In this lesson, students reason abstractly and quantitatively from the meaning of cube and cube root to solve equations of the form and , where can be positive or negative (MP2). Students use the graph of to find that all numbers have exactly one cube root.

Note that all roots and solutions are real in this lesson.

One activity is optional because it is extra practice with solving cube root equations that not all classes may need. 

Some of the activities in this lesson work best when each student has access to a device that can run the applet because it allows them to find solutions with better precision (MP6).