1. Equations

3. 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.

4. BBC – Beautiful Equations
35:27 – 36:57

5. If a = 7
find the value of
4a – 12
Find the value of
b if
4b – 15 = 21

7. 3p + 6 = 18
3p + 10 = 22
4p + 6 = 18 + p
3p = 12
p + 2 = 6
3p – 2 = 10

8. 8m – 12 = 4m + 20
4m – 6 =
5m – 12 =
8m =
= m + 5
3m + 4 =

9. 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

10. 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?

11. Mathematical Equations Which Changed the World
Nicaragua

12. His Theorem
Pythagoras

13. Law of the Lever
Archimedes

14. Law of Logarithms
Napier

15. Law of Gravity
Newton

16. Electricity and Magnetism
Maxwell’s Equation

17. Law of Thermodynamics
Boltzmann

18. Law of Accelerating Rockets
Tsiolkovski

19. E=mc2
Einstein

20. Wavelength of Particle of Matter
De Broglie

21. Counting on Fingers ?

24. An Equation is like a balance scale
An Equation is like a balance scale. Everything must be equal on both sides. = 10
6 + 4

25. When the amounts are equal on both sides it is a true equation.= 12
6 + 6

26. When the amounts are unequal on both sides it is a false equation.= 8
3 + 5

27. When an amount is unknown on one side of the equation it is an open equation.= 7
n + 2

28. When you find a number for n you change the open equation to a true equation. You solve the equation. = 7 5
n + 2

29. 4g + 30 = 70
3g – 12 = 30

31. k + 7 = 12
k + 7 = 3(k + 2) – 2k + 1
k + 7 = 3(k + 2) – 2k + 4

32. BBC – Beautiful Equations
7:06 – 8:05