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?

#### Solution

- squares
- creating
- simple
- 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?
#### ngrams of length 2

collocation |
frequency |

fibonacci numbers |
8 |

fibonacci number |
4 |

#### Important Words

- add
- beneath
- creating
- discover
- drawing
- equation
- form
- fun
- giant
- patterns
- picture
- put
- rectangle
- satisfying
- show
- simple
- square
- squares
- start
- times
- true
- understand