Lesson 20 Heads and tails

Lesson plan

Piagetian Level    
3 B
Mature
Formal
Able to read the data in proportional terms so as to relate the test to the theory



Able to see that entering the data in a different order would be a good way of testing the sampling hypothesis






‘each time you throw the coin there is just a 50% chance of a head, so only half of the runs of two would go on to a run of three"
3A
Early
Formal
Able to see that the experiment is testing the mode! of variation of the mean with sample size
‘very roughly, they are halving for each extra head’
Realising that it may be that as the sample size increases the relative variation decreases
‘it does get closer and closer to 50%, but then it goes away again’

‘they're getting less, but you can still get a run of 5!'
2B*
Concrete
Generalisation

Calculations of %s of 10s and 50s
Spinning coins in samples of 10
Mature
concrete
Episode 1
Samples and proportions
Episode 2
Cumulative class table and chart
Episode 3
Comparing runs of heads

License

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

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