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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
S4-4
New NZC (2026)
NZC26-P4-PRO-ETP-P-Y9-02
Resources
- Dr Austin Maths - Set Notation and Venn Diagrams Practice GridQuestions PDF · Answers
- Dr Austin Maths - Venn Diagrams with Algebra Practice GridQuestions PDF · Answers
- Dr Austin Maths - Sets and Venns Revision Practice GridQuestions PDF · Answers
Terminology
- Set, {}
- Element, ∈
- Not an element of, ∉
- Universal set, Ω or ξ
- Empty set, ∅
- Subset, ⊂
- Union, ∪
- Intersection, ∩
- Complement, A'
- Cardinality, n(A)
Task goals
- Test set membership using in/not-in notation and write a set using roster notation {}.
- Translate a shaded Venn diagram region into its set notation expression, and a set notation expression into the region it shades, for intersection, set difference, symmetric difference, and the complement of an intersection.
- State n(A), n(A union B), n(A intersect B), and n(A') directly from a Venn diagram, and calculate a complement or union cardinality using the inclusion-exclusion formula.
- Use subset notation (A subset B) and justify a subset relationship using the elements of each set.
- Extend set notation to a three-set Venn diagram, including n(A intersect B intersect C) and the "exactly two of the three" region.
- Critique a common cardinality error (adding n(A) and n(B) without subtracting the overlap) using notation.
Where this fits
What leads into this objective, and where it goes next.
Before
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Set notation
Also under S4-4:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.