## Saturday, March 16, 2019

### Math Links for Week Ending Mar. 15, 2019

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

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

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/

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/

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

## Friday, March 8, 2019

### Math Links for Week Ending Mar. 8th, 2019

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

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

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

Have kids sort into groups by matching up radicals and mixed radicals
Curriculum Tags: All
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

What a great and fun way to create fraction rulers. So easy.
Curriculum Tags: Gr7, Gr8
Here's a great Prime Climb/Which One Doesn't Belong mashup
Curriculum Tags: All

Nicely done
Curriculum Tags: All

## Friday, March 1, 2019

### Math Links for Week Ending Mar. 1st, 2019

Say it loud and say it proud
Curriculum Tags: All

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

This is such a nice visualization from @anniek_p on the connection between the unit circle and the sine curve.
Curriculum Tags: MCR3U, MHF4U

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

Some fun Futurama based math with exponents, primes and binary numbers from @SLSingh on @numberphile.
Curriculum Tags: Gr8, MPM1D, MFM1P

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

And as another added bonus from @Gelada, check out the cool way these shapes unpack.
Curriculum Tags: All
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

Yeah, that's definitely fun
Curriculum Tags: All

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

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

## Friday, February 22, 2019

### Math Links for Week Ending Feb. 22nd, 2019

Here is a great dynamic bar graph that shows how the value of the largest companies of the world has changed since the year 2000. What do you think will come out on top by the end of 2018. But after seeing this video lead me to this site called Interbrand which is where they got the data. It has has all kinds of interactive graphs dealing with the popularity of brands. Thanks to @Robin_Grondin for pointing this one out.
Curriculum Tags: Gr7, Gr8, MDM4U, MBF3C
https://www.interbrand.com

It seems that I am getting caught up on @mathequalslove's blog this week. You can always count on her to create activities that take the standard worksheet and turns it on its head to make things more engaging for students. In this case it's a puzzle worksheet for trig identities.
Curriculum Tags: MCR3U, MHF4U
https://mathequalslove.blogspot.com/2019/02/trig-identity-group-challenge-reciting.html

This posts tackles the idea of dividing polynomials using long division or synthetic division but really it's about her activity to use box division using cards. She uses them in combination with her clear pockets to help students with this mechanical mathematical method.
Curriculum Tags: MHF4U
https://mathequalslove.blogspot.com/2019/02/dividing-polynomials-puzzle-using-box.html

In calculus we are always trying to conceptually convey what is happening when we are determining the derivative and finding the slope of the tangent. The main concept is that the slope of this curve is being measured using a straight line. That can be confusing to some students. To help that @DavidBulterUofA and @aknauft have built this Desmos sketch that "magnifies" any part to show that if you zoom in enough, any curve can be approximated as a straight line.
Curriculum Tags: MCV4U

In the latest @Numberphile podcast episode, you can hear the interview with @SimonSingh and among other things, he talks about his new website that gives weekly challenge problems to math students. Students and teachers can create accounts on the site so they can "Be challenged, get curious, do maths. Stretch your brain every week."
Curriculum Tags: All
https://parallel.org.uk/

There are certainly people that think that it's important for students to learn algorithms. In my opinion there is no problem with learning algorithms but it shouldn't be the first thing that students learn about a topic and it certainly should be the goal of the learning. In this post @MBurnsMath shows (through student conversations) that algorithms are certainly not enough
Curriculum Tags: All
http://www.marilynburnsmathblog.com/algorithms-are-not-enough/

Any data management or statistics teacher needs to look at all types of data representations. Heat maps are a neat way to look at data on a gradient and if you can also connect that to lat/long data to map that out. Here's how to do it with CODAP
Curriculum Tags: MDM4U

Here's a great interview with @JohnCUrshel a former NFL lineman turned MIT Ph.D math student.
Curriculum Tags: All
https://www.podcastone.com/episode/Whats-it-like-to-be-the-biggest-maths-geek-to-ever-play-in-the-NFL-the-big-questions

A new book from @Standupmaths is about errors in engineering and other areas and what effects those errors were. Here's a brief interview with him about the book.
Curriculum Tags: All
https://www.bbc.co.uk/programmes/p07113q3

The boys @MakeMathMoments have been busy with their new podcast. They have been putting out quality episodes one a week since before the new year. There are your standard interview type episodes with people like @JamesTanton, @mathforlove and @JoBoaler but the ones that I like the most are the Mentoring Moments episodes where they talk to a teacher from somewhere in North America and try to help them with their particular teaching issue.
Curriculum Tags: All
http://makemathmoments.com/podcast/

We've been busy at the @OAMEtalks podcast with a new episode from @FawnPNguyen and a couple of episodes of previews of featured speakers for OAME 2019 ( @LLB_315, @jboninducharme, @gfletchy, @eluberoff, @carloliwitter, @NatBanting, @stoodle & @samjshah2). We have one more OAME 2019 preview episode planned to come out on Monday (with @davidcampbell, @TracyZager & @JenniferWilson) and our last regular podcast of the season coming out March 1st with @MarkChubb.
Curriculum Tags: All

Use your math skills to solve these mathematical movie puzzles
Curriculum Tags: MCR3U, MHF4U, MCV4U

More mathart from @sumdumthum
Curriculum Tags: All

This is really a standard problem but the tweak of making it physical will help students engage more into the work.
Curriculum Tags: MPM2D, MFM2P

## Friday, February 15, 2019

### Math Links for Week Ending Feb 15th, 2019

If you have never used Desmos Polygraph before then you are missing out. Kids play "Guess Who?" with mathematical images. You can see so many on the Activity Builder Website. That being said, this is just a great tool for any subject. To that end, I made a tutorial on how you can create versions for other subject areas. So you might want to send this out to your non math teacher friends. There is a full video on how to make them and several examples created from different subject areas.
Curriculum Tags: All
https://wecdsbit.blogspot.com/2019/02/creating-digital-guess-who-game.html

One of the things we are supposed to do in Ontario is develop the formula for the area of a circle. And my favourite method is to split a circle into triangular wedges and create a "parallelogram" from the pieces. In this activity @rnhung does just that (including a neat slide where he does the derivation step by step).
Curriculum Tags: Gr8
https://teacher.desmos.com/activitybuilder/custom/5a7f66d94bddb3422ca9e626

I really love this perimeter of an irregular shape problem shared by @dpscher as it starts out with hints that it's not solvable but, in fact, can be solved. I like the fact that you can confirm the answer with some concrete manipulation that could involve algebra or just plain strategic trial and error.
Curriculum Tags: Gr7, Gr8, MPM1D, MFM1P

In his quest to help bring the joy back to mathematics @mathgarden posts his 100th article on Medium looking at various references to going beyond memorization and make math and play synonymous. It was nice to get a shout out as well for a term that I cannot claim as my own but often use in the context of how I want kids to interact with math: "tinker" and @BerkleyEverett's "dabble".
Curriculum Tags: All
https://medium.com/@sunilsingh_42118/dreaming-to-disrupt-mathematics-is-beginning-its-journey-back-home-de1761207985

A new @numberphile video featuring @SimonSingh talking about two fun examples of maths (primes and binary) showing up in the TV show Futurama
Curriculum Tags: All

Another new @standupmaths video where he talks about how rounding issues can cause big problems.
Curriculum Tags: All

Five videos from @JamesTanton the king of joyous math all for the sake of the National Math Festival.
Curriculum Tags: All

I love this post from @MonaChilabi showing examples all types of graphs, can you name them all?
Curriculum Tags: Gr7, Gr8, MDM4U
https://www.instagram.com/p/Bt1Fbbbn3GL/

## Friday, February 8, 2019

### Math Links for Week Ending Feb 8th, 2019

If you haven't heard yet, Desmos has updated their graphing calculator and now it includes tools for analysis and visualizations of single variable statistics. In terms of visualizations, they've added dot plots, box plots and histograms. They also have probability and binomial distributions. They a work within the confines of the graphing calculator and are also available in Activity Builder. Check out some of the features at my post below and check out @boblock's how to video.
Curriculum Tags: Gr8, MDM4U, MAP4C
https://found-data.blogspot.com/2019/02/new-desmos-statistics-package.html

The second thing from Desmos is that they are currently accepting applications for the 4th cohort of their Desmos Fellows. I was a member of last year's 3rd cohort and it's been a pretty cool year seeing behind the curtain as to how things run. But really the best part is all the new colleagues I gained both from face to face meetings a Desmos HQ but online in their company Slack channel. And it was cool to have a tiny part in testing out some of the new stats features before they went live. So check out their post and consider applying.
https://blog.desmos.com/articles/friday-fave-for-february-8/

Are you looking for some discussion on diagnostic assessment in the intermediate years in math, then you might consider this series of webinars put on by @goslinK123. The first one is done and there is a recording of it but there are more to come.
Curriculum Tags: All

It looks like @MaryBourassa is dusting off the old Day by Day set of blog posts. In the past she's done it for MFM2P and MPM2D and now she's starting one for MPM1D. So if you are into teaching grade 9 academic you may want to follow her posts over the course of the semester. Here's the first one.
Curriculum Tags: MPM1D

A few months ago @PaiMath posted a nice long post about taking notes in a thinking classroom. This week, he's following up with part 2 of that post. I know that the note taking aspect is one of the things I struggle with understanding the most so I appreciate this kind of long form treatment.
Curriculum Tags: All
http://intersectpai.blogspot.com/2018/11/the-thinking-classroom-note-taking-part.html

Here's a fun little Desmos Challenge Creator by @rilesblue dealing with equivalent ratios. It's pretty simple as it is just the challenge creator but here students choose their rivalry (eg Apple vs Android), create a fictitious comparison and then create some equivalent ratios. This becomes the challenge that the rest of the students in the class have to do. These Challenge Creators are an excellent way to get kids engaged in otherwise boring practice since they are creating the actual questions.
Curriculum Tags: Gr7, Gr8, MPM1D, MFM1P, MAT1L, MAT2L

It turns out that bees can do addition and subtraction and even understand the concept of zero. Thanks to @kmarkpet for pointing out this one.
Curriculum Tags: All

Check out @MrOrr_Geek on Instagram. He's doing a bit of a video diary where he shows you 30 minutes of his classroom one minute at a time for 30 days. Check it out.
Curriculum Tags: All
https://www.instagram.com/mrorr_geek/?hl=en

I found these videos this week on interpretive dance representations of statistical concepts.
Curriculum Tags: MDM4U

Do you have any skiers in your class? Then they may be interested in this data showing how Lyndsay Vonn is clearly a dominating force.
Curriculum Tags: MDM4U
https://fivethirtyeight.com/features/lindsey-vonn-is-the-greatest-american-skier-and-its-not-even-close/

## Friday, February 1, 2019

### Math Links for Week Ending Feb. 1st, 2019

We've been doing a lot of work in terms of conceptualizing fraction operations. This is the latest video developed by Gisele Jobin and I and the purpose of these (longish) videos are to help show teachers ways to conceptualize fraction operations by using a progression of examples. In this case, the idea is that fraction division can be done without using the standard algorithm if you just get common denominators (and then it because relatively trivial). Follow the link below for the entire playlist.
Curriculum Tags: Gr8, Gr9

Do you want some insight as to how Uber decides how to charge it's riders. Well @RobertKaplinski has some insight. He does it with some great and detailed discussion of mathematical modelling. But even if you don't want to do some in depth analysis of you can just use the formula to give some context for students to use formulas for real world problems to practice doing calculations with order of operations.
Curriculum Tags: Gr7, Gr8, MCR3U, MHF4U
https://robertkaplinsky.com/math-modeling-can-tell-uber-much-charge/

I really love this "remix" by @ChrisHunter36 of the standard problem: "Determine an equation of a quadratic function with vertex at (-5, 3), passing through the point (-7, 15).". Turn it into a step by step set of clues and sprinkle some appropriate use of technology in there to make it much more engaging for students with the same result. Get the downloads including the Desmos activities and powerpoint.
Curriculum Tags: MPM2D, MCF3M, MCR3U, MBF3C, MAP4C
https://reflectionsinthewhy.wordpress.com/2019/01/08/wanted-parabola/

Need a progression for developing the ideas around Pythagorean Theorem? Well then @MathyCathy has your back. Some good ideas here that go well beyond just the standard formula. Especially since it doesn't start with the formula.
Curriculum Tags: Gr8, MPM1D, MFM1P
http://www.mathycathy.com/blog/2019/01/mathresourceroundup-pythagorean-theorem/