magic squares

these task sheets (and solutions) can be clicked to produce and savelarger images
easier tasks are in the older posts and become more demanding towards more recent posts
hopefully the resources illustrate that 'magic' squares provide a context for a variety of skill practice - with:
- some form of problem solving requested;
- considerations about relationships, justification and proof;
- extending work to an involvement of symbols;
- developing to quite complex uses of algebra.

I am indebted to Martin Hansen, whose articles in Maths in School (march 2010, sept 2010 and and nov 2010) provided much clarity on a possible teaching sequence and an understanding of relationships and solution techniques

Wednesday, 11 May 2011

multiplication

multiply across the rows:
2 x 7 x 6 etc
then add these

now multiply down the columns:
2 x 9 x 4 etc
then add these

does this work for other magic squares?










using a calculator, square the rows as 3-digit numbers and add them:
276^2 + 951^2 + 438^2

then do the same thing with the columns, reading downwards:
294^2 + 753^2 + 618^2

does this work for other magic squares?

No comments:

Post a Comment

Note: only a member of this blog may post a comment.