Мы радуемся снегу и катаемся на санках по крутому склону.

Questions & Answers about Мы радуемся снегу и катаемся на санках по крутому склону.

Why is катаемся used here instead of катимся?
Катаемся is the multidirectional verb of motion, which is used for activities done for pleasure, back and forth, or in no single specific direction. Sledding on a hill involves going down, climbing back up, and repeating. If we were currently making a single, one-way trip down the slope, we would use the unidirectional verb катимся.
Wait, the lesson is about катать, but here it's кататься. How does adding -ся change the meaning?
The verb катать is transitive and means to roll something or give someone a ride (like pushing a child in a sled). Adding the reflexive particle -ся literally means you are rolling or conveying yourself. In practice, кататься на plus a vehicle (like санках, велосипеде, or лыжах) is the standard way to say you are riding it for fun.
Why is снегу in the dative case rather than using a preposition like о for "about"?
The verb радоваться (to be glad or happy) directly dictates the dative case for the thing you are happy about. Russian doesn't use a preposition here, so "happy about the snow" simply translates to радуемся снегу.
Why do we use по + dative (по крутому склону) instead of на + prepositional for "on the steep slope"?
When talking about active movement along or across a surface, Russian typically uses по + dative. While English says you are sledding "on" the slope, Russian pictures the movement travelling along the area of the slope. If you used на крутом склоне, it would sound more like the slope is merely the static location where the event is taking place.

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