1. Week 3 Compare your table on p. 41 in explorations with your neighbors. Discuss differences and try to come to agreement. With one other person at your table, try this problem. What number comes next? 1, 2, 3, 6, 11, 20, 37, … Write it in Roman, Egyptian, Babylonian, Mayan, and Alphabetia numerals. 1, 2, 3, 6, 11, 20, 37, … Write it in Roman, Egyptian, Babylonian, Mayan, and Alphabetia numerals.

2. Next number is 68 Add the previous 3 terms to get the next term. Roman: LXVIIIBabylonian Mayan: Egyptian: Alphabetian: BCC

3. Agenda Note: Website updated. Tentative Schedule through first exam posted along with Final Exam date and time. Office hours also posted. A numerical coincidence. Review pros and cons of each number system. Practice writing a few numbers in different systems, including Alphabetia. Exploration 3.1 (Parts 1 and 2) Assign Homework If time – start looking at other bases

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5. Alphabitia A numbering system is only powerful if it can be reliably continued. Ex: 7, 8, 9, … what comes next? Ex: 38, 39, … what comes next? Ex: 1488, 1489, … what comes next?

6. Alphabitia A numbering system is only powerful if it can be reliably continued. (Do we all agree what Alphabitia looks like?) Ex: B, C, D, … what comes next? Ex: CC, CD, … what comes next? Ex: ADCC, ADCD, … what comes next? Represent these as base 10 amounts.

7. Exploration 3.1 Together, we’ll do Part 1 #2a. Either write the explanation or draw pictures explaining In groups of 2 or 3, do Part 1: #3 do the first two.

12. Homework Due Wednesday: Textbook: Read Section 3.1 (up to p. 143) Exploration 3.1: Part 1 # 3, 4 Draw pictures or write explanations for these explorations. Due Friday: Text: p. 119 # 2bdeg, 3b, 12ac, 15bc, 16bd, 17ai, 18bf, 19, 29