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Dive into the fascinating world of numeration systems including Roman, Babylonian, Mayan, and Egyptian methods. Explore the significance of positional systems, the number 60, symbol for zero, and the concept of zero in different cultures. Analyze similarities, differences, advantages, and disadvantages of each system. Engage in group activities, complete textbook readings, and work on creating an Alphabitia poster. Get ready to expand your numerical knowledge in this educational journey.
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January 22, 2009 “Whether you think you can or can’t, you’re right.” -Henry Ford
January 22, 2009 • Sec 2.3: Numeration (know: Roman, Babylonian & Mayan be able to use Egyptian) • Exploration 2.8
2.3 (cont’d) Babylonian system • Positional system • The number 60 • Symbol for zero: • (developed later) • Reason we have 60 • minutes in an hour!
2.3 (cont’d) Mayan system • The number 20 • Used the concept of zero, but only for place holders • Used three symbols: • 1 5 0 • Wrote their numbers vertically: is 5 + 5 = 10, is 4 + 5 + 5 = 14
2.3 (Mayan system cont’d) Mayans left a vertical gap to represent place value: • is one 20, and 0 ones = 20. •• • is two 20’s + 6 = 46
2.3 (cont’d) Write the following numbers in Roman, Egyptian, Babylonian and Mayan numbers: 8 49 111
2.3 (cont’d) Answers:
2.3 (cont’d) What similarities/differences do you see in these systems? Advantages/disadvantages of each system?
Exploration 2.8 (Alphabitia) • Read the introduction and Part 1 • Use the “artifacts” and work on Part 1 as a group. • Work on Part 2 #1 as a group, once you are all comfortable with your system. The poster is part of your homework for Tuesday. • (exchange contact information with your group)
Homework • Read textbook section 1.7 & pgs 101 – 108 • Do the textbook problems listed online • Finish the Alphabitia table you started in class; as a group, create a poster as outlined in the Explorations book. • We will continue Exploration 2.8 on Tuesday.