Documents

Module-2_Truth-Value-Negation.docx

Description
Description:
Categories
Published
of 2
All materials on our website are shared by users. If you have any questions about copyright issues, please report us to resolve them. We are always happy to assist you.
Related Documents
Share
Transcript
  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.

Chap 4

Oct 7, 2019
We Need Your Support
Thank you for visiting our website and your interest in our free products and services. We are nonprofit website to share and download documents. To the running of this website, we need your help to support us.

Thanks to everyone for your continued support.

No, Thanks
SAVE OUR EARTH

We need your sign to support Project to invent "SMART AND CONTROLLABLE REFLECTIVE BALLOONS" to cover the Sun and Save Our Earth.

More details...

Sign Now!

We are very appreciated for your Prompt Action!

x