I've got this idea for a sequence lesson.
I see it as a group assignment. I want to give the students 2 terms of a sequence and have them identify a sequence which could contain those two terms. I figure that if I given only two terms, that a number of different sequences could be made using those terms.
I've never made a Prezi before, but I did work on one for this lesson. It is still a work in progress. (I am hoping for feedback on the lesson, not the Prezi) sequence prezi
The groups will all be given the same starting information (in case you didn't look at the Prezi). I will be giving them:
My thought is that the groups can either look at this as 5 cents and 20 cents, or they can see 1 thing and 4 things. I want the groups to each come up with a different sequence. Once each group comes up with their sequence they need to write the first 4 terms and a rule to get those terms on the board. As each group adds their terms and rules, that particular sequence becomes off limits to the other groups.
Next I want the groups to figure out if their sequence would end up including the term $5.00 or not.
I can see lots of different options for a third term, giving each group a different sequence of numbers and rules. I want different groups to view the given information differently. I don't want the final challenge to influence the kind of sequence they choose.