Learning goals: Teacher Facing Comprehend the term “cube root of $a$” (in spoken language) and the notation $\sqrt[3]{a}$ (in written language) to mean the side length of a cube whose volume is $a$ cubic units. Coordinate representations of a cube root, including cube root notation, decimal representation, the side length of a cube of given volume, and a point on the number line. Full lesson plan (warm-up, activities, synthesis, cool-down prompt) from 8.8 Pythagorean Theorem and Irrational Numbers, Grade 8.