Logic and Reasoning.

Slides:

Advertisements

Similar presentations

Geometry Chapter 2 Terms.

Advertisements

Geometry Chapter 02 A BowerPoint Presentation

Geometry 2.2 Big Idea: Analyze Conditional Statements

The Conditional & Biconditional MATH 102 Contemporary Math S. Rook.

 Writing conditionals  Using definitions as conditional statements  Writing biconditionals  Making truth tables.

Get Ready To Be Logical! 1. Books and notebooks out. 2. Supplies ready to go. 3. Answer the following: The sum of 2 positive integers is ___________ True.

Conditional Statements

Conditional Statements M Deductive Reasoning Proceeds from a hypothesis to a conclusion. If p then q. p  q hypothesis  conclusion.

Analyzing Conditional Statements A _______________________________ is a logical statement that has two parts, a hypothesis and a conclusion.

DO NOW Take a blank notecard from the front bookshelf. Explain why the following statements are false. If you live in California, you live in Watts If.

Conditional Statements Conditional Statement: “If, then” format. Converse: “Flipping the Logic” –Still “if, then” format, but we switch the hypothesis.

Learning Targets I can recognize conditional statements and their parts. I can write the converse of conditional statements. 6/1/2016Geometry4.

Logic and Reasoning. Identify the hypothesis and conclusion of each conditional. Example 1: Identifying the Parts of a Conditional Statement A.If today.

Wednesday, October 24 th Aim: In what other ways can we potentially change the truth value of a conditional statement? Do Now: Write a TRUE conditional.

CONDITIONALS. Conditional Statement: Any statement that is or can be written in if- then form. That is, If p then q.

Section 2-1 Using Deductive Reasoning. If/then statements Called conditional statements or simply conditionals. Have a hypothesis (p) and a conclusion.

Conditional Statement A conditional statement has two parts, a hypothesis and a conclusion. When conditional statements are written in if-then form, the.

Unit 2 Part 1 Conditional, Converse, Inverse, and Contra- Positive Statements.

Section 2-1 Conditional Statements. Conditional statements Have two parts: 1. Hypothesis (p) 2. Conclusion (q)

Conditional Statements Section 2-3 Conditional Statements If-then statements are called conditional statements. The portion of the sentence following.

2.2.1 Analyze Conditional Statements and Proof Chapter 2: Reasoning and Proof.

Section 2-2: Conditional Statements. Conditional A statement that can be written in If-then form symbol: If p —>, then q.

Warm Up Week 7 1) find the slope between the two points: ( 2, -9 ) and ( -13, 21 )

Unit 01 – Lesson 07 – Conditional Statements

How to Speak Math… (In a Strange Way). VOCABULARY : INDUCTIVE REASONING DEDUCTIVE REASONING CONDITIONAL STATEMENT HYPOTHESIS CONCLUSION CONVERSE INVERSE.

Warm up 1.Re-write the following statements as an if-then statement. 2.State the converse of the statement. a.The midpoint of a segment is a point that.

Logic and Reasoning Conditional Statements. Logic The use and study of valid reasoning. When studying mathematics it is important to have the ability.

Chapter 2 Section 2-1: Conditional Statements

3.5/3.7 Converses, Negations and Contrapositives Warm-up (IN) Learning Objective: to write converses, inverses and contrapositives and use them in logical.

 Outside across from the word: › write the symbol for conditional: p -> q  INSIDE: › How to write the statement : If p, then q. › Example : If an angle.

Section 2.2 Analyze Conditional Statements. What is an if-then statement? If-then statements can be used to clarify statements that may seem confusing.

Inverse, Contrapositive & indirect proofs Sections 6.2/6.3.

Unit 2-2: Conditional Statements Mr. Schaab’s Geometry Class Our Lady of Providence Jr.-Sr. High School

Section 2.1 Geometric Statements. Definitions: Conditionals, Hypothesis, & Conclusions: A conditional statement is a logical statement that has two parts:

2-2 Conditional Statements Objectives: To recognize conditional statements and their parts To write converses, inverses, and contrapositives of conditionals.

Inductive and Deductive Reasoning. Notecard 29 Definition: Conjecture: an unproven statement that is based on observations. You use inductive reasoning.

2.1, 2.2 and 5.4: Statements and Reasoning. Conditional is an if-then statement that contains two parts. The part following the if is the Hypothesis.

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 +

Inductive and Deductive Reasoning. Notecard 30 Definition: Conjecture: an unproven statement that is based on observations or given information.

Inductive Reasoning Notes 2.1 through 2.4. Definitions Conjecture – An unproven statement based on your observations EXAMPLE: The sum of 2 numbers is.

Section 2.2 Homework Quiz Question Put the following Conditional Statement into If Then Form: All birds have feathers.

Unit 1-4 If and Then statements Conditional Statements in Geometry.

CS-7081 Application - 1. CS-7082 Example - 2 CS-7083 Simplifying a Statement – 3.

If – Then Statements Lesson 1.5.

Conditional Statements

Conditional Statements

Analyze Conditional Statements

Chapter 1 Lessons 1-4 to 1-8.

Lesson 2.5: Conditional Statements & Deductive Reasoning

Overview of related conditionals

What do you need more work on from the last unit?

Conditional Statements

2-2 Conditional Statements

Chapter 2 Reasoning and Proof.

If-Then Statements/Converses

Conditional Statements: logical statements with two parts.

2.2 Analyze Conditional Statements

2.1-2 Inductive Reasoning and Conditional Statements

Conditional Original IF-THEN statement.

MAT 3100 Introduction to Proof

Conditional Statements

Chapter 2.2 Notes: Analyze Conditional Statements

DRILL What would be the coordinates of the point (-2, 4) if it was reflected over the y-axis? If you dilate the point (-3, 9) using a scale factor of 1/3,

Chapter 2: Geometric Reasoning

Math Humor Teacher: Which month has 28 days? Student: All of them!!

Conditional Statements Section 2.3 GEOMETRY

Conditional Statements

Presentation transcript:

Logic and Reasoning

Conditional Statements

Conditional Statements

Conditional Statements Identify the hypothesis and the conclusion and rewrite as a Conditional Statement.

Conditional Statements Identify the hypothesis and the conclusion and rewrite as a Conditional Statement.

Negation of a statement Write the Negation of each statement:

Converse, Inverse, Contrapositive

Converse, Inverse, Contrapositive

Converse, Inverse, Contrapositive

Converse, Inverse, Contrapositive

Determining TRUTH

Determining TRUTH

Biconditional Statements

Biconditional Statements

Biconditional Statements