Lesson Plan: Approximating Radicals Mathematics • 8th Grade

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.


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.


Students should already be familiar with

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


Students will not cover

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

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