This document discusses various methods for estimating the state of charge (SOC) of lithium-ion batteries used in electric vehicles. It first provides background on the importance of accurately estimating SOC and challenges in doing so. It then reviews different modeling approaches (physical models, data-driven models, equivalent circuit models) and filtering techniques like the Kalman filter and extended Kalman filter (EKF) that are often used with equivalent circuit models. Several research papers applying the EKF to SOC estimation are summarized. The document concludes the EKF is the best method for its ability to handle noise and provide accurate SOC estimation with low complexity.