Showing posts with label Absolute Value. Show all posts
Showing posts with label Absolute Value. Show all posts
Saturday, October 28, 2017

Always Sometimes Never for Absolute Value, Opposite, Reciprocal, together with Opposite Reciprocal

Monday, nosotros are starting our outset unit of measurement of Algebra i past times looking at the definitions of absolute value, opposite, reciprocal, as well as reverse reciprocal. Last year, I made the false supposition that my ninth graders would last goodness at finding the absolute value of a number/expression when they came in. In improver to absolute value, I've decided to address opposites, reciprocals, as well as reverse reciprocals at the same time. This should salve us simply about fourth dimension when nosotros instruct to discussing perpendicular lines!

I decided to utilisation an Always/Sometimes/Never activeness to instruct my students thinking close these damage at a deeper level. Here's what I came upward with:


I've currently got a fix of tents inwards the plant for a clothesline activeness to become alongside this lesson.


 I've uploaded the file for this activeness here.

Two Truths together with a Lie Activity Template

I dearest using the Two Truths in addition to a Lie strategy to larn students practicing applying math concepts inwards my class.  Normally, this is used equally an H2O ice breaker. For example, I mightiness percentage the next iii statements:

1. I in i trial fed almonds to a kangaroo.
2. I cause got never eaten steak.
3. I become to the circus every unmarried year.

Two of those statements are true. One is a lie. So, which i is it?

Any guesses?

If you lot guessed that reveal iii was the lie, you lot were correct. To brand this into a math-y or science-y activity, I cause got my students write iii statements virtually our electrical flow theme of study. Two of them require to live on true. One of them needs to live on false.

In the past, I've simply had students write their statements on dry out erase boards in addition to percentage them amongst the class. This year, I decided to cause got students practise a page for their interactive notebooks.

Here's what I came upwardly with:


I intentionally my template generic thus I tin reuse it throughout the twelvemonth for diverse topics. :)

I used it for the showtime fourth dimension when my Algebra 1 students were reviewing the definitions of absolute value, opposite, reciprocal, in addition to contrary reciprocal. I instructed my students to fill upwardly the boxes for A, B, in addition to C amongst 2 truths in addition to a lie. I told them to exit the bottom of the page blank for now.

After students wrote their 2 truths in addition to a lie, I invited students to house their newspaper nether our document camera (affiliate link) for the shape to see. The shape thus had to figure out which disceptation was the lie. Some students actually liked getting to demo their statements off to the class. Others refused. I simply allow those who wanted to practise it volunteer.

It turns out it's actually difficult to cause got pictures of using a document camera!


We had to plow the lights out inwards the room for students to live on able to run into the pencil markings come upwardly up on the document camera.



Once everyone who wanted a plow had a peril to percentage their statements amongst the class, I had my students consummate the bottom of the paper. They had to specify which disceptation was a prevarication in addition to WHY the disceptation was a lie.





You tin download the template I created for this action here.

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.

Monday Must Reads: Volume 9

School is finally getting into amount swing. I mean value I've got almost every kid's get upwards down. Our notebooks are starting to hold off similar learning tools. There are ever papers to grade. And, I'm remembering simply how much I dear educational activity math.


 Here's the latest edition of inspiring ideas I bring came across on the Internet.

Amy Hogan shares an awesome graphic from Five Thirty Eight that contains IMDB user ratings from vi movies that premiered inwards 2017. Even though each motion-picture present has the same average rating, i of these movies is non similar the others.

Image Source: https://twitter.com/alittlestats/status/906514268396417024
On the topic of  graphs to usage inwards class, The New York Times has announced a novel characteristic that promises to highlight interesting graphs. This looks promising!

Image Source: ?referer=

Lana Pavlova has made all of twitter jealous amongst her school's latest playground additions.

Image Source: https://twitter.com/TAnnalet/status/905980910784233472
Liz Mastalio has her degree collecting some information that I honor super fun! Now, I demand somebody to video record me brushing my teeth when I'm non thinking close this interrogation as well as thence I tin figure out how I create it!

Image Source: https://twitter.com/MissMastalio/status/906271043094028288
Ashley Henderson latterly gear upwards an Estimation Center inwards her classroom that I adore! The winning degree gets the contents of the container!

Image Source: https://twitter.com/aa_henderson/status/906143710622179329
Bryan Anderson shares a classic chess encephalon teaser amongst his students. LOVE the usage of linking cubes here!

Image Source: https://twitter.com/Anderson02B/status/906238457147785216
Laura Vogel is inspiring me to acquire to a greater extent than organized this schoolhouse twelvemonth past times creating a "Leaving School Checklist." I also dear that #Teach180 is purpose of her list!

Image Source: https://twitter.com/riversidehsmath/status/906244000277037056
Sean Corey shares an inspiring photograph from his classroom of degree norm posters. I dear that each norm poster features a visual reminder of an activeness they did to practise that norm!

Image Source: https://twitter.com/MrCoreyMath/status/906296637844332545
Justin Guadagni gets his students upwards as well as moving or as well as thence inwards a "Living Table Warm-Up." Students bring to physically rearrange themselves as well as the give away carte they bring been given to get together themselves into a linear table. This sounds similar a blast!

Image Source: https://twitter.com/MrGuads/status/906168434324635648
Kim Dempsey shares how her colleague had her twelfth graders create a trash audit past times collecting all of the trash they generated. This doesn't relate to whatever of the subjects I teach, but I mean value it's a corking regard that deserves sharing!

Image Source: https://twitter.com/MsKimistry/status/889170681811881984
I also dear this classroom photograph that Kim Dempsey shared on twitter. Look at that give-and-take wall!

Image Source: https://twitter.com/MsKimistry/status/905604766310518784
 Needing to learn unit of measurement conversions or dimensional analysis? Here's an interesting chore from Mr. Gunasingham involving a beard-second.

Image Source: https://twitter.com/MrGHWHS/status/905896275157151744
Kaitlin shares the results of her students' newspaper tower edifice competition. This looks similar a fun agency to pass a degree period!

Image Source: https://twitter.com/Kaitruggiero/status/905861857940000769
Sarah Dulaney had her students describe pictures of what mathematicians hold off like. LOVE this idea! Great agency to challenge typical stereotypes, too.

Image Source: https://twitter.com/sedulaney/status/905888358282526721
Allie Webb shares a creative agency to pre-test students. Each page featured a ranking of the problem's difficulty. Students had to highlight i work from each page to live graded.

Image Source: https://twitter.com/MsWebb16/status/905400081012183040
Jazmine Castanon has a bright usage for all of your former transparencies. Make statistics books!

Image Source: https://twitter.com/jcast301/status/905094498149179392
FCMathLab has students creating comic strips based on the subsets of the Real Number System.

Image Source: https://twitter.com/FCMathLAB/status/905138719950336000
Leigh Ann Mitchell combines mistake analysis amongst an or as well as thence the room task. Brilliant!

Image Source: https://twitter.com/MitchellAlg/status/905146468947951617
Sarah Schambach created an awesome dry out erase template to usage amongst solving absolute value equations. Totally stealing this idea!

Image Source: https://twitter.com/schambach96/status/905178740476469249

And, that's it until side past times side week!

War Activity for Practicing Absolute Value, Opposite, Reciprocal, too Opposite Reciprocal

I powerfulness convey went a flake crazy when I started making activities for our showtime science of the yr inwards Algebra 1. So, you'll convey to position upwardly amongst quite a few posts involving activities for practicing absolute value, opposite, reciprocal, together with contrary reciprocal.


Today, I desire to portion a nation of war activity I created. My sis together with I loved playing nation of war when nosotros were kids. Most games weren't that exciting. Whoever had the most aces almost ever won. But, in that location was simply something exciting well-nigh throwing downward a carte du jour to run across whose carte du jour had the highest value.

While the traditional carte du jour game is alone played amongst 2 people, this do activity tin operate amongst two, three, or fifty-fifty iv students inwards a group. Each grouping gets a gear upwardly of cards. The cards are printed on 2 unlike colors of newspaper together with laminated.


The yellowish cards are criteria cards. There are 15 cards. Three each of v types: original number, absolute value, opposite, reciprocal, together with contrary reciprocal.


The criteria cards larn shuffled together with placed inwards the centre of the playing area. The remainder of the cards are distributed evenly according to the unwrap of players.


The exceed carte du jour on the deck of criteria cards is turned over. This carte du jour tells the players how the winner volition move decided. The business office instrumentalist whose original unwrap is the greatest volition win. Original unwrap is the easiest because students don't convey to produce anything to their numbers to determine the winner.


Each business office instrumentalist turns over the exceed carte du jour on their deck.


8 is the highest original number, together with thence the other 2 players hand their cards to the business office instrumentalist who had 8. These cards are placed on the bottom of the winner's stack.


Now, let's alter the criteria carte du jour together with flip over some novel numbers. This time, students convey to detect the contrary reciprocal of their numbers.


1/3's contrary reciprocal is negative piece the others are positive, together with thence that business office instrumentalist doesn't win. 1/3 > 1/8, together with thence the face-up cards are given to the business office instrumentalist amongst -3.


Up next: Opposite


The contrary of -7 is vii which is the highest value of whatsoever of the opposites (7, 6, 1/4).


Next Round: Absolute Value


My students actually enjoyed this game! They had quite a flake of problem comparison fractions to determine which was larger. I spent a lot of fourth dimension going simply about together with helping students figure out which values were bigger when fractions were involved. This is something they should convey mastered inwards middle school, but we'll simply convey to proceed practicing comparison numbers until they larn it!

Here are a few activity shots:










You tin download the file for this activity here.