Lesson 10 Rectangle functions

Lesson plan

Piagetian Level Learners Thinking and abstract of the activity  
3 B
Mature
Formal






'the area one is y = 1/x - a hyperbola - it never gets to zero'
'for perimeter you can't have W = 0
What is the meaning of that?'
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'
mature concrete Episode 1
Area as a function

Episode 2
Perimeter as a function
Episode 3
Area and perimeter problems

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

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