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Pascals Triangle
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on 8 October 2013Transcript of Pascals Triangle
PASCALS
TRIANGLE
What is pascals triangle?
Pascal 's Triangle is a triangle that consists of number patterns.
Pascals triangle has 1 around the sides
.
The triangle is constructed by adding the top two numbers to form the bottom number.
like this
what triangle
B
l
a
i
s
e
P
a
s
c
a
l
W
h
a
t
i
s
t
h
e
F
o
r
m
u
l
a
?
The formula for Pascal's triangle is:
Is a French mathematician, physicist, inventor, writer and Christian philosopher
Was considered a child prodigy
(
x+y
)
=
E
n
n
k=0
(
n
k
)
x

y
n
Lived for only 39 years
k
k
His mother died when he was 3
Born
June 19 1623
Died
August 19 1662
F
A
M
I
L
Y
Etienne Pascal
Antoinette Pascal
Blaise Pascal
Gilberte Pascal
Jacqueline Pascal
What Happens when you change the number on the outside?
Questions
Pascal
Asked
Himself
Issaac Newton was influenced by Blaise
"I would prefer an intelligent hell to a stupid paradise"
 Blaise Pascal
R
e
a
s
o
n
i
n
g
C
o
m
m
u
n
i
c
a
t
i
n
g
Another little formula is....
If you take the number 2 and square it by the number of the row you will get the total numbers of all the figures in that row added together.
For example
row no. 0
row no. 1
row no. 2
row no. 3
row no. 5
row no. 6
row no. 4
row no. 7
row no. 8
row no. 9
row no. 10
When you change the number on the outside the formula will work on the new numbers and therefore is possible with the theory Blaise Pascal came up with.
The other formula which is this one.....
This however will not work as, if the number on the outside is three 2 to the power of 3 ( which is the row no.) will always be equal to the total of the normal pascals triangle not the modified one.
Like........
H
a
n
d
s
o
n
A
c
t
i
v
i
t
y
H
o
w
t
o
p
l
a
y
:
The person/people who come 1st will get a
chocolate bar as a prize.
ENJOY! :)
1
1+1
1+2+1
1+3+3+1
1+4+6+4+1
How Blaise communicated to the world
Q:
How did Pascal's triangle become famous?
A:
Pascal's Triangle became famous when mathematicians started admitting Blaise Pascal to weekly meetings. Blaise then shared his idea of the Triangle with the other mathematicians and word started to spread. Therefore, Pascal's Triangle became famous and Blaise Pascal.
Q:
Did Blaise make any inventions before or after Pascal's Triangle?
A:
Yes he did. Before the invention of Pascal's Triangle, Blaise invented a calculator called the Pascaline. The Pascaline wasn't the type of calculator you have today, it was a numerical wheel calculator that had eight movable dials that added up to eight figured long sums. Blaise primarily invented it to help his father, a French tax collector count taxes.
How Pascal's Triangle is used in the modern world
Q:
What is Pascal's Triangle used for today?
How Pascal's Triangle is used in the modern world
A:
Pascal's Triangle is used as a study example for scholars in many levels. It is also used for primary school math exercises and advanced studies in its use of probabilities.
You will get a piece of paper. With a pencil'
you will have to draw the Pascal's Triangle.
Trying to complete as many rows as you can
Note:
You have only 1 minute to draw the triangle
You will be counting how many rows you have finished in the minute
If you have not completed a row, that does not count as a row
The first row does NOT count as a row
Om
Nom
Nom
Full transcriptTRIANGLE
What is pascals triangle?
Pascal 's Triangle is a triangle that consists of number patterns.
Pascals triangle has 1 around the sides
.
The triangle is constructed by adding the top two numbers to form the bottom number.
like this
what triangle
B
l
a
i
s
e
P
a
s
c
a
l
W
h
a
t
i
s
t
h
e
F
o
r
m
u
l
a
?
The formula for Pascal's triangle is:
Is a French mathematician, physicist, inventor, writer and Christian philosopher
Was considered a child prodigy
(
x+y
)
=
E
n
n
k=0
(
n
k
)
x

y
n
Lived for only 39 years
k
k
His mother died when he was 3
Born
June 19 1623
Died
August 19 1662
F
A
M
I
L
Y
Etienne Pascal
Antoinette Pascal
Blaise Pascal
Gilberte Pascal
Jacqueline Pascal
What Happens when you change the number on the outside?
Questions
Pascal
Asked
Himself
Issaac Newton was influenced by Blaise
"I would prefer an intelligent hell to a stupid paradise"
 Blaise Pascal
R
e
a
s
o
n
i
n
g
C
o
m
m
u
n
i
c
a
t
i
n
g
Another little formula is....
If you take the number 2 and square it by the number of the row you will get the total numbers of all the figures in that row added together.
For example
row no. 0
row no. 1
row no. 2
row no. 3
row no. 5
row no. 6
row no. 4
row no. 7
row no. 8
row no. 9
row no. 10
When you change the number on the outside the formula will work on the new numbers and therefore is possible with the theory Blaise Pascal came up with.
The other formula which is this one.....
This however will not work as, if the number on the outside is three 2 to the power of 3 ( which is the row no.) will always be equal to the total of the normal pascals triangle not the modified one.
Like........
H
a
n
d
s
o
n
A
c
t
i
v
i
t
y
H
o
w
t
o
p
l
a
y
:
The person/people who come 1st will get a
chocolate bar as a prize.
ENJOY! :)
1
1+1
1+2+1
1+3+3+1
1+4+6+4+1
How Blaise communicated to the world
Q:
How did Pascal's triangle become famous?
A:
Pascal's Triangle became famous when mathematicians started admitting Blaise Pascal to weekly meetings. Blaise then shared his idea of the Triangle with the other mathematicians and word started to spread. Therefore, Pascal's Triangle became famous and Blaise Pascal.
Q:
Did Blaise make any inventions before or after Pascal's Triangle?
A:
Yes he did. Before the invention of Pascal's Triangle, Blaise invented a calculator called the Pascaline. The Pascaline wasn't the type of calculator you have today, it was a numerical wheel calculator that had eight movable dials that added up to eight figured long sums. Blaise primarily invented it to help his father, a French tax collector count taxes.
How Pascal's Triangle is used in the modern world
Q:
What is Pascal's Triangle used for today?
How Pascal's Triangle is used in the modern world
A:
Pascal's Triangle is used as a study example for scholars in many levels. It is also used for primary school math exercises and advanced studies in its use of probabilities.
You will get a piece of paper. With a pencil'
you will have to draw the Pascal's Triangle.
Trying to complete as many rows as you can
Note:
You have only 1 minute to draw the triangle
You will be counting how many rows you have finished in the minute
If you have not completed a row, that does not count as a row
The first row does NOT count as a row
Om
Nom
Nom