The population of students all over the world is growing without a proportionate increase in teaching/learning resources/infrastructure. There is also much quest for learning in an environment that provides equal opportunities to all learners. The need to provide an equal opportunity learning environment that will hitherto improve the system of education globally has therefore become imperative. Based on our findings, a mathematical model Web-based Virtual Classroom system (WebVCS) was developed to provide a viable medium through which sound education can be offered in tertiary institutions that can carter for varieties of learners irrespective of their abilities, dispositions and geographical locations. Our system model is developed based on active learning approach that adopts blended learning theory (Constructivist-Cognivist learning approach), incorporating e-pedagogy that supports collaboration among participants in the web-based Virtual learning environment. The key objects used in creating the WebVCS model are: Courses, Students, Instructors and Learning performances. Our system model sets a framework for developers of virtual classrooms and successful implementation of the model leads to students learning by interacting with their peers resulting in the construction of knowledge.