This lesson provides data about different tile designs to students in a variety of ways, in a table, in a graph, and in statements. Students need to determine which of the designs used the same proportions of black and white tiles. This is a good way to get students to choose an appropriate mathematical tool, either the graph or simplified ratios or both. They will also have to write an argument with supporting evidence to explain their choices. The questions "how do you know?" and "what makes you say that?" and "what could you do with this information/data to help you decide?" are the teachers most useful tool in this lesson.