I have been having such a great time playing around with the Dynamic Graphs on Prizm that I wanted to share how to do this for those of you who haven’t yet explored this feature. You can actually do Dynamic Graphs on all our graphing calculators, but the added feature of color with the Prizm makes it even more powerful.
Why Dynamic Graphs? As a Sketchpad enthusiast, I always tried to use dynamic sketches to help my students visualize mathematics, from geometric shapes to graphs. Dynamic mathematics allows students to make conjectures and quickly test them out and see how changing parameters (lengths, angle measures, coefficients in equations, etc.) impacts the shape/function. It allows for a deeper understanding of mathematics and provides a visual, which is very powerful. Having that capability on a graphing calculator, which is a technology tool that a majority of high school students have access to (as opposed to computers/tablets where Sketchpad might be available), allows more students to work with dynamic mathematics. The Dynamic Graphs feature on Casio graphing calculators provides that ability, and the Prizm allows for the added color feature, which makes things like comparing dynamic graphs to their parent function easy to do, providing visuals to make deeper connections.
Here is a video I made using the parent sin function and using both the modify graph feature and the Dynamic Graph feature to explore how the coefficients in the standard form Asin(Bx +C) effect the graph, allowing students to visually see how these coefficients change the amplitude, period and phase shift of the sin function.