nucleophilic addition
Nucleophilic addition is the signature reaction of aldehydes and ketones, and the single most important reaction of this whole field. In one move, a carbon-oxygen double bond (C=O) becomes a carbon-oxygen single bond, and two new groups stick onto what used to be the flat carbonyl: a nucleophile lands on the carbon and something (often a hydrogen) ends up on the oxygen.
Here is the mechanism in plain steps. The carbonyl carbon is electron-poor (delta-plus), so an electron-rich nucleophile (Nu) attacks it. As the new C-Nu bond forms, one pair of electrons from the C=O double bond is pushed up onto the oxygen, which becomes negatively charged (an alkoxide). The carbon, once flat and trigonal, is now four-bonded and tetrahedral; this is the tetrahedral intermediate. Finally the negatively charged oxygen picks up a proton (from acid or from water) to become a neutral hydroxyl (O-H). Net result: Nu and H have added across the C=O double bond.
Almost every named reaction in this chapter is a variation on this one theme: only the nucleophile changes. Water gives hydrates, alcohols give hemiacetals and acetals, amines give imines, cyanide gives cyanohydrins, hydride (H-) gives alcohols, and carbon nucleophiles like Grignard reagents build new carbon-carbon bonds. Many of these additions are reversible equilibria, while others (like hydride or Grignard) effectively go to completion.
When cyanide (CN-) adds to acetaldehyde, CN- attacks the carbonyl carbon, the oxygen becomes an alkoxide, and after protonation you get CH3-CH(OH)-CN, a cyanohydrin: a textbook nucleophilic addition.
Attack at carbon, electrons to oxygen, then protonation: the universal three-beat rhythm.
Contrast this with alkene addition (electrophilic addition): there the pi bond is electron-rich and an electrophile attacks first. With a carbonyl the carbon is electron-poor, so a nucleophile attacks first. Same word 'addition', opposite first step.