Lesson 14 Tents

Lesson plan

Piagetian Level Learners Thinking and abstract of the activity  
3A
Early
Formal






Higher level realisation: 'if Pi can NEVER be calculated exactly, it must be a different kind of number'.
Reflect simple shapes in a mirror-line 'so with the hexagon the perimeter is exactly 3 times the radius but the circle must be a little more'
2B*
Concrete
Generalisation



'it looks as though the circumference of all half circles is just over 3 times the radius'
'the height is the radius or half the base'
2B
Mature
concrete
'B and F look right'

'a half circle is widest at the bottom so not E'
'mine is three and a bit'

'it can't be D because it's lopsided'
Middle
concrete
Episode 1
Shapes for tents
Episode 2
Radius to semicircle ratio
Episode 3
Circle as limiting case

License

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

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