Free resources for teaching and assessment of key mathematical processes for 11-16 year olds

Average limits

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Average limits pupil stimulus

 

 

Average limits progression table
Average limits spreadsheet
Average limits teacher notes

Average limits ALL documents

Description:  Pupils choose two numbers X and Y and find their mean. Then they replace X with Y and replace Y with the mean. They find the mean of these two numbers and then, using an iterative process, investigate what happens.

It is intended that this investigation be done using a calculator or computer

Suitability: Pupils working at all levels;individuals or pairs 

Time: 1 hour upwards

Equipment: Calculator or computer spreadsheet for introduction and/or to work through examples as required

Key mathematical language: Mean, iterate, converge, limiting value, conjecture, decimal places, rounding, variables, algebraic expression