View
28
Download
0
Category
Tags:
Preview:
DESCRIPTION
Need. Open big dag video Slips of paper for voting Prepare binary addition Prepare lines for fractions Rulers Big cards Little cards Bucket Warm-up: decimal multiplication and addition Make boxes on white-board above the heads of the volunteers Pencils. Agenda. - PowerPoint PPT Presentation
Citation preview
Need• Open big dag video• Slips of paper for voting • Prepare binary addition• Prepare lines for fractions• Rulers• Big cards• Little cards• Bucket• Warm-up: decimal multiplication and addition• Make boxes on white-board above the heads of the volunteers• Pencils
Agenda• Talk about
computer theory• Talk about
numbers• Ask for
volunteers to simulate a computer
• Play with cards
Agenda• Talk about computers• Talk about numbers• Ask for volunteers to
simulate a computer• Play with cards
Computer Science Teacher’s Association
• Google Workshop
• Reasons I think computer science should be part of the curriculum– Our freedom might depend on it– Lots of Jobs– Compete with the Khan academy– Fun, understandable with the math-level that they
teach in elementary school
• I’m biased because I think it’s important, not because I know a lot about it.
•Prefer chemistry
Freedom
http://www.youtube.com/watch?v=W1czBcnX1Ww
How do you feel about this?Scary? Interesting? Good? Bad?
Predicting New Jobs(per U.S. Bureau of Labor, 2008-2018)
Computer Specialists
Engineers, Social, Life
and Physical Scientists
• But A LOT of our technology is created in Europe and Asia.
• US government has to go outside the US to program, say, our defense systems.
Fun Part(well, in my opinion )
Information Technology
Teaches how to use technology
Computer Theory
Teaches the ideas needed to create
technology
Music Performance: How to perform music
Music Theory: How to compose music
Binary Numbers:
The Basis of Computer Theory
Two Important Questions:
1. What are numbers, and what are they for?
2. What are decimal numbers?
3. What are binary numbers?
How Many Apples?
Numbers tell us “How Much”
2
2 3 4
What’s the symbol for This many?I’ll give you 5 seconds then I’ll call
on someone
One symbol, or two?
“12” Is TWO symbols,
not one
12
One Two
12 And21
Use the same symbols.
What makes them different numbers is their locations, or
PLACES.
• We have ten symbols in our decimal numbers, and we use them to build all the others:
0, 1, 2, 3, 4, 5, 6, 7, 8, 9
Using the symbols 9, 2, and 6we can make twenty-four different numbers
926 629 296
962 692 269
This is not one symbol:
100
But I wonder if our brains don’t learn to think of it as one thing, as a noun,
maybe because of our language.
12
I don’t say “one group of ten and two ones.”
I just say “twelve.”
12
• Ten means this many ones:
• Hundred means Ten Groups of Ten in each group
• Thousand means Ten Groups of Ten groups of ten ones in each group
• Ten thousand means ten Groups of ten groups of ten groups of ten ones in each group
11, 0Ten Groups of
one in each group
11Ten Groups of
one-hundred in each group
Ten Groups of ten in each
group
Ten Groups of one-thousand in each group
Decimal Means
Grouping by TENS
BINARY Means
Grouping by TWO’S
Bi-cycle Bi-nary
• Two means two ones:
• Four mean Two Groups of Two in each group• Eight means Two Groups of Two groups of ten
ones in each group• Sixteen means two Groups of two groups of
two groups of two ones in each group
11, 0Two Groups of one in each
group
11Two Groups of four in each
group
Two Groups of two in each
group
Two Groups of eight in each
group
10
In Binary:
Get it?
we always use apples and oranges:
I thought:Why not Strawberries?
Why Fruit?Why not a Kiwi?
Quick Game
I’m going to ask you many kiwis you see.
You have 1 second
You can’t glance at this, you have to count
But this can be a pain
Easiest way to count is by forming GROUPS of equal size:
Easiest way to count is by forming GROUPS of equal size:
two groups of
ten
Three ones
So how many kiwis are there?
two groups of
ten
Three ones
In decimal there are 23
Kiwis
• I have to have ten symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9
• But computers can ‘think’ as well as this washing machine:
They only want two symbols:
0, 1
Up Down
Light Dark
Down Up
North South
East West
Sadness Happiness
Open Closed
Winter Summer
2 − 2
Black White
Yellow Blue
What does this mean?
Vocabulary
How do we measure water in a bucket?
NUMBERS
• More graphics on opening My Computer
Filled with something like water in a bucket,
Instead of water molecules in a bucket, we have things called ‘bits’
BITH2O
BIT BIT BIT BIT BIT BIT BIT BIT
8 Bits
=
1 Byte
I would like to see how much memory is on
my flash drive
If I open my flash drive:
7.20 Giga-bytes
7.20 Giga-bytes= 7.20billion (giga) × 8bits/byte
≈60 billion bits
But we’re only going to work
with 5 bits today
Volunteers
Each person is a bit
Transfer to Interwrite
BTW,What does
“ZERO” mean?
Practice with various numbers
What’s the largest number I can make with 5 bits?
What’s the smallest number?
Switch to colored cards
Get a Scribe
Sixteens Eights Fours Twos Ones
Rules for Addition: On the white board
1 + 1 = 10
1 + 1 + 1 = 11
Fractions?
Recommended