Lesson 8 Ladders and slides
|Piagetian Level||Learners Thinking and abstract of the activity|
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'
|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'|
|'halve A and add it to itself'
Additive strategy for multiplicative relationship
|'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'
Height of cathedral