# Module-2_Truth-Value-Negation.docx

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I. Topic: Truth Value and Negation MODULE #2  II. Objectives:  At the end of the session, the students must be able to 1. Define truth value. 2. Define counterexample. 3. Negate statements. III. References: Synergy for Success in Mathematics pp. 255 - 256 IV. Motivation: If a plane figure is a square, then it has exactly three sides. Is it true or false? V. Lesson Proper: DEFINITION: The truth value  of a statement is a value or attribute corresponding to the truth or falsehood of the statement. Example: 1. If an object is a triangle, then it has three sides and three corners. - TRUE 2. If today is Monday, then tomorrow is Tuesday.  –  TRUE 3. If an animal is a bird, then it can fly. - FALSE DEFINITION:  A counterexample  is an example that proves that a statement is not always true.   STATEMENT COUNTEREXAMPLE 1. If a number is divisible by 2, then it is divisible by 4 6 2. If an animal is a mammal, then it lives on land whale DEFINITION: The negation  of a statement gives the opposite truth value of the srcinal statement. →      P Not P True False False True HOW ARE STATEMENTS NEGATED? 1. Statements with linking verbs    Write the word “not” after the linking verb  Examples:   This lesson is interesting.   This lesson is not interesting.   Whole numbers are fractions   Whole numbers are not fractions 2. Statements with the word “has” or “have”  - replace the word has with the phrase does not have - replace the word have with the phrase “do not have”  Examples:   A square has three sides.   A square does not have three sides.   Mage heroes have powerful skills.   Mage heroes do not have powerful skills. 3. Statements without a linking verb or the words has or have a. Base form of the verb    Write the phrase “do not” before the verb  Examples:   Parallel lines intersect   Parallel lines do not intersect.   Vloggers earn a lot in youtube.   Vloggers do not earn a lot in youtube. b. S-form of the verb - Write the phrase “do not” before the verb and remove the letter s/es  Examples:   A point indicates length. -  A point does not indicate length.   A grandmaster player bans OP heroes. -  A grandmaster player does not ban OP heroes. VI. GENERALIZATION:   The truth value  of a statement is a value or attribute corresponding to the truth or falsehood of the statement.   A counterexample  is an example that proves that a statement is not always true.   The negation  of a statement gives the opposite truth value of the srcinal statement. VII. EVALUATION: ⊸   A. Determine the truth value of the following statements. If the statement is false, give a counterexample.  1. If a number is divisible by 5, then it is divisible by 10. 2. If a plane figure is a quadrilateral, then it has four equal sides 3. If a number is multiplied to itself, then the product is a positive number. 4. If a number is a multiple 9, then it is a multiple of 3. 5. If 1 is continuously subtracted from a number, the resulting differences will have decreasing values. ⊸   B. Give the negation of the following statements.  1. Mathematics is a very difficult subject. 2. A prime number has factors other than 1 and itself. 3. Perpendicular lines intersect at exactly two points. 4. The number 2 divides an odd number without a remainder. 5. Responsible students are bound to fail.

Oct 7, 2019

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Oct 7, 2019
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