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January 29, 2009 "I never failed once. I invented the light bulb. It just happened to be a 2,000-step process." -Thomas Edison (after he was asked about his 2,000 “failed” attempts!)
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January 29, 2009 Another homework note Section 2.3 (cont’d) – bases Exploration 2.9 – more bases
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Homework note Since you will be teaching math, it’s vital that you write math correctly. What’s wrong with this: Ex: Add 5 and 7, then divide the result by 4. 5 + 7 = 12/4
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2.3 (cont’d) Our class Alphabitia system is a “base 5” system. Typical notation for base 5: instead of A, B, C, D, A0, AA, etc., write 1 5, 2 5, 3 5, 4 5, 10 5, 11 5, etc.
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2.3 (cont’d) When you see “321 5 ”, say “three-two-one base 5” Let’s count in base 5: 1, 2, 3, 4, 10, 11, 12, 13, 14, 20, 21, 22, 23, 24, 30, 31, 32, 33, 34, 40, 41, 42, 43, 44, 100, 101, 102, 103, 104,…
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2.3 (cont’d) Ex: Explain your thought process for these. a)Convert 123 5 into our usual (base 10) numbers. b) Convert 167 10 into base 5.
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2.3 (cont’d)
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As you explore various bases, think about how they are similar to base 10. Can you see why some children have trouble learning the base 10 system?
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Exploration 2.9 You will learn and practice with base 6, base 2 and base 16. Base 2: Important in computer science Also known as “Binary” numbers Base 16: Important in computer science, too! Also known as “Hexadecimal” numbers
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Exploration 2.9 Base 6: just another base that can be used (I can’t see any particular reason why 6 was chosen here…)
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Exploration 2.9 Read the introduction (pg 43). Do Part 1 #1a. Do Part 1 #2 (try this by yourself first, then discuss with your table) Repeat for Base 2 and Base 16 (typos in base 16 section) Questions?
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Exploration 2.9 Work on Part 3: #2 & 3 and Part 4: #1, 2 & 4 (these are due on Tuesday)
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Homework Read textbook pgs 109 – 118 Do the textbook problems listed online Exploration 2.9 Part 3: #2 & 3 Part 4: #1, 2, 4
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