Florida B.E.S.T. MA.912.LT.5.1
The Standard
Given two sets, determine whether the two sets are equivalent and whether one set is a subset of another. Given one set, determine its power set.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students compare sets by the number of distinct elements and check whether every element of one appears in another. They also list every possible subset, including the empty set and the original set.
What Mastery Looks Like
- A student can compare sets by size without requiring matching elements. They can justify a subset claim by checking every element and list all subsets of a small set once.
Common Misconceptions
- Students often confuse equivalent sets with equal sets. They may reverse the subset symbol or forget that the empty set and the set itself belong in every power set. They may also list repeated subsets in different orders.
How to Assess It
- Give students A = {1, 2}, B = {a, b}, and C = {1, 2, 3}. Ask which sets are equivalent, whether A is a subset of C, and for the power set of A.
Lesson moves
Ways to Teach It
Give groups labeled element cards and set hoops, then have them build equivalent sets, subsets, and every subset of a three-element set.
Ask students to explain why {1, 2} and {a, b} are equivalent but not equal.
Play Power Set Race, where pairs list all subsets of a drawn three-element set and check for missing or repeated entries.
Use pizza topping choices to model a power set, including no toppings and all available toppings.
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Related Standards
- MA.912.LT.5.3
Partition a set into disjoint subsets and determine an equivalence class given the equivalence relation on a set.
- MA.912.LT.4.5
Determine whether two propositions are logically equivalent.
- MA.912.LT.5.4
Perform the set operations of taking the complement of a set and the union, intersection, difference and product of two sets.
- MA.912.LT.5.2
Given a relation on two sets, determine whether the relation is a function, determine the inverse of the relation if it exists and identify if the relation is b...
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