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.
The Vocab Blitz is a visual strategy used to teach concepts through the use of math vocabulary. Students answer deep questions about the relationship between words and math and earn tickets. They place these in the Raffle Jar, which we pick from on Fridays for a small prize. Math vocabulary just for the sake of knowing academic language is good, but the Vocab Blitz explicitly asks students to apply the terms, which allows me to build more rigorous questions and connect ideas (i.e. how volume connects to science). For example, by knowing what the dividend actually is, we have a shared language that we can use when trying to figure out if a problem is asking us to multiply or divide, and to connect to improper fractions' numerator when converting them.
Storybird is an amazing, free, online software that allows students to create their own stories using real artist's works and collaborate and share among their class. In math, it is always essential to get students to appreciate the real world contexts in which their work is derived. Storybird allows students to incorporate literacy and their own interests into the math that we are working on. It also allows for feedback from the teacher to make sure that the math value that students are getting out of their stories is pure and real. Students must work within a rubric to develop a starting number sentence or operation into a real context. The deep discussions around verbs and operations that occurs is invaluable for a synthesis of the math concepts. Oh, and it is reallly fun to read each others!
Communicating and collaborating with both colleagues and students' families is crucial in a blended environment. This is especially true if a teacher is doing something that looks very different from other teachers at his school. Check out how Daniel communicates and collaborates with both his colleagues at school and his students' families and how his methods of communication and collaboration have evolved over time.