# Play a few rounds of rock-paper-scissors with someone els

What sort of options do you have when you play? Isn’t there a sort of “hierarchy” of which option beats who? Draw this out, then explore what this looks like if we just applied abstract numbers to these options.
ACTIVITY 2 DIFFERENT BASE NUMBER SYSTEMS: WHAT DO YOU NEED TO DO IN ORDER TO ADJUST NUMBERS?
Research what it means to have a “different number system.” To give you an idea to start out with, the most common number system is Base 10, the number system that you’re used to:
0, 1, 2, 3, 4, 5, 6, 7, 8, 9
There are two reasons that we call this the Base 10 system. If you consider the list of possible digits above, there are only 10. As soon as you go outside of this list, you just start combining options:
10 is just a 1 and 075 is just a 7 and 5
But even more specifically, that second place value is the tens place.
10 is really 10 and 075 is really 70 and 5
There are other number systems out in the world though: Base 2 (binary), Base 8 (octal), Base 16 (hexadecimal). You can really do any base that you want. The key is that second place value. When we write numbers in a system that isn’t Base 10, we write a little subscript to indicate the base:
101Two means it’s the number 101 in Base 2732Eight means it’s the number 732 in Base Eight
Explore this fun little website to see if you can figure out how numbers are translated across different base systems: http://www.cleavebooks.co.uk/scol/calnumba.htm
ACTIVITY 3: MATH ARCHEOLOGY: DIFFERENT NUMBER SYSTEMS THROUGHOUT HISTORY
In a group research one of the ancient number systems of our world. Your team will need to become “gurus” at this number system because you are going to bring everything you learned back to the rest of the class. As a guide, try to find out the different symbols used, what sort of base system the culture used, and if there were any sort of weird rules that were needed in order to use the system appropriately. See the chart in the job aid to help you organize yourself for each of the systems.
ACTIVITY 4: DIFFERENT WAYS OF MULTIPLYING NUMBERS, LARGE AND SMALL
Humans haven’t always used a calculator. And not all cultures had an abacus either. So they had to use different arithmetic systems by hand, especially when it came to multiplication. Surprisingly enough, some primary schools are going back to some of these older methods of multiplication to teach our children so that they can be better 21st Century learners.
Research some of the allternate Multiplication Methods: Egyptian Method, Russian Peasant Method, Lattice Method