Irrational Approximations on a Number Line

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

number line.JPG

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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2 thoughts on “Irrational Approximations on a Number Line

  1. 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)

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