Direct detection experiments set strong constraints on scattering between dark matter (DM) and nuclei, but rapidly lose sensitivity when the DM mass falls below ~10 GeV. Such light DM traveling at typical halo velocities doesn't carry enough momentum to trigger traditional detectors, so new techniques or low-threshold detectors are needed for low-mass searches. However, for these small masses, a nonzero DM-nucleon cross section implies the existence of a high-energy sub-population of DM. Energetic Standard Model particles, such as cosmic rays or the particles in supernova ejecta, would upscatter DM to much higher energy, enhancing experimental sensitivity to low-mass particles. In this talk, I will start by discussing limits we set on cosmic ray-upscattered DM, including a careful treatment of attenuation and the resulting diurnal modulation of strongly-interacting DM. Then I will detail ongoing work on DM upscattering in supernova shocks, and show how this effect can be used to constrain velocity-dependent DM-nucleus scattering.