Transcript Notice: Please Feel Free to Call This Section of the Geometry

Joon’s Math File
STAY OUT!
Towers of Hanoi
Langton’s Ant
0.1 or the Fraction
1
10
0.2 or the Fraction
2
10
0.3 or the Fraction
3
10
0.3 or the Fraction
4
10
0.5 or the Fraction
5
10
0.6 or the Fraction
6
10
0.7 or the Fraction
7
10
0.8 or the Fraction
8
10
1 or the Fraction
10
10
112 = 121
1112 = 12321
11112 1234321
111112 = 123454321
1111112 = 12345654321
11111112 = 1234567654321
111111112 = 123456787654321
1111111112 = 12345678987654321
11111111112 = 1234567900987654321
Percentage
A percentage is a number over a hundred such
as 50% & 100%. This is a percentage sign. %.
The percentage sign is made up with three basic
numbers: two zeros & a slanted one. This is a
fraction for a percentage: 50/100. The best way to
remember percentages is to remember what
numbers make it up.
Mostly, people use percentages to see how well something
is going on or whatever.
LITER
milliliter
Tessellations: Hexagons
Scary Division
Problem one: You have 13 OLG
shortbreads to share fairly with your
friend TukTuk (the towel). How can
you divide the fairly?
You
TukTuk
Solution: 6 for you, and 6 for TukTuk,
for the remainder split into half and ½ to
you and ½ for TukTuk.
You
TukTuk
Toothpick trick
• You start out with 12 toothpicks into 3
boxes, then turn it into to a 5 square shape
moving 3 toothpicks only.
Miserable Toads
• A group of toads were planning to set a
record and build the biggest amphibian
pyramid in history.
How many days?
Problem:
Froggie fell into an ten foot
well. He climbs up 3 feet during
the day, and slips 2 feet down
during the night.
Well, that wasn’t
so scary.
Mixed-Up Problems
The ball is dropped from a 128 foot
building. Each time it bounces half
as much high as where it was
dropped. How much will the ball
bounce on the fourth bounce?
128 ft.
64 ft.
32 ft.
16 ft.
8
These are not polygons
Prime and Composite
Composite numbers are number s that can be made by using
a variety of numbers by multiplying.
Prime is a number that can only be made by multiplying
itself and one.
Length x Width x Height
4
x
3
x
1
0
=
1
4
4
10 cm
3 cm
4 cm
Base Numbers
Mixed Numbers
These are mixed numbers.
6
5
7
3
4
6
9
9
1
2
1
2
4
8
3
6
7
8
FIBONACCI NUMBERS
……………………………………….
0 1 1 2 3 5 8 13 21 34 55 89 144
233 379 612 991 1603 2594 4197
6791 10988 18071
……………………………………..
How to make Mixed Numbers
Example: You have two squares
with four mini-squares in each. One
of them is fully colored in. the other
has only one mini-square covered
up. That’s the Mixed number
1
1
4
The Math Glossary
Bar Graph
An bar graph is an
graph used to
compare against
other numbers.
9
8
7
6
5
4
3
2
1
Pie Graph
Century
Century = 100 years
100
Congruent
Congruent means that when
you fold something both
sides are the same. It also
means two shapes are the
same size and shape.
Decade
10 years
1 year
1 year
1 year
1 year
1 year
1 year
1 year
1 year
Dozen
Twelve of the same things.
Gross
144 of the same things
Baker’s Dozen
13 of the same things
Fortnight
14
days
Customary System
Units and Conversions of Length
• Inches (in.)
• Foot (ft.)- 12 inches
• Yard (yd.)- 36 inches, 3 feet
• Mile (mi.)- 5,280 feet, 1,760 yards
Example of
Units and
Conversions Conversions
of Weight
• Feet to
inches: 2 feet • Ounces (oz.)
equals 12
• Pound (lb.)inches.
16 ounces
This is an
customary,
or, Celsius
Thermomet
er. The red
This is a map of the is alcohol
world. The red area
that
is where the
increases
customary system its amount
is used. The gray is
the more
the metric system. hotter it is.
Stuff
The next scenes show someone
doing an algebra puzzle. You solve
the puzzle by figuring out which
shape is what number by dividing
the number on the corner with the
shape.
I highlighted the column I’m
working on.
18 divided by 3 is 6
I highlighted the row I’m working
on.
28-6=22÷2=11
I highlighted the row I’m working
on.
10-6=4÷2=2!
The End (That puzzle was
solved for real!)
Algebra
Algebra is a type
of math used to solve math that
doesn’t give the numbers.
Perimeter
14 as it’s
Perimeter!
Area of the auditorium
The Area: 145.52 square meters
+++++++++++++++++++++++++++
Line Graph
Joon's Gas Prices
$2.440
$2.420
$2.400
$2.380
$2.360
$2.340
$2.320
$2.300
$2.280
$2.260
$2.240
$2.220
11
5/
00
/2
9
12
5/
00
/2
9
13
5/
00
/2
9
14
5/
00
/2
9
15
5/
00
/2
9
ARCO
Mobil Gas
That means
that 2y+2y=4.
Meanwhile something
like 2y means 2.
Y can equal a bunch
of stuff.
Example: 4y +4y=8y
3
Pythagoras Theorem
90°
3²=9
4
4²=16
16+9=25√=
A²+B²=C²
676
That is how
you do it
52
13
What is 52x13???
re
ct
an
gl
e
sq
ua
re
he
xa
go
n
rh
om
bu
s
t
ra
iso
p
ez
sc
el
oi
es
d
eq
t
ria
ui
la
ng
te
le
ra
lt
r ia
ng
rig
le
ht
tri
an
gl
e
Joon's Shapes
6
5
4
3
2
1
0
Stuff
5x1=5
5x10=50
5x100=500
The Joon Shifter
There was once a point land where
everyone was happy about being a
point… except one point.
I hate being a
point!!!
There was once a point.
That turned into a ray.
That turned into a line.
That turned into an angle.
That turned into a triangle.
That turned into a square.
That turned into a parallelogram.
That turned into a polygon
That turned into a rhombus.
That turned into a rectangle.
That turned into a pentagon.
That turned into a hexagon.
That turned into a heptagon.
That turned into a octagon.
That turned into a nonagon.
That turned into a decagon.
That turned into a dodecagon.
That turned into a triskadecagon.
That tuned into a tetradecagon.
That turned into a pentadecagon.
That turned into a hexadecogan.
That turned into a heptadecogan.
That turned into a optadecogan.
That turned into a enneadecagon.
That turned into a icosagon.
That turned into a icosagon. And
then he exploded because he had
too many sides and angles.
And he was a point again.
The End
Money Fractions
25 cents = ¼ = 25/100
50 cents = ½ = 50/100
5 cents = 1/20 = 5/100
1 cent = 1/100
100 cents = 1 = 1/1
10 cents = 1/10 = 10/100
Average
How to do Average
Start with 3 numbers like 4, 5, 7
Then add them up.
4 + 5 +7 = 16
16 – 3 = 13
So 13 is your average.