Showing posts with label Statistics. Show all posts
Showing posts with label Statistics. Show all posts
Friday, November 3, 2017

Practice Finding Measures of Central Tendency past times Playing Tenzi

Disclosure: This postal service contains affiliate links. 

I dearest a expert die game.  I've blogged earlier near playing Farkle alongside my students.  I don't recall I've ever gotten some to blogging near it, simply my hubby as well as I dearest playing statistics course.  This year, I decided to contain Tenzi (and a variant of the game called Splitzi) into Algebra 1's unit of measurement on Data Analysis.  

So, what is Tenzi?  

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It's a die game that comes inwards a bully tube.  I received my Tenzi game for either Christmas or my birthday.  The subway scheme contains 4 sets of 10 dice.  Each laid of die is a dissimilar coloring to brand them easily differentiated.  This volition allow 4 people to play.  

Tenzi also produces a Party Pack version that volition allow vi people to play at once.  

   

One of the things I dearest most near Farkle, I discovery myself explaining as well as re-explaining as well as re-explaining again.  With Tenzi, my students are ready-to-go afterward a unmarried explanation!    

Every histrion is playing at the same fourth dimension which keeps the game fast-paced.  This agency students don't convey fourth dimension to goof off or acquire distracted!  After i of the players says "Go!" all of the players coil their 10 dice.  The goal of the game is to acquire all of your 10 die to exhibit the same number.  Players examine their die to determine what value to coil for.  Dice showing that value are laid aside.  Dice showing a dissimilar value are re-rolled until all 10 die exhibit the same number.  The firstly histrion to acquire all 10 die showing the same number yells "Tenzi!"  That ends that round.  

Even though the game's rules are super-simple, the game is withal fun as well as quite addictive!  I've played the game alongside groups ranging from my husband's describe of piece of job solid unit of measurement to a grouping of middle-aged women at a Bunco number to my students.  It's e'er sum of fun as well as laughter.  

To spice the game upwards as well as continue you lot on your toes, the makers of Tenzi convey created dissimilar variations of the game.  There is an entire page on their website dedicated to these variations. 

Here are some of them:  (Image Source



I decided to run the master copy Tenzi game as well as the Splitzi variant to aid my Algebra 1 students do finding the mean, median, mode, as well as arrive at of a information set.  

To aid them organize their data, I created a sail for them to gum into their interactive notebooks when nosotros were finished.  


To brand the game suitable for information collection, I had my students non solely race to attain Tenzi earlier the other people inwards their group, simply they had to count the number of rolls it took them to attain Tenzi.  Some of my students would acquire as well as therefore caught upwards inwards trying to win that they would forget to count their rolls!  


Students played 8 rounds as well as recorded the number of rolls they required to attain Tenzi each round.


Another alteration I had to brand to Tenzi to acquire far piece of job for information collection was to require every unmarried histrion to continue rolling until Tenzi was reached.  In the actual game, game play ceases afterward soul yells "Tenzi!"


After students finished playing 8 rounds, they had to discovery the mean, median, mode, as well as arrive at of their data.


Of course, my VERY competitive students had to compare their measures of key style alongside i another!


Next, I taught my students the Splitzi variant.  Instead of rolling your die until all 10 exhibit the same value, you lot must coil your die until v of your die exhibit i value as well as the other v of your die exhibit a dissimilar value.


I asked my students to predict if it would live easier or harder to attain Splitzi than Tenzi.  


My students were pretty divide on their opinions near this matter.  Some insisted Splitzi would live easier.  Others insisted it would live much harder.  I told them that nosotros would discovery who was correct past times analyzing our data. 


In the future, I would add together a writing assignment to this activity.  I would convey my students write a hypothesis earlier start to play Splitzi. 


Then, they would demand to write a paragraph describing their findings.  Students would demand to include prove for each finding.  


I won't spoil the fun as well as portion our findings.  You'll convey to play for yourself as well as discovery out!  


After doing this action alongside 3 dissimilar flat periods, I learned a few tricks as well as tips I should in all probability share.  

Put each laid of 10 die inwards a plastic cup.  These cups volition stack as well as rest semi-organized throughout the day.  Students tin forcefulness out run the loving cup to aid them coil their die if they choose.  



For large flat sizes, the audio of the die hitting desks tin forcefulness out live almost deafening.  We played Tenzi at the terminate of i flat catamenia as well as Splitzi at the start of the adjacent flat period.  To continue myself from losing my hear from the audio of the dice, I had my students play Splitzi on the floor. 


I approximate that's why the instructor I did my pupil education alongside vi years agone had foam dice!  

The makers of Tenzi convey created a deck of 77 variations of the game.  I expect forrard to using some of these variations when nosotros start our science on comparison information sets.


I desire to convey my students motion through stations that each characteristic a dissimilar version of the game.  They volition count the number of rolls needed to attain the goal.  Then, I volition convey them house a sticker on a point plot for that version.  This volition allow us easily compare the dissimilar versions of the game.  So excited to come across what nosotros discover!

The file for this Tenzi/Splitzi action is uploaded here.



Thursday, November 2, 2017

Always, Sometimes, Never amongst Measures of Central Tendency

Recently, I tried out the Always, Sometimes, or Never? exercise construction amongst my Algebra 1 students.  We used this equally a last-minute review earlier our quiz over finding measures of key tendency.  

I gave students this laid of xi problems.  They were allowed to dyad upwardly to function through the problems.  I laid a timer on my telephone for five minutes.  Students worked inwards pairs without whatever aid from me during these five minutes.  


After the timer went off, nosotros went through each problem.  Groups shared their initial thinking, as well as thence the disagreements started!  I dear when my students disagree inwards math degree because it way they are thinking as well as explaining their thinking.

It was awesome to run across students alter their minds equally their immature human being students shared sets of numbers that disproved their hypotheses.

I definitely desire to contain this exercise construction into my classroom on a to a greater extent than regular basis.

One of my twitter friends suggested that I ready 3 sections of the room to signify Always, Sometimes, as well as Never.  Instead of having students but say their answers, they convey to physically movement to stand upwardly inwards the department that represents their thinking.  Then, students percentage their thinking.  Students maintain to percentage their thinking until the degree comes to a consensus as well as is standing inwards the same area.  Doesn't that audio awesome?!?

I've uploaded the file for this activeness here.  The Always, Sometimes, Never statements are non original.  I establish them on page 135 of this PDF.  I volition likely modify the questions earlier using them again.  My students were quite miffed that in that place ended upwardly beingness thence many "Sometimes" equally the right answer!  


Tuesday, October 31, 2017

Guessing Correlation Coefficient Game

State testing has thrown my teaching off then much lately.  I unremarkably stimulate to continue all of my Algebra i classes inward the same place, but that only hasn't been possible these by few weeks.  

Algebra i is currently working amongst scatter plots in addition to regression.  My sixth threescore minutes course of pedagogy finished super-early compared to my other classes, then I pulled upwards a game on the SMARTBoard that asked them to approximate the correlation coefficient of a scatter plot.  

Here's the link to the website I used.  The website loads iv dissimilar scatter plots. 


The iv scatterplots each accept the same iv choices, then it is essentially a matching activity.  I actually similar that the site tells you lot the historical risk of fault below each problem.  


I had students volunteer to come upwards up to the front end of the classroom in addition to play along.  Each pupil would click their answers on the SMARTBoard in addition to click "Check answers." 


If the pupil got all iv answers correct, he/she got to pick a slice of candy out of my prize bag.


My kids got actually into this activity.  Even the kids who weren't playing at the SMARTBoard were next along.  There were numerous times when a shaver inward the audience gave the mortal at the board a actually big hint.

I definitely desire to include this equally business office of my principal curriculum adjacent yr instead of a random filler activity!

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

Highlights Hidden Pictures Activity for Comparing Data Sets

Today's weblog post service was inspired past times Cheryl Leung together with Where's Waldo? (affiliate link) 


I loved this idea, simply I had a problem.  My Where's Waldo? (affiliate link) books from my childhood are long gone. I considered ordering a few from Amazon, simply I needed them sooner rather than afterward for class.  

Now, it's fourth dimension for a fun fact.  Did y'all know that dissimilar countries stimulate got dissimilar names for Waldo?  The actual advert of the franchise is "Where's Wally?"  The books were released inward the USA every bit "Where's Waldo?"   I establish this nautical chart of dissimilar names for Wally/Waldo from Wikipedia to live rattling interesting! 


I couldn't brand this activity run amongst Waldo for this year, then I started brainstorming other ideas.  That's when I remembered sitting inward the dentist's purpose every bit a kid staring at the hidden pic puzzle inward Highlights Magazine.  

Lucky for us teachers, Education World features gratuitous PDF downloads of 12 hidden pic puzzles from Highlights.  

I printed off each of the 12 pictures together with used the snipping tool to cutting out i of the images to search for inward each picture.

  


I printed ii sets of each pic together with ii sets of the cards amongst pictures to find.  The cards were laminated together with cutting apart.  Then, I assembled them into pic finding packets using the clear plastic sleeves that I blogged most inward this post.  


I tried out a packet of Avery Corner Lock Document Sleeves (affiliate link), together with they are absolutely perfect.  They are pretty much identical to the Avery Plastic Sleeves (affiliate link) that I ordered before inward the year, simply they stimulate got a colored corner that locks papers inward place.  


Students were given a plastic sleeve (affiliate link) amongst a hidden pic puzzle together with a carte amongst a pic to locate within the puzzle, a MyChron timer, together with a information recording canvas to gum into their interactive notebooks.  


   

These MyChron timers (affiliate link) have gotten then much usage this year.  I dear that my students remain focused on their information collection instead of getting distracted past times incoming notifications on their phones!  


Here's what the notes I created for our interactive notebooks ended upward looking like.  The forepart of the foldable has a infinite for students to tape their fourth dimension for finding the hidden exceptional inward each picture.  


Then, students write their times inward order, uncovering the 5 position out summary, together with cheque for outliers.  

The within of the foldable has them practice a box-and-whisker plot for their information together with the information of 3 of their classmates.  Then, they are given infinite to write a paragraph comparison together with contrasting their hidden pic finding skills to those of their classmates.    


I had anticipated that this activity would accept one-half of a fifty-minute shape period.  It genuinely ended upward taking an entire fifty-minute shape period.  We did this on a twenty-four hr catamenia where around one-half of the shape was absent due to a runway meet, then I was fine amongst moving at a slower measuring since then many students would postulate to larn caught upward anyway.

When I practice this activity again, I mean value I volition bring down the position out of hidden pictures from 12 to mayhap 8???  I mean value that having to a greater extent than information points gives us to a greater extent than interesting information to examine, simply some of my students had a genuinely difficult fourth dimension finding the hidden pictures. One pupil spent xiii minutes of shape looking unsuccessfully for i of the hidden pictures.  He exclusively establish it after I gave him a HUGE hint.  I desire them to collect data, simply I don't desire information collection to overshadow the finish of this lesson: comparison information displays.

Here are some activity shots of my students completing this activity.









I await frontward to farther refining this activity inward the future.  Maybe I should practice the activity myself together with allow the students compare their pic finding skills to mine???

The files for this activity tin move live establish here.