Lesson 19 Accuracy and errors

Lesson plan

Piagetian Level    
3 B
Mature
Formal
Expressing error in full proportional terms.
3A
Early
Formal
‘the error ratio depends on how far the rounded 7 figure is from the original'. The maximum error for 2 sig. figs is 0.05. in relation to a rounded total of 7 this gives a 5% error ratio, which diminishes fo 0.5% in relation to 10’
‘you've got to look at how big the error is compared with the total price’ ‘the error ratio seems to depend on how far the rounding differs from the total number’
2B*
Concrete
Generalisation
'compared with £129.04p is almost nothing’
Infinity of numbers by continuing to subdivide by factors of 10


‘error is the same: it's the same cheat!’
2B
Mature
concrete
Increasing accuracy by reading to hundredths
Middle
concrete
Episode 1
How many numbers does this measurement cover?

Episode 2
How big is the error?
Episode 3
Errors in rounding

License

Thinking Mathematics Lessons Copyright © by Michael Shayer and Mundher Adhami. All Rights Reserved.

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