Showing posts with label interactive notebook. Show all posts
Showing posts with label interactive notebook. Show all posts
Sunday, November 5, 2017

Organizing my Desk Drawer

I'm non certain just why, just a lot of my spider web log readers appear to acquire the impression that I'm super-organized.  I'm nearly definitely not.  (Though, I am trying to give-up the ghost to a greater extent than organized!)  

Here's a prime number representative of my disorganization.  Behold, my desk drawer!  


And, this moving-picture present was taken alone a span of weeks later I had done a consummate overhaul/re-organization of this drawer.

I don't know if you lot tin say or not, just at that spot are desk organizers inwards this drawer.  Obviously, they weren't working.  I had to a greater extent than materials than would correspond inwards the organizer.  Thus, the organizer was alone taking upwards space.


One of the things I learned from reading The House that Cleans Itself by Mindy Starns Clark (affiliate link) is that I demand to create systems that function for me instead of systems that are equally good difficult for me to maintain.  I honey that I tin apply these same principles to assistance me give-up the ghost along both my identify as well as my classroom clean!

I ended upwards ordering roughly render baskets from the Achieva brand (affiliate link).


Here are (affiliate) links to the baskets I used for my desk drawer make-over.


I honey that these baskets are withal height.  This allowed me to construct a modular pattern of organizers to accept upwards equally much of my drawer infinite equally possible.

And, here's the finished product:


Now when I opened upwards my drawer, it's super slow to position materials dorsum where it belongs.  This agency my desk stays corking as well as tidy.

Another perk of this system?  I tin describe out my handbasket of pretty pens as well as railroad train it on my desk when working on my interactive notebook pages.  Then, when I'm done, the handbasket slides correct dorsum into my desk drawer.




Step-by-Step Directions for Factoring Polynomials Using the Box Method

When I posted my interactive notebook pages for our Algebra 1 unit of measurement on Polynomials, I said that I was going to post service step-by-step photographs of how to role the box method to constituent polynomials.  Here's that post.  

Begin past times drawing a box.  Quadratic trinomials require a 2 x 2 box for factoring.  This box volition besides run for divergence of squares factoring.  


ALWAYS cheque to come across if y'all tin constituent out a GCF from the polynomial first.  If y'all can, this goes inwards forepart of the parentheses inwards your answer.  This year, I added a infinite betwixt the equal sign together with the foremost parenthesis to compass students a house to write the GCF.

There isn't a number that divides evenly into 2, 11, together with 5, together with therefore nosotros tin skip this step!


The x squared term is written inwards the overstep left mitt box.  The constant term is written inwards the bottom right mitt box.  Students should live on used to this equally a upshot of lots of multiplying polynomial problems using the box method!


This takes aid of the 2x^2 together with the five from 2x^2 + 11x + 5.  The 11x term tells me that my 2 missing boxes add together to 11x.  I possess got my students depict an arrow together with write this fact adjacent to the arrow.


We know from examining patterns amongst multiplying polynomials that are 2 missing boxes multiply to the exact same value equally the 2 boxes nosotros possess got filled in.

This agency nosotros are looking for 2 price that add together to 11x together with multiply to 10x^2.


Those 2 price are 10x together with 1x.  Write those price inwards the missing boxes.


Now, we're almost done.  We quest to figure out what to lay on the exterior of our boxes to compass us these multiplication results.  I possess got my students get past times picking 2 boxes together with finding the GCF of those 2 boxes.

For example, the GCF of 2x^2 together with 10x is 2x.  So, I tin write 2x on the exterior of those 2 boxes.


Similarly, x is the GCF of 2x^2 together with 1x.


five is the GCF of 10x together with 5.


And, 1 is the GCF of 1x together with 5.


At this point, I instruct my students to ever terminate together with double cheque that their multiplication is correct.  Every i time inwards a while, at that spot volition live on an number amongst positives together with negatives that needs to live on cleared up.

Once everything is double-checked, it's fourth dimension to write the answer.  Since nosotros didn't possess got a GCF to constituent out at the beginning, nosotros don't quest to worry almost putting a value inwards forepart of the parentheses.  The price from the side of the box (2x together with +1) learn inwards i laid of parentheses.  The price from the overstep of the box (x and +5) learn inwards the other laid of parentheses.  We possess got successfully factored a quadratic trinomial!


Let's get unopen to other one!


First, nosotros quest to cheque together with come across if nosotros tin constituent out a GCF.  10, 80, together with seventy are all divisible past times 10.


When I separate all 3 price past times 10, I am left amongst x^2 + 8x + vii to factor.


I'm going to learn ahead together with possess got the 10 I factored out together with lay it inwards forepart of the parentheses for my end answer.


My x^2 term goes inwards the overstep left square.  My constant of vii goes inwards the bottom right square.


My 2 empty boxes must add together upwards to 8x.


Lots of price add together upwards to 8x, together with therefore I quest to a greater extent than information.  I know that my 2 missing price multiply to the same value equally the 2 given terms.  So, I'm looking for 2 price that add together to 8x together with multiply to 7x^2.


Those 2 price would possess got to live on 7x together with 1x.  So, I write those inwards the missing boxes.


Now, I start looking for the values that learn on the exterior of the boxes.  The GCF of x^2 together with 1x is x.


Similarly, the GCF of x^2 together with 7x is x.


The GCF of 1x together with vii is 1.


And, the GCF of 7x together with vii is 7.


Now, I quest to terminate together with double cheque that all of my multiplication industrial plant out correctly.  If it does, I'm hit to write my end answer.  The 10 is already written exterior my parentheses.  The x and +1 from the overstep of the box learn inwards i laid of parentheses.  The x and +7 from the side of the box learn inwards the other laid of parentheses.


We've finished unopen to other problem!  I possess got i to a greater extent than instance I desire to exhibit you.  I don't learn factoring divergence of squares equally a separate topic.  I brand my students role the exact same box method.  This keeps factoring the divergence of squares from seeming similar a "trick" to memorize.

x^2 - xvi tin live on rewritten equally x^2 + 0x - 16.


There is no GCF to constituent out.  So, I tin write x^2 inwards the overstep left box together with -16 inwards the bottom right box.


The middle 0x term tells me that my 2 missing boxes add together to 0x.  At first, students ALWAYS yell back this is impossible.


The 2 boxes that are given multiply to the same value equally the 2 boxes that are missing.  So, I know I am looking for 2 price that add together to 0x together with multiply to -16x^2.


Those 2 price would live on -4x and +4x.  So, I quest to write those inwards my empty boxes.


x^2 together with -4x possess got a GCF of x.


x^2 together with 4x besides possess got a GCF of x.


The GCF of -4x together with -16 is -4.


Meanwhile, the GCF of x^2 together with 4x is 4.


So, I tin write my respond using the x +4 from the side together with the x -4 from the top.  x^2 - xvi is the same equally (x+4)(x-4).


And, that's the beautiful box method.  I promise this step-by-step explanation has helped clear upwards whatsoever questions y'all mightiness possess got had almost how the box method works.  If y'all withal possess got questions, delight move out them inwards the comments!

Saturday, November 4, 2017

Mean, Median, Mode, as well as Range Notes for Interactive Notebooks

You may convey caught a sneak peek of these notes over finding mean, median, mode, together with make inwards my blog post service well-nigh creating pockets for your interactive notebooks.

When my Algebra i students constitute out that our adjacent unit of measurement was starting out amongst a review of finding mean, median, mode, together with range, they promptly informed me that nosotros didn't remove to review it because they've been learning well-nigh it since the 5th grade.  Given how frequently I convey had students reference these notes, I volition nation that I create recollect they needed the review!



Our notes for mean, median, mode, together with make were placed inwards a nifty pocket.  Some students chose non to brand a steal together with instead stapled the pages together at the overstep together with glued inwards the bottom sheet.  I told them that they could seat them inwards their notebook using whichever method they preferred.


Notes for Finding Mode:


Notes for Finding Median:


Notes for Finding Mean:


I had my students create a Don Steward activeness to conk them thinking well-nigh hateful earlier nosotros started these.  Of course, the puzzle didn't elevate the give-and-take hateful anywhere on it.  You tin read to a greater extent than well-nigh this puzzle here.


Notes for Finding Range:


Files are uploaded here.

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.