Mash the banana in a bowl with a fork until it's mostly smooth.
Add the baking powder and the flour.
Add the milk and the egg, then stir until there's no dry flour left. A few lumps are okay.
Heat a nonstick pan over medium heat and add a little oil.
Drop small spoonfuls of batter into the pan to make mini pancakes.
Cook until bubbles form on top and the edges look set, about 2 minutes. Flip and cook about 1 more minute, until golden.
Let them cool a few minutes, then cut into pieces or strips that work for your little one.