Recursive Patterns have proven to be a bit of a challenge for the middle schoolers. All through elementary years, students are taught linear patterning, which is a foundation of stepping up to recursive patterning, but the transition leaves many students puzzled. Perhaps one of the most effective early steps to introduce children to recursive patterning is through computer programming games, apps and/or software. I came across an interesting board game on kickstarter.com for young kids, “Robot Turtles: The Board Game for Little Programmers”. Older kids would be more interested in computer programing apps, there is a number of good apps (discussed in previous posts). The earlier students grasp recursive patterns they better they will perform in middle school pre-algebra.
F.IF.A.3 Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers.
CC.9.12.B.BF.1 Write a function that describes a relationship between two quanitities
MP2: Reason abstractly and quantitatively.
MP4: Model with mathematics.