Saturday, February 17, 2018

Math Links for Week Ending Feb 16th, 2018

I actually first created this post last year but updated it this week. If you are looking for some interesting data sets to analyze with your classes, look no further than Five Thirty Eights set of data sets used for their articles. The data sets were around before but recently then just made it even easier to get the raw data with their new site https://data.fivethirtyeight.com/ Check out my original (updated) post on how to use the data in your data classes
Curriculum Tags: Gr7, Gr8, MBF3C, MDM4U, MAP4C
http://found-data.blogspot.ca/2017/06/five-thirty-eights-pile-of-data.html

I updated a couple of GSP sketches to WebSketches this week on sine and cosine law. In both cases you start with a sketch to have students verify that each law works (with random triangles) then each has two pages of randomly generated triangles. One page where you solve for a side length and the other where you solve for an angle.
Curriculum Tags: MPM2D, MBF3C
http://engaging-math.blogspot.ca/p/web-sketches.html

I sometimes don't think we give probability the treatment that it deserves. However, it is probably one of the few math skills that students need to be masterful with in order to navigate the world in a safe way. So with that I like this lesson that @MarkChubb3 lays out using this 3 player probability using dice rolling. Simple but it connects experimental and theoretical probability nicely.
Curriculum Tags: Gr7, Gr8, MBF3C, MEL3E
https://buildingmathematicians.wordpress.com/2018/02/08/from-experimental-to-theoretical-probability-sample-lesson/


I contend that when you are learning the multiplication tables, 7x8 is one of the hardest ones to learn. @JamesTanton uses that example to talk about understanding vs rote mathematics.
Curriculum Tags: All
https://medium.com/@jamestanton/7-times-8-is-54-the-call-for-math-memorization-950abcfc1fc7

Some more work from @mathletepearce on his @mathisvisual site on integer multiplication. I made a few suggestions and he expanded on them to make this video and the accompanying images. Check out the site.
Curriculum Tags: Gr8
http://mathisvisual.com/more-integer-multiplication/


I was at the @OMCAMath Retreat and the speaker was @pgliljedahl. He started with this neat problem.
Curriculum Tags: Gr8, MPM1D, MFM1P
https://twitter.com/davidpetro314/status/964209790795833344



Friday, February 9, 2018

Math Links for Week Ending Feb. 9th, 2018

I think it's important for us math teachers to know that the game has changed and I think this post from @ProfKeithDevlin really gives away a lot of the reasons. The title seems pretty innocuous: "How today’s pros solve math problems". What follows is the revelation that much of what we teach in school is useless due to the technologies we have at our finger tips:
"These days, that smartphone in your pocket has access to cost-free cloud resources that can execute any mathematical procedure you need. What’s more, it will do it with a dataset of any real-world size, with total accuracy to whatever degree you demand, and in the majority of cases in a fraction of a second.....To put it another way, all those algorithms, techniques, and procedures I spent years mastering, all the way through to earning my bachelors degree in mathematics, became obsolete within my lifetime..."
I think that really means that we have to rethink what we are doing in math class and whether it really is relevant. This post was Part 1 so, I guess, stay tuned for part 2.
Curriculum Tags: All
http://devlinsangle.blogspot.ca/2018/02/how-todays-pros-solve-math-problems.html

I always appreciate when teachers post their day by days. In this case it's @MrOrr_Geek posting about his semester teaching grade 11 workplace math. It's from a couple years ago and he blogged about the first part of the semester but the rest of the plan is available on a Google Sheet. Take a look
Curriculum Tags: MEL3E
http://mrorr-isageek.com/mel3e-course-outline/

Here's a neat post from @MrHonner that would give some insight as to the effects of vaccination at the same time as looking at the effects of linear and exponential growth on infection rates.
Curriculum Tags: MCR3U, MHF4U, MAP4U
https://www.quantamagazine.org/flu-vaccines-and-the-math-of-herd-immunity-20180205/

Before you get to fraction operations, you might want to prime the pumps with students and do this introductory activity from @JPSilver_fox.
Curriculum Tags: Gr7, Gr8



Some cool connections to Fibonacci with this art project. Thanks to @MrOrr_Geek for pointing out this one.
Curriculum Tags: All
https://kottke.org/18/02/tree-mountain



Saturday, February 3, 2018

Math Links for Week Ending Feb. 2nd, 2018

Last week @MrOrr_Geek had a post on different ways to use two truths and a lie and this week @desmos has there version. Although I don't think this is a particularly useable at this point but it does give us a sense of what might be coming in the future from Desmos. For now These two activities can only be used from the student perspective (there is no public version yet). Still though, it's a neat concept. You, as a student, creates an image and then writes two truths and a lie. It then goes in the gallery.  Then you can look at any of the others in the gallery. Give it a try, there is an elementary (fractions) and secondary (parabolas) version.
Curriculum Tags: MPM2D, MFM2P
Elementary: https://teacher.desmos.com/activitybuilder/custom/5a724d8edb53f03b52fbe790
Secondary: https://teacher.desmos.com/activitybuilder/custom/59f0a9b39ee48105ae6b7928

Looking at introducing solving logarithmic equations? Then you might want to start with this simple activity for giving students a feel for the way powers work from @sqrt_1. And I like the idea of using dry erase sleeves to save on paper.
Curriculum Tags: MCR3U, MHF4U
http://squarerootofnegativeoneteachmath.blogspot.ca/2018/01/exponent-puzzles.html
Okay this is a long video but the end shows a crazy connection to Pascal's Triangle
Curriculum Tags: MDM4U
https://www.youtube.com/watch?v=5SfXqTENV_Q


Not regular permutations, super permutations!
Curriculum Tags: MDM4U
https://www.youtube.com/watch?v=wJGE4aEWc28

I made a couple of videos on how to use Geogebra to graph lines and planes in 3D
Curriculum Tags: MCV4U
https://www.youtube.com/watch?v=3KatCPnTNoA


https://www.youtube.com/watch?v=--gpbRvnIFE



Friday, January 26, 2018

Math Links for Week Ending Jan. 26th, 2018

I have mentioned Math Is Visual before. It's creator @mathletepearce continues to try to visualize math concepts to help students understand basic concepts better. Recently he's been working on visualizing integer operations and has created this playlist that walks through basic addition and works it's way to more complex subtraction. He really takes the visual aspect seriously and you should to. But for optimal results, you really have to go through the entire playlist in order to get the benefit. Stepping in in the middle could disrupt the flow from the purely visual to the mathematical symbolic. Each video has it's own page that goes into much more detail on some of the teacher moves you might use.
Curriculum Tags: Gr7, Gr8
http://mathisvisual.com/series/integers/

I have released a couple of new Desmos Activities this week. The first deals with projectile motion. It starts with some investigation of launch angle, speed and height and then offers up some challenges. Finally it ends with a 'sandbox' for kids to play and experiment in.
Curriculum Tags: MCR3U, MCF3M, MBF3C
http://engaging-math.blogspot.ca/p/desmos-activities_10.html

The second is a pair of activities dealing with parabola transformations. The first is on translations and the second is on stretches. Along the way there are tables to complete, characteristics to describe, marbleslides to solve and a randomly generated page of equations to match with a graph.
Curriculum Tags: MPM2D, MBF3C
http://engaging-math.blogspot.ca/p/desmos-activities_10.html

It looks like @MrOrr_Geek has been working overtime to help you in your math class. In this post he explores some of the best ways you can use two truths and a lie in math class. He describes them in the video and gives you a downloadable user guide. So what are you waiting for?
Curriculum Tags: All
http://mrorr-isageek.com/4-ways-to-use-two-truths-one-lie-in-any-math-class/





Do you want your kids to work on their basic number sense but in a puzzly kind of way. Then consider having them deal with partitioning numbers (eg 4 can be 4, 3 and 1, 2 and 2, 2 and 1 and 1, or 1 & 1 & 1 & 1). Via @MathforLove
Curriculum Tags: All
http://www.thehindu.com/children/partitions-and-pieces-of-eight/article22489606.ece

Leave it to @ddmeyer to come up with a way to make the Interwebs more welcoming. A while back he started to search the Twittersphere for math teachers who Tweeted and were either new to Twitter or had no interactions. Well now he is enlisting the rest of us to do the same. He has started a new site: Lonely Math Teachers where he has scraped Twitter to find math tweets with low interaction and is asking us to interact with them. Nicely done. Check it out. 
Curriculum Tags: All

"Why we don't cross multiply" - that's the title of a post from @K8Nowak and what follows is a fairly thorough description as to why introducing cross multiplication too soon (or at all) is a problem developmentally for students. 
"I know that lots of people are very comfortable teaching cross multiplying, and this change is challenging."
It is uncomfortable for many teachers because that is what we learned as students. But she has some ideas as to how to pull the math off without going directly to cross multiplication. 
Curriculum Tags: All

A very surprising result in the car crash analysis video from @numberphile. Some good math in there with working with formulas with powers as well.
Curriculum Tags: MPM1D, MFM1P
https://www.youtube.com/watch?v=i3D7XYQExt0

This is a neat little problem that deals with perfect squares.
Curriculum Tags: gr7
https://www.youtube.com/watch?v=G1m7goLCJDY

This is so fun. How do you create a 3 sided coin? Watch and find out. Along the way you'll see some geometry and some probability theory dealing with the binomial theorem and the normal distribution along the way.
Curriculum Tags: MDM4U
https://www.youtube.com/watch?v=-qqPKKOU-yY

How about some composite functions? Thanks to @mathtans for pointing this one out.
Curriculum Tags: MCR3U
https://twitter.com/giohio/status/955377264509767680



Friday, January 19, 2018

Math Links for Week Ending Jan. 19th, 2018

For some teachers, having a clear and exact plan when executing a lesson is very important. For others, they fly by the seat of their pant. If you are part of the former, then you might like this new-ish feature from @Desmos where you can get a teacher guide for any activity (theirs, yours, or someone else's). The guide, has checklists, screenshots, teacher notes and a place for your own notes. To access the guide just click on the Teacher Guide button that appears on each Desmos activity now (even ones you made yourself). Read about it at the link below and then check it out yourself.
Curriculum Tags: All
http://blog.desmos.com/post/169633045802/friday-fave-for-january-12

I have always been a fan of the area formula for a trapezoid. Why? because it's often dismissed but it can actually be used to determine the area of a parallelogram, rhombus, rectangle, square and even a triangle. So I made this demo sketch that basically shows the calculations using the trapezoid formula and the traditional formula for each shape. And it's dynamic so you can drag the points to see the calculations change in real time.
Curriculum Tags: Gr7
http://engaging-math.blogspot.ca/p/web-sketches.html

Do you want a fun way to talk about unit rates? Then you might find this @desmos activity called Click Battle. I like how it starts with students seeing how fast they can click and that's the hook to helping them use and understand unit rate.
Curriculum Tags: Gr8, MPM1D, MFM1P, MAT1L, MAT2L
http://blog.desmos.com/post/169360063287/friday-fave-for-january-5

If you are a user of the @OnMathies tools then you know that they are continually improving them. One new improvement is that you now have the ability to save documents in the NotePad app. This is helpful if you want to create stuff ahead of time to use in class or for your students to open and play with.
Curriculum Tags: All
http://mathies.ca/learningTools.php#Nn0

In grade 8 in Ontario we are supposed to classify quadrilaterals by their diagonal characteristics. This quadrilateral card sort from @theshauncarter could be a nice way to bring some prior knowledge up when starting that lesson.
Curriculum Tags: Gr8
https://primefactorisation.com/blog/2018/01/09/quadrilaterals-card-sort/


 Looking for some tips on how to become more productive in your teaching? Then check out @MrOrr_Geek's post on his top 10 tools. Watch the video and then read the post for more details.
Curriculum Tags: All
http://mrorr-isageek.com/10-tools-in-my-teaching-day/


I have probably posted this picture before but this is the first time that I have seen this version. The annotation is done by the company who built the ramps. If you want to see video of the actual jump, click here.
Curriculum Tags: MPM2D, MFM2P, MCF3M, MBF3C, MCR3U
https://ctconstructions.wordpress.com/ctconstructions/

A nice problem for geometry from @LauraWheeler
Curriculum Tags: MPM2D, MFM2P
https://twitter.com/wheeler_laura/status/954384448681787392



Friday, January 12, 2018

Math Links for Week Ending Jan. 12th, 2018

Find out about mathematician @lewlefton who is also a stand up comedian (with math jokes) and @TheMathGuru who talks about her first day as a student teacher (and hails from Toronto).
Curriculum Tags: All
https://www.storycollider.org/stories/2018/1/5/math-problems-stories-about-math

If you are talking about simulations then you might want your kids to try this one out from @vihartvihart and @ncasenmare where they use polygons who are happy or sad to simulate why segregation happens.
Curriculum Tags: MDM4U
http://ncase.me/polygons/






If you are at all thinking of using visibly random groups in your class, one thing that might hold you back is getting started. Sure you get the kids into random groups but how do you keep control? Why not give them a non math related starter so they won't be shy about talking to each other with a purpose. So to help you @LauraWheeler has compiled her 90 Getting to Know You questions. So you now have one less excuse to get started.
Curriculum Tags: All
https://mslwheeler.wordpress.com/2018/01/11/90-days-of-getting-to-know-you-questions-for-visibly-random-groups-%F0%9F%A4%94thinkingclassroom/

Some posts on medium from @mathgarden and @JamesTanton on why the current system of education is failing our students. The thread there is that math class can be a lot more enjoyable for students than it is right now and we can do it while still providing a quality math instruction.
Curriculum Tags: All
https://medium.com/q-e-d/six-questions-that-math-educators-need-to-answer-honestly-2ffc9da07aef
https://medium.com/q-e-d/its-time-to-let-go-of-antiquated-edicts-in-the-mathematics-classroom-8629d139a751
https://medium.com/@sunilsingh_42118/back-to-basics-mathematics-movement-re-imagining-the-classroom-as-a-sweatshop-with-victorian-24fc635ba599

And along the same lines and also highlighted at Medium is @MathewOldridges essay on the importance of play along with your math classes. Watch the video and then read the essay.
Curriculum Tags: All
https://medium.com/q-e-d/math-is-play-or-at-least-it-could-be-more-playful-cbd856d92aab


If you are in the beginnings combinatorics then why not start with something simple that students might relate to from @MathBeforeBed and while you are there check out the other math starters
Curriculum Tags: MDM4U
https://mathbeforebed.com/2018/01/09/the-doc-is-in/

Are you new to 3 Act Tasks? Or perhaps helping someone get started? Then you might like this Sketchnote from @LauraWheeler to summarize the main points (and some useful links in the post as well)
Curriculum Tags: All
https://mslwheeler.wordpress.com/2018/01/12/3-act-math-sketchnote/