Secondary mathematicians are developing functional fluency in their study of mathematics. One of the primary representations of functions is the graph. Here is a set of ten graphs of points through which students can try to create functions that will “catch” the most points with the graph. Some of the graphs have points that appear to be quadratic in nature, some linear, and some exponential. The type of graph created can depend upon the student, their level, the mathematical topic being studied, or the teacher’s desire.
These make nice journal prompts as well as activities for learning stations. Encourage students to use their graphing technology, TI-Nspire, TI-84 family, etc, as a tool of investigation. Students need to record each of their trials and discuss their thinking as they made refinements to their original function.
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