Actually, I wanted patterns that grow by the same amount every time.

We might call these linear patterns. At least that's what I was hoping for.

And for the most part that's what I got.

See...

And this:

Q: "Hey Mr. Rowinsky, we couldn't seem to find the algebraic expression for this one."

A: "Umm, ya, those aren't, ummm linear. They don't grow by the same amount. What you've discovered is a pattern that grows by an amount that grows. That's advanced."

*Cheers*

Q: "But do these have an algebra expression we can use?"

A: "Good question!" as I think to myself, 'not one that I know off-hand.'

*Awkward smiles and blank stares*

I rush to Wolfram Alpha to find the solution. And Wolfram Alpha came through.

See...

Some initial thoughts:

1) Sometimes students take it to the next level without any help

2) Sometimes I need help with the next level

3) We live in a world where we shouldn't fear 1 or 2.

Sometimes I need help with the next level as well, but we definitely should not fear it. Awesome learning task!

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