Write any one magic square in fractions according to subtraction
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Show the students a magic square such as the one below, and ask why it is called a magic square.
6 1 5
3 4 5
3 7 2
Have them to check that the rows all have the same sum (of 12); that the columns all have the same sum; and that the diagonals have the same sum.
Pose Tui’s problem.
Have them work in pairs to see how many magic squares they can find.
Get some of the pairs to report back. Can they prove that the arrays they have produced are magic squares?
How many different magic squares can they find? How many do they think there are?
Ask the students to write up what they have discovered.
Pose the Extension problem when appropriate.
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