Lesson 17 Sets and subsets

# Lesson plan

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

Representation in terms of Boolean algebra
Representation of solution in terms of Boolean algebra
3A
Early
Formal

Realising why the sum of the separate sets is greater than the number of the total set

Understanding and applying concept of included set as applied to multiples

Subtracts the three binary intersections from the sum of A, B, C, to give the total set, then sees something needs to be done about the ternary intersection
By placing the square 6 in the ternary intersection, finds criteria that place members in every domain of the diagram
2B*
Concrete
Generalisation
Naming in words the subsets, complements

By abstraction finds criteria which would fill all binary intersections.

Constructing empirically the inter-related sets of multiples of 2, 3 and 5.
2B
Mature
concrete
Middle
concrete
Episode 1
Two overlapping sets
Episode 2
Included and excluded sets
Episode 3
Three sets