This collaborative activity involves building a map of numbers using a very simple rule. The basic idea is to build a bunch of recursive sequences using the same rule, but different starting values.

## The Rule

Start with any positive whole number. If the number is even, divide it by 2. Otherwise, triple it and add one. Repeat until you spot a pattern or get tired.

## Task

Apply the rule for the following starting numbers. Then, build a map of the sequences generated by the numbers and make conjectures based on what you learned.

## Some Good Starting Numbers to Build the Map

10, 3, 256, 113, 35, 53, 11, 9, 341, 75, 23, 672, 201