Description
This logic guided lesson introduces students to conditional, converse, inverse, contrapositive, and biconditional statements. With a focus on conditional logical equivalence, students learn how to identify and transform statements using symbolic notation, truth tables, and a conditional logic chart for visual support.
The lesson clearly breaks down each type of transformation—inverse logic statements, converse logic, contrapositive law, and their relationships. Students explore converse vs inverse logic through scaffolded examples and are guided step-by-step in analyzing conditional logic AND/OR operations to strengthen reasoning skills.
Designed for clarity and mastery, this resource also includes conditional logic drills to reinforce understanding and build fluency with conditional logic math in a structured and engaging way.
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YOU MIGHT BE INTERESTED IN:
✫ Lesson 1: Negation, Conjunction, Disjunction
✫ Lesson 3: Law of Detachment & Law of Disjunctive Inference
✫ Lesson 4: Law of Syllogism, Law of Conjunction, Law of Contrapositive
✫ Lesson 6: Tautology & Contradiction
✫ Entire Unit Bundle - 20% Off!
RELATED PROOFS SERIES:
✫ Proofs Bundle | Triangle Congruence Lessons (SSS, SAS, ASA, AAS, HL + CPCTC)
✫ Proofs | Proving Parallelograms using Triangle Congruence Postulates
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INCLUDED:
✅ Guided Lesson: Built-in reference material with definitions, rules, and symbols introducing
- Conditional logic
- Converse, inverse, contrapositive
- Biconditional statements
- Truth tables and logical equivalence
✅ Homework Assignment with symbolic logic practice and multiple choice questions
Practice converting between conditional, converse, inverse, and contrapositive. Multiple choice questions on logical equivalence and symbolic notation. Application of logical statements to real-world examples. Truth table comparison between compound statements and biconditionals
✅ 3 Logic Reference Sheets
Definitions, truth tables, and essential logic laws (including DeMorgan’s Laws, Conditional Rules, and more!)Definitions, truth tables, and essential logic laws (including DeMorgan’s Laws, Conditional Rules, and more!)
✅ Answer Keys
REFERENCE SHEETS INCLUDE:
- Definitions and symbols for:
✫ Negation (~), Conjunction (∧), Disjunction (∨)
✫ Conditional (→), Biconditional (↔)
- Truth tables for all major compound statements
- LAWS for proofs:
✫ DeMorgan’s Laws
✫ Law of Disjunctive Inference
✫ Law of Conjunction
GUIDED LESSON FLOW:
- Warm-up reviewing compound statements with logical operators (∧, ∨, ~)
- Introduction and structure of conditional statements (if-then format)
- Practice translating real-world if-then sentences into logic symbols
- Truth table for conditional statements and explanation of when they're false
- Definitions and symbolic forms of converse, inverse and contrapositive.
- Guided examples to convert statements into each form and analyze logical equivalence
- Explanation and symbolic form of biconditional statements (↔)
- Truth value chart comparing all four forms: conditional, converse, inverse, contrapositive
- Practice evaluating compound logic statements using truth values
Logic Proof | Conditional Statements, Inverse, Converse, Contrapositive | Lesson
Highlights
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Description
This logic guided lesson introduces students to conditional, converse, inverse, contrapositive, and biconditional statements. With a focus on conditional logical equivalence, students learn how to identify and transform statements using symbolic notation, truth tables, and a conditional logic chart for visual support.
The lesson clearly breaks down each type of transformation—inverse logic statements, converse logic, contrapositive law, and their relationships. Students explore converse vs inverse logic through scaffolded examples and are guided step-by-step in analyzing conditional logic AND/OR operations to strengthen reasoning skills.
Designed for clarity and mastery, this resource also includes conditional logic drills to reinforce understanding and build fluency with conditional logic math in a structured and engaging way.
---------------------------
YOU MIGHT BE INTERESTED IN:
✫ Lesson 1: Negation, Conjunction, Disjunction
✫ Lesson 3: Law of Detachment & Law of Disjunctive Inference
✫ Lesson 4: Law of Syllogism, Law of Conjunction, Law of Contrapositive
✫ Lesson 6: Tautology & Contradiction
✫ Entire Unit Bundle - 20% Off!
RELATED PROOFS SERIES:
✫ Proofs Bundle | Triangle Congruence Lessons (SSS, SAS, ASA, AAS, HL + CPCTC)
✫ Proofs | Proving Parallelograms using Triangle Congruence Postulates
---------------------------
INCLUDED:
✅ Guided Lesson: Built-in reference material with definitions, rules, and symbols introducing
- Conditional logic
- Converse, inverse, contrapositive
- Biconditional statements
- Truth tables and logical equivalence
✅ Homework Assignment with symbolic logic practice and multiple choice questions
Practice converting between conditional, converse, inverse, and contrapositive. Multiple choice questions on logical equivalence and symbolic notation. Application of logical statements to real-world examples. Truth table comparison between compound statements and biconditionals
✅ 3 Logic Reference Sheets
Definitions, truth tables, and essential logic laws (including DeMorgan’s Laws, Conditional Rules, and more!)Definitions, truth tables, and essential logic laws (including DeMorgan’s Laws, Conditional Rules, and more!)
✅ Answer Keys
REFERENCE SHEETS INCLUDE:
- Definitions and symbols for:
✫ Negation (~), Conjunction (∧), Disjunction (∨)
✫ Conditional (→), Biconditional (↔)
- Truth tables for all major compound statements
- LAWS for proofs:
✫ DeMorgan’s Laws
✫ Law of Disjunctive Inference
✫ Law of Conjunction
GUIDED LESSON FLOW:
- Warm-up reviewing compound statements with logical operators (∧, ∨, ~)
- Introduction and structure of conditional statements (if-then format)
- Practice translating real-world if-then sentences into logic symbols
- Truth table for conditional statements and explanation of when they're false
- Definitions and symbolic forms of converse, inverse and contrapositive.
- Guided examples to convert statements into each form and analyze logical equivalence
- Explanation and symbolic form of biconditional statements (↔)
- Truth value chart comparing all four forms: conditional, converse, inverse, contrapositive
- Practice evaluating compound logic statements using truth values





