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# The True Scale Multiplication Grid

I came up with a neat idea for a multiplication grid visual the other day, and stuck it up on Twitter where it has been doing the rounds with unprecedented alacrity:

I’ve loved reading comments and seeing how people are using the grids already, with fellow teachers, students and your own kids (I’m making one on A1 squared paper for my son this weekend – here’s one 3-year-old who will know what multiplication means before he learns his tables, if I can manage it!)  A few of you came up with ideas for variations I could do, including starting the grid from the bottom-left to mimic a Cartesian coordinate grid, and emphasizing square numbers.  I’ve also done one with the prime factorization of numbers on one side of the diagonal, which I quite like.  I’ve put all the images together into a single pdf document to make it easier to access.  It’s on my website at www.thechalkface.net/resources/true_scale_multiplication_grid.pdf:

Please feel free to mess about with these, share them, modify them, distribute or display them.  I’d love to hear what you get up to, and in particular if you come up with any great ideas for investigations please share them in the comments section below or on twitter: @the_chalkface

My plan with the multiplication table was to give learners a clearer intuition for multiplication.  It is my firm belief that most difficulties students encounter with ‘hard’ topics like proportion, fractions and algebra usually stem from an inadequate grasp of, and familiarity with, multiplication.  There’s no point trying to teach expanding brackets until the distributive property makes sense numerically, for example, and the right sort of visual might help students to see not just the what, but the why.