These are the Basic that should be committed to memory:.

The 10 heavenly stem
Jia, Yi, Bing, Ding, Wu, Ji, Geng, Xin, Ren, Gui

The 12 earthly branch
Zi, Chou, Yin, Mao, Chen, Si, Wu, Wei, Shen, You, Xu,
Hai

The Animal Signs in the 12 earthly branches
Zi=Rat
Chou = Ox
Yin = Tiger
Mao = Rabbit
Chen = Dragon
Si = Snake
Wu = Horse
Wei = Goat
Shen = Monkey
You = Rooster
Xu = Dog
Hai = Pig

The HOUR in the 12 earthly branches
Zi=Rat = 2300 - 0100
Chou = Ox = 0100 - 0300
Yin = Tiger = 0300 - 0500
Mao = Rabbit = 0500 - 0700
Chen = Dragon = 0700 - 0900
Si = Snake = 0900- 1100
Wu = Horse = 1100 - 1300
Wei = Goat = 1300 - 1500
Shen = Monkey = 1500 - 1700
You = Rooster = 1700 - 1900
Xu = Dog = 1900 - 2100
Hai = Pig = 2100 - 2300

The 5 elements of the 10 heavenly stem
Jia, Yi are wood
Bing, Ding are fire
Wu, Ji are earth
Geng, Xin are metal
Ren, Gui are water

The 5 elements of the 12 earthly branch
Yin, Mao are wood
Si, Wu are fire
Shen, You are metal
Hai, Zi are water
Chen, Xu, Chou, Wei are earth

The Generating Cycle of the 5 elements
Metal -> Water -> Wood -> Fire -> Earth

The Controlling Cycle of the 5 elements
Metal controls Wood
Wood controls Earth
Earth controls Water
Water controls Fire
Fire controls Metal

The 5 Combinations of the 10 heavenly stem
Jia + Ji = earth
yi + Geng = metal
Bing + Xin = water
Ding + Ren = wood
Wu + Gui = fire

The 4 Clashes of the 10 heavenly stem
Jia <-> Geng
Yi <-> Xin
Bing <-> Ren
Ding <-> Gui

The Compatible Systems (a.k.a the 3 Musketeers)
Shen + Zi + Chen combine to form a Water Frame
Hai + Mao + Wei combine to form a Wood Frame
Yin + Wu + Xu combine to form a Fire Frame
Si + You + Chou combine to form a Metal Frame
Chen + Xu + Chou + Wei combine to form a Earth Frame

The 4 Directions of the 12 Earthly Branch
Yin + Mao + Chen = Eastern Wood
Si + Wu + Wei = Southern Fire
Shen + You + Xu = Western Metal
Hai + Zi + Chou = Northern Water

The 6 Combinations of the Earthly Branch
Zi + Chou transforms to Earth
Yin + Hai transforms to Wood
Mao + Xu transform to Fire
Chen +You transform to Metal
Si + Shen transform to Water
Wu + Wei ransform to Fire

The 6 Clashes of the 12 earthly branch
Zi <-> Wu
Chou <-> Wei
Yin <-> Shen
Mao <-> You
Chen <-> Xu
Si <-> Hai

The 6 Harms of the 12 Earthly Branch
Zi <-> Wei
Chou <-> Wu
Yin <-> Si
mao <-> Chen
Hai <-> Shen
Xu <-> You

The 6 Breaks
Zi <-> You
Yin <-> Hai
Chen <-> Chou
Wu <-> Mao
Shen <-> Si
Xu <-> Wei

The Luo Pan position
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The 8 Gua
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North - Water
North East - Earth
East - Wood
South East - Wood
South - Fire
South West - Earth
West - Metal
North West - Metal

Ren, Zi, Gui (KAN Gua) - N [Water]
Chou, Gen, Yi (GEN Gua) - NE [Earth]
Jia, Mao, Yi (ZHEN Gua) - E [Wood]
Chen, Xun, Si (Xun Gua) - SE [Wood]
Bing, Wu, Ding (LI Gua) - S [Fire]
Wei, Kun, Shen (KUN Gua) - SW [Earth]
Geng, You, Xin (DUI Gua) - W [Metal]
Xu, Qian, Hai (QIAN Gua) - NW [Metal]