Digital media and connected technologies have brought about some new ethical challenges to the surface. Digital media ethics is the scientific and systematic study of ethical attitudes and problems in relation to the use of digital media. This paper discusses the role of digital media ethics in modern school education. First, it is argued that digital media ethics is best perceived as a dimension of digital competence more generally. Since the development of students' digital competence is one of the central ambitions in modern school education, there is good reason to teach digital media ethics in school. Then, the authors go on to argue that there are at least three potential benefits from teaching digital media ethics: (i) students will increase their digital competence; (ii) students will develop their ability to use digital and connected technologies such as mobile phones for learning; and (iii) students will be helped in living a good life. Finally, the authors offer some reflections on challenges that might arise when digital media ethics is integrated in school education.