G.RLT.1

The student will translate logic statements, identify conditional statements, and use and interpret Venn diagrams.

G.RLT.1.aTranslate propositional statements and compound statements into symbolic form, including negations (~𝑝, read “not 𝑝”), conjunctions (𝑝 ∧ 𝑞, read “𝑝 and 𝑞”), disjunctions (𝑝 ∨ 𝑞, read “𝑝 or 𝑞”), conditionals (𝑝 → 𝑞, read “if 𝑝 then 𝑞”), and biconditionals (𝑝 ↔ 𝑞, read “𝑝 if and only if 𝑞”), including statements representing geometric relationships.G.RLT.1.bIdentify and determine the validity of the converse, inverse, and contrapositive of a conditional statement, and recognize the connection between a biconditional statement and a true conditional statement with a true converse, including statements representing geometric relationships.G.RLT.1.cUse Venn diagrams to represent set relationships, including union, intersection, subset, and negation.G.RLT.1.dInterpret Venn diagrams, including those representing contextual situations.
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