Skip to main content

Simplifying Rational Functions: The Row Game

Why do students hate factoring so much?  What is it that makes them swear they've never done it before?  We, as educators of Math 3 (or Algebra 2), know they've been factoring for years!  Alas, here comes the lesson on simplifying rational expressions.  And how does this happen?  By factoring, of course.

Now, I don't have any magic tricks for teaching factoring, but I do take the approach of "slow and steady/baby steps".  And while some days I give an exit slip to check progress, I would prefer some sort of an activity.  Enter: The Row Game.  You can pretty much use this method of formative feedback for any math lesson, but using it for simplifying rational expressions is one of my favorites.  

The instructions for row games look like this: Person A solves the problems in column A, while Person B solves the problems in column B. As you finish each problem, check your answer with the other person. The answers should be the same! If they are not, work together to find your mistake.  

Kate Nowak has shared many of these games in her blog under "Row Games Galore".  Thanks for sharing, Kate- you're a genius!

I loved this activity and was able to walk around and help students get past that "I hate factoring" phase and into the "this doesn't suck" phase.

~SSB

Comments

Popular posts from this blog

Exponential Growth & Decay Scavenger Hunt

Scavenger Hunts are always fun (and easy to grade). This particular one is all about applications of exponential growth & decay. My students seem to understand this topic really well, but I still wanted to provide more practice.  When I did this hunt originally, I created the cards with the answer on the front and the question on the back. Once I figured out how to copy and make it work, it was great because I could use the cards over and over again. However, they started looking old, and I lost some of the cards. So t his year, I placed the answer and question on the front. It made it so much easier to copy!  If you would like to try this in your class, here is a copy ! I included the solutions as well.  UPDATE: I created this activity and transformed into a remote version.  Remote Version: SE Scavenger Hunt               TE Scavenger Hunt ~RJ

Modeling Exponential Growth (M&M Activity)

I could present an application problem on the board, have the students plug into their calculator and find the exponential regression equation. However, I think that visualizing the growth is more effective, and allows students to see how fast something like cancer cells can grow. This activity provides a hands on experience with M&Ms while modeling real world concepts.  I found this activity here , but created my own (slightly different) version. I only had enough time for exponential growth, so I eliminated the decay portion.  I really like how students compare the equation that they found to the calculator's regression model. This activity also causes students to discuss each component of the equation, which I think is very important in AFM. Additionally, this brings up a great discussion regarding cancer cells. Do all cancer cells grow exponentially? If time allows, I like for students to do some research (using their phones) to aid with this conversation....

Limit Project

Well...we just got back into school after being out for almost 3 weeks because of hurricane Florence. Our school is okay, but there are many people out there suffering from losing so much. :(  I had planned on a project for Calculus before the storm but will have to put that aside until next year! We have just lost too much time. However, I wanted to still share the project with you guys in case you would like to try it or something similar to it.   I like to make projects a unique experience. I hate when all students do the same thing. #1 - students can and WILL copy. #2 - It's boring to grade!  The idea of this project is floating somewhere on the web. I honestly can't remember where I got the idea. But I have altered it over the years to meet the needs of my students. It has gone through many alterations, and I will continue to change things.  So it is not perfect!  The gist - students find a recipe that has at least 5 ingredients. (The recipe ...