Nomenclature

A wave is a phenomenon in which a physical quantity varies periodically in time and space

Property Definition Diagram / Formula Notes
Frequency The number of oscillations completed by one bit of the medium in one second f = 1/T

T = 1/f

As the frequency increases
the pitch of sound becomes squeakier the colour of light becomes more blue
Period The time it takes one bit of the medium to complete one oscillation    
Wavelength The distance between two successive crests, troughs or any other corresponding bits of the medium   As the wavelength  increases
the pitch of sound becomes lower the colour of light becomes more red
Amplitude Half the 'height' of the wave: i.e. the maximum change in the value of the varying quantity away from its normal no-wave value.   As the amplitude  increases
the volume of sound becomes louder the intensity of light becomes brighter
Speed The speed of a crest through the medium. v = f l The medium itself only oscillates. It does not move from A to B. Only the pattern does that, along with the energy that the wave is transporting.
Transverse When the oscillations are perpendicular to the direction in which the wave is travelling - i.e. side-to-side or up-and-down oscillations.   e.g. Light, sea, ripple tank, rope
Longitudinal When the oscillations are backwards and forwards along to the direction in which the wave is travelling.   e.g. Sound (I can't think of any other examples)