Florida B.E.S.T. MA.912.LT.4.2
The Standard
Determine truth values of simple and compound statements using truth tables.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students assign truth values to statements joined by not, and, or, conditional, and biconditional operators. They organize all possible input combinations and evaluate the compound statement row by row.
What Mastery Looks Like
- Students list every possible combination of truth values without missing or repeating a row. They correctly evaluate each operation, use intermediate columns, and identify when the full statement is true or false.
Common Misconceptions
- Students often treat “or” as exclusive, even though logical or usually includes both statements being true. They may also reverse conditionals, miss the scope of a negation, or forget that a conditional is false only when the hypothesis is true and the conclusion is false.
How to Assess It
- Give the expression ¬p ∨ (p → q). Ask students to complete its truth table and circle every row where the expression is false.
Lesson moves
Ways to Teach It
Give pairs T and F cards, then have students build every input combination and evaluate p ∧ ¬q.
Ask students to explain why “If p, then q” is true when p is false, using one example.
Run a truth-table relay where each student completes one row, passes the table, and checks the previous row.
Translate a school rule, such as “You may leave if work is complete,” into symbols and test it against four student scenarios.
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Printable MA.912.LT.4.2 Worksheet
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Related Standards
- MA.5.AR.2.3
Determine and explain whether an equation involving any of the four operations is true or false.
- MA.2.AR.2.1
Determine and explain whether equations involving addition and subtraction are true or false.
- MA.912.LT.4.3
Identify and accurately interpret “if…then,” “if and only if,” “all” and “not” statements. Find the converse, inverse and contrapositive of a statement.
- MA.1.AR.2.2
Determine and explain if equations involving addition or subtraction are true or false.
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