Dalaigh’s Polka is a great tune at beginner level as it teaches you the technique of cross picking between the E and A strings using up and down strokes.

first part

• |  E A   B A  |  E A   B A  |  E A   B A  |  G A   B D  |
• |  E A   B A  |  E A   B A  |  B E   D B  |  A –    A-  :||

second part

• |  E D   E F#  |   G’ A’  G’ F# |  E D   E F#  |  A’   G’ F# |
• |  E D   E F#  |   G’ A’  G’ E   |  D B   G’ B    |  A –  A-   :||