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Resources tagged with Fibonacci sequence similar to Equal Temperament:

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Broad Topics > Sequences, Functions and Graphs > Fibonacci sequence

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Leonardo of Pisa and the Golden Rectangle

Stage: 2, 3 and 4

Leonardo who?! Well, Leonardo is better known as Fibonacci and this article will tell you some of fascinating things about his famous sequence.

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Ordered Sums

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

Let a(n) be the number of ways of expressing the integer n as an ordered sum of 1's and 2's. Let b(n) be the number of ways of expressing n as an ordered sum of integers greater than 1. (i) Calculate. . . .

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Golden Trail 1

Stage: 3, 4 and 5 Challenge Level: Challenge Level:1

A first trail through the mysterious world of the Golden Section.

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Gnomon Dimensions

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

These gnomons appear to have more than a passing connection with the Fibonacci sequence. This problem ask you to investigate some of these connections.

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Building Gnomons

Stage: 4 Challenge Level: Challenge Level:1

Build gnomons that are related to the Fibonacci sequence and try to explain why this is possible.

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Continued Fractions I

Stage: 4 and 5

An article introducing continued fractions with some simple puzzles for the reader.

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Got a Strategy for Last Biscuit?

Stage: 3 and 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Can you beat the computer in the challenging strategy game?

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1 Step 2 Step

Stage: 3 Challenge Level: Challenge Level:1

Liam's house has a staircase with 12 steps. He can go down the steps one at a time or two at time. In how many different ways can Liam go down the 12 steps?

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Spirals Instead of Sunflowers

Stage: 3 and 4 Challenge Level: Challenge Level:1

Using logo to investigate spirals

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Whirling Fibonacci Squares

Stage: 3 and 4

Draw whirling squares and see how Fibonacci sequences and golden rectangles are connected.

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Fibonacci's Three Wishes 2

Stage: 2 and 3

Second of two articles about Fibonacci, written for students.

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LOGO Challenge - Circles as Bugs

Stage: 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2

Here are some circle bugs to try to replicate with some elegant programming, plus some sequences generated elegantly in LOGO.

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First Forward Into Logo 11: Sequences

Stage: 3, 4 and 5 Challenge Level: Challenge Level:1

This part introduces the use of Logo for number work. Learn how to use Logo to generate sequences of numbers.

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The Golden Ratio, Fibonacci Numbers and Continued Fractions.

Stage: 4

An iterative method for finding the value of the Golden Ratio with explanations of how this involves the ratios of Fibonacci numbers and continued fractions.

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Fibs

Stage: 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

The well known Fibonacci sequence is 1 ,1, 2, 3, 5, 8, 13, 21.... How many Fibonacci sequences can you find containing the number 196 as one of the terms?

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Cellular

Stage: 2, 3 and 4 Challenge Level: Challenge Level:1

Cellular is an animation that helps you make geometric sequences composed of square cells.

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Magical Maze - 35 Activities

Stage: 4 and 5

Investigations and activities for you to enjoy on pattern in nature.

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Stringing it Out

Stage: 4 Challenge Level: Challenge Level:1

Explore the transformations and comment on what you find.