Florida B.E.S.T. MA.912.LT.4.4
The Standard
Represent logic operations, such as AND, OR, NOT, NOR, and XOR, using logical symbolism to solve problems.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students translate everyday statements into symbolic expressions for conjunction, disjunction, negation, NOR, and exclusive OR. They evaluate those expressions from given truth values and determine which conditions satisfy a problem.
What Mastery Looks Like
- Students correctly translate verbal conditions into symbols and evaluate them for given truth values. They distinguish inclusive OR, XOR, and NOR, even in expressions that include NOT or parentheses.
Common Misconceptions
- Students often treat OR as exclusive, even though logical OR usually allows both statements to be true. They may negate only one word instead of the whole statement. They also confuse NOR with XOR.
How to Assess It
- Exit ticket: Let P mean “the card is red” and Q mean “the card is a face card.” Write “P or Q, but not both” in symbols, then evaluate it for the queen of hearts.
Lesson moves
Ways to Teach It
Give pairs two switches and a lamp diagram, then have them model when the lamp turns on under AND, OR, XOR, and NOR rules.
Discuss whether “soup or salad” means the same thing in a restaurant and in logic, then have students justify their answer with symbols.
Play Logic Match by having students pair verbal condition cards with symbolic expression cards and check each match using truth values.
Model a phone search filter with conditions for unread, starred, or archived messages, then write and test the matching logical expression.
Free download
Printable MA.912.LT.4.4 Worksheet
A ready-to-print activity worksheet aligned to MA.912.LT.4.4, with an answer key for the teacher on its own page. No account needed.
PDF, US Letter, prints cleanly in black and white.
Download the worksheetKeep exploring
Related Standards
- MA.912.F.3.3
Solve mathematical and real-world problems involving functions that have been combined using arithmetic operations.
- MA.912.LT.4.1
Translate propositional statements into logical arguments using propositional variables and logical connectives.
- 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.912.LT.4.9
Construct logical arguments using laws of detachment, syllogism, tautology, contradiction and Euler Diagrams.
Turn this exact standard into a lesson
Grade, subject, topic, and the complete standard are prefilled. Create one free, no account needed.