joon’s math file stay out!. towers of hanoi langton’s ant
TRANSCRIPT
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 Fraction4
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 Fraction8
10
1 or the Fraction10
10
112 = 1211112 = 1232111112 1234321111112 = 1234543211111112 = 1234565432111111112 = 1234567654321111111112 = 1234567876543211111111112 = 1234567898765432111111111112 = 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?
YouTukTuk
YouTukTuk
Solution: 6 for you, and 6 for TukTuk, for the remainder split into half and ½ to
you and ½ for 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 ft.
These are not polygons
Prime and Composite
Composite numbers are number s that can be made by usinga variety of numbers by multiplying.
Prime is a number that can only be made by multiplying itself and one.
Length x Width x Height
10 cm
3 cm
4 cm
4 x 3 x 10 = 144
Base Numbers
Mixed Numbers
3 12
These are mixed numbers.
6 57
9 78
4 69 8 3
6
1 24
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 14
The Math Glossary
Bar Graph
An bar graph is an graph used to
compare against other numbers.
7
6
5
4
3
2
1
98
Pie Graph
CenturyCentury = 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
DozenTwelve of the same things.
Gross144 of the same things
Baker’s Dozen13 of the same things
Fortnight14
days
Customary System
This is a map of the world. The red area
is where the customary system
is used. The gray is the metric 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 Conversions
• Feet to inches: 2 feet equals 12 inches.
Units and Conversions of Weight
• Ounces (oz.)• Pound (lb.)- 16 ounces This is an
customary, or, Celsius Thermometer. The red is alcohol
that increases its amount the more
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
$2.220$2.240$2.260$2.280$2.300$2.320$2.340$2.360$2.380$2.400$2.420$2.440
5/11
/200
9
5/12
/200
9
5/13
/200
9
5/14
/200
9
5/15
/200
9 ARCO
Mobil Gas
Y can equal a bunch of stuff.
Meanwhile something like 2y means 2.
That means that 2y+2y=4.
Example: 4y +4y=8y
53
4
90°
3²=9
4²=16
16+9=25√=
A²+B²=C²
Pythagoras Theorem
52 13
What is 52x13???
676
That is how you do it
Joon's Shapes
0123456
Stuff
5x1=55x10=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 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 = 25/10050 cents = ½ = 50/1005 cents = 1/20 = 5/100
1 cent = 1/100100 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 = 13So 13 is your average.