The concepts of "relation" and "function" are very vocabulary-rich! Students sometimes struggle with all of the synonyms... inputs, x-values, domain, independent variable... and so on! I designed this "representations mat" to help students see and apply these concepts in a visual way. First, I generate a relation consisting of 5 ordered pairs. Next, students use the "mat" to identify the domain and range, represent the ordered pairs in a table, create a mapping diagram, plot the points in the coordinate plane, and finally decide whether or not the relation is a function. Students can even generate ordered pairs themselves.
In the past, I used this sheet as a template and placed it in a clear plastic sleeve, so students could use a dry-erase marker and re-use the "mat" for various relations, erasing and starting fresh each time. I now have iPads for every student, so I have used the PDF file in apps that allow students to annotate the "mat" and save each relation we walk through. A simple way to address multiple representations and reinforce key vocabulary! Enjoy!