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

11 2 = = = = = = = =

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

You TukTuk 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 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

10 cm 3 cm 4 cm 4x3x10=1444x3x10=144

Base Numbers

Mixed Numbers

3 1 2 These are mixed numbers

FIBONACCI NUMBERS

……………………………………… ……………………………………..

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

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

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 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 Thermomet er. 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: square meters

Line Graph

Y can equal a bunch of stuff. Meanwhile something like 2y means 2. That means that 2y+2y=4.

Example: 4y +4y=8y

° 3²=9 4²= =25√= A²+B²=C² Pythagoras Theorem

5213 What is 52x13??? 676 That is how you do it

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/ cents = ½ = 50/100 5 cents = 1/20 = 5/100 1 cent = 1/ 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.

= 16

16 – 3 = 13 So 13 is your average.