The Fibonacci Sequence Last lesson, we came across the Fibonacci sequence. Can you write down the first 10 Fibonacci numbers? 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, … How is it different to sequences we have previously looked at? Why can’t you find the nth term of this sequence using methods we know so far? (There is an nth term, Google it!)

Collective Memory You are now going to find out about the Mathematician who the sequence is named after. Around the room there are posters with information on. In your groups you are going to recreate the poster from memory. In turns you will go up to the poster for one minute and try to memorise key words, phrases and numbers to bring back to the poster. After you have all had a go, you will swap posters with another group who will mark it for key words, phrases and numbers that will be revealed afterwards. You will get 1 mark if it appears, or 2 marks if it is spelt correctly,

The Fibonacci Sequence What if you had a different pair of starting numbers? What if you start with 2, 1? Show me the first 10 numbers in this sequence (This is the Lucas sequence) 2, 1, 3, 4, 7, 11, 18, 29, 47, 76, …

The Fibonacci Sequence What if you add the first three numbers instead of the first two? So you start with 1, 1, 2? Show me the first 10 numbers in this sequence 1, 1, 2, 4, 7, 13, 24, 44, 81, 149, …

The Fibonacci Sequence Let’s practice some more with the question generator