Lesson 1a Algebra: Exploring area on a grid
Lesson plan
| Piagetian Level | Learners Thinking and abstract of the activity | ||
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| 3 B Mature Formal |
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| 3A Early Formal |
Expression in terms of generalised number | '... so you can say that it's 2 x b x b + a x a' |
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| 'that one's a 2 by 3 paralellogram and a side-2 triangle so it's 12 plus 4' | |||
| 2B* Concrete Generalisation |
‘If it's 20 triangles then you halve it to make 10. It could be base = 2 and side = 5.’   |
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| Generalised summary without algebra | ' 'side 2, area is 4; side 3, area is 9 |
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| 2B Mature concrete |
'if it's 1 row there are twice the number of triangles on the base'  |
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| 'if the base is 1 the area is 2; if the base is 2 the area is 4' | 'the 3 base has 6 triangles' | ||
| Middle concrete |
Episode 1 Focus on parallelogram |
Episode 2 Focus on triangle |
Episode 3 Focus on trapezium |