Classifying reactions

Chemists find it very useful to classify reactions that are similar in some way.  Any one reaction may be classified in a variety of ways. One way of classifying reactions is based on whether oxidation numbers of atoms in the products are different to those in the reactants.

In acid-base reactions there are no changes in oxidation number.
 
Proton transfer reactions are also acid-base reactions:
NH3(aq) + HCl(aq) NH4Cl(aq)
In both reactants and products, H is +1, Cl is -1 and N is -3.

Precipitation reactions are also acid-base reactions:
Ag+(aq) + Cl(aq) AgCl(s)
 
Proton-transfer and precipitation are other classification terms.

In redox reactions two oxidation number changes occur.
 

Redox reaction example: 
Cu2+(aq) + Fe(s) Cu(s) + Fe2+(aq)

One atom in a species (molecule, atom or ion) known as the oxidant accepts electrons.

The oxidation state of this atom is more negative in a reaction product (Cu2+ above).

One atom in a second species known as the reductant donates electrons.
The oxidation state of this atom is more positive in a reaction product (Fe above).
The oxidant and reductant are also known as the oxidizing agent and the reducing agent.

With few exceptions, reactions having an element as a reactant or product are redox.
 
This is because atoms in compounds generally have either negative or positive oxidation state, and elements always have an oxidation state of zero.