U NIT 3: L OGIC (G.1 A, B ) W ARM - UP : C HECKPOINT G.2 G RADED SOL QUESTIONS H OMEWORK : ( DAY 17) P. 92 (1-3, 7, 9, 11, 20-26, 41) P. 101 (9, 11, 35,

Slides:



Advertisements
Similar presentations
12.2: And and Or in Logic 1/17/ : And, Or and Not in Logic Expectations: L3.2.1:Know and use the terms of basic logic (e.g., proposition, negation,
Advertisements

Geometry Chapter 2 Terms.
Geometry 2.2 Big Idea: Analyze Conditional Statements
CHAP 1: L OGIC “If it was so, it might be: and if it were so, it would be; but as it isn’t, it ain’t. That’s logic” - Lewis Carroll, author of Alice in.
Adapted from Discrete Math
Logic, Conditional statements and deductive reasoning
2.5 Verifying Arguments Write arguments symbolically. Determine when arguments are valid or invalid. Recognize form of standard arguments. Recognize common.
Section 1-4 Logic Katelyn Donovan MAT 202 Dr. Marinas January 19, 2006.
Chapter 1: The Foundations: Logic and Proofs
L OGIC. A conjecture is an educated guess that can be either true or false. A statement is a sentence that is either true or false but not both. Often.
Logic Geometry Unit 11, Lesson 5 Mrs. Reed. Definition Statement – a sentence that is either true or false. Example: There are 30 desks in the room.
2.2 Statements, Connectives, and Quantifiers
Ch.2 Reasoning and Proof Pages Inductive Reasoning and Conjecture (p.62) - A conjecture is an educated guess based on known information.
L OGIC Sol: G.1 b, c Sec: A conjecture is an educated guess that can be either true or false. A statement is a sentence that is either true or.
Logic Disjunction A disjunction is a compound statement formed by combining two simple sentences using the word “OR”. A disjunction is true when at.
Conditional Statements Lesson 2-1. Conditional Statements have two parts: Hypothesis ( denoted by p) and Conclusion ( denoted by q)
CONDITIONALS. Conditional Statement: Any statement that is or can be written in if- then form. That is, If p then q.
Unit 2 Part 1 Conditional, Converse, Inverse, and Contra- Positive Statements.
Conditional Statements Section 2-3 Conditional Statements If-then statements are called conditional statements. The portion of the sentence following.
Section 2-2: Conditional Statements. Conditional A statement that can be written in If-then form symbol: If p —>, then q.
Unit 01 – Lesson 07 – Conditional Statements
Logic and Reasoning Conditional Statements. Logic The use and study of valid reasoning. When studying mathematics it is important to have the ability.
Lesson Aim: How do we recognize converses, inverses, contrapositive & conditional statements? Lesson Objectives: SWBAT Recognize converses, inverses, contrapositive.
Chapter 2 Section 2-1: Conditional Statements
Thinking Mathematically
Logic Eric Hoffman Advanced Geometry PLHS Sept
V ENN D IAGRAMS (G.1 C ) O BJ : SWBAT WRITE STATEMENTS GIVEN A VENN DIAGRAM ( AND THE CONVERSE ). H OMEWORK ( DAY 19) Worksheet day 19 (2-34Even, 36-64all)
2-2 Conditional Statements Objectives: To recognize conditional statements and their parts To write converses, inverses, and contrapositives of conditionals.
LECTURE 1. Disrete mathematics and its application by rosen 7 th edition THE FOUNDATIONS: LOGIC AND PROOFS 1.1 PROPOSITIONAL LOGIC.
Lesson 2-2.B Logic: Truth Tables. 5-Minute Check on Lesson 2-2.A Transparency 2-2 Make a conjecture about the next item in the sequence. 1. 1, 4, 9, 16,
Review Find a counter example for the conjecture Given: JK = KL = LM = MJ Conjecture: JKLM forms a square.
If-then statements April 4, What is an if-then statement? One of the postulates we looked at earlier stated: If B is between A and C, then AB +
Lesson 2-1 Conditional Statements 1 Lesson 2-3 Conditional Statements.
2.1 Inductive Reasoning and Conjecture 2.2 Logic 2.3 Conditional Statements 2.8 Angle Relationships Chapter 2: Reasoning & Proof.
 Statement - sentence that can be proven true or false  Truth value – true or false  Statements are often represented using letters such as p and q.
Section 2.2 Homework Quiz Question Put the following Conditional Statement into If Then Form: All birds have feathers.
Conditional Statements. 1) To recognize conditional statements and their parts. 2) To write converses, inverses, and contrapositives of conditionals.
Simple Logic.
Lesson 2-1 LESSON 2-1 CONDITIONAL STATEMENTS 1 Conditional Statements.
Truth Tables for Negation, Conjunction, and Disjunction
Presented by: Tutorial Services The Math Center
Conditional Statements
Conditional Statements
Lesson 2-2.A Logic: Venn Diagrams.
AND.
POSTULATES AND PROOFS ★Postulates are statements that are assumed to be true without proof. ★ Postulates serve two purposes - to explain undefined terms,
Conditional Statements
Logic.
Geometry Pre-AP BOMLA LacyMath 10/6.
Objectives Identify, write, and analyze the truth value of conditional statements. Write the inverse, converse, and contrapositive of a conditional statement.
Warm Up:.
Chapter 8 Logic Topics
2-2 Conditional Statements
2-2 Conditional Statements
Chapter 3 Introduction to Logic 2012 Pearson Education, Inc.
Conditional Statements
TRUTH TABLES.
2.1-2 Inductive Reasoning and Conditional Statements
(1.4) An Introduction to Logic
1 Chapter An Introduction to Problem Solving
Conditional Statements
Discrete Mathematics and Its Applications Kenneth H
1 Chapter An Introduction to Problem Solving
MAT 3100 Introduction to Proof
Inductive Reasoning and Conjecture, and Logic
And represent them using Venn Diagrams.
More Conditional Statements
Logic and Reasoning.
2-2 Logic Vocab Statement: A sentence that is either true or false
Interpreting Truth tables (biconditional statements)
Presentation transcript:

U NIT 3: L OGIC (G.1 A, B ) W ARM - UP : C HECKPOINT G.2 G RADED SOL QUESTIONS H OMEWORK : ( DAY 17) P. 92 (1-3, 7, 9, 11, 20-26, 41) P. 101 (9, 11, 35, 37) C HECK A NSWERS ( ODD IN TEXT, E VEN O N P OWER POINT S LIDE P EARSON S UCCESS DUE F RIDAY Obj: SWBAT identify Logic statements: Conditional, Converse, Inverse & Contrapositive (2.2/2.3) **hw/hw log/storybook: “Logic”/glue stick or tape

Copy this into your SOL binder (day 17)

W E ARE NOW B EGINNING U NIT 3: L OGIC Please organize your notebook so it is in consecutive order! Unit 1: lessons 1-10 Unit 2: lessons Unit 3: lessons

Then Write your own Hypothesis & on back: Negate the hypothesis Write your own Conclusion & on back : Negate the conclusion If

C OMPOUND S TATEMENT A compound statement is two or more statements that are joined together. Example: p: Richmond is a city in Virginia. q: Richmond is the capital of Virginia. p and q: Richmond is a city in Virginia and Richmond is the capital of Virginia.

Conjecture is an educated guess that can be either true or false. A Statement is a sentence that is either true or false but not both. Often represented by a letter such as p, q or r. The Truth value is the truth or falsity of a statement.

A conjunction- a compound statement using the word “AND” symbolically: read ”p and q” ***A conjunction is true IFF both statements are true.* A disjunction - a compound statement using the word “or”. Symbolically: “read” p or q ***A disjunction is true if at least one of the statements are true.*

N EGATIONS The negation of a statement says it has the opposite meaning. So the negation would be ~p read “not p” ~q read “not q” Example: p: Suffolk is a city in Virginia. ~p: Suffolk is not a city in Virginia.

T EACHER ’ S N OTES : If time- have students form groups of four. One person write a sentence (not in the conditional form. The group write the same sentence in the conditional form. Then clockwise the next student write the converse, inverse and contrapositive (use as a class grade).