Logic and Truth TablesBIG IDEA: REASONING AND PROOF

ESSENTIAL UNDERSTANDING:• To use logic and truth tables to determine

truth values of compound statements.MATHEMATICAL PRACTICE:

Reason abstractly and quantitatively

Compound Statement

Compound Statement: a statement formed by __________________ two or more statements

Conjunction: a compound statement formed by connecting two or more statements with the word ____________. It is true only when both s and j are true. It is false when at least one of its parts is false.

Disjunction: a compound statement formed by connecting two or more statements with the word ____________. It is false only when both s and j are false. It is true when at least one of its parts is true.

Activity 1 Use the statements below to construct the following

compound statements.• s: We will go to the beach.• j: We will go out to dinner.• t: We will go to the movies

1. 2.

3. 4.

Activity 2 Use the statement below to determine the truth value of the

compound statement• x: Emperor penguins are black and white• y: Polar bears are a threatened species• z: Penguins wear tuxedos

1. 2.

3. 4.

Truth Table A truth table shows all the possible truth values for a

conditional statement and its related statements.

Example

p: Ohio is a stateq: There are 50

states

p: Georgia is a stateq: Miami is a state

p: q:

p: q: Dolphins are big

fish

Activity 3 Fill in the blanks. Each column builds toward the final

statement

T T T F T

T T F T T

T F T F F

T F F T T

F T T F

F T F F

F F F

Activity 4 Make a truth table for the statement

Activity 4 Cont Make a truth table for the statement