1.2Conditional Statements
Quick Answer
A conditional statement has the form "If p, then q." The hypothesis is p; the conclusion is q. A conditional is false only when the hypothesis is true and the conclusion is false.
Essential Question
What is the structure of a conditional statement, and when is a conditional considered false?
Learning Goals
- 1Identify the hypothesis and conclusion of a conditional statement.
- 2Write statements in if-then form.
- 3Determine the truth value of a conditional.
- 4Write the negation of a statement.
Key Vocabulary
Conditional statement
A statement in the form "If p, then q"; also written p → q.
Hypothesis
The "if" part (p) of a conditional statement.
Conclusion
The "then" part (q) of a conditional statement.
Negation
The opposite of a statement; if p is true, then ¬p is false.
Truth value
Whether a statement is true or false.
Full lesson content coming soon
Worked examples, guided practice problems, a workbook, quiz, and downloadable PDF resources will be added to this lesson in Phase 2. The learning goals and vocabulary above reflect the complete lesson scope.