Learning goals: Teacher Facing Determine the whole numbers that a cube root lies between, and explain (orally) the reasoning. Generalize a process for approximating the value of a cube root, and justify (orally and in writing) that if $x^3=a$, then $x=\sqrt[3]{a}$. Full lesson plan (warm-up, activities, synthesis, cool-down prompt) from 8.8 Pythagorean Theorem and Irrational Numbers, Grade 8.