  LOFAR observations at 144 MHz have revealed large-scale radio sources in the
unrelaxed galaxy cluster Abell 1132. The cluster hosts diffuse radio emission
on scales of $\sim$650 kpc near the cluster center and a head-tail (HT) radio
galaxy, extending up to 1 Mpc, South of the cluster center. The central diffuse
radio emission is not seen in NVSS, FIRST, WENSS, nor in C & D array VLA
observations at 1.4 GHz, but is detected in our follow-up GMRT observations at
325 MHz. Using LOFAR and GMRT data, we determine the spectral index of the
central diffuse emission to be $\alpha=-1.75\pm0.19$ ($S\propto\nu^{\alpha}$).
We classify this emission as an ultra-steep spectrum radio halo and discuss the
possible implications for the physical origin of radio halos. The HT radio
galaxy shows narrow, collimated emission extending up to 1 Mpc and another 300
kpc of more diffuse, disturbed emission, giving a full projected linear size of
1.3 Mpc - classifying it as a giant radio galaxy (GRG) and making it the
longest HT found to date. The head of the GRG coincides with an elliptical
galaxy (SDSS J105851.01$+$564308.5) belonging to Abell 1132. In our LOFAR
image, there appears to be a connection between the radio halo and the GRG. The
turbulence that may have produced the halo may have also affected the tail of
the GRG. In turn, the GRG may have provided seed electrons for the radio halo.
