How dense cores and filaments in molecular clouds form is a central issue in star formation. TRAO 14m telescope equipped with a new multi-beam receiver array, TRAO-SEQUOIA, allowed us to challenge this issue with its capability of high speed mapping in the supreme sensitivity. With this new system we have performed a systematic mapping survey over ~11 square degrees of nine nearby molecular clouds in various environments for four years with high (N2H+, HCN1-0, CS 2-1, SO JN=32-21, and NH2D 111s-101a, H13CO+ 1-0 lines) and low (C18O 13CO 1-0) density tracers under one of the Key Science Programs of TRAO, TRAO Survey of Nearby Filamentary Molecular Clouds, the Universal Nursery of Stars (TRAO FUNS: P.I. C.W.Lee) to dynamically and chemically understand how filaments, dense cores, and stars form under different environments. In this poster we will present a summary of our main results for the TRAO-FUNS project.