How many different shoes can you design on NIKEiD? NikeID allows users to customize a pair of shoes before buying them. While some people think technologies like this allow shoppers to find the perfect shoe, others aren’t so sure.
Students use tree diagrams to determine the total number of design combinations that are possible on NikeID and discuss the psychological impact of having billions of options to choose from.
Apply the fundamental counting principle to determine the total number of outcomes in a real-world context
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 have video game consoles changed over time? Students create exponential models to predict the speed of video game processors over time, compare their predictions to observed speeds, and consider the consequences as digital simulations become increasingly lifelike.
Building Functions (BF), Interpreting Categorical and Quantitative Data (ID), Interpreting Functions (IF), Linear, Quadratic, and Exponential Models (LE), Seeing Structure in Expressions (SSE)