Provided are methods of adding adapters to nucleic acids. The methods include combining in a reaction mixture a template nucleic acid, a template switch oligonucleotide, a polymerase, and dNTPs. The reaction mixture components are combined under conditions sufficient to produce a product nucleic acid that includes the template nucleic acid and the template switch oligonucleotide each hybridized to adjacent regions of a single product nucleic acid including a region polymerized from the dNTPs by the polymerase. The methods further include attaching sequencing platform adapter constructs to ends of the product nucleic acid or a derivative thereof. Aspects of the invention further include compositions and kits.