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Logic Proof | Conditional Statements, Inverse, Converse, Contrapositive | Lesson
Logic Proof | Conditional Statements, Inverse, Converse, Contrapositive | Lesson
Logic Proof | Conditional Statements, Inverse, Converse, Contrapositive | Lesson
Logic Proof | Conditional Statements, Inverse, Converse, Contrapositive | Lesson
Logic Proof | Conditional Statements, Inverse, Converse, Contrapositive | Lesson
Logic Proof | Conditional Statements, Inverse, Converse, Contrapositive | Lesson
Logic Proof | Conditional Statements, Inverse, Converse, Contrapositive | Lesson
Logic Proof | Conditional Statements, Inverse, Converse, Contrapositive | Lesson
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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 5: DeMorgan's Law

Lesson 6: Tautology & Contradiction

Test w/ Study Guide

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
Report this resource to TPT
Reported resources will be reviewed by our team. Report this resource to let us know if this resource violates TPT's content guidelines.

Logic Proof | Conditional Statements, Inverse, Converse, Contrapositive | Lesson

Higher Math Made Simple
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$4.00

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Digital downloads
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Grades
9th - 10th
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Subjects
Pages
17
Answer Key
Included
Teaching Duration
55 minutes

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Geometry logic negation, conjunction, disjunction, conditional statements, inverse, converse, contrapositive, law of detachment, law of syllogism, law disjunctive inference, De Morgan's law, tautology & contradiction proofs.--------------------------------------------YOU MIGHT BE INTERESTED IN:✫
Price $22.50Original Price $28.25Save $5.75
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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 5: DeMorgan's Law

Lesson 6: Tautology & Contradiction

Test w/ Study Guide

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
Report this resource to TPT
Reported resources will be reviewed by our team. Report this resource to let us know if this resource violates TPT's content guidelines.

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