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Continued fractions I
An article introducing continued fractions with some simple puzzles for the reader.
Fibonacci sequence
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articleLeonardo 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.
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articleThe 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.
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articleGolden mathematics
A voyage of discovery through a sequence of challenges exploring properties of the Golden Ratio and Fibonacci numbers. -
articleWhirling Fibonacci squares
Draw whirling squares and see how Fibonacci sequences and golden rectangles are connected.
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problemSpirals instead of sunflowers
Age11 to 16Challenge level
Using logo to investigate spirals -
problemStringing it out
Age14 to 16Challenge level
Explore the transformations and comment on what you find. -
problemFibonacci factors
Age16 to 18Challenge level
For which values of n is the Fibonacci number fn even? Which Fibonnaci numbers are divisible by 3? -
problemFirst forward into Logo 11: sequences
Age11 to 18Challenge level
This part introduces the use of Logo for number work. Learn how to use Logo to generate sequences of numbers.