This problem provides students the opportunity to explore fractions in a practical context as well as identify and explain patterns and justify their ideas. Solvers are shown a sequence of five squares shaded light blue and dark blue and are asked to find what fraction of the total area of each square is covered by light blue. They are also asked to work out what the next two squares would look like if they followed the pattern. The Teachers' Notes page offers rationale, suggestions for implementation, discussion questions, and ideas for extension and support.


  • Mathematics > General
  • Education > General

Education Levels:

  • Grade 1
  • Grade 2
  • Grade 3
  • Grade 4
  • Grade 5
  • Grade 6
  • Grade 7
  • Grade 8
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  • Grade 12


Grade 3,Make use of structure,NSDL,Grade 4,Area,Critical thinking,Quadrilaterals,Express regularity,Representation,Mathematics,Arithmetic,Analyze and persevere,Fractions,Connections,Number and operations,Visual representation,Mathematical language,Grade 5,Patterns and sequences,Area of polygons,Informal Education,Concept formation,Problem solving,NSDL_SetSpec_ncs-NSDL-COLLECTION-000-003-112-027,Geometry,Reason abstractly,Practice Standards,Geometric patterns,Elementary School,Number patterns,Strategies,oai:nsdl.org:2200/20140728160805987T,Upper Elementary,Communication,Plane geometry,Engineering,Critique reasoning,Measurement,Process skills,Education,Construct arguments,Reasoning



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