Math Links for Week Ending Dec. 27th, 2019

Featured Links
I have been playing around with these linear representations of equations (Equation Strips) for a while now. And now I have a @Desmos version of them that work as an activity (with video instructions for customizing) or as a stand alone demonstration tool. Check out all the versions (paper & pencil, websketch, @Desmos etc) at the updated link below. Perfect for any beginners of solving equations.
Curriculum Tags: Gr7, Gr8, MPM1D, MFM1P
http://engaging-math.blogspot.com/2017/01/equation-strips.html


Resource Links
Here is a nice little activity from @YummyMath about Pythagorean triples. It connects colouring and patterns in the numbers.
Curriculum Tags: Gr8, MFM1P
https://www.yummymath.com/2019/pythagorean-triples-and-coloring/







A nice 3D Christmas tree using 2D Desmos from @Giohio. Great fun for kids dealing with advanced functions.
Curriculum Tags: MHF4U
https://twitter.com/giohio/status/1209611238130536450

Modified the Christmas Tree @Desmos app by applying more of @DaveCesa 's Desmos-Jedi teachings to make a "solid" treehttps://t.co/yZ5o5Goe9l https://t.co/HCheSx6j1J pic.twitter.com/pCmXD16X3U

— Steve Phelps (@giohio) December 24, 2019

I like this proof without words to connect the sum of squares to the sum of cubes. It really could be used to talk about mathematical proof with any grade. Especially since it comes in the form of a @Geogebra sketch
Curriculum Tags: All
https://twitter.com/dment37/status/1210187636545069057

Proof without words : Sum of the cube numbers @geogebra https://t.co/6tUM4ak7Gj#geogebra #MTBoS #ITeachMath #math #maths #EdTech #geometry #proof #MathEd #FigureThat pic.twitter.com/7u5gQKcFTv

— Daniel Mentrard (@dment37) December 26, 2019

Video Links
This new video from @3blue1brown gives some nice connections between probability and visualization using areas and psychology.
Curriculum Tags: MDM4U
https://www.youtube.com/watch?v=HZGCoVF3YvM

Some Christmas art from @LukeSelfwalker
Curriculum Tags: All
https://twitter.com/LukeSelfwalker/status/1209169769431273474

Last Mathmas,
I graphed you a heart,
the very next day,
it sπraled away. pic.twitter.com/lx8R6db3uV

— Luke Walsh (@LukeSelfwalker) December 23, 2019

And here is the explanation of why the above animation works from @mathologer. It contains the Fibonacci sequence and multiplication tables.
Curriculum Tags: All
https://www.youtube.com/watch?v=qhbuKbxJsk8

And here is another proof without words. Great for showing how visual math can be beautiful.
Curriculum Tags: All
https://twitter.com/solvemymaths/status/1209061160940650496

The sum of consecutive odd numbers (starting at 1) always equals a square number pic.twitter.com/XsJfdsEtNP

— Ed Southall (@solvemymaths) December 23, 2019

Image Links
Who doesn't like a good multiplication of binomials image?
Curriculum Tags: MPM1D, MFM2P, MPM2D
https://twitter.com/StudyMaths/status/1209460617725333504

(2x+4)² = 4x² + 16x + 16 = 4(x + 2)²

Apparently this is not appropriate at the dinner table. pic.twitter.com/1kVaESG4ph

— Jonathan Hall (@StudyMaths) December 24, 2019

Math Links for Week Ending Dec 20th, 2019

Featured Links
Two new activities released by Desmos. The first helps students solidify ideas behind distance time graphs
Curriculum Tags: Gr7, Gr8, MPM1D, MFM1P
https://teacher.desmos.com/activitybuilder/custom/5ddbf9ae009cd90bcdeaadd7

ANOTHER new activity?

In 🐢 Turtle Crossing students create distance-time graphs to help the turtle SKIP PAST THOSE SNAKES!https://t.co/oZ4ZaG74a7 pic.twitter.com/Gb1SS1hj2Q

— Desmos.com (@Desmos) December 13, 2019

The second is the newest one dealing with systems of equations. It starts with the simple idea of finding points on a single line and then moves to finding points on multiple lines but with limited numbers of chances, but with the context of a laser beam to "shoot" the points. So the idea would be that finding intersection points would be the way to go. One thing I like is the constant suggestion to do work on a separate piece of paper.
Curriculum Tags: MPM2D, MFM2P
https://teacher.desmos.com/activitybuilder/custom/5df166d1fa83ee79c328d37d

It's New Activity Monday at the Desmos Activity Factory!

📈🌩️ LINE ZAPPER 🌩️📈

Don't just solve for the intersection of lines – also ZAP 'em. https://t.co/PEc1jq1mom pic.twitter.com/xUxwGeY29L

— Desmos.com (@Desmos) December 16, 2019

Resource Links
If you are looking for a structure to help you move your teaching forward then you might consider the 3-Part framework developed by @MrOrrGeek and @MathletePearce. In this detailed post they go over the history of how they came to their current model (including some of the hurdles they've overcome. You can read the whole post here or download the whole thing (at the bottom of the post).
Curriculum Tags: All
https://makemathmoments.com/framework/


Video Links
Using Cosine law to check the angle of parking lines
Curriculum Tags: MPM2D, MBF3C, MCF3M, MCR3U, MAP4C
https://www.youtube.com/watch?v=0rxghexCKj8

Here is an interesting way to solve quadratic equations that uses the symmetry of the solutions (compared to the vertices) from @PoShenLo
Curriculum Tags:
Curriculum Tags: MPM2D, MBF3C, MCF3M, MCR3U, MAP4C
https://www.youtube.com/watch?v=ZBalWWHYFQc

One of the best illusions from this year. Thanks to @KMarkPet
Curriculum Tags: All
https://www.youtube.com/watch?v=HC0GGkNZPgs

Last week I posted one of the learn Desmos videos on the beginnings of the graphing calculator. This week, the webinar is on using Desmos Activities
Curriculum Tags: All
https://www.youtube.com/watch?v=rvrzSIY-GbU

Image Links
Some practical application of systems of equations
Curriculum Tags: MPM2D, MFM2P
https://twitter.com/joshdeis/status/1207760178348642304

When am I ever going to need this?...when you need to know when your Snap score on Snapchat will pass your boyfriends score he had a head start of several years and 86,000 points. #relevantmathematics @ddmeyer pic.twitter.com/BswnmL4QHm

— Josh Deis (@joshdeis) December 19, 2019

What a cool way to mix art with your TI-84s
Curriculum Tags: All
https://twitter.com/SPFurman17/status/1207454340966998016

A student approached me a few weeks ago about painting the covers on my TI84s. She said it helps her destress. I am a @Desmos math gal all the way, but her work has made the TIs a lot more fun to look at. My students LOVE seeing each installment...#iteachmath #mtbos pic.twitter.com/W8QKHOclCr

— Sarah Furman (@SPFurman17) December 19, 2019

Math Links for Week Ending Dec. 13th, 2019

Featured Links
I have been listening to the audiobook from @StevenStrogatz's new book Infinite Powers about the history of Calculus. There are some great stories in there but one good site that I didn't know existed was mentioned. It turns out that many of Newton's hand written notebooks have been scanned in and are available for free for anyone to see. Check them out.
Curriculum Tags: All
http://cudl.lib.cam.ac.uk/collections/newton/1



Resource Links
Here's a really simple challenge you could give your students (regardless of whether you use the context of zip codes or not).
Curriculum Tags: Gr7, Gr8
https://twitter.com/DonFraser9/status/1204879660326236161

Hey America ! Do you have a five digit zip code ? Why not have your students use the five digits of a zip code and the order of operations to create the numbers from 1 to 10 (or more) #iteachmath @MathletePearce @Mathgarden #mtbos @davidpetro314 @MatthewOldridge

— Don Fraser (@DonFraser9) December 11, 2019

Too many to mention here but check out @MathequalsLove's post on Christmas related math activities. Check them all out.
Curriculum Tags: All
https://mathequalslove.blogspot.com/2019/12/must-share-math-y-christmas-ideas.html

Video Links
Are you looking to learn the basics about using the Desmos Graphing Calculator? Then check out this webinar hosted by @ddmeyer
Curriculum Tags: All
https://youtu.be/mbya2DBubN8

I made this video on how to divide decimals by using relational rods. I used the Mathies app but it could certainly be done with the real ones too.
Curriculum Tags: Gr7
https://www.youtube.com/watch?v=HrKssNl8Qz8

Image Links
It's always good when the picture of the data tells the story for you. Could health care be important, hmmm.
Curriculum Tags: MDM4U, Gr7, Gr8
https://twitter.com/ddmeyer/status/1205243017675735041

Show me a graph that says it all for you. Here's mine. #iteachmath https://t.co/IIwaDOdTFW pic.twitter.com/yjQHNQ90jZ

— Dan Meyer (@ddmeyer) December 12, 2019

Math Links for Week Ending Dec. 6th, 2019

Featured Links
The research is clear, students who have strengths in spatial reasoning do well in math, in general. To that end, @MarkChubb3 has created these one-hole punch puzzles. Here the idea is that students are given a hole pattern and are asked to fold the paper in such a way so that if you punch a single hole into the folded paper, the given pattern appears. So fun. Check out the templates he's made.
Curriculum Tags: All
https://buildingmathematicians.wordpress.com/2019/11/24/one-hole-punch-puzzle-templates/


Resource Links
I don't have a problem with students having formula sheets for assessments. However, I like the idea that students build their own rather than be given stock formula sheets. On our provincial EQAO math tests, grade 9 students are given a stock formula sheet. But if you want to have your students create that same (allowed) formula sheet then consider giving them one of these interactive Google Sheet versions of the Applied and Academic sheets. Thanks to @Joe_Sisco for pointing this out.
Curriculum Tags: MPM1D, MFM1P
http://bit.ly/eqao_academic_formula_copy
http://bit.ly/eqao_applied_formula_copy

I have been listening to the Audiobook of @StevenStrogatz called Infinite Powers. It it he tells the story of the origins of Calculus. Some of the stories are really interesting. But there was a small bit about circular motion and it reminded me of this addition of vectors dynamic WebSketch that showed that the magnitude of the velocity of an object travelling around a circle is constant. Play with the sketch on the link below
Curriculum Tags: MCV4U
http://davidpetro.org/WebSketches/CircleVector/index.html

Opinion Links
If you haven't heard of it, the "Matthew Effect" is the effect in education (and elsewhere) where those who have advantages tend to reap the rewards of those advantages in a compounding way while those with disadvantages are continually penalized due to those disadvantages in a compounding way. In this post, @MarkChubb3 offers some suggestions to minimize this effect in math classes.
Curriculum Tags: All
https://buildingmathematicians.wordpress.com/2018/01/15/minimizing-the-matthew-effect/

Be sure to read through the comments on this prompt from @ddmeyer about teacher change
Curriculum Tags: All
https://twitter.com/ddmeyer/status/1202016947207995393

An idea I hope I'm wrong about –

The most essential teacher changes are almost impossible without simultaneous and massive personal changes.

— Dan Meyer (@ddmeyer) December 4, 2019

Video Links
If you haven't noticed, Elon Musk released his fully electric Cybertruck a couple of weeks ago. In part of that reveal, they showed the Cybertruck pulling a Ford F150 backwards up a hill. It looks impressive but as you will see in this video, not so much. However, along the way there are some great real world examples of math topics, like ratios, vectors and trig.
Curriculum Tags: MPM1D, MFM1P, MCV4U, MCR3U, MBF3C, MCF3M
https://youtube.com/watch?v=jzKCJsou10w

This is an older video but still pretty cool. A neat little puzzle on how you can put a circular object through a square hole that is actually smaller. Thanks to Michele Cooper for this one.
Curriculum Tags: All
https://www.youtube.com/watch?v=AvFNCNOyZeE

I love this dynamic tessellation from @von_oy but also check out the other links here too.
Curriculum Tags: Gr7
https://twitter.com/von_Oy/status/1202592774295556096

Once again, @beesandbombs has inspired me to attempt to recreate one of his beautiful gifs using @Desmos

graph: https://t.co/5d8FcdSUGW
Dave's: https://t.co/YVt7Djb6mZ #mathart #mtbos #iteachmath pic.twitter.com/XwfJ353wF6

— Suzanne von Oy (@von_Oy) December 5, 2019

Image Links
This takes the idea of Tessellations and put's a Christmas spin on it. Thanks to @Joe_Sisco for this one
Curriculum Tags: Gr7
https://twitter.com/MissSMMcLeod/status/1201610658623762434

Grade 5 Christmas art from our math tessellation lesson @StChrisWECDSB pic.twitter.com/Xhpn5KH1e9

— MsSMcLeod (@MissSMMcLeod) December 2, 2019

Check out #MathStratChat for some cool prompts like this one.
Curriculum Tags: Gr7, Gr8
https://twitter.com/pwharris/status/1202403465038745601

It's time for #MathStratChat!
Rules: tweet your favorite, clever solution or be inspired to find an equally clever strategy.
Comment on others' strategies
Like, RT so others can see#MTBoS #ITeachMath #MathIsFigureOutAble #MSMathChat #ElemMathChat #HSMathChat #T3Learns #MathChat pic.twitter.com/iRyiEx4gNi

— Pam Harris (@pwharris) December 5, 2019