[NCTM Grade K-4 Standards #1, #2, #3, and #8]
[NCTM Grade 5-8 Standards #1, #2,#3, and #7]
[NCTM Grade 9-12 Standards #1, #2, and #3]
Students will work cooperatively in a group. Students will practice a variety of problem-solving strategies including
pattern seekingStudents will be able to justify their results and explain their solutions.
Object of the game:
To make a 3x3 magic square.
Students work in groups of four.
All students discuss strategies to use to complete the puzzle.
Two students work together to place number tiles.
Two students check the sums as number tiles are placed in the 3x3 grid.
The puzzle is complete when the sum of each row, column and diagonal is the same.
Determine the number of groups needed for the class.
Prepare one puzzle for each group. If number tiles of some sort are not available, use the handout to create enough number tiles for each group.
Each group of students is given the puzzle and the placement of the first 3 numbers:
Game rules are explained. Questions can be used as part of the game or as a way to process the game. Variations can include changing the placement of the original 3 starting numbers (but make certain that a magic square will be achievable).
Read about the math involved in constructing a 3x3 magic square, or
look through a whole Web unit about magic squares.
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