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Exploring Magic Squares: Finding Values and Creating Expressions

This activity involves tasks that explore magic squares, finding the values of x, a, and b, changing expressions to create a specific magic number, and creating a personalized magic square. The plenary explores using expressions to prove the magic square property.

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Exploring Magic Squares: Finding Values and Creating Expressions

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  1. Think Pair Share Why is this a magic square?

  2. Task A Are these magic squares? Explain how you know.

  3. Task OneThese magic squares are the same. Can you find the value of x, a and b?

  4. Task TwoHow would you change the expressions in these squares to make the magic number 30?The value of x, a and b must stay the same as were in task One . Complete this box using the values for x, a, and b that you worked out in task two x = a = b =

  5. Task ThreeChanging the values of x, a and b create your own magic square with a different magic number. Write the magic square using algebraic expressions first and then using numbers.How can you be sure that your magic square will work?

  6. What did your group do????????

  7. Plenary How can you use the expressions in each box to prove that this is a magic square?

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