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.
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.
Bull Boards is an instructional strategy to practice a computational or fluency skill throughout the week. The skill should be scaffolded, with simple questions building towards more rigor. I found that a main objective of this should not be to get bogged down with long problems (i.e. long division) but rather to check a thought process. For example, asking what a decimal is when rounded to the tenths, or which place value would be a hundred times bigger. The same skills cycle back throughout the year as a way to keep content fresh and allow us to connect currculum quicker.
ClassDojo is a free behavior tracking system. I use it everyday to give students feedback on how they're meeting academic and behavioral expectations. As students are given postiive points or "needs work" points, a sound beeps and the entire class hears and sees that a student is being given feedback. Just as with behavior narration, students become more aware about their personal behaviors, following the expectations as they see them reiterated through behavior points. Their scores carry through with them to each class, culminating in a report at the end of the day that goes home to the students' parents. This allows parents to stay in the loop with how students are working and behaving at school.