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.
Teachers need feedback from their students constantly to make good decisions. One way I check what my students brains are doing is through Post it Power. This strategy involves students writing an answer to either a reflective question or math problem that will illuminate their understanding. Using this information, I get a powerful, visual snapshot of the class that helps me to make decisions about the following days' lesson.
Whole Group Exploration is a form of whole group instruction where we work with conceptual models to understand the algorithm behind solving math problems. Students work with whiteboards at the carpet as we discuss and work through a series of problems that build and understanding of our skill. As students successfully prove that they are ready to work independently, I dismiss them to their seat with our practice, keeping the students who need additional support to go through more practice problems. This strategy allows me to give more support to students who need it and release students who are ready to excel.
Poll Everywhere is a reflective tool that we use in my classroom to get insight into each other's thoughts, opinions, and answers. Essentially, students on any technology can open a specific or the permant poll question and respond throughout the day. Sometimes, we even do a wordle reflection to get a "pulse check" of how students feel about the content. The students often use Poll Everywhere during Marzano's practice or Workshop to leave advice or share a success or failure with their students. The thinking here is it is important for students to feel like they have an avenue to reflect, and that what they want to say can be useful for others. It helps us to foster a sense of true collaboration and community.