1)Savoir and connaître both mean to know.
You use savoir when you know a fact or something by heart.
For example:
Je sais à quelle heure la séance commence
-I know what time the session begins.
Je sais le numéro de télèphone de philippe
-I know Philippe’s phone number.
2)To say how you know how to do something, you use savoir + infinitive.
For example:
Tu sais danser le tango
-Do you know how to tango?
Il ne sait pas nager
-he doesn’t know how to swim.
3) You use connaître when you know something in the personal sense, only with nouns.
For example:
je connais bien Nathalie
-I know Nathalie well
Je connais bien mon école
-I know my school well