In this lesson, students analyze the graphs of cube root and square root equations in geometric contexts. Students rearrange formulas to highlight a quantity of interest and explain the meaning of points on the graphs of equations.

As students relate the accuracy of volume calculations to a situation, they’re modeling with mathematics (MP4).

One of the activities in this lesson works best when each student has individual access to a device that can run the Desmos applet, because students will benefit from seeing the relationship in a dynamic way.