Georgia standard · Mathematics

`AFM.AQR.5`Set Theory Applications

Use set theory to describe relationships and equivalence when solving contextual, mathematical problems used to explain real-life phenomena.

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Expectations

Use set theoretic operations.
- AFM.AQR.5.1
  Find the union, intersection, difference, complement, and Cartesian product of sets, and classify sets as equal, subsets, and power sets.
- AFM.AQR.5.2
  Justify whether the union of subsets of a set is a partition of that set.
- AFM.AQR.5.3
  Given a relation on two sets, determine whether the relation is a function and find its inverse relation, if it exists.
- AFM.AQR.5.4
  Determine the equivalence classes given an equivalence relation on a set; determine whether the union of equivalence classes of a set is a partition of that set.
- AFM.AQR.5.5
  Prove set relations, including DeMorgan’s Laws and equivalence relations.
Use and interpret Boolean algebra.
- AFM.AQR.5.6
  Prove statements in Boolean algebra.
- AFM.AQR.5.7
  Simplify Boolean algebra expressions using Karnaugh maps (K-maps).

No Georgia Milestones blueprint cites this standard.