Download Equations Slideshow File

Equations
Paul Dirac
I think it’s a peculiarity
of myself that I like to
play about with
equations, just looking
for beautiful
mathematical relations
which maybe don’t
have any physical
meaning at all.
Sometimes they do.
BBC – Beautiful Equations
35:27 – 36:57
Mathematical Equations
Which Changed the World
Nicaragua - 1971
His Theorem
Pythagoras
Law of the Lever
Archimedes
Law of Logarithms
Napier
Law of Gravity
Newton
Electricity and Magnetism
Maxwell’s Equation
Law of Thermodynamics
Boltzmann
Law of Accelerating Rockets
Tsiolkovski
E=mc2
Einstein
Wavelength of Particle of Matter
De Broglie
Counting on Fingers
?
Farmer Lambrecht initially planted 120 Golden Delicious apple trees in
one of his orchards and 460 Granny Smith apple trees in another
orchard.
He then decided to plant 15 Golden Delicious (G-D) apple trees every day
thereafter as shown in the table below:
Number of days
Number of G-D
trees
0
1
2
3
120 135 150 165
4
5
6
x
He also decided to plant 5 Granny Smith (G-S)
apple trees every day thereafter as shown in the
table below:
Number of days 0
1
2
3
Number of G-S
460 465 470 475
trees
Number of days
0
1
2
3
4
4
5
5
6
6
Number of G-D
120 135 150 165
trees
On what day will the number of apple trees in the
two orchards be the same?
x
x
If a = 7
find the value of
4a – 12
Find the value of
a if
4a – 12 = 28
An Equation is like a balance
scale. Everything must be
equal on both sides.
=
10
6+4
When the amounts are equal
on both sides it is a true
equation.
=
12
6+6
When the amounts are unequal
on both sides it is a false
equation.
=
8
3+5
When an amount is unknown
on one side of the equation it is
an open equation.
=
7
n+2
When you find a number for n
you change the open equation
to a true equation. You solve
the equation.
=
7
5n + 2
3p + 6 = 18
3p + 10 = 22
4p + 6 = 18 + p
3p = 12
p+2=6
3p – 2 = 10
8m – 12 = 4m + 20
4m – 6 =
5m – 12 =
8m =
=m+5
3m + 4 =
4g + 30 = 70
3g – 12 = 30
k + 7 = 12
k + 7 = 3(k + 2) – 2k + 1
k + 7 = 3(k + 2) – 2k + 4
BBC – Beautiful Equations
7:06 – 8:05