You did not ask specifically for which type of element you want to know reactivity
I am going to tell you reactivity for metal as well as non metal
Metal element
Period - reactivity decreases as you go from left to right across a period.
Group - reactivity increases as you go down a group
Non-metal element
Period - reactivity increases as you go from the left to the right across a period.
Group - reactivity decreases as you go down the group.