What Comes Next? In Goes 2, Out Comes 5

What do you notice? What do you wonder? What comes next.

First, we gave the function machine an input of black 2 and it output green 5. Next, we input black 3 and it output green 7 and 1-half. Then we input black 4 and it output green 10. Last, we input black 5 and it output green 12 and 1-half.

Show or tell what the next two pictures look like. Describe how you know.

What is the rule the function machine is following?

Challenge

What would come out if you put 10 into the function machine? When would 250 come out of the function machine? How do you know?

Follow-up

Create your own rule involving fractions for the function machine and share it with someone else. Ask them what comes next!

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Reference for Educators