Order of Operations

Showing posts with label Order of Operations. Show all posts
Showing posts with label Order of Operations. Show all posts
Monday, October 30, 2017

Filing Cabinet: Volume 1

I've spent a lot of fourth dimension lately organizing my activities inward private pockets that I shop inward a filing cabinet yesteryear my desk.  I blogged nearly how I'm keeping to a greater extent than organized this twelvemonth here.


So, I've decided to start a novel weblog serial where I part alongside you lot a peek into my filing cabinet.  Each book of this serial volition include 4-6 activities from my filing cabinet.  I'll either part alongside you lot the files I created or part where I works life the resources online.

I promise you'll relish this peek into what goes on inward my classroom!  As of now, my conception is to part the activities inward alphabetical order.  That way you're stuck alongside my number-based activities today. :)

1-100 Challenge from Sara VanDerWerf

This year, I tried Sara VanDerWerf's 1-100 Challenge for the get-go fourth dimension on the get-go twenty-four hours of school.  It was a huge hit!  My students were SUPER-engaged, together with it was a groovy springboard to hash out what groupwork should await like.  You tin hand notice larn to a greater extent than nearly this post service at puzzle site.  I created a printable version using Publisher.  Then, I printed together with laminated them to brand a shape set.  

  
I hand my students 3 challenges.

Challenge 1: Make a Square Using Exactly 1 Piece
Challenge 2: Make a Square Using Exactly 4 Pieces
Challenge 3: Make a Square Using Exactly v Pieces (No overlapping!)

I blogged nearly this puzzle inward to a greater extent than exceptional here.  You tin hand notice every bit good detect a link to download the file together with brand your ain set.  My students unremarkably bring no occupation doing Challenge 1 together with 2.  Challenge 3 turns out to move a existent challenge.  And, I unremarkably exclusively bring 1 or ii students figure it out.  Whenever I move these alongside my students, I unremarkably bring to ready a timer to permit them know when nosotros volition stop.  Otherwise, they volition desire to cash inward one's chips on going, together with we'll never acquire to our lesson!

24 Game

I honey the 24 Game, together with therefore I was super excited when I works life a PDF version alongside here.  The destination of the game is to brand the let on 24 from the iv given numbers.  You may add, subtract, multiply, or separate the iv numbers.  Parentheses may every bit good move used.

You tin hand notice buy dissimilar types of 24 Games from Amazon (affiliate link).  Last month, my hubby together with I played a span of rounds of Double Digits (affiliate link) against each other, together with around of the problems were super-tricky fifty-fifty for us math teachers!  This is a groovy action to move to reinforce the lodge of operations.

  
Here's the costless printable version I works life online:

5-4-3-2-1 Challenge

This challenge was inspired yesteryear a puzzle posted yesteryear Will Shortz on NPR's website.  The destination of the occupation is to move the digits 5, 4, 3, 2, together with 1 (in that order) to produce every bit many numbers betwixt 1 together with xl every bit possible.  You tin hand notice add, subtract, multiply, together with separate the numbers.    

I created around recording sheets for my students to move to receive the puzzle.  This is around other groovy puzzle to do using the lodge of operations.


I every bit good made a poster-sized version for a full-class activity.  


I've posted all of the files I created for this action here.  My students actually enjoyed the challenge.  I used it alongside both my lowest math shape (9th graders non notwithstanding produce for Algebra 1) together with my highest math shape (trig).

Hope you've enjoyed this peek at around of the activities inward my filing cabinet!

Saturday, October 28, 2017

Filing Cabinet: Volume 1

I've spent a lot of fourth dimension lately organizing my activities inward private pockets that I shop inward a filing cabinet yesteryear my desk.  I blogged nearly how I'm keeping to a greater extent than organized this twelvemonth here.


So, I've decided to start a novel weblog serial where I part alongside you lot a peek into my filing cabinet.  Each book of this serial volition include 4-6 activities from my filing cabinet.  I'll either part alongside you lot the files I created or part where I works life the resources online.

I promise you'll relish this peek into what goes on inward my classroom!  As of now, my conception is to part the activities inward alphabetical order.  That way you're stuck alongside my number-based activities today. :)

1-100 Challenge from Sara VanDerWerf

This year, I tried Sara VanDerWerf's 1-100 Challenge for the get-go fourth dimension on the get-go twenty-four hours of school.  It was a huge hit!  My students were SUPER-engaged, together with it was a groovy springboard to hash out what groupwork should await like.  You tin hand notice larn to a greater extent than nearly this post service at puzzle site.  I created a printable version using Publisher.  Then, I printed together with laminated them to brand a shape set.  

  
I hand my students 3 challenges.

Challenge 1: Make a Square Using Exactly 1 Piece
Challenge 2: Make a Square Using Exactly 4 Pieces
Challenge 3: Make a Square Using Exactly v Pieces (No overlapping!)

I blogged nearly this puzzle inward to a greater extent than exceptional here.  You tin hand notice every bit good detect a link to download the file together with brand your ain set.  My students unremarkably bring no occupation doing Challenge 1 together with 2.  Challenge 3 turns out to move a existent challenge.  And, I unremarkably exclusively bring 1 or ii students figure it out.  Whenever I move these alongside my students, I unremarkably bring to ready a timer to permit them know when nosotros volition stop.  Otherwise, they volition desire to cash inward one's chips on going, together with we'll never acquire to our lesson!

24 Game

I honey the 24 Game, together with therefore I was super excited when I works life a PDF version alongside here.  The destination of the game is to brand the let on 24 from the iv given numbers.  You may add, subtract, multiply, or separate the iv numbers.  Parentheses may every bit good move used.

You tin hand notice buy dissimilar types of 24 Games from Amazon (affiliate link).  Last month, my hubby together with I played a span of rounds of Double Digits (affiliate link) against each other, together with around of the problems were super-tricky fifty-fifty for us math teachers!  This is a groovy action to move to reinforce the lodge of operations.

  
Here's the costless printable version I works life online:

5-4-3-2-1 Challenge

This challenge was inspired yesteryear a puzzle posted yesteryear Will Shortz on NPR's website.  The destination of the occupation is to move the digits 5, 4, 3, 2, together with 1 (in that order) to produce every bit many numbers betwixt 1 together with xl every bit possible.  You tin hand notice add, subtract, multiply, together with separate the numbers.    

I created around recording sheets for my students to move to receive the puzzle.  This is around other groovy puzzle to do using the lodge of operations.


I every bit good made a poster-sized version for a full-class activity.  


I've posted all of the files I created for this action here.  My students actually enjoyed the challenge.  I used it alongside both my lowest math shape (9th graders non notwithstanding produce for Algebra 1) together with my highest math shape (trig).

Hope you've enjoyed this peek at around of the activities inward my filing cabinet!

Monday Must Reads: Volume 3

My end professional person twenty-four lx minutes menses of the yr is finished.  Grades are turned in.  And, I've already started throwing out all my extra quizzes from this yr to clear out the filing cabinet for side past times side year.


It's likewise Mon which agency it's fourth dimension for Volume three of Mon Must Reads.  I've been trying to write 1 of these round-up posts each Monday, but my posting mightiness last a flake to a greater extent than sporadic equally summertime starts.  I promise to alternative upward a regular Mon posting schedule 1 time to a greater extent than 1 time schoolhouse starts dorsum inwards August.

Here are the weblog posts that I deemed equally "must reads" this past times week.  Have a weblog post or tweet that you lot cry back needs to last read?  Leave a comment below!

resources she created for instruction systems of equations.  I included her tweet well-nigh creating a dry out erase template for the elimination method inwards Volume two of Mon Must Reads, thus I wanted to hand everyone a heads-up that she is sharing the file for costless (plus several other files) on her blog!

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poem she wrote for her AP Calculus students.  It was such a fun read, together with I tin flame state that she pose a lot of fourth dimension together with attempt into it!  I won't include the whole poetry form hither thus you'll accept to click over together with read it on her blog, but I'll part my favorite stanza alongside you.  The end business is the best!

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great post well-nigh coming to meliorate empathise how the box method industrial plant for factoring polynomials.  The regain she discusses making was 1 I was forced to regain a few years agone when Shaun kept pressing me to answer the enquiry "Why?" inwards regards to how nosotros know how to fill upward out the box.  If our students don't empathise where the dissimilar numbers are coming from inwards the box method, together with then it's a fob that's no meliorate than the FOIL method.

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Dan Rodriguez-Clark shares a bunch of swell ideas to larn students to meet the fun, creative side of math(s).  The activities he shares inwards his post are a summary of what his schoolhouse did to celebrate "Maths Week" inwards Peru.  The activeness that outset caught my optic was a murder mystery activeness called "Who Killed Mr. Dipentagram? past times dave789 on TES.  I was able to impress off the resources together with implement it alongside 1 of my classes on the exact twenty-four lx minutes menses I discovered his weblog post.  How awesome is that?!? That was only 1 of the ideas shared.  I highly propose you lot cheque out all 8 of his ideas for engaging students inwards doing math(s).

Kate's Classroom Cafe shared an awesome organizational fob that I am definitely going to move side past times side year.  It's thus uncomplicated together with effective that I'm embarrassed I didn't come upward up alongside it myself.  Do you lot accept problem finding materials inwards your hanging files?  Kate has got the solution.  Thanks to Kelly for posting a painting exhibit of your organized files on twitter to inspire me!


My Most-Referenced Math Classroom Decorations

As I start to intend almost how to decorate my classroom for the upcoming schoolhouse year, I am reflecting on concluding year's classroom design. What was useful? What was cute but ended upward beingness a waste materials of time? Today I desire to part the meridian x classroom decorations that my students genuinely used too referenced on a regular basis. In a sense, these are classroom must-haves. These are the decorations that made my students started complaining when I took them downward during the concluding calendar week of school!

Math Symbols Posters - The most referenced symbols on these posters are greater than, greater than or equal to, less than, too less than or equal to. My students know that these are e'er on the wall to reference whenever they aren't quite sure enough what symbol they are dealing with.

I genuinely made to a greater extent than of these posters than volition jibe on my wall. So, I conduct which ones to hang upward each twelvemonth based on which classes I am teaching. You tin dismiss download the file for these posters here.


 Prime Number Banner - My students are oft scream for if a sure enough release is prime. So, a few years agone I made a prime number release banner that goes from 2 to 107. We run this all the time. I fifty-fifty honor myself using it! My students conduct keep a prime number release nautical chart inward their notebooks, but it's often quicker for them to merely glance at the wall. This poster gets used an extra sum when nosotros are working through our unit of measurement on radicals! You tin dismiss download the file for this prime number release banner here. 



Horizontal too Vertical Number Lines - I dearest release lines. And, my students genuinely dearest release lines. I genuinely conduct keep 3 release draw of piece of job posters hanging upward inward my room. I conduct keep 2 vertical release lines that are hung on contrary walls. I created the file for this release draw of piece of job myself, too I blogged almost it here.


My horizontal release draw of piece of job gets the most run from students. I oft run into them alongside their pencils inward the air equally they count off spaces on the release line. This release draw of piece of job was printed from a PDF file created past times Frank Tapson. I blogged almost the procedure of making it (and linked to the file) here. This past times year, I added positive too negative infinity signs for the outset time. You tin dismiss honor out to a greater extent than almost those here. 



Perfect Squares too Cubes - These posters were inspired past times blog post.



Order of Operations - Even though my high schoolhouse students conduct keep been learning almost the social club of operations since simple school, I honor that they yet demand a reminder. They are also used to pretty much exclusively seeing problems involving parentheses. So, the fact that nosotros genuinely produce all grouping symbols which include crazy things similar absolute value bars, radicals, too vinculums seems crazy to them. This display tries to assist alongside that. You tin dismiss download the files here.


Horizontal/Vertical Lettering - There is something almost the words horizontal too vertical that tricks upward my students every year. I've institute that the best agency to bargain alongside this is to position the words upward on the wall alongside the proper orientation. I could conduct keep used pre-cut lettering for this, but I decided to merely selection a fun font too impress out the letters. You tin dismiss honor the file I created to brand these here.



Left/Right Reminders - Some of my students also create out alongside left versus right. So I hang upward a reminder on the wall every twelvemonth too thence it's at that topographic point for them if they demand it. Download here.


Greek Alphabet too Place Value Posters - I'm non sure enough what it is, but my students are intensely curious almost the Greek Alphabet. I position this poster upward every fourth dimension I learn trig since nosotros bargain alongside theta too thence much. It's also keen for showing students where the delta symbol inward the gradient formula comes from inward Algebra 1. I oft honor students merely studying the letters randomly. They dearest to endeavor too pronounce the names of the unlike letters. You tin dismiss honor the file to brand this for your ain classroom here.

Some of my students conduct keep problem reading numbers aloud, too thence the house value posters assist alongside that. I fifty-fifty honor myself referencing it sometimes! Download here.


Includes vs. Excludes Reminder Posters - I made these posters to assistance my students alongside graphing inequalities inward Algebra 1. My students didn't reference them much at all when nosotros were working on one-variable inequalities. But, they used them ALL. THE. TIME. when nosotros were working alongside two-variable inequalities. I had a pupil retaking a quiz on two-variable inequalities during the concluding calendar week of school. I had already taken these posters down, too the pupil made sure enough to allow me know how displeased she was alongside my actions! Download them here.


Four Types of Slope (Adventures of Slope Dude) - I adore educational activity my 9th graders almost gradient every year. I also adore here.


Pythagorean Triples - I taught a trigonometry degree this past times year. We often institute ourselves inward the scenario where nosotros needed to produce the pythagorean theorem to honor a missing side. It was dainty to hold upward able to cheque the triples too run into if nosotros could honor the answer without genuinely having to produce the pythagorean theorem. You tin dismiss download these here.



I hold off frontwards to incorporating fifty-fifty to a greater extent than math into my classroom decorations inward the future! 

Order of Operations Interactive Notebook Pages

This year, I'm actually emphasizing club of operations at the starting fourth dimension of the twelvemonth inwards Algebra 1. Last year, I tried to bound right into evaluating expressions because my kids accept been learning most the club of operations since third bird or so. I figured review would locomote pointless. I was WRONG.

My students may accept been looking at club of operations problems for years, but these problems most probable didn't incorporate grouping symbols such equally absolute value bars, radicals, or fraction lines. My students demand exercise amongst this broader Definition of grouping symbols than simply the parentheses that they learned most from Please Excuse My Dear Aunt Sally.


I actually liked the Grouping Symbols poster I created terminal year, then I decided to plow it into a notebook page.


I gave students a blank club of operations template, in addition to nosotros filled inwards the pregnant of each of the letters. I made a big bargain of emphasizing that multiplying in addition to dividing are actually the same functioning then nosotros create them from left to right. Same amongst add-on in addition to subtraction.


Next, nosotros spent around character fourth dimension looking at negatives in addition to exponents. I had a giddy instant when I was making this notes page, in addition to I used 3 for all of my exponents which led to around really tedious results. Oops! Changing the 3s to 4s worked much better.


I shout out upward inwards the future, I would brand this activity into around kind of menu kind instead. I equally good wishing I would accept had a house where students formally recorded the divergence betwixt a negative within parentheses in addition to a negative without parentheses. I did a meliorate undertaking of this amongst around of my classes than others.


When I was gluing inwards my notebook pages, I accidentally forgot to acquire out a page for this laid upward of "Negatives in addition to Exponents" notes. Oops... So, I ended upward taping it inwards equally a flap over the grouping symbols.  You tin run across that meliorate below. That's why the grouping symbols chip that sticks out says "Grouping Symbols."


Next, I gave my students a booklet foldable that had iii club of operations exercise problems. These were definitely complex problems. I wrote them to involve negatives amongst exponents, absolute value bars, radicals, in addition to fractions.




 

The terminal affair nosotros glued inwards our notes for club of operations was an activity I borrowed from Greta Bergman.  Students are given 8 expressions. seven of the expressions simplify to -13. 1 of them doesn't. I challenge students to consummate problems until they abide by the i that doesn't equal -13. I tell them that when they abide by that one, they may stop. Of course, they accept to acquire their operate checked past times me. Students are ever eager to acquire their operate checked when they acquire an respond that isn't -13. Usually, I abide by around fault inwards their work, betoken it out to them, in addition to ship them dorsum to re-work the problem. So, they halt upward getting LOTS of practice!


I created several activities to become amongst our club of operations skill, but I volition portion those inwards carve upward posts. :)

Files for these notebook pages tin locomote downloaded here.

Updated Evaluating Expressions Question Stack amongst More Difficult Questions

On Sunday, I shared a question stack I made to review the distributive property using printable draw organisation cards. Today, I desire to portion a unlike version. I created this query stack for my Algebra 1 classes to review evaluating expressions.

If you've laid upwards my weblog for awhile as well as tin continue rails of my hundreds of posts, you lot may hold upwards thinking that I've already shared my evaluating expressions query stack before. Yes, I did portion an evaluating expressions query stack final year. Here's the post.

The questions looked similar this:

Last Year's Question Stack (Download HERE)
There was nil incorrect amongst this, but this twelvemonth I decided I wanted my students to create problems at a fighting of a higher level. I spent a substantial amount of fourth dimension reviewing the lodge of operations this year, as well as thence that allowed me to inquire much to a greater extent than hard evaluating questions than inwards years by where I skipped lodge of operations review because I assumed all of my students had already mastered it. Let's merely tell that evaluating expressions went a 1000000 times ameliorate this twelvemonth than final cheers to the lodge of operations review fifty-fifty amongst the harder problems!

Introducing my novel as well as improved as well as much to a greater extent than hard query stack!


I printed these query as well as respond cards on Avery Business Cards (affiliate link) that I purchased from NAIER final year.
question
So, how does a query stack work? Check out this post for the total details, but I'll teach ahead as well as rapidly summarize how it plant below!


Each grouping gets an explanation menu amongst all of the rules.

I printed them on peach newspaper as well as laminated them as well as thence they are handy every fourth dimension nosotros create a query stack. And, I create lots of query stacks!



Students seat out all of the cards individually amongst the respond sides facing up. These cards shape the "answer bank."

Each grouping chooses i menu to flip over. They seat this menu on reach of their laminated query stack template as well as thence they don't teach confused.

Each grouping fellow member plant out the problem. When the grouping has decided on an answer, they depository fiscal establishment jibe the "answer bank" to run into if their respond is there. If it is, they are (most likely) correct. If it isn't, they receive got made a mistake. They ask to depository fiscal establishment jibe their operate and/or inquire for help.

 

If the respond is inwards the respond bank, this menu is flipped over to give away a novel question. This procedure repeats until the final query is flipped over. The respond to this menu should hold upwards at the bottom of the pile if all of the questions receive got been answered correctly.

Here are approximately activeness shots from the twenty-four threescore minutes catamenia I used this activity inwards class:













You tin download the file for this activity here.