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That we know of yet: Nested | Math Printable

Nested squares enrichment printable where students repeatedly subtract adjacent corner numbers, then explore repeated operations up to tetration, order of operations, nested radicals and continued fractions.
Grades
Grades 4–6, Elementary, Middle School
File type
PDF
Preparation
Print ready

Updated Oct 13, 2026

Topic
math printable, math worksheet
Resource types
Worksheets & Printables, Worksheets
Preparation
Print ready

About this resource

What's inside this resource

This math worksheet fits into the That we know of yet series for Nested Squares.

This printable is all about turning ‘repetitive’ experience into mathematical knowledge.

In the classroom

Teaching tips & learning objectives

Learning objectives

  • Compute repeated differences to complete a nested squares diagram
  • Extend a nested radical pattern
  • Apply order of operations to a multistep expression

Teaching tips

  • A calculator is needed, and Excel or Python can optionally be used to check results.

Skills covered

  • Recognizing patterns — continuing the emerging nested radical sequence

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Resource details

Concepts & topics

Core concepts

  • Nested squares
  • Hyperoperations
  • Order of operations
  • Nested radicals
  • Continued fractions

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