Way of the Frost opens a monk to the elements around them and how to use these elements to their advantage. From the freezing peaks that this tradition was born from, the cold will aid you in more ways then one as you may swap the damage type of your unarmed strikes for cold or piercing. 

Frostbite fist

Whenever you land a strike with flurry of blows you may impose one of these effects once per turn:

-- Frozen solid, Target's movement speed is dropped to 0 and is paralyzed until the end of your next turn

-- Freezing mind, Target has disadvantage on all attacks, and all attacks against Target are at advantage until the end of your next turn

Glacier core

Master of your own body has let you drop your core temperature far below what normal people could survive rendering cold damage ineffective against you.

Icy Step

You freeze the ground you walk on and so difficult terrain cannot slow you, nor can moving terrain. Spend a bonus action to make the ground you transverse this turn into difficult terrain for others.

Iceberg power

You gain the ability to swap your damage type to necrotic or radiant, as well as applying different damage types to different strikes within a single turn. 

Chilling Aura

You gain icy aura, the 10-ft radius all creature movement through this aura is reduced by half and is difficult terrain. This aura can be concentrated on to extend its reach up to 30 ft and can affect creatures through anything except total  cover via solid object

Icy Grasp

After grappling a creature, Target has disadvantage on strength checks to escape the grapple, and is dealt 1d6 necrotic damage for every round they are held in the grapple.

Glassy shell

You gain a crystal like ice coating, you are unable to be frightened, charmed, or confused. As well as, spending 4 ki points, reflecting spells that would impose a saving throw on you back at the caster. You may extend this freezing chill to objects and fallen creatures stopping spoilage and decay.