Partner Round Up: A Revisit

I will never stop obsessing over how easy it is to take a "worksheet" and turn it into an interactive partner activity that is rich in practice and mathematical discourse. Truly, the magic of what I call "Partner Round Up" just never seems to dim in its ability to impact student learning and increase engagement. 

I've posted about this activity before at the junior high level but wanted to share an update in a high school setting. I had the opportunity to try this out with a new content during a coaching cycle with one of our College Algebra teachers. She was working on transformations of parent functions and wanting students to recognize that the patterns of transformations were consistent with many different parent functions. 

We created about 20 cards (with repetition) with parent functions like this:

And then another set of 20 cards with transformations represented in a few different ways:

Students pair up so that a person with a parent function card works with a person with a transformation card. I like to color code them, so we all know what's going on.

Students had a worksheet to keep track of everything where they were asked to graph the new function and write the correction equation after the transformation. 

The real beauty is that after each partnership is done transforming their parent function, they switch cards and find a new partner. So, if a student just graphed a square root function, they would graph another square root function with new transformations and get to be the "expert" with that function. If a student just shifted a function down and applied a vertical stretch, they get to do that exact same thing with a new function. The back-to-back repetition without getting boring is... chef's kiss. Just perfection. 

There were a few partnerships that got a little wonky in the best way, especially with rational functions. Those conversations that start out with "is this one possible?" are gold and totally worth including just for the intentional cognitive struggle.

 

Our job as teachers? We facilitate. We walk around spot checking answers and answering questions. Every so often we may shout "We've got a parent function looking for a transformation partner!" to help the partnerships move along. But mostly we "ohhh" and "ahhh" and listen to students share connections with each other. We may provide a little "Oh, that's interesting! Now why is that?" and then walk along, allowing time and space for students to think and process.

It's just the best day.