According to today's NYT, part of the proposed national curriculum states that third graders should "[u]nderstand that rectangular regions can be tiled with squares in rows and columns, or decomposed into such arrays." (K-12 Math Standards, p. 21)
But that's not true. By definition, if the sides of a rectangle are in an irrational proportion, it cannot be decomposed into an array of squares.
But that's not true. By definition, if the sides of a rectangle are in an irrational proportion, it cannot be decomposed into an array of squares.