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January 27, 2009

January 27, 2009. “A positive attitude may not solve all your problems, but it will annoy enough people to make it worth the effort.” -Herm Albright. January 27, 2009. Exploration 2.8 – group Alphabitia systems – class Alphabitia system

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January 27, 2009

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  1. January 27, 2009 “A positive attitude may not solve all your problems, but it will annoy enough people to make it worth the effort.” -Herm Albright

  2. January 27, 2009 • Exploration 2.8 – group Alphabitia systems – class Alphabitia system • Exploration 3.1 (Addition and Subtraction using the class Alphabetia system)

  3. Exploration 2.8 (cont’d) • Teach us about how your system is designed.

  4. Exploration 2.8 (cont’d) • Remember, there is a distinction between a quantity (“number”) and the symbol we use to represent the quantity (“numeral”). • It is important that we have only ONE way to represent a number. • It is also important that we can continue our system (i.e. given a number, we can determine what comes next)

  5. Exploration 2.8 (cont’d) • We will need a common class Alphabetia system to use. • There’s something special about this system! (We’ll discover this a bit later.)

  6. Exploration 2.8 (cont’d) Class Alphabitia system: We’ll use “0” as a placeholder.

  7. Exploration 2.8 (cont’d) Place value system (no gaps required) 5 is important number Counting: using visual aids A, B, C, D, A0, AA, AB, …

  8. Exploration 2.8 (cont’d) Examples: What comes next after… • AA • BD • BAD • ABD • A0A

  9. Exploration 2.8 (cont’d) Examples: What comes before… • D0 • B00 • D0D0

  10. Exploration 3.1 Addition & Subtraction in Alphabetia • Together, we’ll do Part 1 #2a. • Either write the explanation in words or draw pictures explaining.

  11. Exploration 3.1 (cont’d) With a partner, doPart 1: #3 do the first three.Part 2: #3 do a, e, and i.

  12. Homework • Exploration 3.1 Part 2 #3: do b, f and j. Explain your thought process carefully for each of these.

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