Lessons 13 Chocolate box

Lesson plan

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

'(n - 2)^2 gives you the inside, the milk, so n^2 - (n - 2)^2 gives you the plain chocolates'






‘when (n— 2) = 4(n — 1) then the graphs will cross — just under n = 7. Any n above that and there will be more milk chocolates’
3A
Early
Formal





Expressing relationship in terms of generalised number






‘the milk chocolates inside go up much faster than the plain on the outside’

‘| think the border ones will give a straight line graph’

‘the plain ones on the border go up in 4s'





(n — 2)2 goes up faster than 4n — 4: it’s squared’

'there's always only one layer thick for the plain but the inside ones get fatter and fatter'

'the slope is the same at every point for the plain'

2B*
Concrete
Generalisation
Mature
concrete
Episode 1
Exploring square arrays of dots
Episode 2
Tabulating the functions
Episode 3
Graphing and expressing

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

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