Teaching High School Mathematics
I’ve created a linear graphing activity that was super fun. The kids enjoyed it and I had a great time too.
Here is the pdf of the worksheet: graphingauction
I just did the activity today, 11/2/2016, and here is how it went:
Students were in teams of 3-4. The key is how many teams there are for the equations listed. I had 7 teams in my classes and none of the team were able to purchase lines so that they had a point with three lines through it. If I want that to happen, then I need to create some lines that go through three points but don’t go through many other points to keep their price down. Or create a smaller number of groups.
I gave every student a paper and allowed them to investigate the equations for 20 minutes prior to the auction.
Each group was allowed $100 to spend on equations during the auction.
If they don’t win an equation they really want, they can purchase it for $10 more than the winning bid price. This worked well for teams that made it to the end and still had money.
The teams then graphed their lines on a team paper I handed out and they added up their totals.
5th Period Totals: 70,75,75,85,85,85,100
6th Period Totals: 50, 60, 80, 105, 120, 140, 155
Ultimately this is about practicing graphing linear equations, but it was interesting to watch their bidding strategies as well. In both classes a group spent way too much on a good equation early. It made me think that I should put the better equations last, like a real auction. One group spent $100 on one equation and was done. One group waited until the last 3 equations to try to get them for cheap, but didn’t realize that some other groups still had money and then couldn’t get the equations they wanted.
The class wants to do this again… I’m thinking that we could do it where they provide any 5 equations they want with no auction, or do the auction and they get to add an equation of their own at the end for no cost. Another option would be to do it again with quadratics.
Graphing Auctions!!! I’m loving it!