In the DP Mathematics: Applications and Interpretation (AI) course, DP2 students have been diving into nonlinear modelling, with a focus on sine and cosine graphs. 

After learning about the key characteristics of these functions, students were challenged to take their understanding further through an “artsy mathematics” investigation. The activity asked them to explore how transformations—such as changes in amplitude, frequency, phase shift, and vertical shift—affect the shape and behavior of sine and cosine graphs. 

With colored pens, creativity, and precision, students graphed and compared multiple transformations. The exercise helped them become more familiar with the curves’ shapes, key points, and periods, while also encouraging analytical thinking about how different coefficients transform the graphs.