I asked students what they noticed ... and how they saw the shape growing. I gave them a few minutes to share with their partners.
Students shared numerous ideas ... they talked about columns, rows, colors, triangular shape, symmetry, and more.
Then I asked students to name the pattern. And that's where they had quite a bit of fun! Here are some of the suggestions ...
Cloudy with a Chance of Falling Blocks
Partners then explored typical figurate numbers, triangular, square, rectangular, and pentagonal numbers. They discussed the patterns they saw and connections between the patterns.
Students are looking for the answers to these questions, "What 3-digit number is both triangular and pentagonal? What 4-digit number is both square and pentagonal? Can you find a number that is triangular, square, AND pentagonal?" I overhead a couple of students talking about writing a program to find their answers. I'm looking forward to our next class.