This exploratory problem provides students a way to consolidate their understanding of halving and halves and gives students experience of mathematical proof. The students are given multiple images of squares split in half. The goal is to prove how they are correctly halved and to think of other ways to split a square into two halves. The Teachers' Notes page offers rationale, suggestions for implementation along with a PowerPoint presentation, discussion questions, ideas for extension and support, and printable (pdf) worksheets of the problem.


  • Mathematics > General
  • Education > General

Education Levels:

  • Grade 1
  • Grade 2
  • Grade 3
  • Grade 4
  • Grade 5
  • Grade 6
  • Grade 7
  • Grade 8
  • Grade 9
  • Grade 10
  • Grade 11
  • Grade 12


Grade 2,Grade 3,Grade 1,Make use of structure,NSDL,Grade 4,Grade 5,Critical thinking,oai:nsdl.org:2200/20140728160933723T,Methods of proof,Quadrilaterals,Visual representation,Representation,Mathematics,Arithmetic,Analyze and persevere,Fractions,Process skills,Number and operations,Upper Elementary,Mathematical language,Logic and foundations,Informal Education,Concept formation,NSDL_SetSpec_ncs-NSDL-COLLECTION-000-003-112-027,Geometry,Reason abstractly,Practice Standards,Early Elementary,Elementary School,Reason quantitatively,Spatial sense,Communication,Congruence,General,Plane geometry,Engineering,Education,Reasoning



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