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 |