This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to approximate the square or cube root of a number and then use it to solve real-world problems.

#### Objectives

Students will be able to

• identify two consecutive integers that a given radical number lies between,
• approximate radicals to the nearest integer,
• approximate radicals to one or two decimal places,
• draw the exact value of square roots on a number line using a compass,
• approximate radical expressions to the nearest integer or to one decimal place,
• find an approximate value for the solution of one-step equations by taking the square or cube root of a number,
• use the approximation of radicals to solve real-world problems.

#### Prerequisites

Students should already be familiar with

• square and cube roots of perfect squares and cubes,
• two-step equations.

#### Exclusions

Students will not cover

• real numbers as a set,
• comparing multiple real numbers and ordering them.