Curriki

Up and Down Staircases

Website Address:https://www.curriki.org/oer/Up-and-Down-Staircases-141553
member-name
Learning RegistryLearning RegistryDistrict of Columbia, District of Columbia, US,
November 11, 2016
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Type:

Other

Description:

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.

Subjects:

  • 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

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

Language:

English

Access Privileges:

Public - Available to anyone

License Deed:

Creative Commons Attribution Non-Commercial Share Alike

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None
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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.
↓http://nrich.maths.org/2283

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