Using the numbers 1 to 9, each only once, label the following number line.

Graph the roots of the first nine roots (e.g. √1, √2, … √9) on your number line.

What do you notice? What do you wonder?

(I’m wondering how I can make a good OM problem out of this, should I keep the boundaries of 1 to 9 ? Have students find a root that lies between each integer?)

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*Related*

Enter digits from 1 to 9 to make the following list in order from smallest to greatest and so the roots do not simplify.

rt(__ __), __, rt(__ __), __, rt(__ __)

(more open-ended than open middle)

not so bad for open middle, thanks for the idea John