The difference between the strand in the Principles course and its counterpart in the Foundations course lies in the greater
degree of algebraic treatment required in the Principles course. Both strands involve concrete experiences upon which students build their understanding of the abstract treatment of quadratic relations. In the Foundations course, problem solving relates to the interpretation of graphs that are supplied to students or generated by them using technology. In the Principles
course, problem solving involves algebraic manipulation as well as the interpretation of supplied or technologically generated graphs, and students also learn the techniques involved in sketching and graphing quadratics effectively using pencil and paper.