One of the most challenging concepts for Algebra students is understanding the distinction between a relation and a function. This worksheet is my best shot: it provides them with an analogy of "Joey's Restaurant," where each customer (who is numbered), always gets to sit at his favorite table (which is also numbered.) Because most students are familiar with restaurants (such as the fact that customers may return repeatedly, and that tables can be reused by other customers), they readily develop an understanding of what makes a relation a function.
This worksheet also includes charts, mappings, sets, and the idea of domain and range. Students repeatedly tell me that they understand and remember this one years later.
This worksheet is intended for students to show their work on a separate sheet of paper.
Please download the pdf preview file first, so you can see exactly what's included; the product file is a word document, which you may edit for your students.
Immediately before this worksheet, I use the worksheet named 'Function Notation Fall 2013' (http://www.teacherspayteachers.com/Product/Function-Notation-Fall-2013-1106674
), and immediately after this worksheet, I use the worksheet named 'Parallel and Perpendicular Lines and Getting y by Itself Fall 2013' (http://www.teacherspayteachers.com/Product/Parallel-and-Perpendicular-Lines-and-Getting-y-by-Itself-Fall-2013-1120333
Keywords: relations versus functions, functions versus relations, domain, range, joey's restaurant, Jonnard