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Opposite Corners of a Square on a Number Grid

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Number Grid - Opposite Corners Investigation Introduction: This task involves pupils investigating the relationship between the results, when diagonally opposite numbers in various sizes of squares are multiplied, and comparing the products. Number Grid - Opposite Corners Investigation Method: 1. I will use a number grid from 1-100, like the one below, to collect examples of data from different size squares. 2. I will show 4 examples of each size of squares, to confirm each of the differences at the different stages. 3. I will look for a pattern and, if I find one, will explain it fully. 4. I will make a prediction of what I think will happen next and see if it works. 5. I will create an algebraic expression to prove my results. 6. I will then test my algebraic expression on the diagonally opposite corners a rectangle, to see if that works as well. 7. I will then describe the sequence and relationship of the results. 8....

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