We’ve spent the last couple days plotting square roots on number lines, including approximating square roots of irrational numbers. This group of students readily identified 2 strategies. Today’s task: Write a general set of instructions on how to use your chosen strategy with any number. The first group preferred to work with the visual of a number line–I’m not quite sure how they arrived at 9.2 but I can follow their instructions so far and I think I see their number line marked for the square root of each number between 81 and 100. The second group didn’t want to bother with a number line (even though that’s what they wrote for step 1), and went searching for a way to divide the whole between the two nearest perfect squares.

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