Goal: Think like a mathematician! Looking for repetition in the way you build, then generalize the regularity.
Source: Shared by Jesse Carson, Brookline Public Schools, MA
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I used this task after doing a linear pattern. This more challenging quadratic growth pattern was more interesting and engaging as students did not immediately go to a table and equation. Seven students each shared a different generalization that they came up with while drawing with repetition.
Students showed their generalizations on a projection on a white board. However, I wasn’t able to keep all of the students’ work up at the same time. I decided to have groups create posters showing their generalizations, instructing them to clearly show the connection between their drawings and expression. I then had groups explain another groups’ poster to the class.