Math Links for Week Ending May 26th, 2023

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I have recommended this site before and I don't think that I can recommend it enough. Slow Reveal Graphs start with a graph that has been stripped of context: its numbers, its labels, its title. The teacher facilitates a discussion around what students notice and wonder. Then another slide is revealed with some more (but not all) information. And this continues @JennaLaib does a great job of finding these graphs and creating the slideshows for anyone to use. Here is the latest on the Cities with the Greatest Number of Skyscrapers:
Curriculum Tags: MDM4U
https://slowrevealgraphs.com/2023/05/25/the-cities-with-the-greatest-number-of-skyscrapers/

Resource Links

Here is a nice little interactive for projectile motion:
Curriculum Tags: MCR3U
https://twitter.com/dment37/status/1662114112741036034

The parabolic shot that travels the greatest distance is always that of 45° whatever the initial speed.|3Dvisualisation|Animation|@geogebrahttps://t.co/s8R8SUoBzg#geogebra #math #science #iteachmath #mtbos #visualization #elearning @geometry @bancoche#Physics pic.twitter.com/olSBGeGkkg

— Daniel Mentrard (@dment37) May 26, 2023

Video Links

Working with cubes and algebra? Then maybe try this Mystery Number problem
Curriculum Tags: MPM2D
https://twitter.com/howie_hua/status/1661886435409166342

New TikTok video: A quick "think of a number" trick pic.twitter.com/gaWlP6N98v

— Howie Hua (@howie_hua) May 26, 2023

Image Links

Visualize an infinite series like this and you can make the algebra come to life
Curriculum Tags: MCV4U, MHF4U
https://twitter.com/pickover/status/1661879494792163329

Mathematics and mystery.

Visualizing an amazing infinite sum.

A visual demonstration that (3/4) + (3/16) + (3/64) + ... = 1. pic.twitter.com/t5AJdPspGK

— Cliff Pickover (@pickover) May 25, 2023

Math Links for Week Ending May 19th, 2023

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The folks at @Desmos have been promising this for years and although this is still a beta version, you can really start to see the magic of combining the geometry and graphing calculator tools. Have fun
Curriculum Tags: All
https://blog.desmos.com/articles/geometry-beta-release/

🥳The next generation of the Desmos Geometry Tool is here!

The new (beta) version is now connected with the power & depth of our Graphing Calculator. You can read all about why we built this new, dynamic tool on our blog: https://t.co/qBdMTvrOGC#DesmosGeometryBeta pic.twitter.com/QBad1OtvmA

— Desmos (@Desmos) May 12, 2023

Resource Links

I think the first time I saw this site was in 2016 and I'm glad @TheErickLee reminded me of it. 
Curriculum Tags: MDM4U, MAP4C
https://www.guessthecorrelation.com/#

Reviewing correlation in Math 10 means a chance to play #HRCEmath https://t.co/M39W48yYAM pic.twitter.com/uHKI32ZKnB

— Erick Lee HRCE Math (@TheErickLee) May 16, 2023

If you haven't tried one of @SweenyWSween's @Desmos Escape rooms then here are both of them (look in the comments for the teacher version and the original).
Curriculum Tags: All

https://twitter.com/SweenWSweens/status/1659300193118875653

I made a new escape room in Desmos!
Desmos Escape 2: The Museum
Play it here: https://t.co/D4J7ox6U6z

You don't have to log in, but if you do it saves your progress in case you want to come back to it. pic.twitter.com/0EGvTOS2VS

— Sean Sweeney (@SweenWSweens) May 18, 2023

Video Links

I definitely agree with @Howie_Hua here. But mostly because I think that grading students with percents gives a false sense of precision. Just because we can calculate to the nearest percent (or fraction of a percent) doesn't mean it's accurate. Ask yourself whether you can articulated the difference between a student with an 80% and an 85%. This is really a longer rant but my point is that I don't think that over all (or even on any particular question) we can't realistically expect to measure grades any more accurately than plus or minus 5%. 
Curriculum Tags: All
https://twitter.com/howie_hua/status/1657433824119361543

Why I will always round an 89.9% to an A: pic.twitter.com/Z95C9oT8GG

— Howie Hua (@howie_hua) May 13, 2023

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Impossible proofs anyone?
Curriculum Tags: All
https://www.quantamagazine.org/when-math-gets-impossibly-hard-20200914/

Many of the most celebrated results in mathematics are proofs of impossibility.

Read the column from our archive: https://t.co/7DKyhG0rJm pic.twitter.com/FTizovug6U

— Quanta Magazine (@QuantaMagazine) May 19, 2023

Math Links for Week Ending May 12th, 2023

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I like when teachers give a deep dive into the deep thinking that goes into and lies around the lessons that they teach. In this case, @AledaKlassen talks about a student that she troubled to connect with and the eventual success she had while working in the structure of the Thinking Classroom. 
Curriculum Tags: All
https://aledaklassened.wordpress.com/2023/05/03/students-do-not-have-to-have-the-same-experience/

This story of a student in my classroom made a lasting impression on me. And this experience comes from a lot of trial and error with #thinkingclassroom practices.https://t.co/F8R7LZucDR… #iteachmath #wrdsbdestreamed #consolidation

— Aleda Klassen (@aledaklassen) May 4, 2023

Resource Links

I like to be reminded of all the very cool resources that can be found on Mathigon.org. In this case, if you are working with Pascal's Triangle then you might be interested in this interactive resource.
Curriculum Tags: MCR3U
https://mathigon.org/course/sequences/pascals-triangle

"Pascal's" triangle has been studied by people around the world, including some that came long before Pascal. In India, it was known as the “Staircase of Mount Meru”. In Persia, the “Khayyam triangle”, and in China, “Yang Hui’s triangle”. Learn more at https://t.co/797WRZZWjO pic.twitter.com/1xaWDsuu42

— Mathigon (@MathigonOrg) May 10, 2023

NCTM Calendar problems, this time from May of 1994
Curriculum Tags: All
https://karendcampe.wordpress.com/2023/05/01/may-calendar-problems/

New Blog Post! May Calendar Problems#ProblemSolving #MTBoS #iTeachMath #T3Learns https://t.co/dAWXX4KqQw

— Karen Campe (@KarenCampe) May 1, 2023

One of the great things about the "math Twitter verse" is the ability to ask a question and get an answer. In this case We have a question about this activity structure called a "math market". You get a hint of it in @MaryBourassa's post but you get the actual structure of the activity in the comments. Be sure to take a look. 
Curriculum Tags: All
https://twitter.com/MaryBourassa/status/1655690321743732737

Dear #MTBoS,
I have a set of "vectors math market" cards but I do not remember how this math market is supposed to work - are they buying questions and selling me answers??? I'm sure I borrowed the idea from one of you brilliant people - I'm hoping someone can refresh my memory. pic.twitter.com/EBxtqcccRK

— Mary Bourassa (@MaryBourassa) May 8, 2023

Video Links

And a bit more of Pascal's Triangle
Curriculum Tags: MCR3U
https://twitter.com/Ayliean/status/1655173640860598272

Oh Pascal you rascal! pic.twitter.com/1EqWVhK3Rq

— Ayliean (@Ayliean) May 7, 2023

Image Links

Are you looking for an interesting problem that connects to Pythagorean Triples?
Curriculum Tags: Gr8, MTH1W
https://twitter.com/dment37/status/1656904717119766529

Blue area ?@geogebra #geogebra pic.twitter.com/Ix2JKGZtUO

— Daniel Mentrard (@dment37) May 12, 2023

Math Links for Week Ending May 5th, 2023

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I think this may have been one of the first things that I saw from @RobertKaplinski and I immediately loved it. The whole idea of kids just trying to slam numbers into the situation in order to solve a non sensical problem was intriguing. And it lead to finding all kinds of other great resources on his site. If you haven't seen this, follow the link and watch the video and get the other resources and then check out all the other stuff you can find.
Curriculum Tags: All
https://twitter.com/robertkaplinsky/status/1654253074024734725

How do you think your students would respond to the question "There are 125 sheep and five dogs in a flock. How old is the shepherd?"
Watch how 32 eighth graders I interviewed responded. https://t.co/vI9iiwqpKn pic.twitter.com/17GdCGBmIk

— Robert Kaplinsky (@robertkaplinsky) May 4, 2023

Resource Links

I think that you can use this with your students to remind them that all work and no play is not healthy
Curriculum Tags: All
https://twitter.com/MathsCirclesOz/status/1653127443933175811

How to study like a world-class mathematician:

1. Focused work: 3 hours in the morning
2. Daydreaming & long walks: all afternoon.

June Huh won the highest honour in mathematics, the Fields Medal, in 2022.

Image source: Quanta Magazine pic.twitter.com/IGLgqY12nS

— Michaela Epstein (@MathsCirclesOz) May 1, 2023

Video Links

I think that when doing probability questions, it's important to ground them in reality (even if reality may be bent a bit :-) )
Curriculum Tags: MDM4U
https://twitter.com/howie_hua/status/1652078038610513920

In both of these probability questions, you know at least one 1 was rolled. But are the answers the same or different based on what I know? pic.twitter.com/DA2geB9LLC

— Howie Hua (@howie_hua) April 28, 2023

Using "Would You Rather" as a prompt you can turn a relatively mundane topic into something more interesting. And if you want more prompts like this, try @JStephens site WouldYouRather.com
Curriculum Tags: All
https://twitter.com/howie_hua/status/1652324245727514625

I turned one of my most boring math lessons into one of my most engaging ones. Here's how: pic.twitter.com/jEEM2J5hWE

— Howie Hua (@howie_hua) April 29, 2023

Alright, live tessellations.
Curriculum Tags: All
https://twitter.com/RickMohr2/status/1652263814891446273

https://t.co/HlhZT0N0w5 is live, with "tessellations" from artists around the world, where a figure repeats to fill the page with no overlaps or gaps. See the art, understand how it works, and create your own. (Free, with no ads.) Enjoy the site, and please share! pic.twitter.com/hesfZGjP0Q

— Rick Mohr (@RickMohr2) April 29, 2023

Image Links

It was a great couple of days at last week's OAME conference. It was good to see some familiar faces that I hadn't seen face to face in so long. Hopefully you can have some meaningful face to face connections this year too:
Curriculum Tags: All
https://twitter.com/GLewisOCT/status/1652487910493413384

I'm humbled by the connections we make with our district friends at @OMCAmath @OAMElearns - Success stories, common challenges, shared vision drive me to innovate and problem solve in our systems #OAME2023 @paul_math @HTheijsmeijer @davidpetro314 @TeatherBoard 3/x pic.twitter.com/fPZEt9tawk

— Gerard Lewis, OCT (@GLewisOCT) April 30, 2023

Clever :-)
Curriculum Tags: All
https://twitter.com/howie_hua/status/1654079303724720129

May the fourths be "with you" pic.twitter.com/EY5if0FeIS

— Howie Hua (@howie_hua) May 4, 2023

Who knew that ngons with sides that are multiples of 4s had this property?
Curriculum Tags: MCR3U, MHF4U
https://twitter.com/diegorattaggi/status/1158115642425430016

Did you know this before? #mathiratti pic.twitter.com/jMxhckIWAT

— Diego Rattaggi 🇨🇭 (@diegorattaggi) August 4, 2019

      

Math Links for Week Ending Apr 28, 2023

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This week is the OAME2023 conference. Since 2003 I have presented at every conference except 2005. Most years I present entirely new topics though there are some repeats. This year I did a new session on Equation Strips and re did my session on Desmos Challenge Creator plus I updated my 2006 presentation on Math Podcasts for the virtual conference. Most of the slide decks can be found below:
Curriculum Tags: All
https://bit.ly/oame-petro

Resource Links 

OAME2023 - Now that there are some expectations about circles in the MTH1W curriculum, I'm happy to see people talking about them. Check out some of @MSBJacobs' slides for these and other topics
Curriculum Tags: MTH1W
https://www.blogger.com/blog/post/edit/1679081283627498859/292581499102861968#

It’s been a while since i’ve worked with circle theorems and @msbjacobs gave us those, triangle properties and more with physical and @geogebra manipulatives https://t.co/OhrHar16SQ#MathChat #iTeachMath #MTBoS pic.twitter.com/sO1NhFHCxe

— David Petro (@davidpetro314) April 27, 2023

OAME2023 - I have shared a lot of @DavidPoras' stuff here but it's always nice to see him live taking us through some #Polypad tips and tricks
Curriculum Tags: All

https://student.desmos.com/join/7gd8g4

I'm happy to see @davidporas back to present at #OAME2023 this year. I always learn something in his sessions. Check out his @desmosclassroom activity giving us tips and tricks for using #Polypad from @MathigonOrg https://t.co/DWtD6nSxte#MathChat #MTBoS #iTeachMath pic.twitter.com/8vAwkXTWoD

— David Petro (@davidpetro314) April 27, 2023

OAME2023 - Peter Taylor has always been a great source of good problems. He's got a pile of them on his Rabbitmath Site
Curriculum Tags: All

https://www.rabbitmath.ca/

Peter Taylor was back at #OAME2023 giving us wonderful problems to work on. You can find them all at his RabbitMath site. Click on the Curriculum link to see all the fully documented activities.https://t.co/GGRE4z30Ok#MathChat #MTBoS #iTeachMath pic.twitter.com/C4Mf5rHl8i

— David Petro (@davidpetro314) April 28, 2023

And if you are interested in being part of some research with Peter Taylor and Christine Suurtaam, then follow this link:

Curriculum Tags: All

https://www.rabbitmath.ca/announcement

Calling all Ontario Secondary #math teachers. Do you want to participate in research about how you work with creative problems in your classes? There is funding for you to go and tell your storyhttps://t.co/Om3dfXJEld#MathChat #MTBoS #iTeachMath pic.twitter.com/FGmxwAnaAK

— David Petro (@davidpetro314) April 28, 2023

Seeing as we just mentioned circle theorems, above, it is fitting that @Mathigon shared this activity dealing with how Eratosthenes was able to measure the circumference of the earth using some of these ideas. 

Curriculum Tags: MTH1W
https://mathigon.org/course/circles/tangets-chords-arcs#eratosthenes

Happy #EarthDay! More than 2000 years ago, the Greek mathematician Eratosthenes found a way to measure the radius of Earth just using shadows, angles, and simple geometry. Learn more at https://t.co/eXCWnJgq9B pic.twitter.com/lh82JtNusD

— Mathigon (@MathigonOrg) April 22, 2023

Here's another compilation post from @MathsJem. They do the same as me in finding stuff and sharing their finds so I always appreciate when people do that
Curriculum Tags: All
https://www.resourceaholic.com/2023/04/5-maths-gems-169.html

New! My 169th gems post. Ideas, updates and resources for maths teachers. 💎

Quite a lot of revision resources in this one.https://t.co/eMgrrWkm9A

Hap tips to follow.#mathsgems #mathstlp #teammaths #mathschat pic.twitter.com/QwrmgqDHJo

— Jo Morgan (@mathsjem) April 23, 2023

Here is a suite of premade activities from @Geogebra that cover many topics in a dynamic way including Number Systems, Ratio and Proportion, Geometry, Coordinate Geometry, Probability, Statistics, Area, Volume and Surface Area. Thanks to @MrValencia24 for pointing this out

Curriculum Tags: All
https://www.geogebra.org/m/bwdqrnjb

Video Links 

Here's another cool example of someone using these new aperiodic tiling pattern to create something amazing. 
Curriculum Tags:All
https://twitter.com/jon/status/1651539380786413569

the hat trick

12 pentagons and 60 hats come together to create an extremely satisfying sphere pic.twitter.com/I1MN7fQNLk

— jon (@jon) April 27, 2023

Another point that I agree with @Howie_Hua on, use some common sense. Just because things look complex, they aren't.
Curriculum Tags: MCR3U
https://twitter.com/howie_hua/status/1651742577580998656

New TikTok video: Don't get lost in the procedures pic.twitter.com/b7P7tG0vHT

— Howie Hua (@howie_hua) April 28, 2023

Image Links 

OAME2023 - We had @MathForLove as our opening keynote and he talked about the importance and implications of incorporating play in math class
Curriculum Tags: All
https://mathforlove.com/oame-keynote-how-mathematicians-play/

At the #OAME2023 opening keynote @MathforLove tells is that if we let kids play in math class, this is what they’ll learn. https://t.co/T1n94h6vrM#MathChat #iTeachMath #MTBoS pic.twitter.com/hqsfyfwMIL

— David Petro (@davidpetro314) April 27, 2023

If you are not sure what Midjourney is, it is an AI where you can put topics in and it will try to create images based on your topics. In this case, it's the interpretation of these mathematical concepts that produce these awesome images. Be sure to look at the whole thread.
Curriculum Tags: All
https://twitter.com/TivadarDanka/status/1649721970886594561

I described some of the most beautiful and famous mathematical theorems to Midjourney.

Here is how it imagined them:

1. "The set of real numbers is uncountably infinite." pic.twitter.com/l7lOH8f0xc

— Tivadar Danka (@TivadarDanka) April 22, 2023

Here's a nice partial variation prompt 
Curriculum Tags: MTH1W
https://twitter.com/sonukg4india/status/1649222362372673536

#morning with #math pic.twitter.com/mGHRl274Ff

— SKG (@sonukg4india) April 21, 2023

    

Math Links for Week Ending Apr 21, 2023

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I'm a big fan of math based games. Especially when they can be used to hone basic skills. In this case, multiplication facts in the form of a "tic tac toe" style game called Number Hive that you can play against an AI or another online player. And I really like this description and endorsement by @MathGarden. It's pretty easy to get started and play so give it a shot. 
Curriculum Tags: All
https://sunilsingh-42118.medium.com/number-hive-the-clever-gamification-of-factual-fluency-bf37cc7ad3a8

Resource Links

I like a a good "real world" math task. In this case we are looking at whether buying the Subway footlong pass is worth it. In this case @GeoffKrall breaks it down including a rubric for this linear relations activity
Curriculum Tags: MTH1W
https://emergentmath.com/2023/03/23/is-the-subway-footlong-pass-worth-it/

Video Links

I always like how @Howie_Hua breaks down why math "tricks" work. In this case, I don't know if I would call this a classic trick but I have done this sort of algebraic break down for similar problems with my students. 
Curriculum Tags: MTH1W, MPM2D, MFM2P
https://twitter.com/howie_hua/status/1648482560119570432

New TikTok video: In my opinion, it is a missed opportunity if we don't talk about this in algebra class pic.twitter.com/myZdG3RZeB

— Howie Hua (@howie_hua) April 19, 2023

Image Links

When you're introducing the idea of an ordered pair to students, it's often good to start with an image like this to get them thinking about quadrants in a less numerical way.
Curriculum Tags: Gr8, MTH1W, MFM2P
https://xkcd.com/2754/

    

Math Links for Week Ending Apr 14, 2023

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I have been adding podcasts and recorded radio shows that feature math in a direct or indirect way for years to this page (seriously, for more than 15 years). This year, one of my sessions at OAME 2023 is on listening to Math based podcasts. I've added a few more and you can see my whole list here:
Curriculum Tags: All
http://ontariomath.blogspot.com/p/podcasts.html

[Page updated] - New podcasts added to my page on #math related podcast, including @debatemathpod @statsandstories and Carry the Twohttps://t.co/VMJB1Oko9v#MathChat #MTBoS #iTeachMath pic.twitter.com/J0KEWEAHza

— David Petro (@davidpetro314) April 9, 2023

Resource Links

You can always count on @DavidKButlerUoA for interesting resources. If you are at all into looking at statistics and data then I would not miss his set(s) of Data cards.
Curriculum Tags: Gr7, Gr8, MBF3C, MAP4C, MDM4U
https://twitter.com/DavidKButlerUoA/status/1645894205439610881

New improved Carnivorous Plant data cards. Enjoy!
(PDF printable and Excel data here: https://t.co/MKFUqZfVhE ) pic.twitter.com/c5av3FfdkL

— David Butler (@DavidKButlerUoA) April 11, 2023

Video Links

What a fun, non mathematical way to show that f(g(x)) does not equal g(f(x))
Curriculum Tags: MCV4U
https://twitter.com/TimBrzezinski/status/1643991740863627264

#RealLife non-math example that illustrates why function composition is not commutative. #MTBoS #ITeachMath pic.twitter.com/igWZyFx8Fl

— Tim Brzezinski (@TimBrzezinski) April 6, 2023

This demystifies why you get a positive when you divide two negatives. IE go back to first principals
Curriculum Tags: Gr7, Gr8, MTH1W
https://twitter.com/howie_hua/status/1645944160640438272

How I would explain why a negative divided by a negative is a positive pic.twitter.com/1AFlRkhJGd

— Howie Hua (@howie_hua) April 12, 2023

It would be cool to have kids find these multiples on their own in Pascal's Triangle
Curriculum Tags: All
https://twitter.com/74WTungsteno/status/1645789158353551362

Multiples of a number in Pascal's Triangle 🔻🔻🔻https://t.co/QBR8Ur1Ygk#math #science #iteachmath #mtbos #visualization #elearning #algebra pic.twitter.com/g0X81ycVIy

— Tungsteno (@74WTungsteno) April 11, 2023

It's always cool when patterns appear where they, at first, don't seem to exist
Curriculum Tags: All
https://twitter.com/pickover/status/1646637677800833026

Viewing reality from different perspectives.

The hidden patterns and structure in the veils of our lives.

I've found this animation in ~12 Reddit groups from 5 years ago. Does anyone know the original source, so we can give credit? Example source: https://t.co/YPCdssPNLP pic.twitter.com/7FSZnoAjhP

— Cliff Pickover (@pickover) April 13, 2023

Image Links

This seems simple enough (in the set up) but it still makes you think about what happens in the long term
Curriculum Tags: MCV4U, MCR3U, MHF4U
https://twitter.com/jamestanton/status/1644652304501547010

[Classic:] Starting with 0, 1 each term of this sequence beyond the second is the arithmetic average of the two terms just before it. Does this sequence seem to approach a specific value in the long run?
(What if start with two arbitrary numbers a and b?) pic.twitter.com/WpJfCcS8Zr

— James Tanton (@jamestanton) April 8, 2023