Math Links for Week Ending May 31st, 2019

Featured Links
I think it's really important to play around with assessment. Traditional paper and pencil assessment is fine but it's not the only type that is valid. So I love when people post about their little experiments. In this case @Dandersod talks about his first attempt at partner quizzes. Follow the entire thread for all the details.
Curriculum Tags: All
https://twitter.com/dandersod/status/1134449023300120576

Loving this. First partner quiz that we’ve done all year. Two groups, one group completed the review assignment, one did not. Partners randomly assigned inside those groups. pic.twitter.com/SHCTcFLMx0

— Dan Anderson (@dandersod) May 31, 2019

Resource Links
Do you want your students to model real situations with parabolas. Then this picture taken by a local photographer does the job. And while your at it, just import it into Desmos for analysis. Thanks to Mark Garant for pointing out this one
Curriculum Tags: MPM2D, MFM2P, MCR3U, MBF3C, MCF3M
https://www.cbc.ca/news/canada/windsor/bald-eagle-steve-biro-1.5145556
https://www.desmos.com/calculator/x4s4ndm8er

Video Links
I have seen many of these Pythagorean relationships with regular figures but I like the way that @giohio animated this version with hexagons. Click on the link in the Tweet to get the full Geogebra file.
Curriculum Tags: Gr8, MPM1D, MFM1P
https://twitter.com/giohio/status/1134454045526167552

Enjoy this Pythagorean Theorem "Proof Without Words" dissection puzzle in @geogebra.
The sum of the areas of regular hexagons built on the legs is equal to the area of the hexagon built on the hypotenuse. https://t.co/J15iSCNxXy#mtbos #iteachmath #pythagoreantheorem pic.twitter.com/tKmxMp5bo5

— Steve Phelps (@giohio) May 31, 2019

A very cool relationship regarding rectangles, calculators and multiples of 11.
Curriculum Tags: Gr7, Gr8
https://www.youtube.com/watch?v=waqDoeQ0Ijw

Image Links
Here's a nice little twist on a simple worksheet. Adding and subtracting integers with a twist.
Curriculum Tags: Gr7, Gr8
https://twitter.com/MrNiksMathClass/status/1134416312397119488

Teachers, as soon as our students are introduced to positive and negative numbers, show them how to combine integers. Try these Missing Signs problems well before the chaos of double negatives, "adding the opposite", counters, and integer vectors. Kids will surprise you. pic.twitter.com/gaxZdYWS0H

— Math with P. Nik (@MrNiksMathClass) May 31, 2019

I guess Game of Thrones was a thing. According to this graph, the writers got lazy over the years.
Curriculum Tags: MPM1D, MFM1P, MDM4U, MAP4C
https://twitter.com/jowrotethis/status/1131956466993094656

There it is. pic.twitter.com/mTl6iJI9sU

— Joanna Robinson (@jowrotethis) May 24, 2019

Math Links for Week Ending May 24th, 2019

Featured Links

One of the sessions that I did at OAME 2019 last week was on using Twitter (and other social media) as a PLN. After I got home I came up with this (longish) summary image to increase your presence on Twitter beyond just lurking and how to boost the visibility of your posts. I think the most important one is that one of the best things you can do is Retweet someone else's Tweet so that more people can see it (that's way better than liking it). If you have another tip, put it in the comments of the Tweet.
Curriculum Tags: All
https://twitter.com/davidpetro314/status/1130539426264866818

Resource Links

If you don't already follow @CShearer41 you should. Her simple little low tech geometry problems are fun. Here's one dealing with area where all you need to know is the area of a triangle and the area of a rectangle.
Curriculum Tags: Gr7, Gr8
https://twitter.com/Cshearer41/status/1126856640643440640

The triangle and rectangle have the same area. What fraction of the total is shaded? pic.twitter.com/JXCDnLI06c

— Catriona Shearer (@Cshearer41) May 10, 2019

Here is a cool simulation revolving around how many years you have left to live. Great for when you are talking about the reality of probability and how it relates to us. Thanks to @KMarkPet for this one
Curriculum Taga: MDM4U
https://flowingdata.com/2015/09/23/years-you-have-left-to-live-probably/


A month ago we had Collections added to the features of Desmos bookmarks. Now, if you have a collection, you can share it directly with teachers. Just copy the share link and distribute, then those teachers can add the entire collection to their own
Curriculum Tags: All
https://twitter.com/anandthakker/status/1130898954261082112

Heads up @Desmos friends! You can now add other teachers' shared collections to your list 👇🏾 pic.twitter.com/FJm9Zgo7wZ

— Anand (@anandthakker) May 21, 2019

A new book is out and it features the voices of some Ontario Educators (among others) like @AmyLin1962 @Marian_Small @Pi_Lab and @ggininewman. It's called My Best Idea from @rubiconpubs and is basically a summary of every one of the author's best ideas in education.
Curriculum Tags: All
https://www.rubiconpublishing.com/collections/my-best-idea/

Video/Audio Links

Two years ago I posted a video of a bunch of bricks that show the double domino effect. That 20s video went viral and has over 11million views right now. Here's a Desmos version of the same effect. Thanks to @JoceDage for pointing this out to me.

Curriculum Tags: Gr7, Gr8, MPM1D, MFM1P, MPM2D, MFM2P

https://twitter.com/SAO57is_prime/status/1129341040219922434

あのレンガドミノをdesmosでhttps://t.co/Vv7Rdmwf1p pic.twitter.com/hyOhwrKrjg

— 【彳▼亍 ▼てきちょく】☔☘ (@SAO57is_prime) May 17, 2019

Here's a great animation from @Dynamic_math showing the circumference of a circle

Curriculum Tags: 

#MTBoS: Not intended to replace an active, hands-on, investigation (where Ss are measuring distances around and across cylinders). Rather, it can serve as a quick conceptual reminder for those that may need it later. 🙂 https://t.co/4Rdbxuy8T8 @geogebra #ITeachMath #LetSsTellYou pic.twitter.com/pknthE27RS

— Tim Brzezinski (@dynamic_math) February 19, 2019

Do you want to know how to make a recursive slideshow presentation and then turn that in to Fractals and the Fibonacci numbers? Of course you do
Curriculum Tags: MCR3U
https://www.youtube.com/watch?v=b-Fa6HtvGtQ

And @standupmaths has a new(ish) book about math mistakes and here is his Talk at Google about that topic.
Curriculum Tags: All
https://www.youtube.com/watch?v=34detVy-Hiw

I saw this Tweet from @MFAnnie a few weeks back and I had not seen this video of her talking about her mother and how much math she did (unbeknownst to her mom) as she was making her quilts.
Curriculum Tags: All
https://www.youtube.com/watch?v=BZ3xm0hipIg

A new podcast in the educational area, this time from @Mr_Stadel.  Only two episodes in but already some good tips on enhancing what you are already doing.
Curriculum Tags: All
http://www.estimation180.com/podcast.html



I liked this episode from @PlanetMoney on applied probability, that is, how James Holzhauer is using math to blow everyone away at Jeopardy.
Curriculum Tags: MDM4U
https://www.npr.org/2019/05/10/722198188/episode-912-how-uncle-jamie-broke-jeopardy

Image Links

And speaking of Jeopardy and strategic playing. Here are the historical percentages of where the Daily Double has been located. Click through to the link to see an animated version of this spanning 31 seasons.
Curriculum Tags: Gr7, Gr8, MBF3C, MDM4U
https://flowingdata.com/2015/03/03/where-to-find-jeopardy-daily-doubles/

Some great visuals from @MonaChalabi comparing statistics seen on the TV show Cops to real life. Be sure to click through to see them all
Curriculum Tags: MDM4U
https://www.instagram.com/p/BxsQNK6F0zE

View this post on Instagram

TV ≠ real life Sources: A meticulous dataset created by @headlongpodcast (as heard on this week’s @thisamerlife). They watched 846 episodes across 30 seasons of the TV show COPS as well as ACS PUMS 1-year Estimate, from the Census Bureau 2016, Bureau of Justice Statistics, 2017 and FBI Uniform Crime Reports, 2017.

A post shared by Mona Chalabi (@monachalabi) on May 20, 2019 at 9:42am PDT

Math Links for Week Ending May17th, 2019

Featured Links
It was OAME 2019 this week so I will focus on things I saw there. Before we get to the stuff I saw, I encourage you to look at the back channel and all the people Tweeting about the conference. So many good things. Click on the link to see them all but below are a couple specific ones and especially look at the one by @DerekRhodenizer where he has created a shared Google Doc where anyone can add info into (got some to add, then go ahead):
Curriculum Tags: All
https://twitter.com/hashtag/oame2019?f=tweets&vertical=default&src=hash

Looking at @obj’s “insane” catch that stunned us all.

But is it REALLY insane? No.
Look at how he PRACTICES.

What does this look like in math class? #OAME2019 pic.twitter.com/eG8gIo0UDq

— ~Hedge~ (@approx_normal) May 17, 2019

Tell me I wasn’t the only one in tears at the end of @samjshah & @stoodle #teachervoice session at #oame2019 Thank you for your heartfelt, raw and real stories, anecdotes and advice. You inspire pic.twitter.com/fWqpH3ULxm

— Jaime De Pippo (@MrsDePippo) May 17, 2019

Looking for 58 pages of notes done by educators in sessions at #OAME2019?
I know a placehttps://t.co/dI9yYLMpWX

— Derek Rhodenizer (@DerekRhodenizer) May 17, 2019

Resource Links
I'll start with the four sessions that I presented. I did a session on using Twitter (and other social media) to build your personal PLN (here are all the links people shared in that one), one on using CODAP in data management and two in the Desmos mini conference: one on activities for Grade 7&8 and one on using Desmos Geometry. You can get to all of my slide decks at the link below
Curriculum Tags: All
http://bit.ly/oame-petro


The first session that I actually saw was from @NatBanting on "Creating Mathematical Possibility by Constraining Mathematical Possibility". Get the slide deck here
Curriculum Tags: All
http://natbanting.com/presentations/





I saw @HTheijsmeijer's session on using technology to move beyond traditional assessment. One thing liked was the idea of replacing the word "effectiveness" with more specific words in the standard rubrics. There is other good stuff too, Check out her slideshow.
Curriculum Tags: All
http://bit.ly/CaptureOAME

I also saw @MSBJacobs and Natalie Reid talking about minding the gaps in student thinking with some great diagnostic tasks that you could really use for any grade. I especially love both the simplicity and effectiveness of the place value ones.
Curriculum Tags: All
https://drive.google.com/file/d/1Mifh3bBfDFIALmO5pcVvKRaHP5_LeI8L/view

I saw one of @TracyZager's session on Going Beyond Group Work and you can see some images below but one other thing I learned is that there are a pile of resources on her book "Becoming the Math Teacher you wish You'd had" on her website
Curriculum Tags: All
http://tjzager.com/

Some ways to create high yield interactions in math class from @TracyZager at #OAME2019 pic.twitter.com/zzRNwqntaI

— David Petro (@davidpetro314) May 17, 2019

The idea of “rough draft” talk in math class is intriguing to me as it makes the connection to writing essays ( for example) via @TracyZager at #Oame2019 pic.twitter.com/vejpYAEfSJ

— David Petro (@davidpetro314) May 17, 2019

Do you know someone who isn't on Twitter but might like to Tweet? Well, they can use an account that @CarlOliwitter created. Just send an email to pushsend2020@gmail.com that has no more than 270 characters and that account will Tweet it out for you anonymously. Pro tip, remove any automatic signature on your email or that will show up in the Tweet. That was part of what he did, you can find more in his slidedeck below
Curriculum Tags: All
https://docs.google.com/presentation/d/1oBvOTkxURjy9-ssbGeGv4xnAEpkvZmBF2xsC71r0WT8/edit?usp=sharing


I did a Breakout Room for mathwith @BoychukMath and @Coachie83 . It was fun and they had a lot of resources on how to create your own in their slide deck
Curriculum Tags: All
http://bit.ly/BreakoutOAME2019

Video Links
One of the examples that @TracyZager used in her session was from a resource on Learn, Teach, Lead featuring @MatthewOldridge where he started with this prompt and then they captured (via video) all of the student thinking around the question "What's a fair price for each cup size?" And although the mathematics fits grade 7 or 8, the discussion could fit any grade. Below is just one of the videos. Click through the link below to see the whole series. Tracy used excerpts from the student clips (third link)
Curriculum Tags: Gr7, Gr8
https://thelearningexchange.ca/projects/loving-the-math-living-the-math-part-1/?pcat=1103&sess=2
https://thelearningexchange.ca/projects/loving-the-math-living-the-math-part-2/?pcat=1103&sess=0
https://thelearningexchange.ca/projects/student-clips/?pcat=1103&sess=0

BCM - The Three-part Lesson: Activating Student Thinking from The Learning Exchange (1) on Vimeo.

Image Links
@Eluberof reminds us that since non routine cognitive jobs are on the rise and routine non cognitive or manual jobs. His entire slidedeck can be found at the link
Curriculum Tags: All
http://bit.ly/Eli-OAME

A couple of slides from @MarkChubb3's session on Making Math Visual
Curriculum Tags: All

@MarkChubb3 #OAME2019 pic.twitter.com/Lujbzqcww8

— Oriana Iafrate-Snoei (@OrianaSnoei) May 16, 2019

“Visual representation is the support for the student that struggles and the challenge for the students who do well.” Great session on “Making Math Visual” at #oame2019 by @MarkChubb3 @OAMElearns pic.twitter.com/P1kPcPtmrW

— Heather Fyfe (@HFLearn) May 16, 2019

I had my #MathGals Shirt on. Get yours here
Curriculum Tags: All
https://twitter.com/stoodle/status/1129002855614959617

#mathgals @samjshah @davidpetro314 pic.twitter.com/mqFBtqBNtf

— Mattie B 🏳️‍🌈 (@stoodle) May 16, 2019

Math Links for Week Ending May 10th, 2019

Featured Links
Thanks to @kreiem I was introduced to Euclidea which, itself is a geometry based game but once you go to the website, you find that it's just the tip of the iceberg. You can play Pythagorea, XSection or a few other geometry and math based games. Euclidea can be played on the web or on Apple or Android products, Pythagorea on Apple or Android and the rest are only on Apple products. Fun stuff for (you or) your kids.
Curriculum Tags: All
https://www.euclidea.xyz/


Resource Links
What a great thread started by @MarkChubb3. Be sure to follow the whole discussion
Curriculum Tags: All
https://twitter.com/MarkChubb3/status/1124356066492469249

I have a question for everyone...
The idea that things can be composed, decomposed & recomposed happens across many areas of mathematics. Can you give a few examples of this happening in the year you teach please.

Your help is appreciated!#mtbos #iteachmath #mathconceptions

— Mark Chubb (@MarkChubb3) May 3, 2019

With a bunch of activities that span from grade 7-10, this collection of Desmos activities (created by @KurtSalisbury & @MrJohnRowe) that are themed around classic video games could be great for your kids. Thanks to @AlgebraDesmos for pointing this out.
Curriculum Tags: Gr7, Gr8, MPM1D, , MFM1P, MPM2D, MFM2P
https://retrodesmos.com/

Video Links
Who knew that chalk could be so awesome
Curriculum Tags: All
https://www.youtube.com/watch?v=PhNUjg9X4g8

A new one from @MathisVisual on solving two step equations. Be sure to click through to the site for all the teacher moves.
Curriculum Tags: Gr7, Gr8
http://mathisvisual.com/two-step-equations/

Image Links
Here is a great primer for deciding what type of graph to use for your data
Curriculum Tags: MDM4U
https://twitter.com/nstamboglis/status/1123910851193450499

Great #dataviz cheat sheet by@evergreendata #datavisualization pic.twitter.com/VWsHBy4Vlc

— Nick Stamboglis 👾💣🚀 (@nstamboglis) May 2, 2019

Math Links for Week Ending May 3rd, 2019

Featured Links
It's no secret that I'm a fan of Desmos and they have been putting out new features steadily. This latest one is the ability to include ordered lists as part of activities now. Whether you create your own activities or use theirs, it's another nice feature to help discover your students' thinking. Check out some of their activities that have that feature already at the link below.
Curriculum Tags: All
https://blog.desmos.com/articles/friday-fave-for-April-26/

Resource Links
Are you thinking about implementing the thinking classroom in your class then this article explaining the 14 key ideas may be helpful but this checklist from @HTheijsmeijer is a nice way to help you along.
Curriculum Tags: All
https://twitter.com/HTheijsmeijer/status/1122632064447070208

Based on @pgliljedahl's blog post for @edutopia on Building a Thinking Classroom in Math, I've made a checklist/self-assessment for teachers looking to implement these ideas. Feel free to use!

Checklist: https://t.co/irbZM6Xx8Z
Original post: https://t.co/u63ts2Kzrk #MTBoS pic.twitter.com/KEXN7r2Poc

— Heather Theijsmeijer (@HTheijsmeijer) April 28, 2019

Some great discussion in the comments from the Tweet plus good resources in the link on this one but a surprising result. Who knew that such a little rotation would cause it to intersect the axis.
Curriculum Tags: MCR3U
https://twitter.com/jamestanton/status/1122147399646896128

Suppose we tilt the graph of y=x^2 (well, rotate it, actually) counterclockwise about the origin just 0.01 degrees. Does the y-axis intercept this tilted graph at some large non-zero value? (From https://t.co/5uTZ0uhUrs) pic.twitter.com/oBFXDl5312

— James Tanton (@jamestanton) April 27, 2019

It's always good to have questions to ask students to keep them thinking while you are working with them.
Curriculum Tags: All
https://twitter.com/conniehamilton/status/1123029200565305345

What questions do you have in your back pocket? Use Qs like these to vary the perspective your questions provide. Straight out of #HackingQs found here: https://t.co/JsZCfHtcIl #HackLearning pic.twitter.com/ZMu69dJRFo

— Connie Hamilton Ed.S (@conniehamilton) April 30, 2019

Opinion Links
I totally get the idea of looking back on my career and thinking that my methods were archaic. In this article @MrBartonMaths talks about his experience which is the context of his new book.
Curriculum Tags: All
https://medium.com/eedi/how-i-wish-id-taught-maths-8ec9b0578228


Article Links
The Misconceptions About Math That Are Keeping Students From Succeeding [Infographic]. Check the link for more detail and all the infographics
Curriculum Tags: All
https://www.forbes.com/sites/kevinanderton/2019/04/28/the-misconceptions-about-math-that-are-keeping-students-from-succeeding-infographic/#4df56d114dd9

Video/Audio Links
I just binge listed to this new (to me podcast) Math Before Breakfast. The premiss of @mathb4breakfast is that two elementary teachers (@math6teacher and @tracyjoproffitt) go for runs together a few mornings a week and talk about their math teaching practice. So they started to record their conversations (thankfully, not while they are actually running). I wasn't sure what to expect when I started to listen but I really love the way that they talk through pedagogical ideas in order to plan out what they are doing in their classes. They share a lot of resources (like tonnes of links per episode) and even if you may have heard of some (or all) of those resources, that peak into their teaching and planning process is really useful. Check it out and all of the other new podcast episodes listed on my podcast page.
Curriculum Tags: Gr7, Gr8
http://ontariomath.blogspot.com/p/podcasts.html

Nice animation to show the sum of exterior angles of a polygon is 360 degrees.
Curriculum Tags: MPM1D, MFM1P
https://twitter.com/robertkaplinsky/status/1122589047803797505

Visualization of why the sum of a polygon's exterior angles equals 360 degrees.

Source: https://t.co/Tmk33J2XWw pic.twitter.com/RpPdXnxNi3

— Robert Kaplinsky (@robertkaplinsky) April 28, 2019

Image Links
Yup, there is some domain and range work that could be done here
Curriculum Tags: MCR3U
https://twitter.com/standupmaths/status/1122064058105180161

I refuse to believe this is real. https://t.co/5kCMCPgX0m pic.twitter.com/9gBQBJuD51

— Matt Parker (@standupmaths) April 27, 2019

Nice Pixelation
Curriculum Tags: All
https://twitter.com/SumDumThum/status/1122215426551894018

Made a graph that pixelates implicit curves: https://t.co/1agdu1mS1m pic.twitter.com/56LorWQ2W4

— Andrew Osborne (@SumDumThum) April 27, 2019

Here's a fun question dealing with squares and triangles. Make sure you check the comments for some solutions (including my own, below).
Curriculum Tags: MPM1D, MFM1P
https://twitter.com/jamestanton/status/1122846062375399426

A square within a square. Does the sum of two yellow areas shown equal the sum of the two green areas? pic.twitter.com/d6P0hBcHMW

— James Tanton (@jamestanton) April 29, 2019

Here's my solution
https://twitter.com/davidpetro314/status/1123196414253621249

Here's a dynamic solution using @desmos Geometry https://t.co/SkgQJvWZod pic.twitter.com/7740LObYVw

— David Petro (@davidpetro314) April 30, 2019

Connecting algebra to number sense
Curriculum Tags: MPM2D, MFM2P
https://twitter.com/jamestanton/status/1124001870496829441

Just a picture. pic.twitter.com/pomEfvibzV

— James Tanton (@jamestanton) May 2, 2019