Math Links for Week Ending July 26th, 2024

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There are a lot of days that you can celebrate mathematically, the most recent was Pi Approximation Day
Curriculum Tags: All
https://x.com/howie_hua/status/1815355640019030452
https://x.com/MathigonOrg/status/1815386427284230252

A thread about pi approximation day:

(22/7)

— Howie Hua (@howie_hua) July 22, 2024

Happy #PiApproximationDay! Did you know 22/7 is a really good approximation for π? Learn more at https://t.co/pCiTRqg7mK pic.twitter.com/tKiOq2O5Bb

— Mathigon (@MathigonOrg) July 22, 2024

Resource Links

I'm always happy to share the work that @JamesTanton shares. Especially the chapters of nis new mathematics resource as they are completed
Curriculum Tags: All
https://x.com/jamestanton/status/1815145832443994125

Marching on with ARITHMETIC, ALGEBRA & RADICAL COMPREHENSION OF MATH.
Chapter 15, Exponents, draft is out.
(Very much a draft. Not sure if I like it. Could just be in algebra weeds now. Let me know if you think it works. Curious!)https://t.co/gPEvhQhxhK#mtbos @GlobalMathProj pic.twitter.com/pSNxr3PR8Q

— James Tanton (@jamestanton) July 21, 2024

Video Links

I'm a big fan of the area model for multiplication, especially when dealing with fractions and binomials
Curriculum Tags: Gr7, Gr8, MTH1W
https://x.com/howie_hua/status/1816606026998907059

Do you know how to multiply using rectangles/area models? If not, here's a quick explainer: pic.twitter.com/akiKubO45e

— Howie Hua (@howie_hua) July 25, 2024

Image Links

More fraction fun from @ProfSmudge
Curriculum Tags: Gr7, Gr8, MTH1W
https://x.com/ProfSmudge/status/1815721769535226135

Fraction of a fraction?? pic.twitter.com/qWIWa7vWtT

— Professor Smudge (@ProfSmudge) July 23, 2024

This is a fun area problem that you only need minimal evidence about properties of circles to solve. 
Curriculum Tags: Gr8, MTH1W
https://x.com/ybgoi/status/1815968753777086705

Calculate the shaded area of the circle, O ? pic.twitter.com/X6otHH3WBN

— Yacob Goitom (@ybgoi) July 24, 2024

Math Links for Week Ending July 19th, 2024

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I love that @Howie_Hua did a couple of videos about bar models for one and two step equations. I have been an advocate for them for years (and if you want you can see my resources for them from this blog post).
Curriculum Tags: Gr7, Gr8, MTH1W
https://engaging-math.blogspot.com/2017/01/equation-strips.html
https://x.com/howie_hua/status/1813924061304782946
https://x.com/howie_hua/status/1813924666958053553

Introducing one-step and two-step linear equations with bar models (Part 1) pic.twitter.com/eGlrAe0FNX

— Howie Hua (@howie_hua) July 18, 2024

(Part 2) pic.twitter.com/pyxqew4G7h

— Howie Hua (@howie_hua) July 18, 2024

Resource Links

Who doesn't need a good set of math starters?
Curriculum Tags: All
https://x.com/geoffkrall/status/1813588450916122955

Here is the landing page for a school year's worth of Illuminating 5th-to-6th grade warm ups.

These 180 quick tasks are crafted with an emphasis on:

✅ mathematical creativity
✅ accessibility
✅ varietyhttps://t.co/62zbcz2Niu

— Geoff Krall 💫 (@geoffkrall) July 17, 2024

Video Links

Sure it's a crazy infinite series but I'm all in for a new way to calculate Pi. 
Curriculum Tags: MHF4U, MCV4U
https://www.youtube.com/watch?v=nXexsSWrc1Q

Image Links

I don't think it's important for students to memorize formulas like this, however, I do think it's good for them to know that they exist
Curriculum Tags: Gr7, Gr8, MTH1W
https://x.com/ZahlenRMD/status/1812647795226284116

Area of Regular Polygons#sharingisthenewlearning pic.twitter.com/8Mj5i1A3NP

— Reygan Dionisio (@ZahlenRMD) July 15, 2024

I love the progression of questions here (be sure to look in the comments for all of them)
Curriculum Tags: Gr7, Gr8, MTH1W
https://x.com/ProfSmudge/status/1812423219439112236

One seventh,
Part 1 pic.twitter.com/n24qrHTywP

— Professor Smudge (@ProfSmudge) July 14, 2024

Math Links for Week Ending July 12th, 2024

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We always need to show kids where math is used in everyday life. Here are examples from different branches of math
Curriculum Tags: All
https://x.com/SrinivasR1729/status/1809600670410109140

1/16: Welcome to the surprising and diverse world of mathematics! In this thread, we'll look at 16 different areas of math and see how they play a crucial role in our daily lives. From keeping our online data safe to helping predict the weather, math is more than just… pic.twitter.com/R4FwrJZLHR

— 𝐒𝐫𝐢𝐧𝐢𝐯𝐚𝐬𝐚 𝐑𝐚𝐠𝐡𝐚𝐯𝐚 ζ(1/2 + i σₙ )=0 (@SrinivasR1729) July 6, 2024

Resource Links

I love using Anscombe's quartet to talk about how important looking at data is and not just relying on what the calculations say. In this case, all the numerical analysis suggests that these are all the same data set. Check it out in this @Desmos activity that I put together
Curriculum Tags: MDM4U
https://x.com/pickover/status/1810099446161547326
https://teacher.desmos.com/activitybuilder/custom/56364b6f58d09115172b6a3c

Mathematics. Anscombe's quartet.

All have same mean, variance, correlation, and regression line. Lesson: Always Visualize Data https://t.co/Sv5KtY26rE pic.twitter.com/iiuG0ITEqU

— Cliff Pickover (@pickover) July 7, 2024

Video Links

I like that he gives more than one example of why 0! = 1
Curriculum Tags: MDM4U
https://x.com/howie_hua/status/1809371272599716292

Why is 0!=1? pic.twitter.com/6sbL1gHKKk

— Howie Hua (@howie_hua) July 5, 2024

I love how the example at the end really shows why this is a good method. 
Curriculum Tags: All
https://x.com/howie_hua/status/1811024861478932542

Teaching tip: When explaining, pretend there is a wall between you and your students. Here's what I mean: pic.twitter.com/mRarrQzOTR

— Howie Hua (@howie_hua) July 10, 2024

Image Links

I like this because the left and right side don't simplify to each other but they both simplify to the same thing.
Curriculum Tags: MDM4U
https://x.com/pickover/status/1810735611705266353

Mathematics. pic.twitter.com/ImMxucoaoZ

— Cliff Pickover (@pickover) July 9, 2024

Math Links for Week Ending July 5th, 2024

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@JamesTanton continues to share drafts of his online math textbook/course as they come. It's a great resource and it's totally free. Check it out 
Curriculum Tags: All
https://gdaymath.com/courses/gmp/

Draft of Chpt 14 for my ARITHMETIC AND ALGEBRA tome. It's the algebra of quadratics. People might be shocked at what I deliberately don't include! https://t.co/gPEvhQgZsc
Working to declutter and let its true story shine through. Enjoy!@GlobalMathProj @AIMathCommunity #mtbos pic.twitter.com/1AuQNDY8DD

— James Tanton (@jamestanton) June 29, 2024

Resource Links

This may not be a fully fleshed out activity but if you are at all interested in coding in CL, especially now that you can do it with Polypad, then this is something you should look at. 
Curriculum Tags: All
https://teacher.desmos.com/activitybuilder/custom/667ef56bb7d6ca71ad19ff53

Had an amazing time with the #DesmosFellows community over the past few days. Did a bit of work on this "MathDoku" puzzle using a Polypad component while waiting in the airport. Thanks to @davidporas for his assistance and advice. https://t.co/NmhnhfXnci

— Erick Lee HRCE Math (@TheErickLee) June 29, 2024

Repost this and get a chance to win a copy
Curriculum Tags: All
https://x.com/MrValencia24/status/1808471780417294565

Happy Birthday @MathPlay4All🥳🎂Grateful for all the #MTBoS love and support🥰THANK YOU to everyone who contributed to making #MathPlay🧮 a reality🙏I'm giving away 5 signed copies, to enter simply like & repost🩷🔃#CodeBreaker🦾 #ITeachMath #STEM #EdTech #Maths #ElemMathChat🎲 pic.twitter.com/KiF5fnv9Nk

— Libo Valencia 🧮 MathPlay (@MrValencia24) July 3, 2024

It's great that she continues to add to the list of visual patterns
Curriculum Tags: All
https://x.com/fawnpnguyen/status/1808565790935036284

Hi! I hope your summer has been splendid.

I created three new visual patterns: 487, 488, and 489.https://t.co/hobByX78Su #visualpatterntalk pic.twitter.com/WUpeEY5yHA

— Fawn Nguyen (@fawnpnguyen) July 3, 2024

Video Links

A couple of videos on types of means from @HowieHua
Curriculum Tags: MDM4U
https://x.com/howie_hua/status/1807232046785503301
https://x.com/howie_hua/status/1808577262343893486

How can we visualize the geometric mean of 2 or 3 numbers? pic.twitter.com/jwuebNABTn

— Howie Hua (@howie_hua) June 30, 2024

When would we ever use the harmonic mean instead of the arithmetic or geometric mean? Here's one example: pic.twitter.com/zBwr55ceDy

— Howie Hua (@howie_hua) July 3, 2024

Image Links

I like problems like this because you can work on them using simple brute force methods as well as more complex and elegant algebraic and graphical methods
Curriculum Tags: All
https://x.com/jamestanton/status/1806928583858004200

Two rectangles have the same area and the same perimeter. Must they be the same rectangle? pic.twitter.com/qwBIIqzrcb

— James Tanton (@jamestanton) June 29, 2024

Thanks to @AnniePK for pointing out this feed
Curriclum Tags: All
https://x.com/samira_mian/status/1808165427886842334

Pattern of the month on Patreon!

Read about this and all my upcoming online and in-person workshops in my latest Newsletter:https://t.co/8RNihja9Rk pic.twitter.com/FutrLFaIs4

— Samira Mian Islamic Geometry (@samira_mian) July 2, 2024

Math Links for Week Ending June 28th, 2024

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I think it's been a while since I saw @Annie_Pk create some of her geometric art. So it's good that she has started back up again.
Curriculum Tags: All
https://x.com/anniek_p/status/1806529053823840298

It seems I wasn’t wrong to skip TV tonight. I’m sure I’ll get the highlights in the next few days. I did this instead. Pattern from Samira Mian’s Patreon.

If your attention is sufficiently grabbed, please check my pinned link. pic.twitter.com/QWLS21hpPf

— Annie Perkins (@anniek_p) June 28, 2024

Resource Links

A simple puzzle that you could use for an opener and I have made a polypad interactive to go with it
Curriculum Tags: All
https://x.com/alexbellos/status/1805128979445076382
https://polypad.amplify.com/p/iZKJCjzGFZicrg

Rearrange two 30-60-90 triangles with no overlaps so the combined shape has a line of symmetry.

Find BOTH solutions

(one of the puzzles from today's column.) pic.twitter.com/OV00K8hGOx

— Alex Bellos (@alexbellos) June 24, 2024

Video Links

It's always good to know the difference
Curriculum Tags: All
https://x.com/RCM_LTTA/status/1806093228598292712

What's the difference between applied and pure math, and how does it affect math learning? Here's what @DrPamB has to say @the_rcm @FieldsInstitute #mathiseverywhere #mathchat @mashupmath @MathletePearce @OAMElearns pic.twitter.com/YcuXJdXFH0

— LTTAatRCM (@RCM_LTTA) June 26, 2024

Geometry to the rescue

Curriculum Tags: MTH1W
https://x.com/Rainmaker1973/status/1804869607141802226

Geometric cut that lets you divide a cake in 32 equal slices.

[📹 muddlethroughmummy]pic.twitter.com/XvUKKHybvn

— Massimo (@Rainmaker1973) June 23, 2024

Image Links

It's pretty cool that this is over 100 years old
Curriculum Tags: All
https://x.com/pickover/status/1804870901344633025

Mathematics.

Imagine the patience required to compute and draw this in 1909.

A hand-drawn graph of the absolute value of the complex gamma function, from "Tables of Higher Functions" by Jahnke and Emde, 1909. pic.twitter.com/53hpplOIcq

— Cliff Pickover (@pickover) June 23, 2024

Math Links for Week Ending June 21st, 2024

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Get ready for the Great Internet Math Off. 16 mathematical Internet personalities will go head to head to do something interesting related to math. And you get to vote for the best. The competition starts in July. So stay tuned. More info at the link below
Curriculum Tags: All
https://aperiodical.com/2024/06/announcing-the-big-internet-math-off-2024/

Resource Links

In Ontario, in our new(ish) grade 9 course there are expectations around number systems and the cultural significance of numbers. This is relatively new for our classes to focus on and so sometimes resources are sparse. That being said, it's great when people lay out a whole lesson that fits it and gives an interesting perspective. Thanks to @MSBJaccobs
Curriculum Tags: MTH1W
https://themathguy.blogspot.com/2024/05/kaktovik-numerals.html

Had a really good time in two Grade 8 classes today learning about the wonderful Kaktovik numerals. A great task for @BTCthinks #ThinkingClassrooms which I followed up with some mild, medium and spicy questions. pic.twitter.com/bEHLiWTwv6

— Michael Jacobs (@msbjacobs) May 27, 2024

Video Links

I like when my Twitter follows collide
Curriculum Tags: MTH1W
https://x.com/jamestanton/status/1803219999617630715

Thanks @howie_hua! Indeed, the word "simplify" in school textbks without context drives me bonkers!
Command: Simplify√20
Response: Looks great as is to me!
All depends on what you want to do next with √20.
Writing up all my radical thoughts herehttps://t.co/gPEvhQgZsc https://t.co/jCHHjQHMMR

— James Tanton (@jamestanton) June 19, 2024

Image Links

I wonder if this should be an individual challenge or a full class challenge
Curriculum Tags: Gr8, MTH1W
https://x.com/jamestanton/status/1803295142427685001

Is it possible to fill in the numbers 1 through 25 in this grid so that all inequalities between numbers (horizontally and vertically) are respected?
What is a necessary and sufficient condition for 2D puzzles like these to be solvable? pic.twitter.com/0Lc1ukkg9D

— James Tanton (@jamestanton) June 19, 2024

Math Links for Week Ending June 14, 2024

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Though it's been out for a few months, I love this new podcast series from @FryRSquared where she looks at the stories behind important sets of data
Curriculum Tags: MDM4U
https://www.bbc.co.uk/programmes/m001qw8x

Resource Links

It's probably not just good for English majors but for any students who struggle with math
Curriculum Tags: All
https://mathwithbaddrawings.com/2024/06/11/math-for-english-majors/

Introducing the book I've always wanted to write.https://t.co/gxRaOoXLMQ

— Ben Orlin (@benorlin) June 11, 2024

Video Links

Is this the oldest math textbook? It's still interesting that some of the problems are the same ones we do today.
Curriculum Tags: All
https://www.youtube.com/watch?v=g_qbIsltNmQ

Image Links

Something to get your kids thinking at the beginning of Math class
Curriculum Tags: All
https://x.com/jamestanton/status/1801898439241867361

What's the least number of blue squares one needs in a 4x4 grid of red and blue squares so that there is no loop of vertical and horizontal step that is all red or all blue?
(For 2x2, one; for 3x3, two.)
The least number for a 5x5 grid? pic.twitter.com/6PATr0T0Cj

— James Tanton (@jamestanton) June 15, 2024