joon’s math file stay out!. towers of hanoi langton’s ant

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 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 = 25/10050 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.