Algorithmic systems shape every aspect of our daily lives and impact our perceptions of the world. The ubiquity and profound impact of algorithms mean that algorithm literacy--awareness and knowledge of algorithm use, and the ability to evaluate algorithms critically and exercise agency when engaging with algorithmic systems--is a vital competence for navigating life in the 21st century. Professional digital competence (PDC) frameworks for teachers include technological, pedagogical, and social competence areas and are intended to illustrate the necessary knowledge, skills, and attitudes for digitally competent teachers. Using document analysis, we undertook a systematised review and evaluation of selected PDC frameworks through the lens of algorithm literacy. This analysis demonstrated that although some aspects of algorithm literacy could be inferred within the PDC frameworks analysed, there is a need for further explicit integration. Just as the DigComp framework for citizens has been updated to recognise the vital importance of understanding algorithmic systems' impact, so should PDC frameworks be revised. Recommendations are provided for incorporating understandings of algorithmic governance and bias and ensuring digital Bildung development in PDC frameworks. Implications for teacher education programmes are also discussed.