I’ve known for a while that the day was coming when I’d be too old to battle a raging snowstorm on my drive in to work. I am a safe driver (if somewhat of a leadfoot) and have decades of experience driving in bad weather, including 15 years of commuting to work 185 days a year on the notorious Borman Expressway (the portion of I-80/94 in Lake County).
Until that day arrives I know that in winter I need to be prepared ahead of time for an e-learning day that may be called on short notice. Sometimes that is an assignment from our online math tool provided by our textbook publisher, other times a digital activity that may not necessarily involve computation.
Back in the embryonic days of e-learning in my area I created a Desmos activity for just that purpose, and it came in handy earlier this week when a snow day and a day off for bitterly cold temperatures bookended Martin Luther King weekend.
Rather than virtually teaching a topic I’d have to re-teach the folllowing day in person, on Tuesday I reached for Just Chillin’, a Desmos activity where my students investigate how temperature and wind speed affect the wind chill figure reported by forecasters.
The activity includes mathematical modeling, interpreting graphs, and using a model to make predictions, all kind of evergreen topics in algebra and beyond. After I set the scene with a couple of beach photos (one summer/one winter), students read an article outlining how Antarctic scientists tested their hypothesis that an increase in wind speed increased the rate of heat transfer.
Next I show them three points on a coordinate plane representing wind chill at three different air temperatures with a wind speed of 15 mph and ask them to determine the type of function suggested by the points:
The next screens ask them what temperature would combine with a 15 mph wind to create a minus-30 wind chill, or a minus-25 wind chill.
This is a skill I spiral back to often in activities, because it is a really good life skill in addition to being a state standard and a staple of testing. Also because it is an area where my students have historically struggled.
Then, a twist:
That point isn’t on the graph, which only contained temperature and wind chill data with a 15 mph wind. They have to take into account the relationship they saw from now five points on the graph, and determine how to estimate the conditions with a stronger wind. (Translate? Something else?)
That was a tougher challenge. They were pretty much guessing at this point. Although honestly, closer to correct than their responses to the questions where they were using a graph or equation.
I showed them the actual formula for wind chill, which involves two variables and is more complex that I needed the first part of this activity to be. So, kids, which variable (temperature or wind speed) has a greater effect on the wind chill, just from looking at the equation?
We haven’t quite reached rational exponents yet (next week) so I knew that 0.16 power was going to be about as clear as mud. So let’s look at the data a different way:
I was hoping they would zero in on rate of change given just the one row and column. The change in wind chill at 35 mph is pretty consistent per 5 degree change in temperature while the change slows rapidly as wind speed increases in the 5 degree column. Almost no one picked up on that. It may have been a factor of remote learning, it may be that they transposed the temperature and wind speed axis, but I didn’t get the traction I thought I would from this question.
So we closed with a couple questions putting the students in charge of “school”:
I appreciate that they are upfront and real with their responses. The last slide is the entire wind chill chart I excerpted earlier, with the “dangerous” level wind chills highlighted in a darker shade of blue. Those are the readings below minus-25, which not coincidentally is the traditional cutoff in many districts for calling off school.
That led to a quality conversation, which kind of rescued the day for me. In my experience, “what would you do if you were in charge?” is a winning question in a high school classroom. Probably something there about student voice and agency, if I had to guess.
All told, I was pleased with how the day went. My students stayed engaged on a Google Meet with me for pretty much an hour, which as my veterans of the remote teaching game know, is saying something. We did some math, I learned about their strengths and weaknesses with some foundational algebra skills, and the topic was obviously timely.
This class came to me at the semester from a teacher who left our building, so I also got to slowly introduce them to Desmos activities, problem-based learning, and “how we do math” in Room 130. Which is also a plus. Pretty positive e-learning day as I see it.
As an epilogue to the first graf way up there: parts of northwest Indiana got slammed with lake effect snow overnight. The band set up over communities a little bit to my east and they got literally two feet of snow today. Some roads won’t re-open for 24-36 hours according to reports I saw. I was right on the edge of the plume so right around the time I was starting the shower this morning and system snow moved out, the lake effect flakes started falling. And one by one, my local districts started calling for e-learning today. The roads were terrible. Meanwhile, my district was well outside the band and got about an inch of snow, if that.
Decision time.
A quick look at Google Maps and INDOT’s live web cams, and a swing around my socials told me the road conditions were lousy for most of my commute. What to do? My class was well set up for a sub if needed. I was in touch with a couple of my math colleagues who also drive in from a distance and we could see this was going to be a challenging drive, if not outright dangerous.
So I made the call.
Not gonna lie, the district’s attempt to cap sick days over a career factored into the decision. A sick day is basically Halloween candy under the proposed contract, like a timeout near the end of a half in football. Can’t take it with you. Might as well use it. Especially when weighing a sick day against a possible injury and car repair from an accident on snowy, slick expressways.
Easiest call I’ve made in a while. No regrets.