Lesson Plan: Analyzing Conditional Statements
This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to analyze a given statement to identify its negation, conjunctions, and disjunctions; write compound statements and determine their truth values; analyze a given conditional statement to identify hypothesis and conclusion to write it in if-then form; write the converse, inverse, and contrapositive of a given conditional statement; or rewrite a given statement as a biconditional statement and determine its truth value.
Objectives
Students will be able to
- analyze a given statement to identify its negation, conjunctions, and disjunctions,
- write compound statements and determine their truth values,
- analyze a given conditional statement to identify hypothesis and conclusion to write it in if-then form,
- write the converse, inverse, and contrapositive of a given conditional statement and determine whether they are true or false,
- rewrite a given statement as a biconditional statement and determine its truth value.
Prerequisites
Students should already be familiar with
- finding a counterexample to disprove a conjecture.
Exclusions
Students will not cover
- the laws of deductive reasoning (law of detachment or law of syllogism).