This problem gives children an opportunity to explore patterns in a practical context and to generalize the results with a rule. Students investigate how many blocks would be needed to build an up-and-down staircase with any number of steps up. An interactivity in the hints shows the blocks transformed into a square pattern. The Teachers' Notes page offers suggestions for implementation, key discussion questions, ideas for extension and support.
Keywords:Visualization,NSDL,Grade 4,Grade 3,Addition,Express regularity,Strategies,Number concepts,oai:nsdl.org:2200/20140728160634043T,Social Sciences,Arithmetic,Analyze and persevere,Concept formation,Connections,Number and operations,Inductive reasoning,Algebra,Grade 5,Multiplication,Patterns and sequences,Visual representation,Transformations,Informal Education,Whole numbers,NSDL_SetSpec_ncs-NSDL-COLLECTION-000-003-112-027,Geometry,Reason abstractly,Practice Standards,Square numbers,Elementary School,Number patterns,Reason quantitatively,Algebraic thinking,Operations,Mental calculation,Education,Sequences and series,Upper Elementary,Communication,Mathematical language,Mathematics,Plane geometry,Problem solving,Process skills,Counting,Reasoning,Representation