Bouncy Numbers Educator Resource Guide

BOUNCY NUMBERS

PIPER MAKE EDUCATOR RESOURCES SERIES

STARTER EXPEDITION KIT

Advanced

1 hr

Ages 8+

You will need a Starter Kit to do this mission. Get yours here:

Understand how to code mathematical operations to illustrate the assumptions of the Collatz Conjecture and apply it to an inputted number.

Understand the basics of what the Collatz Conjecture means and theoretically why it results in bouncing numbers that "bounce" to one.

Understand computational thinking concepts, including algorithms, sequence of instruction, and variables.

You can share the mission directly to your Google Classroom after logging into your Google educator account in the top right corner of Piper Make.

Check out our easy assignment template that you can use to ask students to share their work by including pictures of their final circuits and code.

Check out our Python-focused assessment that you can copy and share directly to your Google Classroom.

Useful vocabulary terms to use in classroom: input, output, microcontroller, GPIO pins, circuit

Numbers not reaching 1 over time?

What is the Collatz Conjecture?

The Collatz conjecture states that the orbit of every number under f eventually reaches 1. While no one has proved the conjecture, it has been verified for every number less than 2⁶⁸. So if you're looking for a counterexample, you can start around 300 quintillion.