Evaluating and graphing the floor function

Students will learn how to evaluate the floor function, given decimals or fractions. Then students will learn how to graph the floor function, with and without transformations. Here's a video covering \(y = \lfloor x \rfloor,\) \(y = \lfloor 2x \rfloor,\) and \(y = \lfloor x - 2 \rfloor.\) And here's a video covering \(y = \lfloor 2x - 1 \rfloor.\) This is how I recommend teaching graph transformations, in general. Start with zero transformations, then one, then two, and so on.