Education Technology

Power Patterns

Published on 06/09/2008

Activity Overview

Students investigate patterns that show relationships between powers and roots. They learn to identify strategies to be used to find important patterns in data.

Before the Activity

  • See the attached PDF file for detailed instructions for this activity
  • Print the transparency sheet and pages 60 - 64 from the attached Student PDF file for the class
  • During the Activity

    Distribute the pages to the class.

    Follow the activity procedures:

  • Calculate the square root of numbers 100, 200, ... 1,000, and record the values in the table
  • Determine the greatest number less than 1,000 that is a perfect square
  • Calculate the cube root of numbers 1,000, 2,000, ... 10,000, and record the values in the table
  • Determine the greatest number less than 10,000 that is a perfect cube
  • Write the fourth roots of the numbers 10,000, 20,000, .... 100,000 and record the values in the table
  • Write the seventh roots of the numbers 10,000,000, 20,000,000, .... 100,000,000 and record the values in the table
  • Determine the greatest perfect square and cube that can be displayed on the calculator without using scientific notation
  • Understand that if a < x < b, then a2 < x2 < b2, and √a < √x < √b
  • Solve the riddles on the Activity sheet
  • After the Activity

    Students complete the Activity pages and answer questions.

  • Review student results
  • As a class, discuss questions that appeared to be more challenging
  • Re-teach concepts as necessary