Mystery Device Number System Project:
In this project, you will use your Mystery Device to create your own number system. Make sure that your number system has clearly defined rules and will be possible for other students to apply and solve other working math problems. You must answer all parts and questions to receive full credit. Be prepared to explain your assignment to the people at your table and in an all class presentation. Best of luck!
Assignment due: March 9th 2010; 100 pts!!
Discuss and explain ALL properties of your number system. Comment on the following:
1.) Additive/multiplication features of your number system
2.) Zero
3.) Place Value
4.) Multiple/unique representations for numbers
5.) Similarities between your system and other ancient or invented systems
6.) Limitations of your system
Figure out the different numbers you can make on your Mystery Device using 3 beads (show work). The beads you use can change from number to number, but you must use only 3 for each number. Keep a record of your work using expanded notation.
7.) What do you think is the smallest number you can make with only 3 beads? The largest?
8.) If you could use any number of beads, could you make a number in more than one-way?
9.) Do you think there are numbers that can be made in only one-way?
Answer the remaining questions below to compare your Mystery Device system to our number system. Then make up at least three of your own questions for comparing number systems.
10.) Can you make a 3-bead number that can be written with exactly 3 digits in our number system?
11.) Can you make a 3-bead number with more than 3 digits?
12.) Can you make a 3-bead number with fewer than 3 digits?
13.) What are the building blocks of the Mystery Device system?
14.) What are the building blocks of our number system?
Create three math questions on your own, using YOUR number system. Make them challenging, but solvable.
15.) On your own…
16.) On your own…
17.) On your own…