One of the things I absolutely love about math is the patterns. Patterns fascinate me. I remember asking a small tutoring group what patterns they saw in a hundred chart. Their response? None. That broke my heart. We need to give kiddos lots of experiences with patterns, and I don’t just mean ABABAB. Take for example the multiplication chart. Here’s your little quiz for the day. The answers are at the bottom, but don’t cheat! Look at what I’ve highlighted on each of the three multiplication charts below and see if you can determine and describe the pattern.
What did you see?
- In Chart 1, I noticed that the numbers mirrored each other on the diagonals. Look closer. On diagonals with an even number of squares, they are matched pairs (54, 56, 56, 54). On diagonals with an odd number of squares, there is one different number in the middle and the others mirror out (63, 64, 63). But wait! The single number in the middle of each diagonal alternates between odd and even (1, 4, 9, 16, 25, etc.).
- In Chart 2, do you see the equivalent fractions? 🙂
- Finally, in Chart 3, the difference between the numbers in the squares is 2 more than the difference in the two squares before it (2 + 4 = 6, 6 + 6 = 12, 12 + 8 = 20).