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When I was in fifth grade I was fascinated with square roots. The square root of perfect squares are easy if you know your squares such as 1x1=1, 2x2=4, 3x3=9 and so on. Since the square of 3 is 9, the square root of 9 is 3. They are opposites: square roots are the opposite of squares; addition is the opposite of subtraction; multiplication is the opposite of division.

Square + its Root + Next Root = Next Square

Pyramids:

Last week we explored the amazing pattern of squares withing square grids. The result is always a sum of square numbers such as 1 + 4 + 9 + 16 + 25 ... in a 5x5 grid.

We explored  the dimensions of our mathematical world. We should not take for granted that children understand the classifications of mathematical dimensions.