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: each customer (value of x) always gets to sit at his or her favorite table (value of y). Repeating is fine, as long as each value of x (each customer) never has more than one value of y (table).
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.
The worksheet includes spiral review problems.
Students write directly on this worksheet.
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.
Keywords: relations versus functions, functions versus relations, domain, range, joey's restaurant, Jonnard