The objective of this research is to investigate the cycles proposal, into the context of practice, regarding the heterogeneity that refered to the performance of the students. As theoretical references, Ball and Bowe (the policy cycle approach) were used and also national authors, who have researched the cycles` school in Brazil, such as Sá Barreto, Gomes, and Mainardes, among others. We investigated the day life of a school in the city of Casimiro de Abreu, State of Rio de Janeiro, considered a reference school. The analysis was based on the observation of a teacher in class, interviews and documents. The researched practice showed possibilities of effective attending to the heterogeneity of the students in the cycles` school. Data revealed the importance of planning different activities, grouping students based on different levels, using didactic strategies with emphasis in art and music, using diagnostic evaluation and pedagogical support.