Math Links for Week Ending Mar. 29th, 2019

Featured Links
So this just fascinated me that such a simple looking sinusoid related equation can have a graph that looks like this
Curriculum Tags: All
https://twitter.com/LukeSelfwalker/status/1110640257404407813

Go to https://t.co/oQe1YNrDFq

1) Create a slider a=1.
2) Plot cos(ax+y)≤sin(x-ay)#RandomActsOfDesmos pic.twitter.com/VekNTVssBU

— Luke Walsh (@LukeSelfwalker) March 26, 2019

Resourse Links
Some mathematical ties from @MrNiksMathClass. A nice visualization of families of functions. You might extend this to sinusoidal functions or polynomial functions too. Click on the link to get the solution.
Curriculum Tags: MCR3U, MHF4U
https://twitter.com/MrNiksMathClass/status/1109795357683261440




Also from @MrNiksMathClass is this deep thinking calculus problem idea where you take away the vertical axis for students to do their analysis with. Click on the link to get the solution
Curriculum Tags: MCV4U
https://twitter.com/MrNiksMathClass/status/1110130693101752322







Did you know that if you have your music stored in an iTunes library, that it's loaded with data just waiting for you (and your students) to analyze? Yup, it turns out that there is metadata associated with each song and you can get that data to analyze. Check out the link for all the ways.
Curriculum Tags: MDM4U
http://found-data.blogspot.com/2019/03/mining-meta-data-in-your-itunes-library.html

Opinion Links
Focussing on visual learning and mental math is the theme of this post from @HTheijsmeijer where she talks about her experience with these things in a grade 8 & 10 class. Some good tips including choosing your representations ahead of time and practicing your annotations in advance. Read on below
Curriculum Tags: All
http://modelthelearning.blogspot.com/2019/03/when-drawing-is-not-just-drawing.html

Video Links
Nothing like some math fun with this animated birthday cake from @von_oy
Curriculum Tags: All
https://twitter.com/von_Oy/status/1109251178230153216

A @Desmos birthday cake!https://t.co/zhZiK4QSjf#MTBoS #iteachmath #mathart pic.twitter.com/5j7ah42jFg

— Suzanne von Oy (@von_Oy) March 23, 2019

Here, @SumDumThum continues to create these animated tessellation patterns
Curriculum Tags: All
https://twitter.com/SumDumThum/status/1109229911141552128

https://t.co/mdygcW79z8 pic.twitter.com/fPmn7r7i5D

— Andrew Osborne (@SumDumThum) March 22, 2019

It seems these dynamic data visualizations of top 10 lists continue. Since baseballs season has started, here's one about players with the most walks over the last 100 years or so.
Curriculum Tags: MDM4U
https://twitter.com/darenw/status/1108512230532886529

Top 10 all time @MLB walks by year starting in 1900. 🚶🚶🚶 pic.twitter.com/3PCgqfsPI0

— Daren Willman (@darenw) March 20, 2019

And here's another one. This time its largest cities over the last 500 years. Thank to @KMarkPet for this one.
Curriculum Tags: MDM4U
https://www.youtube.com/watch?v=k2uoqJmJaGo

Image Links
Yup, it's a problem
Curriculum Tags: All
https://twitter.com/MrsNewell22/status/1110960377762705409

Dear @Walmart,
This shirt, which is marked as "hilarious girls' shirt" on your website, is offensive, inappropriate, & contributing to negative stereotypes about girls. As a mom & educator, I ask you to remove this product immediately. #MTBoS #MathGals
PLEASE RETWEET! pic.twitter.com/NpRkZa8HtF

— Chrissy Newell (@MrsNewell22) March 27, 2019

Yup, Units matter
Curriculum Tags: Gr7, Gr8, MBF3C, MAP4C
https://twitter.com/robertkaplinsky/status/1110212353574858752

Have you heard of the "world's littlest skyscraper" in TX? They got funding in 1919 saying it would be 480 tall. Investors assumed they meant 480 feet but it was labeled 480 inches in the blueprints. The investors sued and lost: https://t.co/6ozW4MVaAh #unitchat #mp6 pic.twitter.com/uIQTUR1ul2

— Robert Kaplinsky (@robertkaplinsky) March 25, 2019

Check out the comments for all the interesting solutions.
Curriculum Tags: MCR3U
https://twitter.com/Cshearer41/status/1110638446861799424

The right-angled triangle covers ¼ of the square. What fraction does the isosceles triangle cover? pic.twitter.com/idbNgdFNnW

— Catriona Shearer (@Cshearer41) March 26, 2019

Math Links for Week Ending Mar. 22nd, 2019

Featured Links
It's always good to hear that the folks at @ONmathies continue to refine and update their apps. The latest is a fresh version of the pattern block app. So now, not only do you have an infinite amount of pattern blocks to use but you have more than the standard blocks (with more to come) but you can now save your work and upload it later. Here is the saved file from this image if you want to try out uploading into your own Patter Block app.
Curriculum Tags: Gr7, Gr8, MPM1D, MFM1P
https://mathies.ca/learningTools.php#Pp0

Resource Links
I have long been an advocate of coupling proving trig identities algebraically with verifying them graphically. Now @LukeSelfWalker has had the same idea and taken it to the next level with @Desmos Activity Builder. Check it out.
Curriculum Tags: MCR3U, MHF4U
https://twitter.com/LukeSelfwalker/status/1107974858745491456

Using the Desmos table feature as a structure in proving trig identities. Then students see graphs of all of their steps as a way to check to their work. There is a lot of opportunity here to use snapshots in showcasing different paths for a proof. https://t.co/xEGe76HCNX pic.twitter.com/sLaNYrTyHl

— Luke Walsh (@LukeSelfwalker) March 19, 2019

Do you want to have your students practice their fundamental skills in an engaging way? Then you might want to use @GFletchy's subitizing multiplication cards. This is an update to his original cardset and includes over 100 cards including some to focus on students moving away from counting.
Curriculum Tags: Gr7, Gr8, MAT1L, MAT2L
https://gfletchy.com/2019/03/17/multiplication-subitizing-cards/

Here's a neat idea, @MrNiksMathClass has developed what he calls Elastic Band Puzzles where the purpose is to find the sets of values that have the same characteristic. In these three examples it's the zero principal, fractions adding to 1 and factorable trinomials.
Curriculum Tags: Gr7, MPM1D, MFM1P, MPM2D, MFM2P
https://twitter.com/MrNiksMathClass/status/1106497179127025664

These are examples of my "Three Elastic Bands Puzzles" (simple to make, use with any concept, packed with thinking). Pick a theme and create 3 groupings. Then, challenge your kids to identify the groups by drawing non-overlapping elastic bands around each. #tvdsbmath #iteachmath pic.twitter.com/ZdBqLunna7

— Math with P. Nik (@MrNiksMathClass) March 15, 2019

This data originally came out in 2014 but has recently been updated with 75 new artists. It shows the hip hop artists who have the highest number of words used in their first 35000 lyrics. The data is interactive on the original post and I have pulled out the raw data so that your students can actually use it for some single variable analysis.
Curriculum Tags: MDM4U, MBF3C
https://found-data.blogspot.com/2019/03/hip-hop-vocabulary.html

Video Links
Here's a nice video display of some data about the proportion of highest paid artists who are female from @MonaChalabi. It's a simple representation but the animation makes it look so elegant.
Curriculum Tags: MDM4U
https://www.instagram.com/p/BugsC0Jlu9Z/?utm_source=ig_web_button_share_sheet

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Art never seemed like a career that could give me financial security (and good god I want financial security). The fact is, women's art is just valued less than men's art. At best, 7 of the 100 highest paid artists in the world have been women, at worst, just 1. Biiiiiig thank you to @tate and @womeninthearts for commissioning me to do this! Source: Magnus.net (2007-2017)

A post shared by Mona Chalabi (@monachalabi) on Mar 2, 2019 at 7:29am PST

Some interesting looking patterns.
Curriculum Tags: Gr7, Gr8
https://twitter.com/solvemymaths/status/1106868124090011648

1 + 2 = 3

4 + 5 + 6 = 7 + 8

9 + 10 + 11 + 12 = 13 + 14 + 15

16 + 17 + 18 + 19 + 20 = 21 + 22 + 23 + 24

n²+(n² +1)+...+(n²+n)=(n²+n+1)+...+(n²+2n) pic.twitter.com/GMbeh5BpPO

— Ed Southall (@solvemymaths) March 16, 2019

Image Links
I love this visualization from @MonaChalabi where she looks at the preferred age of date from dating site data. It's pretty interesting how this is split by gender.
Curriculum Tags: MDM4U
https://www.instagram.com/p/BvPK8-hHFnx/?utm_source=ig_web_button_share_sheet

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Preparing my slides for a talk tonight @nytimes about why I don’t date older men. See second photo 🤮. Source: Data from OKCupid's users, 2014 (tens of millions of preferences were analysed by the site's founder Christian Rudder. I also copied his data visualisation technique here because it works so well). I'm really sorry that there isn't good data on same-sex attraction - will keep hunting!

A post shared by Mona Chalabi (@monachalabi) on Mar 20, 2019 at 9:36am PDT

Math Links for Week Ending Mar. 15, 2019

Featured Links
I have always been a fan of MC Escher so this dynamic Escheresque tiling by @GHSMaths is super awesome. I have created my own dynamic sketch where you could make your own tessellation here but this is just way more attractive. Make sure you click on the link in the Tweet so you can get the original Desmos sketch.
Curriculum Tags: Gr7
https://twitter.com/GHSMaths/status/1104522817989763072

Tiling turtles 🐢https://t.co/QDnfjLKlY1#mathart (cc @Trianglemancsd) pic.twitter.com/5Ct753zyoH

— Martin Holtham (@GHSMaths) March 9, 2019

Resource Links
Here is a nice little dynamic sketch that demonstrates this interesting geometric property. Take a quadrilateral and create similar quadrilaterals on two adjacent sides and keep doing that and, as it turns out, those two lines of quadrilaterals will always spiral towards each other. So @dpscher has made a dynamic sketch to show it works for all quadrilaterals. Check it out at the link below.
Curriculum tags: Gr7, Gr8, MPM1D, MFM1P
http://www.sineofthetimes.org/a-double-spiral-from-david-henderson/




If you like @SteveWyborney's Splat or Estimation resources then you will like this newly released content for 20 days of Number Sense and Rich Math Talk. In it he has 20 new activities and each could be used in a grade k all the way to grade 12 class (depending on how you use it. It's all new content so there is no need to worry about overlap if you are already using his stuff. And if you are not, you should be.
Curriculum Tags: All
https://www.stevewyborney.com/?p=1891

Article Links
Yup, there's a new record for the number of digits of Pi that we know.
Curriculum Tags: All
https://fivethirtyeight.com/features/even-after-31-trillion-digits-were-still-no-closer-to-the-end-of-pi/











Video/Audio Links
It's time for @ViHartViHart's 9th annual Pi Day video and even she (purposely) makes a mistake it's just fun to hear her say "...that words are just sounds made out of our vibrating meat flaps...".
Curriculum Tags: All
http://vihart.com/pi-day-2019-6-digits-of-pi-%F0%9F%8D%B0/

Image Links
Some great work with area here from @JStevens009 in this new Would you Rather?
Curriculum Tags: Gr7, Gr8
http://www.wouldyourathermath.com/birthday-cake/

Math Links for Week Ending Mar. 8th, 2019

Featured Links
So this popped up in my feed a couple of time and I love the idea but not so much the reaction. The idea is that you have your student track their phone notifications for 30 min (or a whole period). The end result is basically that phones are a distraction. Up until that point, I am with most people. However, much of the response (when you look at the Tweets) amounts to "see, that's why phones shouldn't be allowed in class". I think differently. I think that these devices that our students bring to class everyday are among the most powerful learning tools they can have (for one, they have the sum total of all human knowledge at their literal finger tips) and we should be exploiting them. But this experiment shows that students (and most humans) are distracted by them.

This is where I think we have to come in. We (all teachers in all subject areas) should take it upon ourselves to help students navigate those distractions and show them proper uses of these devices. If we want them to become productive members of society, part of what they have to learn is how not to be distracted by all those notifications. And who better to teach them that is us while we have them sitting with us for 5 hours a day? So we have to show them how to turn their notifications off, how to have their phones within reach without actually reaching for them and show them when it's appropriate to use them. If students don't get to practice those skills in a low stakes environment, how can we expect them to master them when it counts (ie when they are actually at a job).
Curriculum Tags: All
https://twitter.com/loudlearning/status/1102211998522241024

Are cell phones a distraction in class? A math teacher asked her class to tally every text & notification.THIS is what the board looked like after 30 minutes.
☑️23 students
☑️58 texts
☑️182 social media notifications
☑️28 other notifications
That's 268 disruptions in 1/2 an hour! pic.twitter.com/uglyx6o3XD

— тσм ℓσυ∂ (@loudlearning) March 3, 2019

https://twitter.com/courosa/status/1103528663243476992

"A teacher had her students turn their phone volume up and create a tally of the notifications they received in a single class period." #edchat #digcit pic.twitter.com/4W5Hy4t1EW

— Dr. Alec Couros (@courosa) March 7, 2019

Resource Links
Here is a great little activity from @MrSchwen. It's a single Desmos activity slide where students are given two points on a grid and asked to come up with the equation of the line between them. It then checks their answer and if it's not correct it will show them a custom solution based on their mistake. Then the can try again with a randomly generated set of new points. Perfect for practicing this skill.
Curriculum Tags: MPM1D, MFM2P
https://teacher.desmos.com/activitybuilder/custom/5c754e10fbfa1e570a1389fe

A couple of new features in Desmos. One is a zoom fit button for tables. With the new statistics functions came this feature and now it's extended to tables. Just create your table and then click the little magnifying glass with a plus sign and the axes will scale to maximize the view of the data. The next thing is that you can now copy whole slides from one activity to another within Activity Builder. Simply get into edit mode on your two activities (the one you want to copy from and the one you want to copy to), select the slide you want to copy and use ctrl-c (command-C on a Mac) and then go to your new activity and use ctrl-v (command-V on a Mac) to paste it there.
Curriculum Tags: All
https://twitter.com/Desmos/status/1102948328403230720

Okay – here's how you copy screens between activities! pic.twitter.com/N6cLt5bIf8

— Desmos.com (@Desmos) March 5, 2019

Be sure to read this whole thread (click into the actual Tweet link) to show how minor changes to interpretations can lead to wildly differing conclusions. Perfect for any senior statistics class
Curriculum Tags: MDM4U
https://twitter.com/TysonWepprich/status/1101518183322677248

This new @PNASNews paper estimates 100+ year monarch butterfly and milkweed abundance, which is cool but…1/https://t.co/SApYTfuri5 pic.twitter.com/6fIuZwXpa6

— Tyson Wepprich (@TysonWepprich) March 1, 2019

Have kids sort into groups by matching up radicals and mixed radicals
Curriculum Tags: All
https://twitter.com/pejorgens/status/1103076011464261633

d125 #teach180 Human sort at the door today. Instead of a playing card each student received a radical card. They needed to find their group of 3 others with an equivalent radical. Discussion about my group of 5 dilemma continued after school. https://t.co/askdU9uxyK #iteachmath pic.twitter.com/DXYbcQE7oA

— Paul Jorgens (@pejorgens) March 5, 2019

Video/Audio Links
Hey it's Pi Day coming up this week and this year @standupmaths is physically creating a partial infinite series with a balance to estimate the value of Pi. For the rest of my Pi Day resources, you can click here.
Curriculum Tags: All
https://www.youtube.com/watch?v=S26_O2B8h8k

Image Links
What a great and fun way to create fraction rulers. So easy.
Curriculum Tags: Gr7, Gr8
https://twitter.com/geoffwake1/status/1103340618250678274

This page......
"let's make a fraction ruler" from a Japanese text book (in both English and Japanese). From Grade 3 (Year 4).
Great starting point for lesson with many year groups? pic.twitter.com/cq9sBw53Jk

— Geoff Wake 🇪🇺 (@geoffwake1) March 6, 2019

Here's a great Prime Climb/Which One Doesn't Belong mashup
Curriculum Tags: All
https://twitter.com/nomad_penguin/status/1101562266510479360

Which one doesn’t belong? (With thanks to @Simon_Gregg for the idea!) #wodb #PrimeClimb pic.twitter.com/58hgpfflpr

— Amie Albrecht (@nomad_penguin) March 1, 2019

Nicely done
Curriculum Tags: All
https://twitter.com/Trianglemancsd/status/1103133737531949056

This came out well. pic.twitter.com/hlkrlYQa2j

— Christopher Danielson (@Trianglemancsd) March 6, 2019

Math Links for Week Ending Mar. 1st, 2019

Featured Links
Say it loud and say it proud
Curriculum Tags: All
https://www.youtube.com/watch?v=t6hZbuQCQBc

Resource Links

I've been sitting on this post for a while. In my quest to find all kinds of data sets that students can use for analysis, it's always fun to find one that is interesting in some way. This one isn't a particularly interesting data set (its a very linear set of data) but it's origins are fairly interesting. I got it from a 3Act Task that @Gfletchy did. I probably would do the 3Act Task first then have kids analyze the data. I think the best questions you could ask is to check whether she keeps the same skipping rate throughout the whole 30s of skipping. Check out all the data and the original video at the link below
Curriculum Tags: MPM1D, MFM1P, MDM4U, MAP4U
http://found-data.blogspot.com/2019/02/skipping-world-record.html

I'm a big fan of cardsorts for kids to practice skills. In this one @TypeAMathLand has created a Difference of Squares, Perfect Square Trinomial, or Neither Sort. Clearly this is a labour intensive creation to come up with the equations but she has done all the work fo you so just print it out, cut it up and you're ready. Thanks to @mathequalslove for pointing this out.
Curriculum Tags: MPM2D, MBF3C
https://docs.google.com/document/d/1Rz5P9Xb4ynxIxMqAV7zGyL3bcdf3Uq9nNhjergbg82o/edit

Video/Audio Links
This is such a nice visualization from @anniek_p on the connection between the unit circle and the sine curve.
Curriculum Tags: MCR3U, MHF4U
https://twitter.com/anniek_p/status/1098699366410407936

I spent way too long making this, but at least 4 kids "ooh-ed" when the sine wave appeared, so...win? #mtbos #iteachmath pic.twitter.com/ljwv7zh8Tl

— Annie Perkins (@anniek_p) February 21, 2019

Here is a great 5 minute Ignite talk from @MathMinds where she talks about the importance of thinking of our lessons more like a mathematical story. Thanks to @MFAnnie for pointing this one out.
Curriculum Tags: All
https://youtu.be/LjkJBHdUXRM

Some conservation of momentum calculations from @standupmaths in doing this classic physics problem. Perfect for any solving simple equations curriculum.
Curriculum Tags: Gr8, MPM1D, MFM1P
https://www.youtube.com/watch?v=IoYm8lcJQ0o

Some fun Futurama based math with exponents, primes and binary numbers from @SLSingh on @numberphile.
Curriculum Tags: Gr8, MPM1D, MFM1P
https://www.youtube.com/watch?v=IKwkX35bcdw

Thanks to @Gelada I now know that sometimes you can't tile the plane with some shapes but you can partially tile the plane and that can be described by a Heesch number. And as an added bonus I would check out his geometry based colouring books (with @alexbelos)
Curriculum Tags: Gr7
https://www.youtube.com/watch?v=6aFcgATW9Mw

And as another added bonus from @Gelada, check out the cool way these shapes unpack.
Curriculum Tags: All
https://twitter.com/Gelada/status/1087175478966960128

The moment you have been waiting for...unpacking from the #curvahedrajourney cc @curvahedra @MoMath1 #mathart pic.twitter.com/UOSbTeAocf

— Edmund Harriss (@Gelada) January 21, 2019

Image Links
I see parabolas and circles, what other math do you see? Check out the thread to get the actual Geogebra sketch.
Curriculum Tags: MPM2D, MCR3U
https://twitter.com/panlepan/status/1100782212973248512

How juggling works. @geogebra pic.twitter.com/gNptdkFb3a

— Vincent Pantal🍩ni (@panlepan) February 27, 2019

Yeah, that's definitely fun
Curriculum Tags: All
https://twitter.com/SumDumThum/status/1099805542669783042

https://t.co/TCbwjITNKh pic.twitter.com/lXu6HkH2h5

— Andrew Osborne (@SumDumThum) February 24, 2019

Yup, that'll do it
Curriculum Tags: MDM4U
https://xkcd.com/2118/

Here's a great way to visualize those 3D trig problems. Thanks to @mathequalslove for pointing this out.
Curriculum Tags: MCR3U, MCF3M, MAP4C
https://twitter.com/kanchan24saxena/status/976332651463303171

Couldn’t have used my treasure in a better way. Modelling 3D Trig questions for my ext 1 students😀 pic.twitter.com/Uz6cQetPx7

— Kanchan Saxena (@kanchan24saxena) March 21, 2018

I particularly like the little touch of the "frowney" Amazon boxes in this @MonaChalabi infographic
Curriculum Tags: Gr7, Gr8, MDM4U
https://www.instagram.com/p/BuHH5NFnhlw/?utm_source=ig_web_button_share_sheet

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Last year, Amazon doubled its profits to $11.2 billion and paid $0 in federal taxes. In fact, the company somehow got a *rebate* of $129 million. It's ludicrous to think how government could have used that money for healthcare and education. Source: Institute on Taxation and Economic Policy analysis of SEC filings, 2019

A post shared by Mona Chalabi (@monachalabi) on Feb 20, 2019 at 9:04am PST