Showing posts with label Trig. Show all posts
Showing posts with label Trig. Show all posts
Wednesday, November 1, 2017

Always, Sometimes, or Never? Resources for Math Class

After successfully using Always, Sometimes, or Never? to assistance my students hit a ameliorate conceptual agreement of the measures of fundamental style (link to spider web log post), I began to wonder what other math topics I could utilisation the Always, Sometimes, or Never? construction with.


I spent utilisation of an even out googling for resources.  I idea I should part my findings alongside yous guys equally well.  Have yous used Always, Sometimes, or Never? to review other concepts?  Please piece of job out a comment!

Algebraic Properties


Angles


Miscellaneous


Negatives


Number Sense


Parallel together with Perpendicular Lines


Points, Lines, together with Planes


Quadrilaterals


Rational together with Irrational Numbers


Similarity


Transformations


Trig


Monday, October 30, 2017

Slants Puzzles from Brainbashers.com

In the terminal few days earlier Spring Break, a large subdivision of my students were gone for diverse reasons.  I decided it was non an ideal fourth dimension to offset a construct novel unit of measurement inward trigonometry.  So, I went looking for a novel logic puzzle to innovate my trig students to.  Many of these students accept been inward my math classes since they were eighth graders, together with then they've seen almost all of the puzzles I accept upward my sleeve.  

I constitute these interesting looking slant puzzles from brainbashers.com.  I created a one-page introduction amongst the rules for these puzzles to give to my students. 


Then, I used my snipping tool to select handgrip of several puzzles for my students to endeavour their hands at. 

Page 1 of Puzzles:


Page two of Puzzles:


Page three of Puzzles: 


Some of my students got actually into these puzzles.  Others, non together with then much.  


If I was going to role these amongst my students again, I would construct a MUCH bigger bargain close the "Loops are non allowed" rule.  Many of my students ignored this rule...

Image Source: https://www.brainbashers.com/slanthelp.asp 

I enjoyed these puzzles myself.  I await forrard to doing to a greater extent than of them inward the future.

Interested inward the file I created amongst the rules together with sample puzzles?  I accept uploaded it here.

A Mathematical Promposal (And a Special Request)

I've never actually understood the big stance behind promposals.  Part of that in all probability has to exercise amongst the fact that I never went to prom inwards high school.  But, I of late got the guide a opportunity to hold upwards a business office of one, together with it was then sweet!

This week, the theme of prom came upwards inwards my trigonometry class.  One of my students was absent due to a dentist appointment.  In her absence, the shape did a chip of matchmaking together with planned an elaborate promposal.  

We were laid to get double angle identities the side past times side day, then I made 1 of those puzzle worksheets that spells out a hush-hush message.  The shape brainstormed to create upwards one's heed what the joke together with hush-hush message should be.  I created the problems together with made the worksheet. 



The side past times side day, the students walked into shape grinning from ear to ear because they knew what was going to happen.  I was surprised past times how good they were able to continue the secret!  

The intended recipient was having a chip of a tough fourth dimension amongst a few of the problems, then her classmates jumped inwards to help.  They were certain to continue their answers covered then they didn't orbit away the reply at the bottom of the page!  


With iii minutes left of class, the intended recipient finished.  Her get-go response subsequently reading the punchline was "What?"  "What?"  "What is this?"  


Soon, the remainder of the shape was pressing her for an answer.  Would she become to prom amongst Sam?  He was inwards the class, too.  I'm  not certain if I made that clear earlier!

When she said yes, the entire classroom broke out into applause.

Most of this bunch of kids were business office of my real get-go eighth degree Algebra class.  They've position upwards amongst me since I was a first-year instructor who had no stance what she was doing.  And, that shape volition e'er concur a exceptional house inwards my heart.  This simply adds to the exceptional memories.

This mathematical promposal totally brightened my day, together with it definitely brightened the solar daytime of the recipient.  I desire to inquire yous similar a shot to exercise something else to brighten that specific student's day.  She is currently inwards the running to win a scholarship based on this essay that she has written.  I hollo upwards if yous read her essay yous volition meet simply how exceptional together with deserving she is.  Please orbit her a vote.  I know it volition assist to brighten her solar daytime fifty-fifty further!

Also, if yous desire to modification the joke together with punchline to something else, I've uploaded the worksheet here.  Or, possibly yous bring individual named Sam inwards your shape who wants to invite individual to prom inwards a math-y way.  Then, you're already set!

Saturday, October 28, 2017

Monday Must Reads: Volume 2

It's difficult to believe it's already been a calendar week since my first mass of Mon Must Reads.  Since the final mass was received thence positively, I'm dorsum today amongst mass 2!  The finish of this weblog serial is to highlight some of my favorite weblog in addition to twitter reads that I cry upwards are worth sharing.

  

Last week, I discovered the Pie Says No (@pie_says_no) Twitter account, in addition to it's definitely worth a follow.  The occupation organization human relationship regularly tweets cringe-worthy pie charts (and other information visualizations).  These are perfect for showing students what NOT to do!  Here's my favorite one:


Fawn Nguyen's recent post service near Solving an Equation amongst a Fraction has me thinking a lot near how I desire to construction my solving equations unit of measurement for side past times side year's Algebra 1 class.  I bespeak to focus less on mindlessly manipulating equations in addition to focus to a greater extent than on a conceptual agreement of what equations genuinely mean.

here.  I await frontward to genuinely having my students construct the towers side past times side year!      

Megan Lonsdale tweeted a moving painting of a display she had her students do amongst information from flipping a money in addition to finding the experimental probability of the money landing on heads.  I talked amongst my Algebra 1 students this twelvemonth how experimental probability approaches theoretical probability every bit the unwrap of trials is increased, but I honey how Megan SHOWED this to her students instead of simply telling them.  I peculiarly honey the role of record to demo where the theoretical probability lies in addition to the role of private stickers to stand upwards for experimental probabilities.  Definitely stealing this side past times side year!   Want to run into the poster inward greater detail?  Check out this link.  


Karl Lippa has me really intrigued amongst this tweet about having his students participate inward Opposite Hand Olympics inward Algebra 1.  You MUST click through the link to a higher house to sentry the video of students trying to residual marbles on a textbook.  It looks similar thence much fun!  The screenshot I'm posting below simply doesn't capture the awesomeness of the entire video.    


Teach180 tweets!  I honey this punch carte du jour activity that she created for trigonometric equations.  I've used punch cards i time before, in addition to they worked well.  I bespeak this reminder to seat punch carte du jour activities into my normal pedagogy rotation. 


    
I likewise honey Sarah Newton's role of a Venn Diagram to practise polynomial vocabulary!  My Algebra 1 students convey been struggling a chip amongst Venn Diagrams inward our probability unit, thence I cry upwards that incorporating them before inward the twelvemonth would live on genuinely helpful to them.


I don't learn geometry, but Kerri Sustich's Circumference or Area? activity that she posted on Twitter definitely caught my eye.  So often, nosotros practise all of i type of occupation thence all of some other type of problem.  This activity gets students thinking near 2 types of problems at the same time.  I tin transportation away definitely run into applying this same practise construction to other math topics!

  

dry erase templates for pedagogy polynomials using the box method!


That's it until side past times side week!  Read whatever "must reads" lately?  Share them inward the comments!

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!


Monday Must Reads: Volume 5

It seems similar it was simply yesterday that I decided to laid about Mon Must Reads every bit a weekly characteristic to highlight the awesomeness I run across daily through the blogs I read as well as the inspiring teachers I follow on Twitter.


Rick Barlow's tweet caught my oculus non because of what the pupil had written on the board but because of the poster hanging higher upward the dry out erase board. I intend this poster belongs inward every math classroom.  This is definitely on my listing of posters to exercise for my classroom for adjacent year.


set of dry out erase pockets, yous demand to exercise as well as then now! Check out this awesomeness:






most recent number of Mon Must Reads, I featured a visual representation for solving equations.  I wondered how it powerfulness piece of work alongside equations that accept variables on both sides.  Yah Lee answered my inquiry alongside a visual model that does simply that!  I've played or as well as then alongside it, as well as I similar it.  The alone affair I can't figure out how to exercise at in 1 trial is illustrate an equation that involves subtraction 1 one side of the equal sign as well as add-on on the other side.


I was outset introduced to Conway's Rational Tangles occupation through a summertime immersion programme hosted past times the Tulsa Math Teachers' Circle.   interactive notebook pages for angles formed past times secants as well as tangents.  I dearest how she encouraged her particular students to hold out 2 small-scale pieces of newspaper to improve visualize the arcs as well as angles.  I intend this is a strategy that all students could exercise goodness from!

It
Image Source: 
I also dearest the vinyl ornamentation she created for her mug!


Maths teachers inward the U.K. accept been honouring the belatedly Malcolm Swan's contributions to maths pedagogy past times using his resources inward their classrooms on #malcolmswanday.  Pip Mathematics shared a dandy Swan chore that I await forrad to incorporating when my Algebra 1 students tackle evaluating expressions inward the fall.




Theressa Engel shared students' results to a problem-solving chore I would dearest to endeavour out alongside my ain students: exercise the longest chain possible from a unmarried canvass of paper.  I'm thinking this would brand a dandy outset calendar week of schoolhouse activity!  



It
Image Source: https://samjshah.com/2017/05/25/an-prelude-to-unit-circle-trigonometry/

Susan Russo took the traditional spaghetti activity for graphing sine as well as cosine curves a laid upward further past times hanging them side-by-side to exercise a beautifully long graph. 


Andrew Jensen shared a vivid geometry chore regarding wasted packaging space.  




Until adjacent time, proceed sharing!


Trigonometry Advice from Former Students

Trigonometry Advice from Former Students

For years, I direct keep had my students write letters of advice to hereafter students later Earth testing was over. This year, my students did non direct keep an end-of-instruction exam, therefore I was able to simply proceed teaching upwards until the halt of the schoolhouse year.  So, this twelvemonth was the foremost fourth dimension inwards a long fourth dimension that I didn't direct keep students write letters of advice.

As I'm cleaning out my draft folder, I ran across a twist on the stance that I tried amongst my trigonometry students 2 years ago.  Since I don't instruct trig every year, I couldn't really direct keep them write letters to the side past times side year's students.  Instead, I had them write letters to their past times selves amongst data they wishing they had earlier foremost trig.

You tin enjoin these are from a dyad of years agone because I was withal Ms. Hagan, then!

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Here is roughly advice I should enjoin yous that volition assist yous out for trig.  You'll require to pay attention, psyche to Ms. Hagan, in addition to inquire questions.  A big tip you'll require to know is to compliment her on her pi jewelry. :)

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You were beingness dumb this year.  You should direct keep sat downwards in addition to paid attention.  You would direct keep made amend grades in addition to would direct keep done amend on the ACT.

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When yous come upwards into trig, endeavour difficult to proceed upwards amongst your notebook.  Your notebook volition survive your absolute best friend.  Pay extra closed attending when Ms. Hagan is giving her lectures.  Be certain to know how to practise i lesson earlier yous motility on to the side past times side i because to a greater extent than than probable the lessons are going to necktie into each other.

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Wait to highlight your notes until later Ms. Hagan is done amongst explaining the examples.  If yous practise non wait, yous volition acquire confused.  Speak upwards in addition to role your words to a greater extent than often.  Participate inwards the games they play inwards class.  You volition direct keep to a greater extent than fun that way.  I promise.  On Good Things Monday, yous should participate.  And, I hope that nobody volition estimate you.  Tell your funnies on Fri funnies.

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You should pay to a greater extent than attending inwards course of written report in addition to run harder on in-class activities therefore yous know what's going on.  Don't survive on your call upwards every bit much therefore yous know what's going on therefore yous tin travel past times your quizzes the foremost fourth dimension yous accept it therefore yous don't direct keep to come upwards inwards later class.

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When nosotros practise a fourth dimension automobile in addition to this gets dorsum to you, at that topographic point are roughly things I would similar yous to laid upwards for.  You require to simply written report to a greater extent than in addition to really practise your homework.  Don't survive on your call upwards every bit much therefore yous tin accept amend notes in addition to pay attending better.  Also, start bringing snacks to course of written report because yous are ever getting hungry earlier lunch.  You should too proceed your notebook to a greater extent than organized in addition to numbered.

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Enjoy the days when yous acquire to play uno!  Those are the best days ever.  The notebook is the best business office of the course of written report when yous aren't playing games.

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I would advise that yous should pay attention...  You really practise acquire more.  If yous don't know what's going on, heighten your mitt in addition to inquire a question.  Ms. Hagan is at that topographic point to assist inwards whatever mode possible.  Practice genuinely does brand perfect inwards this class.  "Notebooks" are your best friend during class/tests.  Oh, in addition to proceed taking whatever course of written report Ms. Hagan offers.

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Don't survive frightened most trigonometry.  Definitely don't believe the horror stories yous take away heed most it either.  Trigonometry volition really brand sense.  Out of all math subjects yous direct keep learned therefore far, yous volition empathize trig to a greater extent than than yous empathize whatever other math subject.  

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Monday Must Reads: Volume 12

It seems similar equally before long equally I acquire ane Mon Must Reads post service written, it's fourth dimension to write some other one! I don't know how it is for you, but I experience similar this schoolhouse yr is actually flight by!


Enjoy my listing of must-read ideas from the concluding week!

Hedge shares a photograph of a department of her dry out erase board dedicated to "Hedge High 5's." I honey how she uses this equally an chance to recognize students who are willing to accept risks inwards the cry of learning.

Image Source: https://twitter.com/approx_normal/status/913552608555556864
I LOVE bill of fare sorts. So, I was super excited when I saw how Mickie Gibbs turned her door into a bill of fare form surface area for pupil created relations/functions on post-it notes.

Image Source: https://twitter.com/MickieGibbs2/status/913497338433425408
Megan Tuttle gave her students lots of decimal adding do concluding calendar week disguised inwards a fun triangle puzzle. This thought could survive adapted for as well as thence many dissimilar math-y things!

Image Source: https://twitter.com/TuttleELP/status/913453192696025090
Kristen Fouss makes the tricky concept of a radian come upwardly survive using a mutual menage object: string! I've done this alongside piping cleaners before, but I similar this thought of using lots of dissimilar sized circles instead of simply one.

Image Source: https://twitter.com/Fouss/status/913457362274603008
I equally good loved how Kristen used her students' answers from the previous day's Desmos assignment equally her warm-up the adjacent day!

Image Source: https://twitter.com/Fouss/status/913007694663036928
I'm as well as thence excited yesteryear the classroom display that Jessica Strom is edifice equally her students discover ways inwards which the divulge null shows upwardly inwards their course. How cool!

Image Source: https://twitter.com/strom_win/status/913437093992341504
Teaching students to solve equations is hard. I honey how Joy Kranefuss has her students plough two-step equations into 2 one-step equations to solve!

Image Source: https://twitter.com/placej13/status/913420202385195008
I've seen lots of Which One Doesn't Belong? problems used inwards math class. Amy Roediger shares the origin WODB work I've seen for chemical scientific discipline class!

Image Source: https://twitter.com/AmyRoediger/status/913373024174444545
One of my favorite classroom supplies is a railroad train of dry erase pockets (affiliate link). Michelle Russell uses sail protectors to plough over the same end-product. Having taught stats before, the thought of having a reusable normal distribution bend to depict on is BRILLIANT! My students were ever reluctant to depict the diagram themselves as well as would halt upwardly messing upwardly their calculations.

Image Source: https://twitter.com/michel1erussel1/status/913142648956956672
Mr. Fredericks makes probability fun yesteryear posing some fun questions to his students. Definitely adding this to my probability unit of measurement later on inwards the year!

Image Source: https://twitter.com/MrFreds2200/status/913912198262530048
Ilona Vashchyshyn poses ane of the most fun information collection questions I induce got ever seen. What is the perfect ripeness of a banana? This would survive fun to pose inwards class!

Image Source: https://twitter.com/vaslona/status/913591712106156032
Laura Vogel uses dissimilar sized packages of M&M's to illustrate the touching on of sample size on calculating margins of error. Brilliant! 

Image Source: https://twitter.com/riversidehsmath/status/912661631695384576
Destinee Johnson gets students moving unopen to the room to cast ionic bonds alongside ane some other alongside a fun speed dating activity. Definitely doing this inwards chemistry!

Image Source: https://twitter.com/msjohnsonchem/status/912702702882344960
Liza Goldberg helps students visualize 3 dimensions yesteryear attaching masking record to a corner.

Image Source: https://twitter.com/LizaDGoldberg/status/912730123035643906
I honey playing Simon Says alongside types of slope. I telephone vociferation upwardly it Slope Dude Says. Jennifer Williams uses Simon Says to do role families. How fun!

Image Source: https://twitter.com/jlwilliams314/status/912769095845675009
Jocelle Skov's students were working on percents. She had the perfect response when her students were debating whether a per centum could survive greater than 100!

Image Source: https://twitter.com/mrs_skov/status/912773258864345088
Mark Kaercher shares an awesome visual for angle types. I'd honey to recreate this alongside a brad that lets students movement the angle unopen to the circle!

Image Source: https://twitter.com/shskaercher/status/912629158395678720
Stacey Ward brings bubblegum to course of didactics to illustrate an of import concept involving mass.

Image Source: https://twitter.com/LadybugWard/status/908514860073398272
Stephanie Goldberg created a fun exponent review game involving dice. I would honey to adjust this to involve negative numbers equally well!

Image Source: https://twitter.com/sjgoldedu/status/912386065562038272
Michelle Vanhala has her students house their leave of absence tickets inwards coloring coded baskets based on their score of understanding. I've seen this done alongside folders before, but the upshot is frequently disorganized. Baskets, though, are an thought I tin totally acquire behind!

Image Source: https://twitter.com/MsVanhala/status/912351469017473025
Fred G. Harwood shares an intriguing chore to acquire students thinking close estimating lengths involving radicals!

Image Source: https://twitter.com/HarMath/status/912302833034190848
Kent Haines equally good shares a corking activeness for investigating length involving radicals. How would your students respond?

Image Source: https://twitter.com/KentHaines/status/912318947323777024
 Julie Steiner shares a resources for a demand that I'm sorry to nation I didn't fifty-fifty realize exists.

Image Source: https://twitter.com/TollesSteiner/status/912341742132875264
Until adjacent week, buy the farm on the corking ideas coming!