Maths: Year 7 Have Fun With Fibonacci

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Year 7 have start their new topic of Sequences by investigating the legendary sequence first found by Leonardo Fibonacci of Pisa, a man about whom very little is known other than what he accomplished in the field of Mathematics.

The children began the lesson by understanding how Fibonacci developed the sequence by the use of breeding rabbits using certain theoretical constraints. The children quickly spotted the rule of the sequence and went as far as they could to continue it.

0 1 1 2 3 5 8 13 21 34 55 89

They quickly noticed that that next number in the sequence was the sum of the previous two. i.e 1 + 1 = 2 2 + 3 = 5 and so on.

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Children were then able to investigate several aspects of fruits and flowers to see if they could find any ‘Fibonacci’ numbers.

They were able to find examples including 5 petals on flowers, 8 stamen, 13 leaves, and 5-pointed stars inside all apples and 5 stripes on a banana.

The children found the lesson extremely rewarding and were also in awe of that fact that certain numbers could be ever-present in nature and not change within a species or plant type.

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Finally, the children finished with the task to disprove the statement:

Every bee has a ‘Fibonacci’ number of parents, grandparents, great grandparents and so forth if they follow these simple rules:

A male bee only needs one parent, a female.

A female bee needs two parents, a female and a male.

The children were not able to disprove this statement, but did they go far enough?

 

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