Stepping Stones Investigation: Fibonacci Sequences, Pattern Spotting, Methodical Thinking

This 1 or 2 lesson investigation, is aimed at KS3 classes and is particularly suitable for mixed ability classes.

The lesson uses the theme of “How many different ways are there to cross a river, given an increasing number of stepping stones”

Students begin by working methodically to find exhaustive lists of all the different ways to cross the river.

Students are then encouraged to spot patterns and predict future outcomes, before testing their predictions, with the resulting pattern being a Fibonacci Sequence.

This lesson works particularly well when taught after the sequences topic in year 7 or 8.