@samjshah.bsky.social

high school math teacher! #mtbos

440 Followers 348 Following 243 Posts Joined Nov 2024
1 day ago
"A 'Crack the Code' puzzle for Week 6. Five three-digit number clues are given: 342 (one number correct and well placed), 273 (nothing is correct), 165 (one number correct but wrongly placed), 853 (one number correct and well placed), and 264 (two numbers correct but wrongly placed). Three blank boxes at the bottom await the solution." A 'Which One Doesn't Belong?' activity showing four coordinate plane graphs. Top left: a black cubic function with a blue tangent line at a point near the origin. Top right: a black circle with a blue tangent line touching it. Bottom left: a black parabola opening upward with a blue tangent line at a point on the left side. Bottom right: a black cubic with a blue secant line. Students are asked to find a reason why each graph does not belong. A warm-up asking students to find dy/dx for four similar-looking trigonometric functions: y = sin(2x), y = sin(x²), y = sin²(x), and y = 2 sin(π/2).

Every day in Calculus, there's a warm-up on the board as students walk in. Gets them thinking and sets the tone before we even start. A few from this week: Crack the Code, Which One Doesn't Belong?, and four trig derivatives. Low stakes, high engagement. #ITeachMath #MathsToday

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4 days ago

(I got my masters degree in history of science so it was up my alley.)

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4 days ago

I did! And I even read it with students. I too thought it was great. The thing about his work is that it is “real” history of math (like part of the academic history world), so it’s more dense than a lot of popular math books. i wonder if thats why others might not have liked it???

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5 days ago
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I probably won’t be able to read this book (Proof: How the World Became Geometrical) for a while. But I thought the two other books by the author were great. And what a lovely cover! #mtbos

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1 week ago

These are great questions for students to be asking as they approach a challenging math question.

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2 weeks ago
Four napkin rings of various radii The four napkin rings are the same height

At Gathering 4 Gardner, @cardcolm.bsky.social suggested I try the following 3D-printing project.

Recall the "napkin ring problem": Take a sphere of radius r and drill out a hole along a diameter so the remaining shape has height h. Then the volume, V = πh³/6, does not depend on R.

He thought that

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2 weeks ago
A 3D-printed sphere sliced into equal-height pieces.

Another 3D-printing suggestion from @cardcolm.bsky.social:

Archimedes proved that if you slice a sphere of radius r with two planes a distance h apart, the surface area is 2πrh—the same as a cylinder of the same radius and height. So, it doesn't depend on where the slicing occurs.
1/2

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2 weeks ago
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I used to pride myself on writing questions that assessed what we had talked about, but in new & different ways.

They'd get plenty of "the standard" questions, but I'd regularly mix in extension problems to see how they can apply their understanding.

This was a favorite

#mtbos
#iteachmath

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2 weeks ago

I feel similarly!

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2 weeks ago

Small Rhombicosidodecahedron if u even care.

I know it can be made with a single (incredibly long) modelling balloon because every vertex only has four lines coming from it, so it has an ✨Eulerian path✨

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2 weeks ago
Preview
G4G16 Gift Exchange The gift I made for Gathering 4 Gardner in 2026, together with files so you can make more at home.

I wrote a blog post about my G4G16 gift. If you want a copy of your own, download and print the files!

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2 weeks ago
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Golly I love living in NYC. I got a ticket for this at noon today.

I was filled with childlike wonder for 5 minutes of paper planes swirling down from an oculus…

thewangcontemporary.org/events/20000...

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8 months ago
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Three knight's tours of a 32x32 chessboard. Each contains the set of edges (knight's moves) shown in the top left. Each is a single unicursal path that can be traced without lifting one's writing implement from the paper. #mathart

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8 months ago
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Three knight's tours of a 32x32 chessboard. Each contains the set of edges (knight's moves) shown in the top left. Each is a single unicursal path that can be traced without lifting one's writing implement from the paper. #mathart

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8 months ago
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Three knight's tours of a 32x32 chessboard. Each contains the set of edges (knight's moves) shown in the top left. Each is a single unicursal path that can be traced without lifting one's writing implement from the paper. #mathart

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8 months ago
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Three knight's tours of a 32x32 chessboard. Each contains the set of edges (knight's moves) shown in the top left. Each is a single unicursal path that can be traced without lifting one's writing implement from the paper. #mathart

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4 months ago
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Two knight's tour (32x32 and 64x64). Two terms of an infinite sequence of tours.

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3 weeks ago
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Built a “3D” sphere (SVG) to show RYB transformations.
Over-iterated in @codepen.io

10% optimization, 90% procrastination.

codepen.io/meodai/full/...

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2 weeks ago
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A few more experiments! Nothing new but these look nicer than my last set I think!

#mathart #mtbos

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2 weeks ago

This is so gorgeous!!! And looks like so much fun! 🤩 I must try this at my school!

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2 weeks ago
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This afternoon was the "Hands-On Activities" portion of the conference. I brought the supplies (150 laser-cut pieces of wood, 1000 yards of yarn, wood glue, and 50 binder clips) to make a giant cardioid and a giant nephroid. It was fun, and I think they turned out great.

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3 weeks ago

I don't believe you.

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3 weeks ago
puzzles by topic in Notes

This is a first attempt at categorising @catrionaagg.bsky.social 's puzzles by the techniques used to solve them.

My hope is that this makes it easier to use them in class.

notes.mathforge.org/notes/publis...

#mathsky #UKMathsChat #ITeachMath

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3 weeks ago

We were invited to read from our books, which I did of course. But first I had some opening words, which I thought I'd share with you here.

I'll share video too, once that's available.

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3 weeks ago

No.

JK. Yes!

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3 weeks ago
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Charles O Perry sculpture in the lobby of the Hyatt Regency in San Francisco

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3 weeks ago
Image is a subsection of Van Goghs Starry Night.  It’s the large whorl in the sky.  Over the image is a vector field which points along the whorl. The vector field is -sin(x-y) for the i component and cos(x+y) for the j component.  The vector field is handwritten.  The image is black and white. The vector field F=<x,2-x^2> is overlayed on the image of a fountain in a pond.  The water sprays straight up and falls down into a circular region.  The vectors point along the motion of the water.

Vector fields as art. In #MathsToday the students had to create a vector field and overlay it with a picture to create Vector Art.

Just a fun little extension at the end of a unit. #iTeachMath

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3 weeks ago

Clap clap clap clap clap

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3 weeks ago
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I was gifted a gorgeous origami sculpture of five intersecting tetrahedra. This inspired me to recreate it using Desmos.

www.desmos.com/3d/m7hqyu2gpr

en.wikipedia.org/wiki/Compoun...

@desmos.com #iTeachMath

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3 weeks ago

Oooh I have no idea yet. I literally have been grabbing/creating svg files and using them to draw with the draw tool, or cut with the cut tool. I haven’t really done anything other than this and cutting out pentagons :) but I’m hoping to get inspired???

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