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
If a = 7 find the value of 4a – 12 Find the value of b if 4b – 15 = 21
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 =
Lambrecht's Orchards Number of days 1 2 3 4 5 6 x Number of G-D trees 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 1 2 3 4 5 6 x Number of G-D trees 120 135 150 165
He also decided to plant 5 Granny Smith (G-S) apple trees every day thereafter as shown in the table below: Number of days 1 2 3 4 5 6 x Number of G-S trees 460 465 470 475 Number of days 1 2 3 4 5 6 x Number of G-D trees 120 135 150 165 On what day will the number of apple trees in the two orchards be the same?
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 ?
An Equation is like a balance scale 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 5 n + 2
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