Overview: Students are given a worksheet of line graphs, most of which represent functions and a few of which don’t. The challenge is for students to figure out how to move relative to a motion detector so as to recreate each of the graphs. Students discover through their interaction with the motion detector that they are able to kinesthetically approximate only the graphs of mathematical functions. Based on these observations, students are able to deduce the definition for a function and use this knowledge for future mathematical problem solving. 

Lesson Objectives 
Curriculum Context 
Systems Concepts 

Mathematics, Prealgebra and Algebra, 6th – 9th grades
Patterns, Relations, and Functions:
Algebra strand:
Problem Solving strand:
Lesson can be extended and integrated into writing and literature lessons. 

Materials 
Time 
Systems Tools 



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