I was sitting during a break in my parent conferences last Thursday evening trying to decide what to do the next day in Precalc. I had a review packet for polynomials ready (because I refuse to teach them again to a group of honors kids who learned it last year) but I wanted to take a little break to do something fun.
And what's more fun than Desmos?!
We just finished a unit on conics (added in this year because it got lost in the common core transition) and I thought it might be a good time to play with the equations. I remembered Bob Lochel doing something with conics and desmos, so I checked out his blog and found his conics project posted.
I read through his requirements and made a few changes. Here's what I came up with:
The students' task: Create a picture using conics
1. Use at least one of each type of conic (hyperbola, parabola, ellipse, circle)
2. Incorporate color
3. Turn in both a digital copy and a hard copy
That's it! I was a little nervous about not giving them more guidelines but I wanted the students to be able to really play and create on their own. The projects are due on Friday but I've already gotten a few submissions, and I am super impressed!
Some of the students are going above and beyond what I expected - my current favorite is an owl whose wings flap. It definitely took some learning on the student's part (and mine!) to figure out how to tilt the wings [ellipses] so that they weren't just vertical or horizontal. And then she figured out the animation.
I started creating a google slideshow with images of the kids' work... I'm going to post it below. Right now there are only a few images, but remember this isn't due for 3 more days! As I add to the slideshow it should update below.
Thursday, October 6, 2016
I won't see 2 of my 3 Math 3 classes tomorrow because all of the juniors are taking a practice ACT, so last night I was trying to think of something I could do with my last period class.
Now I just need to make a decision!
Today I showed them how to create a scatterplot and perform a linear regression using the TI calculator and I thought it might be fun to do a regression with data that we gather ourselves. I did a little googling and wasn't able to come up with any good ideas, so I went to twitter.
Anyone have good ideas to generate quadratic data? About to do some regressions. #mtbos— Kristen Fouss (@Fouss) October 5, 2016
And, oh, the responses:
.@Fouss Plot a point in @geogebra. Turn on Trace Point & Record to Spreadsheet. Then drag point in a parabolic path. https://t.co/IN9sMTRiUp— Jen Silverman (@jensilvermath) October 5, 2016
@Fouss anything in or nearly in free fall. Grab a video clip and Tracker Video Analysis free software. I can talk you in from there.— Megan Hayes-Golding (@mgolding) October 5, 2016
@Fouss There is an article in this months MT on using students airtime (height vs. time) from just jumping to generate regression data...— Bob Batty (@batty314) October 5, 2016
@Fouss they used vernier video physics to record videos and plot data, I used in calc a few times. It is kind of cool!!!— Bob Batty (@batty314) October 5, 2016
@Fouss barbie bungee?— dan bach (@dansmath) October 5, 2016
@Fouss I meant barbie's height as f of time in free fall…— dan bach (@dansmath) October 6, 2016
@Fouss had students toss tennis balls in front of a wall last year, members of the class placed sticky notes on the wall to note where the— Rose Roberts (@MsRobertsRoom) October 5, 2016
@Fouss ball passed by. Then did height/distance from start measurements.— Rose Roberts (@MsRobertsRoom) October 5, 2016
@Fouss random radii in circles. Random rectangles with fixed width.— Steve Phelps (@giohio) October 5, 2016
@Fouss I will see if I have something made up. Randomize radii and collect (radius,area) data.— Steve Phelps (@giohio) October 6, 2016
@Fouss Recollection of words; more people recall those at the start and end a word chain, versus the middle. (Credit @AlexOverwijk not me.)— Gregory Taylor (@mathtans) October 5, 2016
@mathymeg07 @Fouss @jensilvermath Yes, those, and the rubber band cannon also generates quadratic data ...— Beth Ferguson (@algebrasfriend) October 6, 2016
@mathymeg07 @Fouss @jensilvermath Here's a link that doesn't require the cannon itself ... https://t.co/eKcs3nhufK I haven't tried this.— Beth Ferguson (@algebrasfriend) October 6, 2016
@Fouss you got an awesome set of replies! So many ideas!— Scott Leverentz (@scottmlev) October 6, 2016
Now I just need to make a decision!