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Fibonacci Sequence

Enrichment PowerPoint Presentation

Fibonacci Sequence

This is a PowerPoint math or maths presentation on The Fibonacci Sequence.
This is a large presentation on the Fibonacci Sequence and covers a huge amount of material. We start by looking at a little history of Leonardo of Pisa and discuss his book Liber Abaci. We then introduce the “Rabbit Problem” and let the students determine the solution on their worksheet. We go on to introduce the Fibonacci sequence and then get the students to investigate some of its properties via a “10 question” worksheet. This alone could take up one or two lessons depending on the group.
Examples of questions asked are:
“Check that every third term is even and explain why this is the case? “
“Choose any number from the sequence, square it and compare the result with pairs of adjacent numbers.”
The teacher can display all the results on the whiteboard in a step by step process.
The final part of the investigation involves looking at the ratio of successive terms of the sequence and showing that they converge to the Golden Section. It would therefore be better to at least look at the Golden Section presentation prior to this one.
We then move on to look at one of the more well-known Fibonacci puzzles, namely the “Extra Square” puzzle. A full animated explanation is available to the teacher. After this we look at the Fibonacci numbers in Pascal’s Triangle before moving on to the occurrence of Fibonacci numbers in Nature. We look at photos of a variety of flowers with petals that are Fibonacci numbers and discuss the pineapple, pine cone and sunflower. An interactive diagram of a sun flower seed-head with spirals of 21 and 34 is available to the teacher or student to play with. Simply click on the 21 button and all of the 21 spirals animate from the centre in an anti-clockwise direction. Click on the 34 button and all of the 34 spirals animate from the centre in a clockwise direction.
Finally we finish with a choice of three investigations whose solutions all lead to the generation of the Fibonacci numbers. These are the “Paving Stones”, “Paying for Telephone Calls” and “Stairs”.
The teacher has comprehensive explanations and solutions available to each of these at the click of the mouse/pen.
This is a first class presentation on the Fibonacci Sequence bringing together many elements under one umbrella that are not available as a PowerPoint presentation anywhere. It will give you many hours of enjoyable teaching material and you will return to it time and time again.

Slides Animation Sound Worksheets Rating
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