A cell using an unallocated frequency band or a shared frequency band is efficiently controlled. A terminal device includes a reception unit configured to receive a first downlink physical channel mapped on the basis of a first possible starting position of a downlink transmission and a second downlink physical channel mapped on the basis of a second possible starting position of the downlink transmission. Upon the first possible starting position and the second possible starting position being indicated by a higher layer, the reception unit receives, in a predetermined subframe, either one of the first downlink physical channel or the second downlink physical channel, on a secondary cell having a frame structure type 3.