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Nuffield Foundation
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These resources have been reviewed and selected by STEM Learning’s team of education specialists for factual accuracy and relevance to teaching STEM subjects in UK schools.
Average Limits
In this Nuffield investigation students explore limiting values of an iterative process, using arithmetic, algebra or spreadsheets. Students can move from identifying patterns to forming, verifying and proving conjectures.
The key processes developed in this activity include:
*Representing - moving from generation of a few results to systematic exploration of the relationship between starting numbers and limit.
*Analysing - working systematically and controlling variables to identify patterns leading to generalisations.
*Interpreting and evaluating - exploring and verifying generalisations about the limit with a view to expressing patterns algebraically, justifying results and generalisations.
*Communicating and reflecting - explaining the approach taken, describing the outcomes and conclusions.
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Downloads
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Average limits (complete package) 651.25 KB
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Average limits (spreadsheet) 73.5 KB
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Student stimulus 67.67 KB
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Progression table 143.42 KB
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Student stimulus (word doc) 131.47 KB
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Teacher notes 1.83 MB
Show downloads
-
Average limits (complete package) 651.25 KB -
Average limits (spreadsheet) 73.5 KB -
Student stimulus 67.67 KB
-
Progression table 143.42 KB -
Student stimulus (word doc) 131.47 KB
-
Teacher notes 1.83 MB
Download all files as a .zip2.35 MB
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