Showing posts with label IQR. Show all posts
Showing posts with label IQR. Show all posts
Tuesday, October 31, 2017

How good tin you lot approximate thirty seconds?

How good tin sack yous approximate thirty seconds?  This is the inquiry I posed to my Algebra 1 students a duo of weeks agone every bit purpose of our unit of measurement on information analysis.  

My master computer program together with the computer program I carried out during get-go menstruum was to projection an online stopwatch on my SMARTBoard.  


I had all of my students unopen their eyes.  I told them the exact instant that I pressed "Start" on the timer.  Their task was to opened upwards their eyes when they *thought* thirty seconds had passed together with to tape the amount of fourth dimension that genuinely passed.  

This would in all likelihood have got worked only fine if my students hadn't been then excited past times this activity.  One of my students get-go hr opened his eyes, saw that he was at precisely thirty seconds, together with yelled out a scream of glee.  This, of course, caused my other students to opened upwards their eyes together with also orbit near-perfect results.  Not precisely what I was going for!  

For my ii afternoon classes, I pulled out my develop of OERB workshop.  I received an additional 6 timers from a local donor through the OK Education Needs Facebook group.  


Students were instructed to accept turns estimating thirty seconds inward PAIRS.  This took a chip to a greater extent than than twice every bit long every bit doing it every bit an entire class, but the information was then much to a greater extent than accurate!  



One pupil would unopen their eyes together with approximate thirty seconds spell their partner timed how long their approximate genuinely was.  Then, they would switch.  


Here's the information collection shape I gave students to gum inward their interactive notebooks: 


Silly me gave students a box titled "Your Time." In retrospect, this should have got been titled "My Time!"  Earlier inward this unit, I didn't give students a designated infinite to tape their information value.  This led to lots of confusion later on on.  Lesson learned!  


Another alteration I demand to brand for side past times side twelvemonth is to give students a specified house to write the information inward order.  I had to squelch this in, together with it would expect meliorate if it had a box of its own.


Students copied downwards the information from the other students inward their shape every bit I recorded it on the SMARTBoard.  We ended upwards rounding our times to the nearest 2d to brand calculations together with pretty much everything easier!  


After putting our information inward companionship (see above!), I had students abide by the 5 release summary, IQR, together with cheque for outliers.

sixth hr discovered that 49 was an outlier.

For side past times side year, I would add together a inquiry to the bottom that asks if at that spot are whatever outliers.  When my students took this quiz, many of them struggled when I asked them to write a judgement explaining if at that spot were whatever outliers.  I demand to brand certain my students are writing downwards a judgement to justify the presence or absence of outliers each fourth dimension nosotros practice!

On the within of our booklet foldable, students were given infinite to brand a box-and-whisker plot, point plot, stem-and-leaf plot, together with histogram.


See that annoying trouble that the school's re-create machine position through my page?  My students were genuinely really excited virtually it because many of them used it to shape the release trouble for their box-and-whisker plot.  In the future, I volition give students a pre-printed release line.  Then, they volition entirely have got to produce upwards one's heed how to release their release trouble to capture all of the data.  This should relieve a chip of precious shape time!


I would render a pre-printed release trouble for the point plot, too.


I intend I mightiness genuinely have got them brand the point plot on top of the release trouble together with brand the box-and-whisker plot nether the same release line.  I did this amongst a Tenzi (affiliate link) activeness I have got notwithstanding to weblog about, together with it worked pretty well!


Since our information was then unopen together, my students together with I chose to brand a separate stem-and-leaf plot.  Originally, I idea my students would survive genuinely opposed to this alteration of the stem-and-leaf plot, but they popular off along suggesting fourth dimension after fourth dimension that nosotros separate the stems.  Many of them fifty-fifty chose to separate the stems on their quizzes!

Next year, I desire to position some graph newspaper inward the background to aid students trouble upwards their digits.  This volition also ensure that all of the digits goal upwards taking the same amount of space!


Finally, my students made a histogram from our information of estimating thirty seconds.  In the future, I would also position graph newspaper inward the background.  This should aid students brand all of their equivalent towers equivalent heights.

The file for this activeness tin sack survive downloaded here.

Dry Erase Workmat for Finding Five Number Summary, IQR, in addition to Outliers

My Algebra 1 students are inwards the midst of our next-to-last unit of measurement of the year: information analysis.  This is my showtime twelvemonth of teaching Algebra 1 where my students do non conduct keep to conduct keep an end-of-instruction examination inwards Algebra 1.  This way that I don't conduct keep to rush through concepts inwards club to conduct keep plenty fourth dimension to review for a essay inwards Apr fifty-fifty though schoolhouse doesn't exit until May.  Usually, our unit of measurement on information analysis is super-short equally a result.  

This year, I conduct keep plenty of fourth dimension to genuinely prepare my students' science at reading information displays together with creating their ain information displays.  Today, I desire to portion an action I created to give my students do alongside finding the v number summary together with IQR of a laid upward of data.  Students together with therefore used this information to cheque for together with position outliers.  

I started past times creating a workmat template inwards Publisher.  I purpose Publisher to do most all of the resources I postal service on my blog.  



I titled it "Identifying Outliers Practice," but it also gave my students do alongside finding the v number summary together with IQR.  Not certain what I could championship it to include those equally well...


I printed this workmat on 11 x 17 cardstock (affiliate link) that I slid into 1 of my 11 x 17 dry out erase pockets (affiliate link).  I conduct keep a laid upward of smaller, 8.5 x xi dry out erase pockets (affiliate link), too.  But, I prefer the 11 x 17 size (affiliate link) for partner work.      

I also created a laid upward of information value cards (1-36) that jibe just into the information laid upward boxes on the operate mat. 


Each laid upward was cutting apart together with placed inwards a tiny bucket from Dollar Tree. 


These stacked upward real nicely betwixt classes!



Like many activities I create, I ended upward modifying the action throughout the 24-hour interval to improve it together with become far to a greater extent than effective.  Originally, I had planned for each couple of students to curl a 12-sided move past times (from this set of polyhedra dice from EAI Education - affiliate link) to decide how many information values they should delineate from their bucket before starting.   


My idea behind having them curl a move past times was that I wanted them to larn used to how to bargain alongside quartiles when in that location are an fifty-fifty number of values together with an strange number of values.  

But, together with therefore my students were ending upward alongside information sets of 3, together with the information do only wasn't rigorous enough. 


For my afternoon classes, I did away alongside the die together with had each couple of students delineate 12 information values from their buckets.  This ended upward working soooo much better!  


As students worked, I circulated the room together with checked for errors.  In the motion-picture demonstrate above, the IQR should genuinely live 18.5.


As pairs finished, they would heighten their hands to conduct keep their calculations spot-checked.


One of the issues I didn't foresee alongside this action was that the bulk of students did non respect whatsoever outliers inwards their data.


It ended upward beingness okay because afterwards I cheque each pair's work, I would challenge them to do their ain information laid upward that had outliers.


This ended upward beingness the perfect extension activity!


I dear how much collaboration I tin terminate come across alongside my students inwards these pictures!


There are a few changes I would similar to brand inwards the time to come to this activity.


After students delineate their information values together with before they laid about doing whatsoever calculations, I would similar to conduct keep my students brand a prediction re: outliers.


Then, afterwards they complete all of their calculations, I would similar them to write a judgement explaining why or why non the information contains outliers.  My students genuinely struggled alongside writing a judgement to justify their outliers on their quizzes.  Need to start practicing that earlier!  


Additionally, I would similar to do a laid upward of "challenge cards" for students to operate through.  For example, each bill of fare would state them how many cards to select from the bucket.  Students mightiness randomly choice cards, or they mightiness choice specific cards to effort together with orbit a specific thing.


The file for this action has been uploaded here.


Monday, October 30, 2017

Looking for Outliers inwards the OKC Thunder

Today's lesson is brought to y'all amongst exceptional cheers to the OKC Thunder.  I chose to run information for the OKC Thunder because they are Oklahoma's entirely professional person sports team.  Oklahoma is only a lilliputian flake obsessed amongst them!   

Here's the handout I gave my students to mucilage into their interactive notebooks: 




I got the salary information from Basketball Insiders.  When my students started looking at the data, they were shocked that I had been able to abide by that information on the internet! 


Up until this indicate inwards the course, the entirely agency my students knew to position outliers was to eyeball them.  This was actually frustrating my students, in addition to they kept begging for a to a greater extent than definitive agency to come across if a information value was an outlier.  I LOVE that my students were begging for a method for identifying outliers.  I demand to abide by to a greater extent than ways to brand my students BEG for solutions inwards math class!  


Before spilling the beans in addition to telling them how nosotros cheque for outliers, I asked the course of written report to verbalise over who they idea must travel an outlier.  100% of the course of written report was absolutely certain that Russell Westbrook HAD to travel an outlier.  Some reasoned that Enes Kanter must also travel an outlier since in that place is such a big gap betwixt Taj Gibson's salary in addition to Enes Kanter's salary.  Others were non in addition to then sure.  

Then, the conversation got super interesting when soul suggested that nosotros powerfulness also convey outliers on the lower terminate of the data.  This was fifty-fifty to a greater extent than controversial than the conversation regarding Enes Kanter!  I had to halt the fence in addition to larn my students started on finding the 5 break summary.  


This was my students' kickoff fourth dimension e'er finding the 5 break summary for a information set.  Finding the minimum, median, in addition to maximum were a breeze.  Students were a flake confused yesteryear lower quartile in addition to upper quartile, but that confusion was rapidly cleared up.  


Next, nosotros constitute the interquartile range.  I must convey jumped likewise rapidly referring to the interquartile attain every bit IQR because when my students took their quiz, I got asked agency likewise many times what "interquartile range" meant.  As shortly every bit I said "IQR" they knew just what to create in addition to got correct dorsum to work.  Oops...  Maybe I should entirely telephone weep upwardly it "interquartile range" inwards the hereafter until students beg for an abbreviation!  


Defining outliers every bit beingness to a greater extent than than 1.5 IQRs exterior of the upper quartile in addition to lower quartile results inwards ii outliers: Russell Westbrook in addition to Enes Kanter.

My students ended upwardly beingness engaged throughout this activity.  They seemed truly interested inwards finding out which players were outliers.  

One educatee begged me to await upwardly information for other sports teams for their quizzes.  He said that if I used his favorite teams I would travel his favorite instructor ever!  

Files for this lesson are uploaded here.  




Saturday, October 28, 2017

Monday Must Reads: Volume 4

Things convey been pretty placidity on the spider web log front end since the last book of Mon Must Reads. I had multiple posts I wanted to write, but I had to exercise some tough dear in addition to non allow myself write whatever to a greater extent than spider web log posts until my nation instructor of the twelvemonth application was finished. I'm cheating a flake past times writing this spider web log postal service today because my application withal isn't technically finished, but it's finished plenty that I could submit it if it wasn't for my perfectionism. I've withal got lots of edits to brand on my vii (!) essays. It turns out that my writing agency is a flake to a greater extent than wordy than what the commission is looking for.  Each essay has a maximum length of solely i or 2 double-spaced pages amongst 12 signal font in addition to i inch margins. That's non a lot of room!



I approximate I do demand to truly brand lift on this spider web log that I was named both Drumright High School's Teacher of the Year in addition to Drumright Public Schools Teacher of the Year. The showtime award came amongst a cheque for $500 in addition to the mo award volition come upwardly amongst an additional $500 cheque in i lawsuit my Oklahoma Teacher of the Year application is submitted.



Without farther ado, hither are the spider web log posts in addition to tweets that I considered to live must reads this week.

Teach180 tweets. The snapshot she provides into her classroom is incredibly inspiring, in addition to I detect myself wanting to live a educatee inward her class!  In a Teach180 tweets from the year. This classroom highlight reel is a process to read!  And, you lot should definitely catch joining inward adjacent twelvemonth amongst the #Teach180 hashtag.  I mightiness fifty-fifty convey to pocket Liz's persuasion in addition to create my ain spider web log postal service amongst my favorite tweets of the year.  What an incredible agency to reverberate on the halt of i schoolhouse twelvemonth every bit nosotros start to laid for the next!



Norma Gordon created an awesome #SmudgedMath action involving interquartile hit in addition to box-and-whisker plots. I dear the educatee thinking required inward an action similar this.  Norma's #SmudgedMath tasks tin live downloaded here.


Yah Lee's recent tweet virtually using a visual to assistance students solve equations has got me thinking a lot virtually how I desire to approach solving equations amongst my Algebra 1 students adjacent year. Last year, I used a combination of the menses nautical chart method in addition to the traditional approach. I would dear to acquire away from the traditional approach, but I likewise desire to brand certain that whichever approach I purpose tin live used when in that place are variables on both side of the equal sign.



I'm non certain this tweet from Fawn Nguyen needs an introduction. #TRUTH


Probability Bingo. My students dear this game in addition to acquire super competitive every fourth dimension nosotros play! Liz Mastalio late flora a agency to cook i of the most annoying aspects of the action past times using shapes instead of colors. It's in addition to then much easier to create 2 die for the action past times gluing on shapes instead of trying to color the die in addition to dealing amongst the colors rubbing off. Yes, I utter from experience.  




Mr. B's tweet caught my optic because it helps illustrate a solution to a occupation many of my algebra students have. Most of my students tin solve this type of occupation inward their heads, but I've never been truly certain how to assistance those students who acquire by to empathize where the missing value is coming from. 


I late had my showtime breakout box sense every bit business office of the Tulsa Math Teachers' Circle. I've been toying amongst using the persuasion inward my ain classroom, but I didn't desire to pass a lot of coin on a bunch of unlike locks. Nick Waldron created an action that caught my optic because it allows students to do lots of math practise but solely requires a unmarried lock.


I dear using logic puzzles inward my math class, but I oft convey issues amongst students trying to do a puzzle without showtime fully agreement the rules. Molly Rawding's novel approach to introducing KenKen puzzles is a bright agency to solve this problem!


If I e'er acquire the endangerment to learn statistics again, I definitely desire to detect a agency to acquire my hands on some of these stats stencils that Will Davies tweeted about.  Can you lot tell I'm a flake anxious virtually the fact that I don't know what classes I'm instruction yet for adjacent year?



Jennifer Michaelis is making me wishing that I could learn trig in i lawsuit again adjacent year. How awesome are these plexi-glass graphs that allow for instant trig graph transformations?!?


For the iv years I taught Algebra 2, I taught my students that roots, solutions, zeros, in addition to x-intercepts were all the same thing. Today, I learned the truth cheers to David Butler. It makes in addition to then much sense, in addition to I wishing I could perish dorsum in addition to re-teach my one-time students why in that place are in addition to then many unlike words. Special cheers to Matt Enlow for taking David's tweet in addition to turning it into a catchy image! 


And, here's Matt's awesome visual of this: 

Image Source: https://twitter.com/CmonMattTHINK/status/866677313743835137/photo/1

And, that's all of the spider web log in addition to twitter awesomeness I convey until adjacent time.  Remember, my Mon Must Reads postal service may acquire a flake sporadic over the summertime due to other obligations.  Keep sharing, #MTBoS!