Math Links for Week Ending Apr 30, 2021

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It was @DonFraser9 who ask the fun question about songs with numbers in the title. Which sounded like a great discussion and lots of people added songs. Why don't you join the conversation and add your favourite number based song.
Curriculum Tags: All
https://twitter.com/DonFraser9/status/1386714629355749390

Can you think of any songs with a number in the title or in a verse? #MTBoS

— Don Fraser (@DonFraser9) April 26, 2021

Resource Links

I literally was just doing this lesson today on developing the formula for area of a circle
Curriculum Tags: Gr7, Gr8
https://twitter.com/MathTechCoach/status/1385657672649908227

Still have some work to do, but how can this be used to argue that the area of a circle is pi r^2?https://t.co/BT2ST1fCuK pic.twitter.com/Pz8G6nd5C6

— Steve Phelps (@MathTechCoach) April 23, 2021

Video Links

I don't do a lot of work with parametric curves but this is outstanding. The actual Desmos sketch is in the comments. 
Curriculum Tags: MHF4U
https://twitter.com/LukeSelfwalker/status/1387749171709501441

The parametric curve of an elephant is just, I mean, just like, just, oh math goodness awesome. pic.twitter.com/FhyefmsK91

— Luke Walsh (@LukeSelfwalker) April 29, 2021

Image Links

Who doesn't like a good multiplication pattern>
Curriculum Tags: All
https://twitter.com/pickover/status/1385618267209875456

Mathematics and Number Patterns. https://t.co/IfCKgo8rAm pic.twitter.com/lFje3oQGSL

— Cliff Pickover (@pickover) April 23, 2021

Math Links for Week Ending Apr 23, 2021

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In general, humans have difficulty navigating risk. This has been magnified so much because of the pandemic. Some of the same people who refuse to wear a mask (a relatively risky activity right now) also think that vaccines are too dangerous to take. Though there is a risk with vaccines, it is quite small. That's why I like this dynamic visualization about the dangers of getting a vaccine right now. As it plays, a blue dot represents a person who would have died if they didn't get the vaccine and a red dot represents a death after getting a vaccine. Most people will watch this simulation and never see a red dot. There are other stats in the article too, so have a look. 
Curriculum Tags: All
https://www.washingtonpost.com/politics/2021/04/13/risk-reward-calculus-johnson-johnson-vaccine-visualized/

Resource Links

Here is a really nice visualization of the cube of a binomial in 3D
Curriculum Tags: MCR3U, MCF3M, MHF4U
https://twitter.com/CamiloSua_/status/1384193629556592651

(a+b)³ = a³ + 3b²a + 3ba² + b³

🌐 https://t.co/3K62lyx5hb
Hecho en @GeoGebra#GeoGebra #GeoGebraBogotá #AprendiendoGeoGebra #GeoGebraClips #Algebra #Math #Maths #Mathematics #Cube pic.twitter.com/azl90rbgy1

— Camilo Sua (@CamiloSua_) April 19, 2021

Video/Audio Links

Some combinatorics from @onlniekyne with decks of cards
Curriculum Tags: MDM4U
https://twitter.com/onlinekyne/status/1385733738315886592

Card magic! pic.twitter.com/vhfWm0ckps

— Kyne (@onlinekyne) April 23, 2021

One new podcast that I have started to listen to is Math Therapy. In it, the discussion is primarily with those who have struggled with math. I think that this is something that math teachers should hear because sometimes we forget that not everyone gets it and I think the more stories we hear the more empathetic we will become. As a sample, however, I chose the episode with Science Sam, one of my favourite (Canadian) science communicators. Check this and the rest of the math podcast episodes out on my podcast page. 
Curriculum Tags: All
https://ontariomath.blogspot.com/p/podcasts.html

If you are looking for a good Fermi problem, how about this one on estimating the amount of vaccine needed to vaccinate the world from More Or Less. Check this and the rest of the math podcast episodes out on my podcast page. https://ontariomath.blogspot.com/p/podcasts.html
Curriculum Tags: All
https://www.bbc.co.uk/programmes/p09dwvsh

One more podcast. This time from Short Wave and an episode about a professor who tries to bring the community to mathematics, especially about mathematicians in the black community. Check this and the rest of the math podcast episodes out on my podcast page https://ontariomath.blogspot.com/p/podcasts.html.
Curriculum Tags: All
https://www.npr.org/2021/04/12/986580131/a-classroom-where-math-and-community-intersect

Image Links

Here's a cool interactive that shows you which hobby was trending a year ago for any given day. Click through for the interactive. 
Curriculum Tags: MDM4U
https://lockdown-trends.appspot.com/

    

Math Links for Week Ending Apr 16th, 2021

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Given the shear amount of information we are bombarded with regarding C19 stats, it's important to make sure we talk to our students about how information is presented, even if it's just in text form. Context can be everything
Curriculum Tags: Gr7, Gr8, MDM4U
https://twitter.com/dtkung/status/1382848416636661765

Great question for a #MathForSocialJustice class:

What's misleading about the original @cnn tweet?

What's misleading about @PatFinelli's retweet?

(Don't know about CNN, but the replies make it clear that Pat knows what's wrong with his.) pic.twitter.com/uEmBf3Xzhv

— Dave Kung (龚仲孝) (@dtkung) April 16, 2021

Resource Links

I'm always looking for new ideas for doing unit reviews with students 
Curriculum Tags:All
https://twitter.com/howie_hua/status/1382491625813811200

For review sessions, I make study guides on Google Slides where each slide has a few questions on a topic. Students comment or post pictures of their solutions so they can help each other out. Rather than the teacher choosing what to review, students can choose what to work on.

— Howie Hua (@howie_hua) April 15, 2021

I think we can never have enough visuals of the proof of Pythagorean Theorem. I think that this one would be a good one to discuss with students
Curriculum Tags: Gr8, MPM1D, MFM1P
https://twitter.com/panlepan/status/1382636350596333571

Pythagoras proof animated with @geoegebra #shearing #translationhttps://t.co/GcpY0Ekl4y pic.twitter.com/QEiYAY168R

— Vincent Pantal🍩ni (@panlepan) April 15, 2021

I have created activities that use this visual proof of the sum of the angles in a triangle but I like this demo file that @TimBrzezinski created
Curriculum Tags: Gr8, MPM1D, MFM1P
https://twitter.com/TimBrzezinski/status/1381614982392123393

Messing around in @Desmos. Shout out, T/Y, & credit to @von_Oy for her insight re: defining the sector parametrically (in 3 lines): https://t.co/YijEXM8WMJ @AlgebraDesmos #MTBoS #ITeachMath #geometry #elemmathchat #msmathchat pic.twitter.com/1FqEG6xpY2

— Tim Brzezinski (@TimBrzezinski) April 12, 2021

Video Links

So many math famous people in this tribute video, can you name them all?
Curriculum Tags: All
https://twitter.com/edsouthall/status/1259937974676045825

So I asked my favourite mathematicians and maths educators if they'd help me make a tribute to Tom Lehrer...

Hope this brings you a smile! pic.twitter.com/b7esn5iHGG

— Ed Southall (@edsouthall) May 11, 2020

Image Links

A couple of math jokes Do you get them?
Curriculum Tags: Gr7
https://twitter.com/pickover/status/1382120320845369348

This is a mathematics joke involving a PIN (personal identification number). pic.twitter.com/5BXo4GB24L

— Cliff Pickover (@pickover) April 13, 2021

Curriculum Tags: MHF4U
https://twitter.com/pickover/status/1381788789220249603

This is a mathematics joke. https://t.co/efDbvEuQcE pic.twitter.com/Jn9SscMD5H

— Cliff Pickover (@pickover) April 13, 2021    

Math Links for Week Ending Apr. 9th, 2022

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This reminds me of my Percent Guesser but it's way better. 
Curriculum Tags: Gr7, Gr8
https://twitter.com/kurt_salisbury/status/1379069206977777672

How good are you at estimating fractions? @desmos #iteachmath #mtboshttps://t.co/Uwke3OsJSi pic.twitter.com/kx4VA9wrAO

— Kurt Salisbury (@kurt_salisbury) April 5, 2021

Resource Links 

I have always loved the ability to show math relationships with physical constructions. In this case, from @DPScher, we investigate the sum of the angles in a triangle. I have a @Desmos version here but this is way more hands on. 
Curriculum Tags: Gr8, MPM1D, MFM1P
http://www.sineofthetimes.org/triangle-angle-sum-embodied/

I don't think Marilyn Burns has invented this game but it's a good starter that can be used at any age. It seems like it's easy and it is easy to play. But to consistently win, you have to create a strategy. Try it out
Curriculum Tags: All
https://marilynburnsmath.com/race-for-20%e2%80%95a-counting-game-for-all-ages/

Something that most kids can probably relate to is the tooth fairy. So why not a step function representation of tooth fairy earnings? With this interactive, you can actually play with the parameters and see how things might change.
Curriculum Tags: MCR3U, MHF4U
https://flowingdata.com/2021/04/08/tooth-fairy-exchange-rate/

Video/Audio Links 

I have recently read @TimHarford's new book The Data Detective and there is one story in it about Florence Nightingale and her famous graph that told the story of the infections happening and why increasing sanitary conditions would lower the death rate in the military hospitals. Before you hear that story you might want to watch this to get a visual of the actual graphs she was making
Curriculum Tags: MDM4U
https://www.youtube.com/watch?v=VTdVPNvwULM

And now here is @TimHarford's story from his book and on his podcast Cautionary Tales. In it he digs way deeper into the story and actually talks about some more hidden sides. 
Curriculum Tags: MDM4U
https://timharford.com/2021/03/cautionary-tales-florence-nightingale-and-her-geeks-declare-war-on-death/

A few weeks ago I posted a video from @standupmaths about proving there was cheating happening on a record breaking speed run on MineCraft. Here's a shorter audio version from the @BBCMoreOrLess podcast.
Curriculum Tags: MDM4U
https://www.bbc.co.uk/programmes/p09ch7qv

Image Links 

A good way to bring the real world into proving things in analytic geometry
Curriculum Tags: MPM2D
https://twitter.com/MrValencia24/status/1374434972585496577

Today geometry ss at #WeAreChappaqua used @geogebra to prove/disprove a real object in their house was a parallelogram using a method of their choice 🙂#MTBoS #ITeachMath #MathisFun #MathRocks #MathPlay #MathEd pic.twitter.com/XCZ4ohUVES

— Libo Valencia (@MrValencia24) March 23, 2021

Math Links for Week Ending Apr. 2nd, 2021

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I have a pile of @Desmos activities that are useable but not ready for primetime (if you are interested here's a link) but I am slowly cleaning them up and releasing them. In this case, it's a way to introduce the Pythagorean theorem by focusing on the area model, well before just looking at the abstract relationship. 
Curriculum Tags: Gr8, MPM1D, MFM1P
https://teacher.desmos.com/activitybuilder/custom/5ef94d7221f7d778901d9338

I've also learned some Pattern Matching in Desmos CL from @MrChowMath and released a couple of others. One on investigating Pi and the other on Scientific Notation (with two versions - one with only positive exponents the other with both positive and negative). 
Curriculum Tags: Gr7, Gr8
https://teacher.desmos.com/activitybuilder/custom/603c2e023614df0d4f67c7aa
https://teacher.desmos.com/activitybuilder/custom/5f713da629b5b60b2f6a5aac
https://teacher.desmos.com/activitybuilder/custom/5f6c7c97a9176f3ebf55f986

[New @Desmos Activity] If you have done an informal activity where students measure the circumference & diameter of various circles to estimate Pi, then this short activity helps to solidify that it's actually 3.14https://t.co/JUNFclWxKi#MathChat #MTBoS #iTeachMath pic.twitter.com/i9lFDB14E6

— David Petro (@davidpetro314) March 28, 2021

[New @Desmos Activity] Thanks to @mrchowmath and his pattern matching tutorial videos, I finally have this set of scientific notation practice problems working wellhttps://t.co/JUNFclWxKi#MathChat #MTBoS #iTeachMath pic.twitter.com/7TFk6SGazM

— David Petro (@davidpetro314) March 28, 2021

Resource Links
I was just talking about this problem in class in the context of Pi Day. Now we have a way to do multiple experiments. 
Curriculum Tags: MDM4U
https://twitter.com/Christophe_Sew/status/1376843025784008710

Toothpicks ✅
Paper ✅@desmos activity ✅

All ready for some Buffon's Needle tomorrow. 🧮https://t.co/S33WXtOwLm@davidpetro314 #ImproveMyAB #ITeachMath pic.twitter.com/QfUSAkxIhs

— Mr. S (@Christophe_Sew) March 30, 2021

Have you heard? There was a ship stuck in the Suez Canal. This article has so much good information, I dare you not to come up with at least one related math problem. 
Curriculum Tags: All
https://www.washingtonpost.com/world/2021/03/25/faq-suez-canal-ever-given/

Lots of information here that you could easily create some #math problems out of https://t.co/dMIF0qnLaK

Pythagorean Theorem, Ratios, Trig, angles and more#MathChat #MTBoS #iTeachMath

— David Petro (@davidpetro314) March 28, 2021

I can't get enough of these #SlowRevealGraphs from @jennalaib. Be sure to check out the entire site for all the posts. 
Curriculum Tags: Gr7, Gr8, MBF3C, MDM4U
https://slowrevealgraphs.com/2021/03/29/speedy-animals/

I like skyscraper puzzles, an now a @Desmos version
Curriculum Tags: All
https://twitter.com/TMonark/status/1378074463141519363

I edited @TheErickLee 's awesome #SkyScrappersPuzzle with a "Reset" button with the help of @mrchowmath and offered it to my Geometry class before we start doing #TriangleCongruence and it was fun and full of #LogicalThinking #MTBoS https://t.co/lImwtjpqWj pic.twitter.com/EYF3sYzfm3

— Monark Trivedi (@TMonark) April 2, 2021

Video Links

This is older but I hadn't seen it before. Good for probability discussions including the need for multiply trials in order to have experimental probability match theoretical. Thanks to @robinmath3 for pointing this one out. 
Curriculum Tags: Gr7, Gr8, MDM4U, MBF3C
https://www.youtube.com/watch?v=FRlbNOno5VA

I had to look up what the Euclidian Algorithm was but thanks to this video, I have a better idea. 
Curriculum Tags: Gr7, Gr8

https://twitter.com/howie_hua/status/1369476859092557826

Tactile version of the Euclidean Algorithm pic.twitter.com/Hjj5TEO5Q3

— Howie Hua (@howie_hua) March 10, 2021

A couple more pattern matching videos from @MrChowMath for those Desmos CL-Heads out their
Curriculum Tags: All
https://www.youtube.com/watch?v=oPAevo7CaHU
https://www.youtube.com/watch?v=JTAGsw1InOg

Image Links

Here's a good reminder of why this classic thinking problem is a good one
Curriculum Tags:All
https://twitter.com/MrValencia24/status/1375499464509681667

Inspired by the work of @pgliljedahl, today ss at #WeAreChappaqua experienced a different approach.

Engagement ✔️
Collaboration ✔️
Knowledge Mobility ✔️
Gallery Walk ✔️#ThinkingClassroom ✔️#MathPlay ✔️#MTBoS #ITeachMath #MathisFun #MathRocks #MathArt #MathEd pic.twitter.com/fKPb5JjO02

— Libo Valencia (@MrValencia24) March 26, 2021

And Ever Given keeps giving us math problems
Curriculum Tags: Gr8, MPM1D, MFM1P
https://twitter.com/howie_hua/status/1375660413065437187

Math teachers: "Okay class, given line m is parallel to line n and angle a is 135 degrees, find the measure of the missing angles." pic.twitter.com/7dB25JYxTt

— Howie Hua (@howie_hua) March 27, 2021

This seems like a pretty complex way to calculate root 2 but I like it.

Curriculum Tags: All
https://twitter.com/pickover/status/1375493243266289671

This is mathematics. https://t.co/0pMybzHYfP pic.twitter.com/Qe0s71LpHk

— Cliff Pickover (@pickover) March 26, 2021

I've always like this story about Ramanajan
Curriculum Tags: All

https://twitter.com/fermatslibrary/status/1376525060488454153

1729 was the number of the cab that G.H. Hardy took when he visited S. Ramanujan in the hospital.

Hardy thought it was a "dull number" and Ramanujan replied "it is a very interesting number. It is the smallest number expressible as the sum of two cubes in two different ways" pic.twitter.com/OFc0UATSXR

— Fermat's Library (@fermatslibrary) March 29, 2021