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McREL: Turning what works in teaching, leading, and learning into innovation and results

Nabu's Knee-knockerNabu's Knee-knocker



Calculator relations are defined for a calculator with a constant feature for and . To check your calculator, put on a number (say 21) and press and so on. If the number on the display increases by 5 each time you press (that is, the sequence of numbers you see on the display is 26, 31, 36, 41, 46, and so on), then the calculator has a constant mode operation of .

In this picture, arrows are for the calculator relation . Here, we start with 21 on the display and press and so on. Any number you see on the display is a possible ending number for an arrow. For example, ending numbers could be 36 or 101, as well as those shown in the picture.

Find all the possibilities for Kid, Mid, and Lid in these pictures involving various calculator relations. Use a pattern to describe all possibilities.



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