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