• Chapter 2 Reasoning and Proof

    Objectives:
    make conjectures based on inductive reasoning, find counterexamples
    determine truth values of negation, conjunctions, and disjunctions; represent conjunctions and disjunctions using venn diagrams
    analyze statements in if-then form; write converses, inverses, and contrapositives
    use law of detachment, law of syllogism
    identify and use basic postulates about points, lines, and planes; write paragraph proofs
    use algebra to write two column proofs; use properties of equality to write geometric proofs
     
    Define the (vocabulary) in your notebooks, include examples

    Please feel free to write down/download the powerpoint presentations or use the book in conjunction with the videos


     

     

    Lesson 2.1-2.4: Define & Write an example for the following

    (Inductive reasoning, conjecture, counterexample, statement, truth value, negation, compound statement, conditional statement, if-then statement,
    conclusion, converse, inverse, contrapositive, deductive reasoning)

     
    Lesson 2.2 Logic

    Lesson 2.4 Deductive Reasoning

     

     
    HW: Complete 2.1-2.4 Assignment
    Classwork (2.1) 14–45, 51–69 (2.2) 11–31, 41, 48–6 (2.3) 18–52, 63, 65–87  (2.4) 10–34, 42, 44–64

     


    Lesson 2.5-2.6:
    Postulates 2.1-2.7 (page 127), Midpoint Theorem,
    Properties of Real Numbers (page 136), two-column proof.  
    http://youtu.be/Nm14molu6DE?list=PL6fnJGBEw1UQG0-9bH4D8YJ4RILHbRtTI
    Classwork (2.5) 24–31, (2.6)1-5, 9-17, 23-24)

     


    Lesson 2.7: Write the following: (Ruler Postulate, Segment Addition Postulate, Properties of Segment Congruence, Transitive Property of Congruence)

    Classwork (4–13, 17, 19–36)

     


     
    Lesson 2.8: Write the following (Protractor Postulate, Angle Addition Postulate, Supplement Theorem, Complement Theorem, Properties of Angle Congruence, Symmetric Property of Congruence, Congruent Supplements Theorems, Congruent Complements Theorem, Vertical Angles Theorem)
    http://youtu.be/EyCtwNtZyRk?list=PL6fnJGBEw1UQG0-9bH4D8YJ4RILHbRtTI

    Classwork (8–15, 31, 32, 34–53)

     


    Test on Lesson 2.1-2.8
    1)Determine the next two terms in a sequence 
    2) Write the converse, inverse, and contrapositive of a conditional statement
    3) Identify the hypothesis and conclusion of a conditional statement
    4) Know your properties (ex: transitive, addition property of equality, etc.)
    5) Know how to solve proofs (algebraic, midpoint theorem, segment addition postulate, angle bisector, angle addition postulate)
    6) Know how to apply properties of complementary and supplementary angles.  
     

    PROJECT (Chapter 2)- Please sign up for my google classroom (Listed under Chapter 0)
    You are allowed to work with ONE other person. Everyone MUST submit their project even if they work with someone. (You may have to type your partner's email to share the document) 
    The Project is due Monday, November 9, 2015 at 1PM. (If it is not submitted by this time, it will automatically go into genesis as a zero)