The past few years I’ve used Fawn Nguyen’s * Visual Patterns* site as the structure for building an 8th graders understanding of linear relationships. Students GET patterns–even the most struggling learners can identify what’s happening in a linear pattern and complete a table of data points. What I’ve done recently is used the patterns to build an understanding of finding the constant rate of change between two points. Here is an example of what the students are presented with… Instead of giving the students something like this: I give them this: The students work on their dry erase board to create an input-output table of data points beginning with x is 0. We’ve spent A LOT of time creating our own tables that it has really started to become second nature. I didn’t tell them how to figure out the missing figure numbers…they just figured it out on their own…

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