In the lessons leading up to this one, students learned about arithmetic and geometric sequences, their links to linear and exponential functions studied in previous courses, and how to define sequences recursively using function notation. In this activity, students are introduced to the Information Gap cards routine, which offers them the opportunity for them to bring together what they have learned to solve a problem involving sequences. Thoughout the routine, there is a focus on using mathematically precise language as students request necessary information from their partner (MP6).
Since this routine may be new to students, this lesson gives extended time for an introduction to the routine.
- Determine what information is needed to represent a sequence in different ways. Ask questions to elicit information.
- Let's learn about Info Gaps
- I can ask questions to get the information needed to represent a sequence in different ways.
A sequence in which each term is the previous term plus a constant.
A sequence in which each term is a constant times the previous term.