Monthly Archives: June 2014

My First Class

I remember the very first time I stood up in front of a room of teenagers and asked them to do something.  I nervously gave them a scattered lecture on the intricacies of y = mx + b.  As I was talking they were writing down the things I was saying, and whatever I put on the whiteboard they also put into their notebook.  During the lecture I even asked the students some questions, and a few of them even raised their hands and offer up answers.  Next I told them to get out their workbooks and there was a huge rustling of paper as they actually did it.  I told them to go to section 5-4 and do problems #1 – 20 or something like that, don’t remember the exact numbers.  Either way, in unison the class asked me “which page number is that?”, I mean it was probably only two students but it felt like they were all asking.  I learned students prefer page numbers to section numbers.

At that point it was about answering individual questions.  So I basically just floated up and down the rows, or at least it seemed like I floated because I don’t remember hearing my footsteps.  Or maybe I just ignored them because the sounds in the room were really beautiful – I was hearing words I wasn’t used to hearing teenagers say, like “slope” and “intercept”.  And I was hearing words more familiar to me like “yesterday” and “that’s cool”.  The students all knew each other because it was the middle of the year.  I was just there for one day as a requirement before beginning a student teaching assignment.  I was a guest in their house.

At the end of the period they all turned in their papers to me – full of calculations and circled answers.  And their names were all at the top right even though I never asked them to do that.  Then a bell sounded and they all packed up and left.  I looked at their papers, more specifically their names, and thought about how cool it would be if I actually knew who they were.  If I was actually their teacher.

I was amazed at the whole experience.  And I’m not saying it was the ideal class, nor am I advocating for any particular teaching strategy – I’m just saying I was amazed.

Monomial Partners

“What’s your name, what’s your monomial?”

This is a great activity that was inspired by Matt Vaudrey’s Equation Speed Dating.  In this lesson each student gets to create their own monomial – which I constrained to having to be even and with a variable.  Then they break up their paper into three columns:  Partner / Our Binomial / Our Rectangle.  The students pick a partner and join each others monomials together to create “Our Binomial”.  Then they factor their binomial and represent it as a rectangle by labeling it’s dimensions and indicating the area.  I circulate the room and once it appears every group is finished, I have everyone get up and find a new partner.  I’m demanding here that all students get up out of their seats and move somewhere new.


After a couple rounds I started having them draw their monomial and their partners monomial as separate rectangles, and then draw them together.

I have been focusing on a geometric approach to factoring, so the rectangle column was a great addition to previous times when I have done this activity but only asked for the solution.

The column “Our Binomial” does a nice job reinforcing that a binomial is the combination of two monomials.

The Advice

Don’t require them to say “what’s your monomial?”, “do you agree that our binomials is….  “, but inspire them to say it by modeling it.  A lot of my students were saying it because I was giving them messages that anytime they get the chance to say “monomial” or “binomial” they need to take it.

Tell the students not to move onto a new partner when they are finished.  They need to wait until you tell them to switch partners.

Remind them that you are really counting on the partners to catch any errors! Because you can’t do the problems on the board since every pair is working a different problem.  “And yes, you are the partner I am counting on for someone else.”

“What’s your name, what’s your monomial?”   No that’s not a pickup line for Speed Dating…  or is it?