Function Auction

This yesteryear week, my Algebra 1 students started Unit three which is an introduction to all-things Functions.  Unit 4 is all most linear functions together with graphing.  So, Unit three is most how to correspond relations, how to determine if a relation is a function, how to notice the domain together with hit of a role from a tabular array or a graph, together with how to evaluate functions.  It's a prissy alter of footstep from the weeks together with weeks we've spent solving equations together with discussion problems galore.

I ended upward spending an entire 52 infinitesimal shape menstruum on representing relations.  This frustrated me because I idea it would alone locomote one-half a shape period.  But, you lot know how those things become sometimes...  The adjacent day, I introduced students to the Definition of a function.  We made a few examples together with non-examples inwards shape together.  Now, unremarkably when I would learn this lesson, my adjacent activeness would locomote a bill of fare kind where students sorted relations inwards to functions together with non functions.  In the past, this has ever been super frustrating because likewise many kids only sit down at that topographic point together with tell they don't know how to tell if something is a role or not.  So, I decided to set the bill of fare kind off until the adjacent twenty-four hours together with notice a exercise activeness to do to complete out the shape period.

Five minutes earlier shape started, I even together with then wasn't certain what this exercise activeness was going to be.  I wasn't super worried because I had a autumn dorsum alternative - mini dry out erase board practice.  But, I even together with then hoped I'd intend of something to a greater extent than exciting.  At the terminal minute, I idea dorsum to an activeness I had done every bit a start yr instructor - a solving equations review auction.  I decided I could easily tweak this together with arrive into a role auction.  Various relations would locomote set upward for auction.  Students would locomote placed inwards teams whose finish was to purchase every bit many functions every bit possible at the auction.



I chop-chop threw together some auction paddles using rulers, colored re-create paper, together with a stapler.  It only makes the bidding together with then much to a greater extent than fun!  :)

And, for an "auction catalog," I printed of a worksheet from the internet.  You could rattling easily brand your own, but I similar to do things at the terminal minute.  I liked this worksheet because it had tables, ordered pairs, graphs, together with mapping diagrams.

Since my desks are already arranged inwards groups of four, I made these into the groups for this competition.  I explained that at that topographic point would locomote an auction, together with each squad would locomote given $1,000.  The squad that purchased the most functions amongst their $1,000 would win candy.      


I asked how many students had been to an auction before, together with most had.  I asked them if they knew what an auction catalog was.  They didn't, together with several claimed cattle auctions don't convey those.

I passed out the "auction catalog" to each group, together with I purposefully gave each grouping alone ane re-create of the catalog together with then they would convey to piece of occupation together.  Then, I gave them a few minutes to await over the "catalog" together with create upward one's hear on which lots they would locomote bidding on.  It was together with then fun to walk only about the room together with sentry the kids justifying their reasoning to each other every bit they discussed which relations they wanted to purchase.  I intend I got a lot to a greater extent than twenty-four hours of the month out of my students yesteryear structuring the activeness inwards this means than if I had only set the problems upward one-by-one on the SMART Board.

After running the auction amongst my start Algebra 1 shape of the day, I decided the activeness needed a combat to a greater extent than construction to brand the auction run smoothly together with efficiently.  I instituted a minimum opening bid of $50.  And, I made it together with then each bid had to enhance the previous bid yesteryear at to the lowest degree $20.  This made things run much ameliorate for the residuum of the day.

Before running this activity, I intentionally did non innovate my students to the vertical trace of piece of occupation examine for determining if a graph is a function.  It was fun to meet several groups come upward up amongst the examine on their ain only based on the Definition of a role having precisely ane output for every input.

In 2 of the shape periods where I ran this role auction, 2 groups had purchased the same amount of functions.  Therefore, it's in all probability of import to come upward up amongst a dominion for how to interruption ties.  I similar to declare the grouping amongst the most coin left every bit the winner.

There was the fun-to-watch auction drama of groups non paying attending to what was beingness auctioned together with bidding because they idea nosotros were on a dissimilar problem, ane fellow member of the grouping raising the bid means higher than the other groupmates idea they should go, together with the smug looks of the members of ane grouping when they realize they are going to larn the role for the opening bid of $50 because all of the other groups intend it isn't a function.  Another favorite - a room soundless plenty to hear crickets when you lot inquire for opening bids for a relation that isn't a function.  :D  The kids came inwards the adjacent twenty-four hours begging to convey some other auction.  That's what I telephone band a successful, low-prep, high twenty-four hours of the month activity!


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