Intermath | Workshop Support
Lesson Plan Number Three
 

Title:

Perfect Square

TOPIC:  
Find a rational perfect square (e.g., 225/16 - the square of 15/4) which remains a rational perfect square when increased or decreased by 6.

GRADE LEVELS:
Sixth and seventh grade

Introduction/Practice/Exploration
We were presented with the Topic problem.  At first the lesson seemed impossible as we were only considering integers.  When we realized we could use all rational numbers, we used Microsoft Excel to make a spreadsheet.  With this realization we quickly came to the conclusion that only one solution was applicable to this problem.  We did not explore any other theories after discussion with Dr. Gootman we felt this problem was basically flawed. 

Lesson Type (lab, demo, worksheet, hands-on, other)
Lab 

Estimated time
approximately one class period

Resources & Materials
Microsoft excel

NCTM Process Standards
   
Standard 6:
          1. understand and appreciate the need for numbers beyond the whole numbers
         2.  extend their understanding of whole number operations to fractions, decimals, integers, and rational numbers


Author & Contact
preigle@athensacademy.org

Link(s) to lesson plan and other materials
Link to Perfect Square Spreadsheet