full transcript
"From the Ted Talk by Arthur Benjamin: The magic of Fibonacci numbers"

#### Unscramble the Blue Letters

Now, as much fun as it is to discover these patterns, it's even more satisfying to understand why they are true. Let's look at that last equation. Why should the seuqras of one, one, two, three, five and eight add up to eight times 13? I'll show you by drawing a slpime picture. We'll start with a one-by-one square and next to that put another one-by-one square. Together, they form a one-by-two rectangle. Beneath that, I'll put a two-by-two square, and next to that, a three-by-three saqrue, beneath that, a five-by-five square, and then an eight-by-eight square, crteiang one giant rectangle, right?

#### Open Cloze

Now, as much fun as it is to discover these patterns, it's even more satisfying to understand why they are true. Let's look at that last equation. Why should the _______ of one, one, two, three, five and eight add up to eight times 13? I'll show you by drawing a ______ picture. We'll start with a one-by-one square and next to that put another one-by-one square. Together, they form a one-by-two rectangle. Beneath that, I'll put a two-by-two square, and next to that, a three-by-three ______, beneath that, a five-by-five square, and then an eight-by-eight square, ________ one giant rectangle, right?

1. squares
2. creating
3. simple
4. square

#### Original Text

Now, as much fun as it is to discover these patterns, it's even more satisfying to understand why they are true. Let's look at that last equation. Why should the squares of one, one, two, three, five and eight add up to eight times 13? I'll show you by drawing a simple picture. We'll start with a one-by-one square and next to that put another one-by-one square. Together, they form a one-by-two rectangle. Beneath that, I'll put a two-by-two square, and next to that, a three-by-three square, beneath that, a five-by-five square, and then an eight-by-eight square, creating one giant rectangle, right?

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collocation frequency
fibonacci numbers 8
fibonacci number 4

2. beneath
3. creating
4. discover
5. drawing
6. equation
7. form
8. fun
9. giant
10. patterns
11. picture
12. put
13. rectangle
14. satisfying
15. show
16. simple
17. square
18. squares
19. start
20. times
21. true
22. understand