As I wrote - that just means you should use H+ and H2O to balance half reactions.
Looking at oxidation numbers it should be obvious to you iodine gets oxidized - that means H2O2 gets reduced. If it gets reduced, half reaction must consume electrons:
H2O2 + e- -> .
This needs some guessing now. Reaction posted by Nobby consumes electrons, but it produces OH-, so it doesn't fit. However, it is rather easy to guess how to use water and H+ to balance.
Note that any reaction that produces OH- can be easily converted to one that doesn't contain OH- and consumes H+ - it is enough to add H+ on both sides of the equation.