A chemical mechanical polishing slurry and method for using the slurry for polishing copper, barrier material and dielectric material that includes a first and second slurry. The first slurry has a high removal rate on copper and a low removal rate on barrier material. The second slurry has a high removal rate on barrier material and a low removal rate on copper and dielectric material. The first and second slurries can include silica particles, an oxidizing agent, a corrosion inhibitor, and a cleaning agent.