This activity was created for middle school math stations on functions. It is brief (two pages), but will give your students the opportunity to each analyze two nonlinear relationships. They will make a table and graph, look for intercepts, and identify increasing and decreasing periods. This way when they ask each other for help, it cannot be, “What’s the answer to number one?” but rather, “Can you explain how to do number one?” The conversations and explanations that arise are great.
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Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.1
Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. For example, the function A = s2 giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line.
Common Core Math Stations and Games - Pick-a-Card - Nonlinear Relationships
by Kimberly Wasylyk
is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License