Warm Up Activity Four 4s - PowerPoint PPT Presentation

About This Presentation
Title:

Warm Up Activity Four 4s

Description:

Numbers vs Numerals Early numbers ... all over Europe from the Roman Empire Mayan--only three symbols Hindu-Arabic--what we use today Egyptian Numerals Used ... – PowerPoint PPT presentation

Number of Views:74
Avg rating:3.0/5.0
Slides: 18
Provided by: Suzan135
Category:
Tags: activity | four | mayan | numbers | warm

less

Transcript and Presenter's Notes

Title: Warm Up Activity Four 4s


1
Warm Up ActivityFour 4s
  • Use four 4s and the arithmetic operations (, -,
    x, /) plus grouping symbols to create each of the
    counting numbers from 0 to 10.
  • Use exactly four 4s for each number.

2
Counting
  • Did humans always do math as we do it today?
  • Did they always use the symbols we use?

3
Numbers vs Numerals
4
Early numbers
  • Numbers did not start out as 1, 2, 3,
  • The first numeration systems were often 1, 2,
    many. More complex number systems arose out of
    need.

5
Numeration Systems
  • Tally systems at a time.
  • Egyptian--probably earliest known
  • Babylonian--only two symbols
  • Roman--most widespread, all over Europe from the
    Roman Empire
  • Mayan--only three symbols
  • Hindu-Arabic--what we use today

6
Egyptian Numerals
  • Used at about the same time as Babylonian
    Numbers--many similarities
  • More symbols
  • 1 10 100 1000 10,000
  • More symbols for 100,000 and 1,000,000

7
Egyptian Numeration
  • 300 10 310 (Notice no ones)
  • 20,000 300 4 20304

8
Babylonian Numerals
  • Initially, no zero. Later developed
  • Two symbols only? 1 10.
  • Additive when written from greatest to least
    ? ? ? 1010111
  • Use 60 as a base--there is a break after 60.? ?
    ? ? means 606060101

9
Babylonian Numeration
  • ? ? ?
  • 1 ____ 11 60 21
  • 1 60 60 11 60 21
  • 3600 660 21 4281

10
Mayan Numerals
  • Used the concept of zero, but only for place
    holders
  • Used three symbols --- 1 5 0
  • Wrote their numbers vertically is 3 5
    8, --- is 5 5 10

11
Mayan Numeration
  • New place value left a vertical gap.
  • is one 20, and 0 ones 20.
  • is two ___ 6

12
Roman Numerals
  • No zero.
  • Symbols I 1, V 5, X 10, L 50, C 100,
    D 500, and M 1000
  • If the Roman Numerals are in order from greatest
    to least, then addVII 5 1 1 7 XVI 10
    5 1 16

13
Roman Numerals
  • I 1, V 5, X 10, L 50, C 100, D 500,
    and M 1000.
  • If the Roman numerals are NOT in order from
    greatest to least, then subtract where the order
    is wrong.IV 5 - 1 4 IX 10 - 1 XCII
    100 - 10 1 1 92

14
Exploration 2.8
  • Exploration 2.8--We will not do this entire
    thing--it is too long! But we will do parts.
    Today, we will begin with manipulatives.

15
Alphabitia
  • Read the introduction.
  • Use the artifacts. Unit Long
  • Flat

16
Your job
  • Create a numeration system for your tribe using
    the artifacts left by the member who died. Think
    about what features are desirable in a numeration
    system. Make notes, and be ready to explain it
    to others who are not part of this tribe. It
    should be logical, and be able to be continued
    past Z.
  • Be ready to present your groups numeration
    system for the Alphabitians on Tuesday.

17
Alphabitia Numeration System Proposals
  • What did you come up with in your group?
  • What are the pros and cons of your groups system
    and the other groups systems?
Write a Comment
User Comments (0)
About PowerShow.com