Lesson 10 Rectangle functions
Lesson plan
Piagetian Level | Learners Thinking and abstract of the activity | ||
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3 B Mature Formal |
![]() 'the area one is y = 1/x - a hyperbola - it never gets to zero' |
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'for perimeter you can't have W = 0 What is the meaning of that?' |
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3A Early Formal |
Reading a graph in relational terms 'the graph is a curve, probably symmetrical' 'L x W = A is the formula, so L = A/W' or 'W = A/L' 'the width doesn't drop off as fast when length gets larger' 'if you double the length the width is halved' 'the width never gets to zero' |
Expressing a relationship in terms of generalised number '2 x L + 2 x W = P is the formula, so L = P/2-W ' |
'the perimeter one has to be a straight line because it is like y = constant - x' |
2B* Concrete Generalisation |
![]() 'it's a straight line' |
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mature concrete | Episode 1 Area as a function |
Episode 2 Perimeter as a function |
Episode 3 Area and perimeter problems |