Exploring Magic Squares: Practical Investigations and Activities" (52 characters)
Discover the intrigue of magic squares with practical investigations and engaging activities. Learn how numbers 1 to 9 can create intriguing patterns with rows, columns, and diagonals adding up to the same total, known as the Magic Number. Get hands-on with creating magic squares in the school playground and challenge yourself with various grid sizes. From simple 3x3 grids to more complex 5x5 grids, explore the magic of numbers in a fun and educational way. Try your hand at filling missing numbers in magic squares and extend your skills by creating your own 4x4 magic squares. Dive into the world of magic squares and unleash your mathematical creativity! (500 characters)
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Presentation Transcript
Magic Square puzzles 8 1 6 3 5 7 4 9 2 Practical investigation creating magic squares in the school playground.
Magic Squares What are they? Numbers 1 to 9 Each Row, Column and Diagonal add up to the same total The Magic Number is 15 3 x 3 GRID
Magic Squares - Grids What is the Magic Number? Grid size Grid Numbers Magic Number 8 1 6 3x3 1-9 15 3 5 7 4 9 2 8 1 6 10 3 5 7 11 4x4 1-16 34 4 9 2 12 16 15 14 13 8 1 6 10 17 3 5 7 11 18 5x5 1-25 65 4 9 2 12 19 16 15 14 13 20 25 24 23 22 21
Magic Squares 8 8 1 6 Try this one Numbers 1-9 3 5 5 7 7 Magic Number is 15 4 9 2 2
Magic Squares ? 7 6 6 What are the missing numbers on this one? 5 5 ? 9 Remember: Numbers 1-9 Magic Number is 15 4 3 3 ?
Magic Squares 2 7 6 6 The answer: 9 9 5 5 1 4 3 3 8
Magic Squares - Activity Draw the 3x3 grid with chalk Add your own numbers 1-9 Get your partner to have a go Remember the magic number is 15
Magic Squares - Extension 2 2 7 12 12 13 13 Try creating your own 4 x 4 magic square, like this 16 16 9 9 6 3 5 5 4 15 15 10 Remember: Numbers between 1-16 Magic Number is 34 11 11 14 1 1 8 8
