The purpose of today's lesson is for students to solidify their understanding of arithmetic sequences. This task is similar to the one in the first lesson of this unit, Exploring an Arithmetic Sequence - Dots, so I try to help students as little as possible in this lesson and let them try to come up with the different representations on their own.
We begin class by reading through Scott's Workout together and then I let students get to work in small groups.
Students will spend the bulk of today's class working together to construct representations that describe this arithmetic sequence. Rather than guiding them through this process, I will try to refer them back, whenever possible, to their growing dots work. This should be a good way for them to relate the two problems and build their understanding, especially around writing recursive and explicit equations.
Issues I watch for:
The discussion section of this lesson follows the Scott’s Workout. Some key points I want to highlight in the discussion are:
I finish today's class with an exit ticket that asks students to respond to the following prompt: