Magic squares are arrangements of numbers in rows and columns where the sum of each row, column and diagonal is the same. The document provides an example of a 3x3 magic square and explains that numbers cannot be repeated. It also describes how to construct a magic square by ensuring each row, column and diagonal adds up to the same number. Users are given practice problems of filling in missing numbers to complete magic squares.

1. MAGIC SQUARES By: Francesca Furca and Christina Barreca

2. WHAT ARE MAGIC SQUARES? Magic Squares are squares that have numbers arranged in equal rows and columns so that the sum of each row is the same.

3. THIS IS A IMAGE OF A MAGIC SQUARE. This is a Magic Square because each column ,row, and diagonal line add up to the same number. As you can see, in the square you can tell that the numbers don’t repeat. CAUTION: YOU CAN ONLY USE EACH NUMBER ONCE!

4. IS THIS A MAGIC SQUARE? Yes

5. WHY??? Each row, column, and diagonal line add up to the same number , Remember the numbers don’t have to only be 1-10 it could be 1-1000 if we wanted it to be

6. HOW TO GET MAGIC SQUARES. To get a magic square you need to make sure that all the numbers equal the same number. So like in Slide Number 3 all the numbers added up to 15. It can work in… -rows -columns -diagonal

7. NOW LETS PRACTICE!! Fill in the answers! 6 2 1 5 9 3 4

8. ANSWERS! 6 7 2 1 5 9 8 3 4

9. DID YOU UNDERSTAND HOW WE GOT THAT? Each row had to add up to 14. If you check yours and yours don’t add up to 14 then that is why it didn’t work

10. ACTIVITY: Draw this question in your notebook! This Chart equals 34. We want you to put in the numbers that go in the square. 16 13 14

11. ANSWER! 16 3 2 13 5 10 11 8 9 6 7 12 4 15 14 1

12. BIBLIOGRAPHY www.answers.com/topic/magic-Squares http://www.markfarra.com/msqhtol.htm http://mathforum.org/alejandre/magic.square/durer.gif

13. THE END!