G.RLT.1: The student will translate logic statements, identify conditional statements, and use and interpret Venn diagrams.

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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