This recent one from @mirangu@twitter is fascinating because the regular pentagon means there will be phi in the workings.

#geometry #MathPuzzle

@dhabecker I'm only not answering here because I did the problem originally when posted. It's a fun #MathPuzzle

I like the problems where the setup is super simple but it seems like there isn't enough info to solve and yet ... there is.

via: @BehroozParhami@twitter

#MathPuzzle #Geometry

If DQ is 5cm and the area of ADQP = area of BCQP what is the length of AP?

via @five_triangles@twitter #MathPuzzle #geometry

When is the following expression an integer?

\( \dfrac{6^{r+s} \cdot 12^{r-s}}{8^r \cdot 9^{r+2s}} \)

[@solvemymaths via MAT]

#MathPuzzle

Let's test hypothesis about cats driving engagement today :)

via Angel Palacios

#MathPuzzle

#MathPuzzle #ClassroomMath #prompt4

Not a specific puzzle being shared, but...
I like having challenges available for my students should they finish their task before others. Sometimes I give challenges related to the content of what we are doing, and other times they are more generic. I keep on hand booklets of logic puzzles from Puzzle Baron and Inkies from Crazy Dad (otherwise known as Ken Ken puzzles). For both, you can choose a variety of difficulty levels on their websites.
https://logic.puzzlebaron.com/
https://krazydad.com/inkies/

http://blog.mathoffthegrid.com/2019/05/langleys-adventitious-angles.html

Since @wtgowers was live solving Langley's Adventitious angles on youtube today here's my old post on it.

Hint: you need to add auxiliary lines. Try increasing the symmetry

#MathPuzzle

#MathPuzzle #prompt4 #ClassroomMath

I had so many problems that came to mind that I wanted to share... But I chose this problem because I wanted to share something that brought ME joy when I figured it out... but also something that I use in my class because of it.

It all started with "The Block Problem" which then led me to think about higher dimensional cubes which then led me to a chart... A chart that ended up holding lots of cool mysteries!

I always get to the point in my Adv. Precalculus classes where I get kids to answer the first question I pose in the blogpost below. So that's how I use this problem in class. But the second and third problems, I just really love. One year we solve them in class (the year I discovered them). But mainly I felt so proud of myself that I *could* solve them!

https://samjshah.com/2023/07/17/hypercubes-and-more-two-problems-you-may-enjoy-working-on/

#MathPuzzle #prompt4 #ClassroomMath

I love this 3 ACT task and it is awesome for an 8th grade / pre-algebra / algebra 1 level class.

[Google Dan Meyer 3-ACT for some details about 3 ACT tasks if you need insight into how to execute this type of task. S/O to Andrew Stadel for the awesome task via 101qs.]

https://www.101qs.com/1897-stacking-cups--act-1

Variant on yesterdays problem that is fun in its own right and a lemma towards a synthetic proof.

Given 2 right isoscleses triangles. ABC and CDF hinged together at C, if you connect BD and form a another right isosceles triangle BDE, show ACFE is a parallelogram

#MathPuzzle #geometry

Since James Tanton isn't here and this problem is quite interesting:

*Two isosceles right triangles are hinged at corners as shown. Line segment connecting midpoints of their hypotenuses is used as the hypotenuse of yet another isosceles right triangle.
Prove A, B, C lie on a straight line.
Can anything be said about where B sits on segment AC?". #MathPuzzle #geometry

#ClassroomMath #prompt4

Today, my math peeps, we’re going to be sharing and maybe doing math! Is there a problem that you love having your kids work on? A favorite problem that evokes conversation and ah hah moments? Or is there a math problem or puzzle you’ve seen or done that made you go “oh, wow!”?

In your post:
1. Write down your math problem! If you use it in your class, share the grade/class you use it with, and why you like the problem for your kids. If it’s just a recreational math problem or puzzle, feel free to just drop it in the post. You can decide whether you want to give a hint or not! (NOTE: you can use the “CW” button when writing a post to hide the post’s content until someone clicks on it… so you can type the problem in one post, and then in a reply to that post, you can use “CW” to hide the hint until someone decides they want to see it.)
2. Tag your post with #MathPuzzle and #prompt4 and #ClassroomMath

Don’t forget to bookmark any problem/puzzle you might want to use in the future!

To practice using the site, we have just one challenge for you: practice using the fancy math ability of mathstodon to write an equation in a post. The fancy math equations only show up when you read posts on the desktop (not in apps, yet…), but it’s pretty awesome.

From the desktop page, click on the “f(x)” button and click “inline equation.” Some slashes and parentheses will appear. In between those, type:

\[ g(x)=\frac{\sqrt{3x-5}}{3}+\frac{x^{52}-x}{3\pi \sin^{2}(x)}-5x^{6}+a_{n} \]

See what happens! Believe it or not, you’ve typed pretty LaTex math.

#ClassroomMath #prompt4

Today, my math peeps, we’re going to be sharing and maybe doing math! Is there a problem that you love having your kids work on? A favorite problem that evokes conversation and ah hah moments? Or is there a math problem or puzzle you’ve seen or done that made you go “oh, wow!”?

In your post:
1. Write down your math problem! If you use it in your class, share the grade/class you use it with, and why you like the problem for your kids. If it’s just a recreational math problem or puzzle, feel free to just drop it in the post. You can decide whether you want to give a hint or not! (NOTE: you can use the “CW” button when writing a post to hide the post’s content until someone clicks on it… so you can type the problem in one post, and then in a reply to that post, you can use “CW” to hide the hint until someone decides they want to see it.)

2. Tag your post with #MathPuzzle and #prompt4 and #ClassroomMath

Don’t forget to bookmark any problem/puzzle you might want to use in the future!

To practice using the site, we have just one challenge for you: practice using the fancy math ability of mathstodon to write an equation in a post. The fancy math equations only show up when you read posts on the desktop (not in apps, yet…), but it’s pretty awesome.

From the desktop page, click on the “f(x)” button and click “inline equation.” Some slashes and parentheses will appear. In between those, type:

g(x)=\frac{\sqrt{3x-5}}{3}+\frac{x^{52}-x}{3\pi \sin^{2}(x)}-5x^{6}+a_{n}

See what happens! Believe it or not, you’ve typed pretty LaTex math.

@UnsolvedMrE #MathPuzzle

A classic area puzzle setup.

#MathPuzzle #geometry

@aksharvarma only because you can't do boolean hashtag searches I've been using #MathPuzzle

This one's quite a bit more complicated than the last problem I posted.

I thought it might make a good walk through sometime soon although I wouldn't do it live ala @DavidKButler as my own process is both more interrupted and sometimes takes a few days for complicated things.

via [@EylemGeryk]

#MathPuzzle #Geometry

That last problem (https://mathstodon.xyz/@benleis/110680805281317873) reminded me a bit in structure of this one which has a similar twist and might make a good warm up if you haven't tried it yet.

Given a right isosceles triangle ABC with three congruent angles ACD, CBD and BAD of measure θ that meet at point P find the tangent of θ .

I'm not quite sure its there but extra credit for finding a hidden 3-4-5

#geometry #MathPuzzle

I was thinking about the excellent gogeometry.com site. This is the problem that I first tried n years ago. It looks simple but I spent a week at it.

#MathPuzzle #geometry