Transcript Jason

Jason’s Math
Jason Pae
Area
Area
The area of the auditorium.
This is the carpet/rug.
Formula
13.6m
x 10.7m
145.52.
The area is
145.52
13.6m
10.7m
Perimeter
Perimeter: The length around the
edge of a shape
This rectangle has an area of 2 by
5. It’s perimeter is 14 square blocks
This is a percentage. A percentage is a
number over 100. The slanted line in
% is a one and the two circles next to
the slanted line. So % stands for 100.
100
%
These are tessellations.
tessellations are a pattern that
doesn’t overlap.
These are examples of
tessellations.
But these are not tessellations.
Math Problems
The ball is dropped from a 128
feet building. Each time it
bounces it bounces half-way up
than the last time. How far will
the ball bounce up when it
bounces on the fourth time?
Here is the answer.
128 ft.
64
32
16
8
Frog Problem: A frog fell into a 10foot well. He has to climb out
because he cannot hop out. Every
day, he climbs 3 feet and every
night, he slides back 2 feet. At this
rate, how many days will it take
poor Froggie to climb out?
Day 2
Day 1
Day 3
10
9
8
7
6
5
4
3
2
1
0
Factors
Factors are numbers divisible
by a number.
Ex. The factors of 27 are 9,3 and
1,27.
Ex. The factors of 21 are 7,3 and
1,21.
Prime and Composite Numbers
Prime numbers are numbers that
are only divisible by the number
itself and 1.
These
2,
3,
5,
7,
11,
13,
17,
19,
23,
26
are also
and so on.
prime
numbers:
Factors : 2,1 and 3,1 and 5,1 and 7,1 and
11,1 and 13,1 17,1 19, 23, 26
and so on.
Composite numbers are the
opposite.
Like 10, 20, 30, 27, 12,
15, and so on.
How many blocks are in this
picture?
There are 3,151 blocks on this
picture.
Algebra Puzzle Solution
There are three of the same thing
so divide 9 into 3 and that gives
you 3!
There are 2 flowers and 1 clock.
The flowers equal 3 so 11 minus 6
= 5. So the clock equals 5!
There are 2 flowers and 1 drum.
The flowers equal 3 so 16 minus 6
equals 10. The drum equals 10!
Tada!
Patterns of 11
•
•
•
•
•
•
•
•
•
112 = 121
1112 = 12321
11112 = 1234321
111112 = 123454321
1111112 = 12345654321
11111112 = 1234567654321
111111112 = 123456787654321
1111111112 = 12345678987654321
11111111112 = 1234567900987654321
The riders of the jungle cat’s
solution.
Glossary of Math
Dozen
• 12 things of the same kind.
Gross
• 12 boxes/packages of 12. (144)
Baker’s Dozen
• 13 things of the same kind.
Fortnight
• 14 days.
Score
• 20 things of the same kind.
Millennium
• 1,000 years.
Bar Graph
• Bar graph is a graph that uses bars to
present numbers.
11
10
9
8
7
6
5
4
3
2
1
Fred
Tom
George
Century
• A century is another way to express a
hundred years
A 100 years
= a century!
A century is the same
as a hundred years!
Congruent
• Two things that are same (Ex. Same size,
same shape).
like
and
Reviewing Congruency
Congruency is when two or more
things are the same size and
shape.
examples:
and
and
Combining Like Terms
First let’s start with an example.
Example: 12z +17z = ?
To find the answer just add 12 and
17.
It is like this:12 soccer balls + 17
soccer balls = 29 soccer balls.
Real Algebra
Let’s start with this algebra
problem!
One number is ten times another. Their
sum is 55. Find the numbers.
First do
this.
1. Y + 10Y = 55
Pythagoras’s Theorem
Right
triangle
3
A2 + B2 = C2
4
Mixed Numbers!
• Mixed numbers are numbers that have
both whole numbers and fractions. Here is
an example.
Answer: 3
2
4
The Shifter
Jason Pae
Once there was a point.
.
But the point got tired of being a point,
so the point turned into a line.
But the line got tired of being a line,
so the line turned into a ray.
But the line got tired of being a line so
the line turned into an angle.
But the angle got tired of being an
angle, so the angle turned into an
equilateral triangle.
But the equilateral triangle got tired of
being an equilateral triangle, so the
equilateral triangle turned into an
isosceles triangle.
But the isosceles triangle got tired of
being an isosceles triangle, so the
isosceles triangle turned into a square.
But then, the square was tired of being
a square, so the square turned into a
rectangle.
But the rectangle got tired of being a
rectangle, so the rectangle turned into
a trapezoid.
But soon, the trapezoid got tired of
being a trapezoid so the trapezoid
turned into a pentagon.
But the pentagon got tired of being
a pentagon so the pentagon turned
into a hexagon.
But the hexagon got tired of being
a hexagon so the hexagon turned
into a heptagon.
But the heptagon got tired of being a
heptagon so the heptagon turned into
an octagon.
But the octagon got tired of being an
octagon so he went back to being a
point.
.
The Scary Toothpick Illusion
First you start out with twelve
toothpicks and three boxes.
Then you…
In Latin, E Pluribus Unum means
Out of many, one.
1
1 penny =
100
1
1 nickel =
20