Nike allows users to customize their own pair of shoes. In this lesson, students use calculate how many color combinations are possible for the popular Nike Air Force 1 shoe. The answer? A LOT!
Sounds great…but is it? Students learn about the negative consequences of having too much choice, from “paralysis-by-analysis” to a loss of satisfaction. When we go shopping, how much is too much?
Calculate the number of possible color combinations for the Nike Air Force 1.
Analyze the advantages and disadvantages of having lots of options including paralysis-by-analysis.
Before you begin
It will be helpful if students are already familiar with describing sample spaces using organized lists or tree diagrams, and have developed an understanding of the Fundamental Counting Principle from simpler sample spaces. This lesson is an application of the Fundamental Counting Principle with a large sample space.
How do the rules of an election affect who wins? Students calculate (as a percent) how much of the electoral and popular vote different presidential candidates have received, and add with integers to explore elections under possible alternative voting systems.
Number System (NS), Ratios and Proportional Relationships (RP), Reasoning with Equations and Inequalities (REI)