SPECIFIC OBJECTIVES

The student will be able to:

• Determine and write the number of subsets in a set
• Identify the properties of operations on sets.

CONTENT

• Finding the number of subsets in a set with n elements
• Properties of Set Operations– Commutativity
• Associativity
• Distributivity

TEACHING AND LEARNING ACTIVITIES

Review with students description of sets;
– words/set builder notation
– listing.
– Venn diagrams.

Guide students to deduce the number of subsets in a set with „n‟ elements. i.e. the number of subsets = 2n

Guide students to determine the commutative property of sets involving given sets A and B i.e. A ∩ B = B ∩ A ; A U B = B U A

Guide students to determine the associative property of sets involving three given sets A, B and C, i.e. (A U B) U C = A U (B U C) and (A ∩ B) ∩ C = A ∩ (B ∩ C)

Guide students to determine the distributive property of sets involving three given sets A, B and C, i.e. A U (B ∩C) = (A U B) ∩ (A U C) A ∩ (B U C) = (A ∩ B) U (A ∩ C)

Illustrate the properties with Venn diagrams.