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Brightening Up Roots and Radicals

 

Take 5

Roots and Radicals 1: The Pythagorean Theorem

The Pythagorean theorem is the oldest theorem in mathematics. Do you know that there is a connection between the Pythagoreans and music?

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Mr. McKeague
Mr. McKeague
Take 5

Roots and Radicals 2: The Spiral of Roots

We can use the Pythogorean theorem to get a visual representation of lots of irrational numbers.

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Mr. McKeague cc
Mr. McKeague
Take 5

Roots and Radicals 3: Pythagoras and Shakespeare

The Pythagorean theorem is the oldest theorem in mathematics. Do you know that there is a connection between the Pythagoreans and music?

Choose instructor to watch:
Mr. McKeague
Mr. McKeague
Take 5

Roots and Radicals 5: Constructing a Golden Rectangle from a Square of Side 4


No matter how large or small a golden rectangle is, the ratio of length to width is always the same.

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Mr. McKeague cc
Mr. McKeague
Take 5

Roots and Radicals 6: More Golden Rectangles within Our Orginal

How many Golden Rectangles are contained in any Golden Rectangel?  An infinite number.

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Mr. McKeague cc
Mr. McKeague
Stefanie cc
Stefanie
Julieta espanol spanish
Julieta
Edwin espanol spanish
Edwin
Take 5

Roots and Radicals 7:  The Fibonacci Sequence and the Golden Ratio

Another surprising relationship between two things that initially seem unrelated.

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Mr. McKeague cc
Mr. McKeague
Take 5

Roots and Radicals 8: The Golden Ratio in Bagdad in 1150.

Here is one problem that has almost everything we know about roots and radicals contained within it.

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Mr. McKeague cc
Mr. McKeague
Take 5

Roots and Radicals 4:  The Golden Rectangle

Constructing the Golden Rectangle, finding the Golden Ratio, and then noticing other Golden Rectangles within the first Golden Rectangle

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Mr. McKeague cc
Mr. McKeague