Baby MIND is a magnetized iron neutrino detector, planned to serve as a downstream magnetized muon spectrometer for the WAGASCI experiment, on the T2K neutrino beam line in Japan. Access restrictions in its intended location in Japan drove a completely new design of the magnetic modules, a departure from the traditional toroidal magnetized iron detectors such as CDHS and MINOS. The iron plates are magnetized individually by aluminum windings. This ensures low power consumption while reaching a uniform magnetic field of $1.5$ T. The particle tracking is made by staggered scintillator bars, read out through wave length-shifting fibers and MPPCs, providing an efficient and compact design. The design allows considerable modularity and is a key to the improvement of charge identification for momenta below $1$ GeV/c, not usually addressed by previous detectors of this type. The design of the detector will be described and preliminary results of its performance on the beam tests will be presented. Baby MIND will provide measurements of charge and momentum of muons from neutrino and anti-neutrino interactions in WAGASCI's water and scintillator cells, at $1.5 ^{\circ}$off axis angle to the T2K neutrino beam, where the energy of the neutrinos is slightly higher than that of T2K (with $2.5 ^{\circ}$off axis angle). This measurement improves our underestanding about the energy dependency of neutrino cross section in water, and reduces the uncertainties relevant to neutrino oscillations, especially CP-violation measurements.