The goal of the lesson is for students to practice interpreting and writing recursive definitions of functions while also representing functions in different ways. When students match sequences and recursive definitions in a matching activity, they have opportunities to explain their reasoning and critique the reasoning of others (MP3). An important part of the activities is giving students time to share and explain their strategies for creating different representations. This helps emphasize that there is often more than one way to approach problems. It also helps establish that sharing strategies and learning from other students are classroom expectations.

Technology isn't required for this lesson, but there are opportunities for students to choose to use appropriate technology to solve problems. We recommend making technology available.