- 1. Types of Sets: Finite, Infinite, Empty, Universal, Equal, Equivalent, and Disjoint
Classify sets as finite, infinite, or empty, and distinguish between equal, equivalent, and disjoint sets.
- 2. Set-Builder (Rule) Notation
Decode mathematical rules that generate sets, translating complex set-builder expressions to roster notation.
- 3. Complement of a Set
Find the complement of a set using the roster elimination method, understand the Double Complement Law, and identify shaded regions on a Venn diagram.
- 4. Union and Intersection on 2-Set Venn Diagrams
Find the union and intersection of sets from roster lists, identify the 4 distinct regions of a 2-set Venn diagram, and calculate maximum/minimum possible overlaps.
- 5. Set Difference and De Morgan's Laws
Calculate the set difference from roster lists, identify the shaded regions on a Venn diagram, and master De Morgan's Laws to simplify set expressions.
- 6. Cardinality & The Counting Formula for 2-Set Word Problems
Master the set cardinality formula, translate word problems into algebraic equations using a Venn diagram, and accurately calculate the regions without double counting.
- 7. Reading and Naming Regions in 3-Set Venn Diagrams
Identify and name the 8 distinct regions of a 3-set Venn diagram, translate complex set notations into shaded regions, and apply the Dot Method.
