Taxonomy child block

I'm trying to make a block that lists immediate taxonomy children when someone visits taxonomy/term/1 For example:
*
*
*
*
Colours
-Blue
--Navy
--Sky
--Baby
-Red

If term 1 was Colours, the output would be
Blue
Red
If term 1 was Blue, the output would be
Navy
Sky
Baby
with each term linking to the taxonomy page appropriately.
This seemed a pretty easy project, but in Views 3 the taxonomy View type is missing. Any help would be appreciated.