Question

how does the metallic character change when we move A)down the group B)across the period

Answer 1

Metallic Character increases in Group and Decreases in Period.

Answer 2

heya your answer is here:'-

Across a period the atomic size decreases from left to right so the force of attraction between the nucleus and electron increases.hence the elements across a period cannot lose electrons easily.
          So,metallic character decreases across a period.
Down in a group the atomic size increases so the force of attraction between the nucleus and valence electrons decreases and hence elements can lose electrons easily
        So metallic character increases in a group.