Dec
06
2007

Tom Biesanz
I appreciate learning that factoring shows up on the EZ Times Table. If looking at the numbers in all the columns of the Multiplication Facts Table, a student can instantly see the factors for any number by looking at what row, what column, or by counting down position in the column. The student has created their own view of factors and how they work and relate to each other. The Multiplication Facts Table also shows which numbers show up and how often, all visible by looking at the Table. For instance, 12 shows up in the 1,2,3,4, and 6 columns. 24 shows up in the 1,2,3,4,6, and 8 columns. This look at factors helps a student both understand and determine factors.
Dec
06
2007

Tom Biesanz
Patterns in numbers keep showing up. You probably don’t know that the last digit of 4 and 6 have the same but reversing pattern (4,8,2,6,0 and 6,2,8,4,0) and that 2 and 8 have the reverse relationship (2,4,6,8,0 and 8,6,4,2,0). It is also true that 3 and 7 have the same relationship. In fact, all numbers pairs that add up to ten have the inverse relationship. Of course 0 and 10, and 1 and 9 have it too. So it works across the board. Fascinating. This comes into play when making a 20 x 20 times table just out of patterns. The same patterns hold true going past 10 to infinity. The same patterns are there for 4, 14, 24, 144 ( all would have the 4, 8, 2, 6, 0 repeated pattern). See EZ Times Table book.