The purpose of this research is to improve the mathematical representation ability and learning independence through the Realistic Mathematics Education (RME) approach in students of class XI IPS 1 SMA N 1 Pekalongan. This type of research is a classroom action research study subjects were students of class XI IPS 1 SMA N 1 Pekalongan consisting of 25 students. This can be seen from the students' mathematical representation ability in linear program material by increasing data analysis (N-Gain) from the pre-survey to the first cycle obtained an average pre-test of 59.2 and an average post-test of 64.8 so that gain 0.30 with a percentage of 30% in the low category. Furthermore, the first cycle to the second cycle obtained an average pre-test of 64.8 and an average post-test of 77.4 so that a gain of 0.53 with a percentage of 53% in the medium category. Independence of student learning from pre-survey to the first cycle with a percentage of 54.6% increased to 65.05% with a high category. Furthermore, from cycle, I to cycle II with a percentage of 65.05% increased to 82.9% with a very high category.Keywords:Mathematical Representation, Self-regulated Learning, RME