Questions & Answers about Я смотрю на карту.
In Russian, the verb смотреть in the sense to look at something almost always uses the preposition на with the accusative: смотреть на + accusative.
- смотреть на карту = to look at the map
- смотреть на меня = to look at me
К usually shows movement towards someone/something (e.g. идти к дому – to go towards the house), and в is used more for being inside or going into something (e.g. смотреть в окно – to look into the window).
So with look at X, Russian prefers смотреть на X, not к X or в X (with exceptions like смотреть в зеркало, but на карту is the normal one).