Www.adamboddison.com. 2, 5, 8, 11,... 1, 4, 9, 16,... 9, 8, 6, 3,... 1, 1, 2, 3, 5, 8,... 14, 17, 20...

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Transcript of Www.adamboddison.com. 2, 5, 8, 11,... 1, 4, 9, 16,... 9, 8, 6, 3,... 1, 1, 2, 3, 5, 8,... 14, 17, 20...

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2, 5, 8, 11, ...1, 4, 9, 16, ...9, 8, 6, 3, ...1, 1, 2, 3, 5, 8, ...

14, 17, 2025, 36, 49-1, -6, -12 13, 21, 34

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025…

Birth: 1170Death: 1250

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Spirals Demo

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2, 5, ...4, 4, ...0, 6, ...1, 7, ...

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11 x 34 =11 x 51 =11 x 18 =11 x 25 =

374561198275

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11 x 76 = 7 6

13

11 x 76 = 836

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1. Choose 2 single digit starting numbers and create a Fibonacci-style sequence with ten terms.

2. See if you can add the numbers up more quickly than your friend, who is using the calculator.

3. The trick is to multiply the 7th number in your list by 11 to get the total.

5279

16254166

107173

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1. Choose the most accurate list of ten numbers from the last task and as a group, continue the list until you have 25 numbers in your list altogether.

2. Divide the 25th number by the 24th number and write your answer down so you can show it to the other schools

1.618033989...

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Red line – total height.Blue line – distance from the top of the head to thefinger tips.Yellow line – distance from the head to the navel andelbows.Green line – length of the forearm (or equivalently,the distance from the head to the armpit or the widthof the shoulders).Dark blue line – length of hand.

1. What fruits, vegetables and plants have Fibonacci properties?

2. Draw a perfect spiral using the Fibonacci Sequence to help you...

3. Where about in the world can you find the Golden Mean (or the Golden Ratio or the Golden Number)?

4. What numbers would you start a Fibonacci-style sequence with so that 50 was as far into the sequence as possible?

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