• 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 2.4 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