This document outlines a course on Knowledge Representation (KR) on the Web. The course aims to expose students to challenges of applying traditional KR techniques to the scale and heterogeneity of data on the Web. Students will learn about representing Web data through formal knowledge graphs and ontologies, integrating and reasoning over distributed datasets, and how characteristics such as volume, variety and veracity impact KR approaches. The course involves lectures, literature reviews, and milestone projects where students publish papers on building semantic systems, modeling Web data, ontology matching, and reasoning over large knowledge graphs.