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January 22, 2009

“Whether you think you can or can’t, you’re right.”

-Henry Ford

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January 22, 2009

• Sec 2.3: Numeration

(know: Roman, Babylonian & Mayan

be able to use Egyptian)

• Exploration 2.8

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2.3 (cont’d) Roman system

Value Symbol Value Symbol

1 I 100 C

5 V 500 D

10 X 1000 M

50 L

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2.3 (cont’d) Egyptian system

             

1 = (staff) 10,000 =(pointing finger)

10 =(heel bone)

100,000 =(fish or tadpole)

100 = (scroll) 1,000,000=(astonished person)

1000 =(lotus flower)

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2.3 (cont’d) Babylonian system

Value Symbol

1

10

•Positional system

•The number 60

•Symbol for zero:

(developed later)

•Reason we have 60

minutes in an hour!

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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

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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

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2.3 (cont’d)

Write the following numbers in Roman, Egyptian, Babylonian and Mayan numbers:

8 49 111

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2.3 (cont’d)Answers:

Hindu-Arabic

Roman Egyptian Babylonian Mayan

8: VIII ||||||||

49: IL∩∩∩∩||||||||

|

111: CXI ∩|

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2.3 (cont’d)What similarities/differences do you see in

these systems?

Advantages/disadvantages of each system?

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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)

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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.