Unit 7, Lesson 3# Existence and Uniqueness of Square and Cube Roots

EngageNY 45 min(s)

Students solve simple equations that require them to find the square root or cube root of a number. This lesson has two options for showing the existence and uniqueness of positive square roots and cube roots. The first option has students explore facts about numbers on a number line, leading to an understanding of the trichotomy law, followed by a discussion of how the law applies to squares of numbers, which should give students a better understanding of what square roots and cube roots are and how they are unique. The second option explores numbers and their squares via a Find the Rule exercise, followed by a discussion that explores how square roots and cube roots are unique.