4. Using a straight edge and compass. We have constructed line segments of length of 2, ofMore4. Using a straight edge and compass. We have constructed line segments of length of 2, of 3 and of 4. But theres no reason to stop.

Why did Theodorus stop his wheel at 17?

Theodorus used this spiral to prove that all non-square integers from 3-17 are irrational. The original spiral stops at 17 because that is the last hypotenuse before overlapping the rest of the figure.

What is the wheel of Theodorus math project?

The wheel (or spiral) of Theodorus is a design in which right triangles are arranged to create a spiral. Each triangle forms one side of the next triangle, so impacts its size and dimensions. This can be a fun way to get students involved in geometry.

Wheel of theodorus project 2025

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