The basketball problem is a built in way to teach the students about rigor. At the beginning of the year, we discussed how math is like an onion. There are many layers and each one is more complex than the last. The "shot" is an opportunity to reward risk-taking and get the students really thinking about the most high-complexity questions that I can ask. For this reason, students are doubly invested in this part of class. One because they want to challenge themselves, and two because they want to get up there and take the shot.
I use the Turn and Talk strategy to get my students to discuss mathematical concepts. Given the shift to using technology (both in and out of the classroom), my students are becoming more and more used to sitting behind a screen and only interacting with the virtual world. I utilize Turn and Talks during lessons to build conversational and interpersonal skills. These quick conversations help students explain their thoughts and practice their articulation skills.
While students work on online practice problems, they use white boards to support their practice and show their work. When using white boards, students are very excited and engaged, being able to erase all or part of their work quickly to determine the right answer for their problem. They have the blank space available to show whatever they need - a model, drawing, calculation, or even explanation.
Through peer learning, students work together to practice skills and complete their independent practice. Through constant positive narration and coaching over best practices in peer learning, students are developing the skills needed to successfully collaborate and learn from other students.