magic squares
Storyboard Text
- However, to get the central number, use the formula (N^2 +1)/2. In 3x3, (3^2+1)/2 is 10/2 or 5. that is why in 3x3 magic square, 5 is the central number
- The formula to get the constant sum or the sum of columns, rows, and diagonals re illustrated by (N^3+N)/2. Where N is the number of row, column, and diagonal. From the example 3x3 the N is 3.
- Cool right? It is really fun and beautiful to learn mathematics and there are many things to discover from here. Now that you know, I will give you a challenge.
- It's just like a simple quiz to test your knowledge about magic squares. Are you ready?
- Yes, I am ready!
- Ahhh. Now I know the technique to find the sum and the central number of magic squares.
- A challenge? What kind of challenge?
- In a 5x5 magic square, what is the constant sum of rows, columns and diagonals?
- Very good! You are really interested in this topic huh?
- The sum of the rows, columns and diagonals is 65!
- Hmmm. (5^3+5)/2 is 130/2. That is 65!
- What about its central number?
- Incredible!
- The central number is 13!
- Hmmmmm. (5^2+1)/2 is 26/2. Therefore, it is 13!
- Now for your final challenge, can you complete the 5x5 magic square?
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- Yes. I will never forget this experience. Thank you for showing me the some magic in mathematics. I have learned a lot!
- Bye!
- Then, we will see each other again! Happy learning! Goodbye!
- Very well! Did you enjoy the challenge?
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