At the end of the lesson, when it comes time to practice, my students find themselves at varying levels of success with the material. Some of my students have mastered material, while others need more guidance. I teach my students how to use Robert Marzano's scale of self-assessment, which allows them to rate their level of need. In our class, each level of the scale corresponds to a mode of practice, including teacher guidance, peer tutoring, online practice, and enrichment.
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.
Since my students use several different online platforms to personalize their learning, it is crucial that my students review outcomes and trends in their technology usage. Once a week, the class meets to celebrate achievements by "shouting out" students with high performance and also hold students accountable by "calling out" students who have not spent enough time doing problems correctly. Topics that show lower levels of mastery are reviewed and explained, and upcoming assignments are previewed. This is also the time when I respond to the questions my students have asked via the platforms' messaging systems.
I encourage my students to evaluate their peers whenever they are involved in discourse--both in side conversations as well as in class discussions. I implemented a system of Peer Evaluations, a process that involves students using silent hand signals, in order to give my students more voice in class. Some of my students want to say what they think and exert their opinions, but there isn't enough time for every student to share. Other students easily get distracted and need physical engagement to stay focused. Through Peer Evaluations, my students can share their thoughts and are pushed to stay focused throughout student discourse.