Friday, April 3, 2020

Math Links for Week Ending Apr. 3rd, 2020

Featured Links
All of these links have been featured on this blog over the years and even some summaries. But it's always worth it to see a new summary, especially when many of us are looking for help. In this case @ChrisHunter36 has packaged them as a nice visual clickable PDF. Follow the link to download yours.
Curriculum Tags: All
https://reflectionsinthewhy.wordpress.com/links/



Resource Links
You can always count on @MaryBourassa to help out the province by posting stuff she is doing in her class. As many of us are doing, we are scrambling to figure out what to keep and what to pitch in all of our courses. In this Google Doc, she's giving us a sense of how she's laying out her Grade 9 Academic course. And don't forget to click on the Twitter chat that follows in the comments.
Curriculum Tags: MPM1D
https://twitter.com/MaryBourassa/status/1245329093022879744
And here she asks for advice and the discussion in the comments gives some insight
Curriculum Tags: MPM1D
https://twitter.com/MaryBourassa/status/1245078204123095047
A lot of companies are offering support in many different ways. In this case TI is giving free access to online courses for the next six months as well as free downloads of their IOS calculator apps until the end of April. So take advantage of these while they last. Thanks to @KSpry for pointing this out.
Curriculum Tags: All
https://education.ti.com/en/resources/online-learning-program


Video Links
This could be a good visualization for talking about a converging series.
Curriculum Tags: MCR3U, MCV4U
https://twitter.com/panlepan/status/1243523371549241344
It wouldn't be a math links post this week without some sort of Covid-19 link. This time it's two, first watch this video from @MinutePhysics about a log-log representation of Covid-19 data. This is new infections vs total infections. And the nice thing about this representation is that it makes it easy to see when things may be improving. And if you want to play around with this in a more dynamic way this graph is updated daily.
Curriculum Tags: MHF4U
https://www.youtube.com/watch?v=54XLXg4fYsc
https://aatishb.com/covidtrends/

Image Links
A couple of more from @DonFraser9
Curriculum Tags: All
https://twitter.com/DonFraser9/status/1244312168662695937
https://twitter.com/DonFraser9/status/1246239642594263043

And a nice geometry problem
Curriculum Tags: MPM1D, MFM1P
https://twitter.com/edsouthall/status/1243947312180867072



Friday, March 27, 2020

Math Links for Week Ending Mar 27th, 2020

Featured Links
So I think many people have been asking for this feature on @Desmos activities for a while and I don't think it could have better timing. Being able to give direct feedback to students right in the activity is the perfect thing needed right now as we are out from our schools. Keep in mind, ideally, it would always be better to be able to talk to students directly while doing an activity with your students but given the situation we are in, this is a nice addition.
Curriculum Tags: All
https://twitter.com/Desmos/status/1242283303970861056
Resource Links
If you like Skyscraper puzzles then check out these two resources. Firstly @MarkChubb3 has created some new ones that you can download from his site. And as well, this Brain Basher's site has randomly generated ones that you can download as well. Now of course, you could do these by just placing the numbers 1-4 in each row and column so there are no repeats in either but it's way more fun to actually "build" the skyscrapers with snapcubes or legos.
Curriculum Tags: All
https://buildingmathematicians.wordpress.com/2020/03/22/skyscraper-puzzles-printable-package/
https://www.brainbashers.com/skyscrapers.asp

I have been finishing up and creating some new @Desmos activities to help with the distance learning dilemma. A lot of the new ones I have been creating are self checking so that students know how they did right away. These two are for adding and subtracting fractions and they both are organized in a progression of simple to more complex questions with visual and numerical representations. And both end with a Challenge Creator for students to create their own questions for the rest of the class to do.
Curriculum Tags: Gr7, Gr8
https://teacher.desmos.com/activitybuilder/custom/5c93cccc84b46a0cafcc679d
https://teacher.desmos.com/activitybuilder/custom/5c78137e58f4090c399f4a5a

I also created a quick activity that deals with composite areas created with rectangles. Students see areas in the contexts of parking lots, roofs, parks and farms and then have a Challenge Creator where they can create their own composite area for the rest of the class to solve.
Curriculum Tags: Gr7, Gr8
https://teacher.desmos.com/activitybuilder/custom/5e14cbb238612b178ae126c9

Finally I created a beginning fractions activity that is rooted in pattern blocks. Students have to start by saying how much of each shape is made of each shape or colour. Answers start as whole numbers and then move to fractions. Then the questions become more challenging. All of the slides are self checking.
Curriculum Tags: Gr7, Gr8
https://teacher.desmos.com/activitybuilder/custom/5e7b53690da10b6877aacb2d


Opinion Links
Everyone is talking about assessment now. That is, how do I assess in a distance learning model? Though this post is from a month ago (before our current situation), I love the suggestion of allowing for students to choose the difficulty of questions they do on an assessment.
Curriculum Tags: All
http://modelthelearning.blogspot.com/2020/02/the-art-of-questioning-on-math.html


Video Links
And seeing as I have been making a lot of self checking activities. And so with that in mind I have made a collection of all of the activities that have that self checking feature. But on top of that I have created a two slide template so that if you wanted to create your own self checking activity you could. And to help out, I created a video on how you could do that. Now I know that many of these activities only ask surface and basic questions but sometimes we need our kids to practice and these are ways they can do this while still knowing if they are doing it correct. You can get all of my self checking activities, including the template here.
Curriculum Tags: All
https://www.youtube.com/watch?v=M4uAWT8Nnag

In the area of Covid-19 based videos, this one from @numberphile is a deep dive into both the calculus of exponential growth and a real time Geogebra tutorial.
Curriculum Tags: MCV4U
https://www.youtube.com/watch?v=k6nLfCbAzgo

And you may have seen a lot of sites with mathematical models of the spread of Covid-19. Many of those are based on some sort of exponential relationship (like the one above) but @3Blue1Brown has done his simulations all based around probabilities and made them all delightfully visual.
Curriculum Tags: All
https://www.youtube.com/watch?v=gxAaO2rsdIs


I mentioned this mathematical mistake a couple of weeks ago but I like how @StandupMaths reiterates the idea that when put on the spot, it's quite easy to make math mistakes. But he also goes through some more specifics about why people make this particular mistake
Curriculum Tags: All
https://www.youtube.com/watch?v=6egeUxIEQnM


Image Links
I love this image from @MonaChalabi. Have your students take a look and ask what they notice and wonder. So interesting to connect what countries are doing/have done and how their Covid-19 data looks
Curriculum Tags: MDM4U
https://twitter.com/MonaChalabi/status/1242512097986125825

And of course it's always good to have a bit of mathematical surprise
Curriculum Tags: All
https://twitter.com/DonFraser9/status/1241764289955926017



Friday, March 20, 2020

Math Links for Week Ending Mar. 20th, 2020

Featured Links
There are more hits due to Corona. This time it's the OAME conference in May. We had a length discussion at OAME headquarters and given the current conditions we felt that it was best to get ahead of this and let people know. 
Curriculum Tags: All
https://twitter.com/OAMElearns/status/1239546928184078338


Resource Links
Yup Conona keeps on going and I love that in this trying time, there are teachers who are doin analysis of their own. This is Ontario Math Links and @realJ_Mitchell has been keeping track of the numbers for Ontario. Check out this thread where he is making predictions and posts his @Desmos file. So if you are doing any sort of exponential stuff with your kids (either online or when we get back), you might want to work with this
Curriculum Tags: MCR3U, MHF4U, MCT4C
https://twitter.com/realJ_Mitchell/status/1241740759637929986
Here is a pretty cool simulator for how outbreaks spread. It's full of scenarios that start from the simple and move to the complex with sliders that you can play with. Have fun.
Curriculum Tags: MHF4U, MDM4U
https://twitter.com/davidpetro314/status/1240298827095080962
New from @Desmos just in time for the influx of online learning is a set of activity screens that are premade and easily copiable.
Curriculum Tags: All
https://twitter.com/Desmos/status/1240398489877651457

And if you have ever used SolveMe Mobiles then you might like this new activity as a intro to systems of equations.
Curriculum Tags: MPM2D, MFM2P
https://teacher.desmos.com/activitybuilder/custom/5e7272e64e91f10c4dd87821


Video/Audio Links
Some Pi Day videos starting with @standupmaths calculating Pi by hand the old fashioned way
Curriculum Tags: All
https://youtu.be/CKl1B8y4qXw


And of course @ViHartViHart has her Pi day rant, this time as a mashup with the Corona Virus.
Curriculum Tags: All
https://www.youtube.com/watch?v=Y4Lc5-6L1pE

Another one from @3Blue1Brown on probability strategies and the binomial theorem. I particularly like the initial context of Amazon ratings.
Curriculum Tags: MDM4U
https://www.youtube.com/watch?v=8idr1WZ1A7Q

If you haven't checked out @StevenStrogatz new podcast, The Joy of X, I think you are missing out. On it, he interviews working scientists and mathematicians and I really like the insights he reveals about what they actually do. Check it out on your favourite podcasting platform.
Curriculum Tags: All
https://podcasts.apple.com/us/podcast/the-joy-of-x/id1495067186




Some interesting math to reverse engineer the Covid-19 numbers coming out of Iran to give something that may be more realistic.
Curriculum Tags: All
https://www.bbc.co.uk/programmes/p086krm0


Image Links
I have been seeing a lot of people posting images of various designs made with pattern blocks. You can have any of your kids (students or children) create their own patterns virtually using the awesome @OnMathies pattern blocks app to do so.
Curriculum Tags: All
https://mathies.ca/learningTools.php#Pp0






Friday, March 13, 2020

Math Links for Week Ending Mar. 13th, 2020

Featured Links
Well unless you have been hiding under a rock you know that it's getting intense in terms of the coronavirus. And if you didn't already know it, NCTM in Chicago has been cancelled. That's crazy but true. So if you had planned to go, your plans have changed.
Curriculum Tags: All
https://www.nctm.org/News-and-Calendar/News/NCTM-News-Releases/NCTM-Events-and-COVID-19/


Resource Links
Despite tomorrow being Pi Day, I am going to keep this week's links short and sweet with a focus on the coronavirus starting with this very detailed summary of a lot of the statistics to date. There are some great graphs here and they really get into the weeds and details. I particularly like the graph of how the infections have changed in Hubei province now that they have shut the place down (and perhaps why they are having such a hard time in Italy - because they didn't)
Curriculum Tags: MDM4U
https://medium.com/@tomaspueyo/coronavirus-act-today-or-people-will-die-f4d3d9cd99ca

If you get this relatively soon then you might be interested in what Desmos has to offer in terms of distance learning support. Check out the blogpost link below for all their efforts during this time and the webinar about distance learning.
Curriculum Tags: All
https://blog.desmos.com/articles/desmos-coronavirus/


If you want some PiDay links, however, check out my PiDay Pinterest Page
Curriculum Tags: All
https://www.pinterest.ca/davidpetro314/pi-day/





Video Links
I absolutely love this video from @3blue1brown about the exponential nature of the coronavirus infections. So well done (as are all of his videos)
Curriculum Tags: MCR3U, MHF4U, MCV4U
https://youtu.be/Kas0tIxDvrg



Image Links
As always @MonaChalabi has some interesting representations of data. The one here that I like seems so simple but it is the idea that the true number of corona virus infections is better predicted by the death rate.
Curriculum Tags: MDM4U
https://twitter.com/MonaChalabi/status/1238510270017933315






Saturday, March 7, 2020

Math Links for Week Ending Mar 6th, 2020

Featured Links 
I came across this site this week when looking for some nets for prisms. There are a literal tonne of different nets that you can download but I have to say the ones that I think are the coolest are the twisted prisms. So I had students do the standard cutting out, construction and calculations with triangular and rectangular prisms then let them try to create the twisted versions. They are a little trickier but kids were into it. 
Curriculum Tags: Gr7, Gr8


Resource Links 
I updated a post on my Found Data blog by turning the Walnut Crushing World record into a 3ActTask similar to @gfletchy's Rope Jumper. Good for proportions, unit rates and linear regression Get all the videos and data here:
Curriculum Tags: Gr7, Gr8, MPM1D, MFM1P

Make sure you look at the replies for the discussion on this one about the related geometric proofs of the Pythagorean theorem.
Curriculum Tags: MPM1D, MPM2D
Are you looking for some Algebra resources because you have to go online because of Coronavirus?
Curriculum Tags: All
https://twitter.com/MrCorleyMath/status/1235650990008868867
Opinion Links 
People make math mistakes in the media space all the time. Especially when it comes to big numbers. Rather than just trolling the offenders, I like @LukeSelfWalker's idea.
Curriculum Tags: All
https://twitter.com/LukeSelfwalker/status/1235926959579947009
Video/Audio Links 
Here is the last episode of the OAMEtalks podcast ]this season features @mathliisa & @MrsLeBeau talking about their upcoming webinar (Mar11) "A Fusion of Math and Special Education"
Curriculum Tags: All
https://talks.oame.on.ca/





This is a nice creative solution and certainly could be connected to optimization.
Curriculum Tags: MPM1D, MFM1P
https://twitter.com/panlepan/status/1234975571060252675
Ever travel on a mobius strip?
Curriculum Tags: All
https://twitter.com/Brzezinski_Math/status/1235295538024677378
Image Links 
I love these sorts of visual proofs
Curriculum Tags: All
https://twitter.com/jamestanton/status/1236290942363037699

Saturday, February 29, 2020

Math Links for Week Ending Feb. 28th, 2020

Featured Links
If you follow this blog at all then you know that it's all about sharing stuff. Specifically stuff that I find in the Internet world. However, I'm sure that even though I really try to never show the same link twice, that often I probably share stuff from some of the same sources. So that's why I like finding other people that share stuff that they find (and you should too). This week it's @HTheijsmeijer. She has started a blog to share the stuff that she has found. So check it out.
Curriculum Tags: All
https://rdsbmath.blogspot.com/
Resource Links
A new @Desmos activity gives a nice introduction into the idea of what a function is. One of the interesting representations on this one is where they using words in the function machine. Check it out.
Curriculum Tags: MCR3U, MCF3M
https://teacher.desmos.com/activitybuilder/custom/5e54200051afec695ca0a71a#preview/a9bd0d65-e859-4bf7-bb99-2c4bed8b447c
Here is a nice interactive that revolves around Pascal's Triangle.
Curriculum Tags: Gr7, MDM4U
https://www.desmos.com/calculator/tkfqxalbhk
Video Links
I am weak when it comes to Klein Bottles.
Curriculum Tags: All
https://www.youtube.com/watch?v=f-Pe1ZMJEXk


Image Links
A neat infographic about washing hands
Curriculum Tags: MDM4U
https://flowingdata.com/2020/02/18/most-often-missed-areas-while-washing-hands/









Friday, February 21, 2020

Math Links for Week Ending Feb 21st, 2020

Featured Links
For years on the @Desmos homepage, there have been links to sample images created with the Graphing Calculator. So, to me, it seems surprising that it has taken this long for them to have a formal contest. So here it is, the first Desmos Art Contest. Students can win cash prizes in each of the age groups. Due date is April 10th. Get all the details at the link below
Curriculum Tags: All
https://blog.desmos.com/articles/art-contest-launch/
Resource Links
A new @Desmos created activity dealing with scatterplots, linear relations and equivalent ratios (and cats).
Curriculum Tags: MPM1D, MFM1P
https://teacher.desmos.com/activitybuilder/custom/5e42c7ac8be9fd0c5cfbe706

Here is a great @Geogebra app created by @Brzezinski_Math to randomize cylinders and ask students to determine possible configurations that make each cylinder possible.
Curriculum Tags: Gr8, MPM1D, MFM1P
https://www.geogebra.org/m/wkcgyxex

This is an activity we created to help develop the idea that the volume of a right prism is equal to the area of the base times the height. It's relatively simple as it just uses snap cubes and a grid handout. There is also some practice via paper & pencil or @Desmos.
Curriculum Tags: Gr7
http://engaging-math.blogspot.com/2020/02/volume-of-irregularly-shaped-prisms.html


I've also had a couple of other @Desmos activities for multiplying and dividing decimals that focus on some of the properties of those operations. Like for multiplication of values with the same sets of digits (eg 4.5x3.4 and 0.45x3.4) the numerical values are the same but the decimal place changes and similar properties for dividing decimals. These are not activities for determining how to multiply or divide decimals but instead, what are the consequences of doing so.
Curriculum Tags: Gr7
Multiplication: https://teacher.desmos.com/activitybuilder/custom/5e0560c8531c0f294457021a
Division: https://teacher.desmos.com/activitybuilder/custom/5e101b65e0d5c71748b22118

Do you want to know how geometry relates to arithmetic or probability to calculus? Then why not check out this interactive Map of Mathematics from @QuantaMagazine. The interface is pretty slick. Just choose a topic and see the "tentacles" dynamically reach out to all the related topics. There are some very cool animations here and definitely some great information. Check it out.
Curriculum Tags: All
https://www.quantamagazine.org/the-map-of-mathematics-20200213/

Looking for some ideas to use technology meaningfully in math class. Then check out this post from @Catlin_Tucker on using online stations including things like @Desmos, Quiziz and Google Lockboxes. Thanks to @Joe_Sisco for pointing out this one.
Curriculum Tags: All
https://catlintucker.com/2020/02/meaningful-technology-integration-in-math/

Video/Audio Links
The second of three bonus episodes that highlight the featured speakers from this year's OAME conference in May. This time featuring @KamauBobb, @RichardVanCamp, @FawnPNguyen and @GCouros.
Curriculum Tags: All
https://talks.oame.on.ca/season-2





This is the last of three bonus episodes highlighting all the featured speakers from OAME 2020. This time its just a few minutes from each as they answer the question: " Is there anything that you believed to be true about teaching or learning when you began your career that you no longer do?". It was one of my favourite episodes to record and I loved the responses. Have a listen
Curriculum Tags: All
https://talks.oame.on.ca/season-2






This is a great example of addition of vectors
Curriculum Tags: MCV4U
https://twitter.com/AeronewsGlobal/status/1228716036117221376
A great animation that turns a 3D shape into a tessellation and make sure you check out the discussion for all the variations.
Curriculum Tags: Gr7
https://twitter.com/panlepan/status/1229288251372003328

Article Links
Should students take calculus in high school? Read here to find out.
Curriculum Tags: MCV4U
https://www.forbes.com/sites/johnewing/2020/02/15/should-i-take-calculus-in-high-school/#6f7464387625


Image Links
The geometry of the cosmos. In this case, planets
Curriculum Tags: MCR3U
https://twitter.com/simongerman600/status/1229008787136270336

Here's a challenging set of angle problems
Curriculum Tags: Gr8, MPM1D, MFM1P
https://twitter.com/pickover/status/1228838549233053702