What is a rev-matched downshift?
When downshifting, the engine must be rotating faster in the lower gear than it was in the higher gear. However, during a downshift, normally you declutch and lift your foot from the throttle, so the revs drop rather than increase. In rev-matched downshift, you blip the throttle before re-engaging the clutch so that the engine will already be up to the new speed. This results in a much smoother and faster downshift.