Fibonacci sequence

problem
Paving paths

Age

11 to 14

Challenge level

How many different ways can I lay 10 paving slabs, each 2 foot by 1 foot, to make a path 2 foot wide and 10 foot long from my back door into my garden, without cutting any of the paving slabs?
problem
Fibs

Age

11 to 14

Challenge level

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?
problem
Golden powers

Age

16 to 18

Challenge level

You add 1 to the golden ratio to get its square. How do you find higher powers?
problem
Room doubling

Age

7 to 11

Challenge level

Investigate the different ways you could split up these rooms so that you have double the number.
article
Whirling Fibonacci squares

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

A voyage of discovery through a sequence of challenges exploring properties of the Golden Ratio and Fibonacci numbers.
article
The golden ratio, Fibonacci numbers and continued fractions

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.
article
Leonardo of Pisa and the golden rectangle

Leonardo who?! Well, Leonardo is better known as Fibonacci and this article will tell you some of fascinating things about his famous sequence.
article
Fibonacci's three wishes 2

Second of two articles about Fibonacci, written for students.
article
Continued fractions I

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