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    4.2 Deductive Reasoning: Enabling Activity:Collaboration

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    nicole dorde
    This document discusses deductive reasoning and provides examples. It defines deductive reasoning as drawing specific, truthful conclusions from general principles. It gives examples such as: 1) All members of the club use the club's pool. Deanna is a member of the club. Therefore, Deanna can use the club's pool. 2) All numbers are divisible by 3 if the sum of the digits is divisible by 3. Consider 339. The sum of 3, 3 and 9 is 15. Therefore 339 is divisible by 3. The document also provides tasks for students to practice deductive reasoning.

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    4.2 Deductive Reasoning: Enabling Activity:Collaboration

    Uploaded by

    nicole dorde
    45 views4 pages
    This document discusses deductive reasoning and provides examples. It defines deductive reasoning as drawing specific, truthful conclusions from general principles. It gives examples such as: 1) All members of the club use the club's pool. Deanna is a member of the club. Therefore, Deanna can use the club's pool. 2) All numbers are divisible by 3 if the sum of the digits is divisible by 3. Consider 339. The sum of 3, 3 and 9 is 15. Therefore 339 is divisible by 3. The document also provides tasks for students to practice deductive reasoning.

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    4.2+Deductive+Reasoning

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    This document discusses deductive reasoning and provides examples. It defines deductive reasoning as drawing specific, truthful conclusions from general principles. It gives examples such as: 1) All members of the club use the club's pool. Deanna is a member of the club. Therefore, Deanna can use the club's pool. 2) All numbers are divisible by 3 if the sum of the digits is divisible by 3. Consider 339. The sum of 3, 3 and 9 is 15. Therefore 339 is divisible by 3. The document also provides tasks for students to practice deductive reasoning.

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    45 views4 pages

    4.2 Deductive Reasoning: Enabling Activity:Collaboration

    Uploaded by

    nicole dorde
    This document discusses deductive reasoning and provides examples. It defines deductive reasoning as drawing specific, truthful conclusions from general principles. It gives examples such as: 1) All members of the club use the club's pool. Deanna is a member of the club. Therefore, Deanna can use the club's pool. 2) All numbers are divisible by 3 if the sum of the digits is divisible by 3. Consider 339. The sum of 3, 3 and 9 is 15. Therefore 339 is divisible by 3. The document also provides tasks for students to practice deductive reasoning.

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    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    of 4

    4.

    2 Deductive reasoning
    LEARNING OUTCOMES:
    In this lesson, you will be able to:
     understand deductive reasoning;
     utilize deductive reasoning in solving problems; and
     show commitment in solving problems.

    Enabling Activity:Collaboration

    Title: Picture this


    Time: 5 minutes
    Material: Hand-outs

    Instruction: The title of this activity is “Picture this”. With a partner, discuss the events that led to the time
    before the picture was taken.

    Discussion: (20min)
    Mathematical reasoning can sometimes lead observers to make impractical decisions. If the event
    happened already, what evidences can be made to justify the event? Information that have already been
    verified are important to prove the validity of reasoning. This is the reason conjectures can be transformed
    into generalized principles.
    Deductive reasoning is a process of making specific and truthful conclusions based on general principles.
    The following are examples of deductive reasoning:
    1. All members of the club use the club’s pool. Deanna is a member of the club. Therefore, Deanna can
    use the club’s pool.
    2. All numbers are divisible by 3 if the sum of the digits is divisible by 3. Consider 339. The sum of 3, 3 and
    9 is 15. Therefore 339 is divisible by 3.

    Main Task 1:
    Title: Deductive reasoning
    Time: 10 minutes
    General direction: Answer
    Material: Hand-outs

    A. Complete the following:

    1. In order to get a student driver’s license, a person must be 16 years old. Rowena will be 16 years old in
    two days.
    Conclusion: ___________________________________________________________

    2. Employees have a “wash” day every Friday to allow them to wash their office clothes. Today is Friday.
    Conclusion: ___________________________________________________________

    3. All humans are rational. I am a human.


    Conclusion: ____________________________________________________________

    4. All tangible materials are destined to depreciate. A car is a tangible material.


    Conclusion: ____________________________________________________________

    5. All students are eligible to be in the dean’s list. Edwin is a student.


    Conclusion: ____________________________________________________________
    Main Task 2:
    Title: Solving
    Time: 15 minutes
    General direction: Answer
    Material: Hand-outs
    B. Solve the following completely.

    1. 3 x+ 8 ( x −1 )=47

    1
    2. ( x+ 2 )=5( x +2)
    2

    3. −2 x−1≤−9

    Reinforcement:
    Title: Solving
    Time: 10 minutes
    General direction: Answer
    Material: Hand-outs

    Direction: Solve the following completely.


    1. 2 x+ 8 ( x−1 )=10

    1
    2. ( y−3 )=2( y +5)
    2
    3. −3 x−5 ≤−6

    SUMMARY:

    Deductive reasoning is a process of making specific and truthful conclusions based on general
    principles.

    REFERENCE:

    Textbook:
    Manlulu and Hipolito (2019) Mathematics in the Modern World. Published and Distributed by
    REX Book Store: 856 Nicanor Reyes, Manila

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