This lesson (LEFT-BOTTOM) is what I created for a "Flipped" lesson, using Ramsey Musallum's Explore-Flip-Apply model. I have been using Open Middle with my students for a while to provide opportunities for Math Talks. These are a great resource where a "problem" is presented but is designed to intentionally withhold information. One that I used recently, inspired this lesson because when I presented them with this (LEFT-TOP) a full on debate ensued about how to actually solve this using the principles of Order-of-Operations. It isn't always such a predictable response.
So, in the EXPLORE segment, I post a Question on Google Classroom that asks: "Are these Expressions Equivalent?" (LEFT-MIDDLE) It uses the same format as the earlier Open Middle problem because I wanted them to not have to worry about coming up with numbers, but to focus on what they know about Order-of-Operations (PEMDAS). This platform (Google Classroom) was perfect for setting up a Discussion/Debate about their understanding.
The FLIP segment is completed at home where students watch 2 videos about Order-of-Operations and Equivalent Expressions. This allows them the opportunity to review previous information and see how it may be applied to equivalent expressions. Questions have been embedded in the 2nd video for "checks for understanding" as they watch.
Then, when the students return to class the following day, they APPLY this knowledge to the challenge problem posted on the GC as well as a worksheet for independent practice.
Reflection:
This lesson was fun to turn into a flipped model lesson. It's great to find something that ignites debate and discussion within the group. I loved the "Explore-Flip-Apply" model when translating a lesson to a Flipped Learning format. It was really quite an easy transition as I just used the videos that I would actually use in class and move to watch from home. This allows more time in class with my students; and, more time for meaningful discussion.
This type of lesson might ordinarily take quite a bit longer to get through because students would have to practice first without really having context. I love the possibilities that this types of teaching has to offer and I am excited to see how my students' engagement increases and content connections are made through discussion, collaboration, and debate.