A timely challenge in current physics education is to develop educational tracks aimed at introducing advanced high school students to the main concepts of quantum theory. While standard tracks are historical in nature, going from Planck’s hypothesis to the Schrödinger equation, several points of this history tend to be left out. However, the richness of the history of quantum physics makes much more material available, part of which could potentially be adopted to enhance students’ understanding of basic quantum physics. In this respect, the pivotal work by Einstein stands out, because of its clarity and readability, also for modern readers, and especially because many of the characteristic features of quantum physics can in fact be traced to some paper by him on the quantum theory of radiation. This is the case of light quanta (introduced in 1905, and then applied to the photoelectric effect), wave-particle duality for light (1909) and probability (1916). These concepts were all introduced using clear and compelling statistical arguments, which however are not part of usual high school curricula. We were led to think that high school students can be fruitfully be exposed to the above material, and therefore we developed a didactic track, which introduces some characteristic concepts of quantum physics in a way that follows Einsteins’ original arguments. This can be done in a way that requires nothing more than elementary integral calculus and statistics, plus elements of classical physics which are part of the standard curriculum of advanced high school students. Such a track can then usefully complement the usual historically oriented curricula, while giving the students a grasp of subtle quantum concepts, which can also help them when they come to more advanced topics such as matter waves, the Schrödinger equation and Born’s rule.