Fermi has revealed a new understanding of the gamma-ray sky by delivering more than an order of magnitude improvement in sensitivity compared to previous instruments operating in the high-energy (~100 MeV to ~100 GeV) regime. The Cherenkov Telescope Array (CTA) seeks to obtain similar advances in the ~30 GeV to ~100 TeV energy band by likewise achieving an order of magnitude improvement in sensitivity over currently operating instruments (VERITAS, MAGIC, HESS). CTA will shed new light on the high energy extension of the spectra of Fermi sources, building on the success of the Fermi mission and adding to the Fermi legacy. The plans for CTA are presented. The presentation focuses on how CTA will be able to address key science topics such as the indirect detection of dark matter, cosmic ray acceleration, and very high-energy gamma-ray production in blazar jets.