Lesson 8 Ladders and slides
Lesson plan
| Piagetian Level | Learners Thinking and abstract of the activity | ||
|---|---|---|---|
| 3 B Mature Formal |
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 Use of proportional reasoning 'we found that each slide had a constant ratio between height and length so the distances along the ground will give us how much higher the cathedral is than our stick' |
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| 3A Early Formal |
Ratio as a relationship between numbers. | ||
| 'multiply A by 3/2' 'each A is two-thirds of C' 'multiply A by 3 then halve it' |
'Junior to Infant is 5 to 3 so you multiply by 5 and divide by 3' 'the Junior is 5/6ths as high as the Senior' 'for every 5 the Junior goes up the Senior goes up 6' |
'I think if you made a scale diagram like our slides you could measure it' | |
| 2B* Concrete Generalisation |
'halve A and add it to itself' Additive strategy for multiplicative relationship  |
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| 'divide B by 2 to get C: multiply C by 2 to get B' 'B goes up in 6's; C goes up in 3's' 'each C is half the B' |
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| Mid concrete |
Episode 1 Multiple relationships |
Episode 2 Playground slides |
Episode 3 Height of cathedral |