After I had such a good time making the first distributive property quilt, I just knew that my work was not complete! I had to make another quilt to show a different way to look at the same problem-29 x 39. So basically, here is a new quilt illustrating a new strategy using the same problem!
This strategy is basically single number partitioning by a decade number. For example, I did not partition or break up the factor 29. The only factor partitioned was the 39 using the decade number 10, so I ended up with 10 + 10 + 10 + 9 = 39.
The quilt also helps visualize how you could use compensation to solve the problem. For example, since 29 is so close to 30, I can actually solve the problem by using (30 x 10) + (30 x 10) + (30 x 10) + (30 x 9). The tricky part in finding the exact answer comes from making sure to deal with the extra at the end because I added a row of 39 by rounding to 30. So, now I have to subtract a row of 39. Can you follow my thinking?
Back to the pictures...
The Distributive Duo! 29 x 39 = 1,131 (in square inches)
Thanks for reading about my quilts and the mathematics involved! Can you think of another way to look at this same problem? My friend Diana did! I think I might have to make a 3rd quilt.
Could this be the beginning of the distributive trio?