Perfect Square

Book: Perfect Square

Author: Michael Hall

Age: Preschool and School Age

Description: A perfect square gets cut and ripped and crumpled and discovers the wonders of transformation.


  • Flexibility
  • Ideation
  • Social Skills
  • Prediction based upon salient clues
  • Question Formulation
  • Verbal Description
Why I like this book: Great for discussion about flexibility and salience.  A great follow-up to our Not a Box activities.
Ideas for use: 
  • While reading this book, talk about the salient features that make up the new design.  Did it help to draw something to make it more obvious?  Why?
  • After reading the book, give kids their own paper (origami paper is best). Have them cut it, rip it, crumple it, or poke holes in it.  Encourage different shapes and sizes.  What can they turn it into? If struggling to come up with ideas, have them talk about the shapes they made.  What do those shapes remind them of?
  • In a group?  Have kids rip or cut the square and then pass the pieces to a friend.  Once everyone is done with their transformation, have them try to guess what each other created.  Remember, adding a few salient clues is a critical part of the exercise.
  • Great for modeling question formulation to gain further clues  (i.e. Is it a thing or a place?  What do you do with it?)
  • Great for verbal description (e.g., “first it was a box with four sides, now it is a garden with lots of orange flowers and long, thin stems. )
Submitted by: Karen S Head M.S. CCC-SLP

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