Good. So I want you to start [Students experiment. The with the square that answer will be that the rows we’ve made and try swapping rows and/or columns have to be and swapping columns. See if swapped so that the 5 ends you can make a square so that up in the middle square… the diagonals add up to 15. give students hints along these lines if necessary.] I got it! Please write it on the board. Student writes it on the board. [A sample is below; there are only eight squares that work]: What do the rows sum to? 15! And the columns? 15! And the diagonals? 15! Wow! This square is an example of a [Students write magic magic square. [Writes on square and magic sum on board.] All the rows, all the their vocabulary sheets.] columns, and all the diagonals have the same sum. For this square, going to call 15 we’re the magic sum. [Writes on board.] Evaluation/Decision Point Assessment Student Outcomes When students are comfortable with the definition of a magic Students are able to square, continue. correctly identify magic we’ll squares.
Good. So I want you to start with the square that we’ve made and try swapping rows and swapping columns. See if you can make a square so that the diagonals add up to 15. Please write it on the board. This square is an example of a magic square. [Writes on board.] All the rows, all the columns, and all the diagonals have the same sum. For this square, we’re going to call 15 the magic sum. [Writes on board.] What do the rows sum to? And the columns? And the diagonals? [Students experiment. The answer will be that the rows and/or columns have to be swapped so that the 5 ends up in the middle square… give students hints along these lines if necessary.] I got it! Student writes it on the board. [A sample is below; there are only eight squares that work]: 15! 15! 15! Wow! [Students write magic square and magic sum on their vocabulary sheets.] Evaluation/Decision Point Assessment Student Outcomes When students are comfortable with the definition of a magic square, we’ll continue. Students are able to correctly identify magic squares.