In this two day lesson, I spent the first day defining, comparing and constrasting arithmetic and geometric sequences and working through some examples with the students. (As seen in the first worksheet.) We also talked about some sequences that were neither arithmetic or geometric. I created some of my own sequences for them to find the next few terms for, then they created a list of arithmetic and geometric sequences and switched with a partner for them to find the next few terms. On the second day of the lesson, We talked about the Fibonacci Sequence as well as some examples of how the sequences shows up in nature (there are MANY examples of this on the web - such as flower petals, pinecones, the human hand, seashells, etc). Then I handed out a large poster paper and the second worksheet (the mindmap). The students used this as a guide to create a mindmap that summarized arithmetic, geometric and the fibonacci sequence.