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.
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.
I use Daily Exit Tickets to assess mastery of the day's objectives and to make sure students have a clear understanding of how they're doing. Students answer a few targeted questions on a Daily Exit Ticket, and the following day we review mastery shown by each student and celebrate their achievement (please see the "Data Review" strategy video). I read out each student's name who achieved mastery, and we quickly celebrate to recognize their hard work. For the students who have not reached mastery yet, this motivates them to keep striving to get that checkmark on the board. Rather than just using outdated student data from summative assessments, Daily Exit Tickets give me and my students a quick read on how they're growing throughout the week. Though these mini-assessments do not connect to my grading system, they allow me to track my students' daily progress throughout each week.
At the end of each class period, we spend time celebrating the soft skills students exhibited throughout class. Rather than focusing on academic achievements such as tests, we shout out students who show our core values, such as persistence, responsibility, or empathy. This way students get a chance to recognize one another for their support throught class. This ritual also positively reinforces these values, as students feel successful when they get a shout out.