16 – arranging whole numbers

My geometry kids worked on this fun problem:

Below is an orderly way to arrange the whole numbers.  What number is directly above 100?  Directly above 1000?  What is a way to tell what number is directly above any given number?

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16    17    18    19    20    21

11    12    13    14    15

7      8      9     10

4      5      6

2      3

1

16-1

The algebra kids played Solving Equations Block game:

16-2

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