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# Fibonacci sequence

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### Fibonacci sequence

1. 1. NumeracyLearning objective:To recognise and explain anumber pattern.
2. 2. Maths is exciting!!!!!It links to theworld aroundus?It is notsomething thatsomeone hasjust ‘made up’?Many of ourancestors have beeninvestigatingmathematicaltheories for millionsof years?
3. 3. Have you ever wondered how manyspirals a sunflower centre has?
4. 4. Well, it is all to do with a number sequence whichwas discovered over 8000 years ago by an Italianmathematician called Leonardo Fibonacci.
5. 5. He discovered this number sequence0 1 1 2 3 5 8 13 21What are the next numbers in thissequence?Can you work out the rule for thisnumber sequence?How can we record our findings?
6. 6. The next numbers are34 55 89 144 233 377 610 987 1597So what is the rule?You add the last two numberstogether to get the next number!This number sequence is calledFibonacci numbers.
7. 7. Ok, so how does this link to sunflowersand nature?On many plants, thenumber of petals isa Fibonacci numberand the seeddistribution onsunflowers has aFibonacci spiraleffect.http://www.maths.surrey.ac.uk/hosted-sit
8. 8. Activity:Put a line under any number in thesequence. Add up all the numbers abovethe line.What do you notice?The total of all the line is one less thanthe second number below the line.Is this true every time?How can we record our results?
9. 9. Steps to successRemember to:•Work co-operatively with yourpartner;•Read the problem carefully;•Think of a logical way to calculateyour answers;•Ask for help if unsure
10. 10. Challenge:Take any three numbers in the sequence.Multiply the middle number by itself.Then multiply the first and the thirdnumbers together.Try this a few times.Do the answers have something incommon?Are there any numbers that do not fitthis rule?Tip: Use acalculator tohelp you!
11. 11. Fibonacci’s number pattern can also beseen elsewhere in nature:•with the rabbit population•with snail shells•with the bones in your fingers•with pine cones•with the stars in the solar system
12. 12. If you have time tonightGoogle Fibonacci and seewhere else his numbersequence appears.