There is a great question on Twitter today about dividing fractions.  I created this to share my thoughts.  Just think of how excited this teacher was when she discovered this pattern!  She posted it on social media, then planned another lesson around it.  This was during a holiday!  

Just imagine the excitement of your students when they make the same discovery!  

Instead of telling them and stealing that joy, give them problems to model and solve that might lead to students discovering this pattern for themselves.  We want students to look for and find patterns!

Next, students must prove their patterns!  The picture gives some ideas for questioning in this case.  The important part is that students are doing the thinking!  

If you want a full-sized copy, you can save this to your google drive: https://docs.google.com/presentation/d/1qk99kbMgKnzjMv3tqPnclLhZgUvxnUtWurEIJxm_aJ0/copy

How would you explain it?  I would love to hear other ideas!  Submit your comments below!