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 |