Mathworlds

Share this post

Create Your Own Mathematical Mystery Box

danmeyer.substack.com

Create Your Own Mathematical Mystery Box

Let's do a summer contest.

Dan Meyer
Jun 22, 2022
24
17
Share

You say 1. The box says 2.

You say 2. The box says 5. 

You say 3. What will the box say?

For the sake of this contest, let's call what's going on here a mathematical mystery box. This one is numerical, but that isn't important. It could have been geometric, graphical, verbal, etc. 

What's important is …

  1. The box contains an unknown mathematical relationship.

  2. You can throw your thoughts at the box. 

  3. You get to see how the box transforms those thoughts.

  4. You're invited to speculate about the relationship in the box.

At Desmos Classroom, our free Activity Builder offers a fantastic environment for creating mathematical mystery boxes. You can set up different components—tables, equations, graphs, animations, etc—tuck the relationship behind the scenes (in the box if you will) and let students play with it.

A screen that asks students to "Throw a number at the box and see what comes out." Then someone puts in 2 and 5 comes out. The question follows: "Do you know what's going on in the mystery box?"

Check mine out! Here's how I made it.

The key parts are, first, a math component where students can type a number. I have named that number input number_input using the same care with which I named my beloved children, child_1 and child_2.

A number input called "number_input".

Then, in a note component farther down, I added the following “Computation Layer” code:

mystery_box = simpleFunction("a^{2}+1", "a") #1

num_in = number_input.numericValue #2

num_out = mystery_box.evaluateAt(num_in) #3

content: "`${num_out}` #4

Do you know what's going on in the mystery box?"

hidden: not(number_input.submitted) #5

What each line does:

  1. Creates the mystery function, which we'll use later.

  2. Grabs the number from the number input.

  3. Uses the mystery function on the number.

  4. Determines what people will see in the note.

  5. Razzle dazzle (by my standards) so people won't see the note until they submit a number.

That's it!

Why don't you create and send in your own mathematical mystery box using Activity Builder sometime between now and July 15, 2022, 11:59PM Pacific? 

Rules: Make it one screen only.

Submission: Send the link into the comments here or get it to me via DM at Twitter or dmeyer@amplify.com. I'll collect them all into one activity and share.

Prize: Everyone's submission will receive some appreciative and constructive words from me or our Graphing / Computation Layer teams here. I'll select a few random submissions to get some free Desmos Classroom gear.

If you have an idea you like but don't know how to work the technology, then let us know in the comments. If you know how to work the technology but don't have an idea you like, let us know in the comments as well. We'll figure out how to make some matches.

The Design With Desmos course screen.

Also, a bunch of us at Desmos Classroom are offering a two-week long course called Design With Desmos which will cover all of these skills and more. There are only 12 more slots as I'm posting this.

And if you are simply doing your absolute best just to pick yourself up off the ground after the last school year then [salutes weirdly] please accept best wishes from all of us here at Mathworlds and our highest hope to see you back in the fall. 💙

24
17
Share
17 Comments
Dylan Kane
Writes Five Twelve Thirteen
Jul 6, 2022

Here's mine:

https://teacher.desmos.com/activitybuilder/custom/62b858934b545ec2e57ac5e2

Expand full comment
Reply
1 reply
Leigh Nataro
Jul 1, 2022

Mine has a cooking theme: https://teacher.desmos.com/activitybuilder/custom/62bf331fc4848d052acb4066

Expand full comment
Reply
15 more comments…
Top
New
Community

No posts

Ready for more?

© 2023 Dan Meyer
Privacy ∙ Terms ∙ Collection notice
Start WritingGet the app
Substack is the home for great writing