Friday, April 21, 2017

Math Links for Week Ending Apr. 21st, 2017

One of the newest type of activities that we are starting to make a lot of is a continuum for student practice and review. It's basically a tricky way to do a worksheet. In this case it is operations with fractions for grade 7 (adding & subtracting and multiplication & division with whole numbers).  The premiss is this: there are seven envelopes. Each envelope has cards with 10 questions. As you move from one envelope to the other the questions become incrementally more difficult. Students have to do the first 5 questions on each card. If they get those correct then the go to the next card, if not they do more on the same one. And to make it a bit more fun we have answer cards for them to check with a UV pen and invisible ink.
Curriculum Tags: Gr7, Gr8
http://engaging-math.blogspot.ca/2017/04/fraction-operation-continuum.html

Here's a neat little Desmos Activity from @id_rms1 to get kids into the idea of multiplying a fraction by a whole number. Once they are done that then then can use this Mathies virtual manipulative on pouring liquid.
Curriculum Tags Gr7
https://teacher.desmos.com/activitybuilder/custom/58e591496c284b0f4c79e4c2





Looking for things for your students to think critically about? Then look no further than criticalmath.ca. The site has many posts with examples of things to get your students to think and is currently being run by @matthewoldridge.
Curriculum Tags: All
https://criticalmath.ca/2017/04/13/oil-is-cheaper-than-milk-and-water-wbmarkmelin-sbmatthewoldridge/

I always like these patterning problems where there are many interpretations of how the pattern grows. Check out the post for more on this. Thanks to @msbjacobs and @AllenMath for this one.
Curriculum Tags: Gr7, Gr8, MPM2D, MFM2P
http://themathguy.blogspot.ca/2017/04/joyous-maths-dans-favourite-pattern.html

Though this article is a few years old, I don't think we can have enough info about helping students with learning disabilities. In this case, heuristics, math anxiety and more. Thanks to @KMarkPet for this one.
Curriculum Tags: All
https://www.ldatschool.ca/math/math-heuristics/

The next time I get a chance to talk about order of operations I'm gonna talk about this. Apparently this professor has written every three digit number as an expression using only one digit and order of operations. For example: 931 = 33 + 33 × 33 + 3 + 3 + 3/3. Watch this @numberphile video from @standupmaths with more on this and even something similar with numbers less than 11,111.
Curriculum Tags: Gr7, Gr8. MPM1D, MFM1P
https://www.youtube.com/watch?v=-ruC5A9EzzE

Some data on Scrabble scores (especially now with words like Qi and Za)
Curriculum Tags: MDM4U
https://fivethirtyeight.com/features/how-qi-and-za-changed-scrabble/

And more movie based data. This time about the four types of Scarlett Johansson movies
Curriculum Tags: MDM4U
https://fivethirtyeight.com/features/the-four-types-of-scarlett-johansson-movies/



Friday, April 14, 2017

Math Links for Week Ending Apr. 14th, 2017

Though still in beta form it's pretty cool that Desmos has started to move into the dynamic geometry area. It's not so much that we need another dynamic geometry platform (Geogebra and Geometer's Sketchpad are already awesome) but, hopefully, this will mean that soon we can incorporate dynamic sketches into Activity Builder. Right now, however, you can just play around, there are just a few building tools and you can't save your sketches. But who knows where this will lead. It didn't take long for me to make something simple (below) that shows some mathematical properties. Thanks to @dpscher for pointing this out.
Curriculum Tags: All
https://www.desmos.com/geometry
http://blog.desmos.com/post/159378912247/the-desmos-geometry-tool

When I saw Splat for the first time as a friendly way to solve equations. I loved how it could be used for just about any grade. And now @SteveWyborney has put out slides for Splat with Fractions. So good. Watch the how to videos and download the PPT files.
Curriculum Tags: MPM1D, MFM1P
http://www.stevewyborney.com/?p=1028



"I've felt like I'm always assessing" - says @MrOrr_Geek. As a teacher I think, if you are doing your job, then that has to be true. In his latest post about connecting formative assessment and 3Act tasks. Some of the best assessment you can do with students is formative. Take a look at this post for some insights as to how to handle it
Curriculum Tags:All
http://mrorr-isageek.com/formative-assessment-3-act-math-tasks/

Two Easter themed activities from our Engaging Math Blog. Both are review activities. One is for analytic geometry and the other for proportional reasoning. It's a good time to stock up on those plastic Easter eggs from the Dollar store
Curriculum Tags: MPM1D, MFM1P
http://engaging-math.blogspot.ca/search/label/Easter

I tweeted this out a couple of weeks ago but forgot to add it to the weekly links. It's @standupmaths doing the math behind the double domino. I didn't know that this was a thing that could happen and was surprised at what happens - you will be to Great for connections to similar triangles, ratios and Pythagorean Theorem.
Curriculum Tags: Gr7, Gr8, MPM1D, MFM1P
https://www.youtube.com/watch?v=EYkBctqyKic

And I was so inspired by it that I did my own double brick experiment. As you can see at the end, I was quite proud of the result.
Curriculum Tags: Gr7, Gr8, MPM1D, MFM1P
https://www.youtube.com/watch?v=pYSiL6Sbf74

If you haven't heard, the Global Math Project is prepping for Global Math Week this fall. The third of the webinars was last week but you can see it and the rest of the webinars at the link below
Curriculum Tags: All
https://www.theglobalmathproject.org/global-math-week-webinars

Ooh I like this one. A cool fraction question dealing with areas of triangles.
Curriculum Tags: Gr7, Gr8
https://twitter.com/ProfSmudge/status/852518463444844545

Are you doing rotations in class? Why not turn Twitter into Batman?
Curriculum Tags: Gr7, Gr8
https://twitter.com/pickover/status/851580061455187968

Having kids make inferences from graphs is important. The inference I see here is that my Mac is getting less secure.
Curriculum Tags: Gr7, Gr8, MBF3C, MDM4U
http://uk.businessinsider.com/mac-malware-grows-2016-mcafee-report-2017-4



Friday, April 7, 2017

Math Links for Week Ending Apr. 7th, 2017

@MrOrr_Geek builds a neat context into a 3 Acts Task (see Act 2 below) that deals with direct variation. The context is that of who is the fastest texter. I bet kids would get a kick out of this and you could even have some texting competitions in your own class to collect more data. Regardless check it out, including the companion Desmos activity.
Curriculum Tags: MFM1P, MPM1D, MFM2P
http://mrorr-isageek.com/turbo-texting/


I was reminded of an older physical card sort that was used to create groups of 3 using quadratic relations. You had to match a graph, equation and table based on looking at the solutions of each set. So today I recreated it as a Desmos cardsort and for the rest of my Desmos activities, click here.
Curriculum Tags: MPM2D, MBF3C, MCF3M, MCR3U
https://teacher.desmos.com/activitybuilder/custom/58e791d2a3cb2342b3ec93a8

Some insights into why students mix up area and perimeter from @RobertKaplinski. The main idea is about contexts (or lack there of).
Curriculum Tags: Gr7, Gr8, MPM1D, MFM1P
http://robertkaplinsky.com/students-mix-area-perimeter/

To give MC or not to give MC, that is the question. At least that is part of the question that @MarkChubb3 talks about on this post. He has some keen insights on how to answer MC questions and some counters to some common MC tips.
Curriculum Tags: All
https://buildingmathematicians.wordpress.com/2017/04/06/how-to-answer-multiple-choice-questions/

There is no reason for mathematics to be nothing but inclusive. Check out this interview with a Trans mathematician
Curriculum Tags: All
https://blogs.scientificamerican.com/roots-of-unity/q-a-with-autumn-kent/







In the "it's never too late" category, a 67 year old man proves a long standing math problem in probability by being inspired while brushing his teeth. The context is about throwing darts at a target and although it has been conjectured, it had never been proven. Now it has thanks to the fact that you never know when or how you will be inspired (or how old you will be).
Curriculum Tags: MDM4U
https://www.quantamagazine.org/20170328-statistician-proves-gaussian-correlation-inequality/



Though the modelling here might be a bit too complex, it does tell us why mathematical modelling is important. Here Canadian mathematicians create a SIMS like program to save the bees. Thanks to @KMarkPet for pointing out this one. 

Curriculum Tags:All
http://www.metronews.ca/views/science-says/2017/03/16/canadian-mathematicians-sims-like-program-to-help-save-bees.html

I have always loved those conditional probability questions about false positive when testing for a disease. Here @veritasium talks about this idea, conditional probability and more when dealing with Bayes theorem. Nice stuff.
Curriculum Tags: MDM4U
https://www.youtube.com/watch?v=R13BD8qKeTg

Dealing with problems having to do with position time graphs? You might like this little video. Thanks to @mathletepearce for this one.
Curriculum Tags: Gr8, MPM1D, MFM1P
https://twitter.com/MathletePearce/status/849308047889616897

Some bad math dealing with decimals pointed out by @MatthewOldridge
Curriculum Tags: Gr7, Gr8
https://medium.com/@MatthewOldridge/thats-some-very-bad-mathematics-e66bd1545634

Another nice image from @MarkChubb3 dealing with fractions (or percents or proportions ......). So easy to pull off in class.
Curriculum Tags: Gr7, Gr8
https://twitter.com/MarkChubb3/status/848646614377955329


Friday, March 31, 2017

Math Links for Week Ending Mar. 31st, 2017

I love this site (that is new to me) called Graph of the Week. Kathy Turner has been showing her kids a graph of the week for years but now has some of her collection on this site for the rest of us. Each graph (or set of graphs) comes with some possible questions for prompts for students. Thanks to Janet Jacques for this one
Curriculum Tags: Gr7, Gr8, MBF3C, MDM4U, MAP4C
http://www.turnersgraphoftheweek.com/

This is a common application of Pythagorean Theorem to compare sizes of TVs, but it is always good to see practical applications of math. In this case it's linked specifically to phone screen sizes. Thanks to @MatthewOldridge for pointing this one out.
Curriculum Tags: Gr8, MPM1D, MFM1P, MFM2P
http://www.theverge.com/tldr/2017/3/30/15120824/screen-aspect-ratio-mathematics-galaxy-s8-lg-g6

Many of you may have done Barbie Bungee with your kids. It's so fun. If so you might like to try Barbie Zipline from @jStevens009 Curriculum Tags: MPM1D, MFM1P
http://www.fishing4tech.com/fishin-solo-blog/back-to-school-barbie-zipline-30

If you have seen Hidden Figures then you know that one of the stars of the movie is math. On this post they explore some of the math concepts.
Curriculum Tags: All
https://www.insidescience.org/news/exploring-math-hidden-figures



Need to have your kids practice graphing points? Why not give them this Desmos Marbleslides where they play "golf" by plotting points.
Curriculum Tags: Gr7, Gr8, MPM1D, MFM1P
http://blog.desmos.com/post/158788745322/friday-fave-for-march-24

The first time I heard of Sophie Germain was in the movie Proof. You can read about how she lead the way for female mathematicians here
Curriculum Tags: All
https://www.brainpickings.org/2017/02/22/sophie-germain-gauss/


Another one from @standupmaths with bricks. This time it's that classic physics problem of stacking bricks so that the overhang of the last brick is beyond the first. Though the premiss of this is based on centre of mass, you can do some mathematical modelling with the result. See this Desmos sketch to see how.
Curriclum Tags: MBF3C, MCR3U, MAP4C, MCT4C
https://www.youtube.com/watch?v=rXvaCy8PMdE


Building a thinking classroom is a great idea. And @Wheeler_Laura has some great sketch notes to help you along. I showed some a few weeks ago, they are at this link and more along with a lot of other ways to change over to a thinking classroom.
Curriculum Tags: All
https://mslwheeler.wordpress.com/2017/03/15/building-thinkingclassrooms/

Need a bad graph? Thanks to @Trianglemancsd for pointing out this one
Curriculum Tags: Gr7, Gr8, MBF3C, MDM4U
https://christopherdanielson.wordpress.com/2017/03/06/turd-pizza/



I love this picture from @MarkChubb3 for fraction connections. It's visual and the instructions are easy to implement in your class
Curriculum Tags: Gr7, Gr8
https://twitter.com/MarkChubb3/status/846840310462398465

Here is a neat geometry problem with some Sketchpad interactives from @dpscher. "The five triangles below are all isosceles. The quadrilaterals are all rhombi. The shaded quadrilateral is a square. What is the area of the square?"
Curriculum Tags: Gr7, Gr8
http://www.sineofthetimes.org/a-geometry-challenge-from-japan/

Hand drawn colouring book shows the beauty of the Golden Ratio. See many of them at the link below.
Curriculum Tags: All
http://www.boredpanda.com/architect-reveals-the-secret-of-natures-beautiful-designs-in-a-hand-drawn-coloring-book/



Friday, March 24, 2017

Math Links for Week Ending Mar. 24th, 2017

I'm getting caught up on a lot of blog posts lately and the Desmos crew have been busy. Some neat little activities have been released over the last few weeks. You can practice working with angles in this laser/mirror simulation. Practice with linear functions (kind of like Central Park) by starting with estimation. Do some exponential decay by bouncing balls. And more linear expressions with this interactive border problem.
Curriculum Tags: MPM1D, MFM1P, Gr7, Gr8, MCR3U, MAP4C
http://blog.desmos.com/post/157371596612/friday-fave-for-february-17
http://blog.desmos.com/post/157668916512/friday-fave-for-february-24
http://blog.desmos.com/post/158244468172/friday-fave-for-march-10
http://blog.desmos.com/post/158522882937/friday-fave-for-march-17

A few weeks ago I posted Dan Finkel's TED talk about being a math teacher. It featured a really cool factor model. It turns out I missed this other factor model that @dpscher featured another cool model and added some interactives and a how to video to go along with it.
Curriculum Tags: Gr7, Gr8
http://www.sineofthetimes.org/creating-animated-factorization-diagrams/


Here's a really cool interactive from @EmathsUK on rates of change where you have to create your own custom flask and then guess what the filling profile will look like. It's different version of this classic question than Desmos' Waterline but still a great activity.
Curriculum Tags: MCV4U
http://manipulatives.completemaths.com/flasks/




I like this combination Google slides primer and how to develop thinking in a math classroom from @alicekeeler. I really like the idea of showing the thinking process including all of the mistakes. Take a look
Curriculum Tags: All
http://alicekeeler.com/2017/01/23/google-math-join-me-in-my-thinking/







Some leftovers from PiDay. This one from @mathequalslove giving us this geometric puzzle
Curriculum Tags: All
http://mathequalslove.blogspot.ca/2017/03/square-pi-puzzle-for-pi-day.html







Another PiDay leftover from @rjallain. This time by using a random walk. He goes into all the detail with algorithms and the graphical analysis.
Curriculum Tags: All
https://www.wired.com/2017/03/hey-can-find-pi-random-walk-heres/




And the last leftover from PiDay comes from the Physics Girl and Veritasium. Here they calculate Pi by throwing darts at a target. Again, more randomness. Watch the video at the link below
Curriculum Tags: All
http://thekidshouldseethis.com/post/calculating-pi-%CF%80-with-darts

It all starts with counting. Before we can do any math we have to count. That is part of the premiss of the book "Numbers and the Making of Us: Counting and the Course of Human Cultures" from Caleb Everett. Here is an interview with the author about the topic.
Curriculum Tags: All
https://fivethirtyeight.com/features/why-do-we-count/

Here is a nice interview with @mathletepearce from @DerekRhodenizer on the current state of math teaching. I liked the bit about if you were in a home where your parents yelled, then likely you will be a yelling parent until you become mindful of how to break that pattern. For many of us that's what teaching is. We teach how we were taught until we see a better way
Curriculum Tags: All
http://voiced.ca/beyond-the-staffroom/


I like this visualization from @mathletepearce on visualizing x/6 = 2
Curriculum Tags: Gr7, Gr8, MPM1D, MFM1P
https://www.youtube.com/watch?v=YbAuXpnZl3c


A new @numberphile video on Pascal's Triangle. Even though many of the patterns mentioned I knew of there were a few tidbits that I hadn't.
Curriculum Tags: All
https://www.youtube.com/watch?v=0iMtlus-afo

And another one from @numberphile on the four colour theorem. I love the four colour theorem and especially because it's proof marked the beginning mathematical proofs via computer.
Curriculum Tags: All
https://www.youtube.com/watch?v=NgbK43jB4rQ

A new TED talk from @JoeBoaler on mathematical mindsets
Curriculum Tags: All
https://www.youtube.com/watch?v=al6gO9SLqBY

An interview by @Anthony_Bonato with @JSEllenberg who wrote the book "How Not To Be Wrong: The Power of Mathematical Thinking" and if you want you can watch this talk from a couple of years ago
Curriculum Tags: All
https://anthonybonato.com/2017/03/22/interview-with-a-mathematician-jordan-ellenberg/
https://www.youtube.com/watch?v=kZTKuMBJP7Y


The Giant's Causway is a fabulous example of how nature has many strange secrets. So cool that these hexagonal rock formations were create naturally. Check out all the pictures at the link below.
Curriculum Tags: All
http://geometrymatters.tumblr.com/post/158582569164/the-giants-causeway-the-hexagonal-rock-columns


Who knew there were so many types of quadrilaterals
Curriculum Tags: Gr8
https://twitter.com/pickover/status/843282696260521986

Here's a neat visualization of the top 100 websites currently
Curriculum Tags: MDM4U
http://www.visualcapitalist.com/wp-content/uploads/2017/03/top-100-websites.html

Here's a few more images left over from Pi Day
Curriculum Tags: All
https://twitter.com/alexbellos/status/841546491361607680
https://twitter.com/MrRoeschIsMath/status/841610532771766272
https://twitter.com/DataIsBeautiful/status/841916181762174976