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Magic Squares Even Ordered 4n x 4n Multiples

After a fun week working with odd ordered magic squares and watching the children follow a complicated algorithm, I wanted to continue with even ordered magic squares. The 6x6, 10x10, 14x14 algorithm is a little too much but the 4x4, 8x8, 12x12, etc. is very achievable.

We first discussed an unusual discovery, that the only magic square not possible is 2x2. Although the magic number should be 5, it is not achievable. A 1x1 Magic Square was fun to discuss and prove.

Magic Squares Odd Ordered (3x3, 5x5, 7x7, .....)

We have been working with magic squares in which each column, row, and both diagonals sum to the same value. However, the only magic square children every get to solve is the 3x3 which is relatively easy.

Magic Square Fill-in Empty Cells Puzzles

Magic squares are one of the simplest forms of logic puzzles, and a great introduction to problem solving techniques beyond traditional arithmetic algorithms.

Game Theory: Race to 15 and Knight’s Lines (Tues-Friday)

Game theory is the study of how and why people make decisions.

Knight's Uncrossed Open and Polygons

In 1968, L. D. Yarbrough introduced a new variant on the classic problem of knight's tour. In addition to the rule that a knight touring a chessboard cannot visit the same cell twice, the knight is also not