2-4 Deductive Reasoning 8th Grade Geometry.

Slides:

Advertisements

Similar presentations

Chapter 2 Review Lessons 2-1 through 2-6.

Advertisements

Geometry Chapter 2 Terms.

Sec 2-3 Concept: Deductive Reasoning Objective: Given a statement, use the laws of logic to form conclusions and determine if the statement is true through.

Chapter 2 By: Nick Holliday Josh Vincz, James Collins, and Greg “Darth” Rader.

Deductive Reasoning. Objectives I can identify an example of inductive reasoning. I can give an example of inductive reasoning. I can identify an example.

Lesson 2.3 p. 87 Deductive Reasoning Goals: to use symbolic notation to apply the laws of logic.

Bell Work 1) Find the value of the variables 2)Write the conditional and converse of each biconditional, and state if the biconditional is true or false.

4.3 Warm Up Find the distance between the points. Then find the midpoint between the points. (5, 2), (3, 8) (7, -1), (-5, 3) (-9, -5), (7, -14)

Do Now (partner #1) p: you live in San Francisco

Geometry Unit 2 Power Points Montero to 2.3 Notes and Examples Patterns, Conditional Statements, and BiConditional Statements Essential Vocabulary.

Chapter 2.1 Common Core G.CO.9, G.CO.10 & G.CO.11 Prove theorems about lines, angles, triangles and parallelograms. Objective – To use inductive reasoning.

Chapter Two Emma Risa Haley Kaitlin. 2.1 Inductive reasoning: find a pattern in specific cases and then write a conjecture Conjecture: unproven statement.

» Please sit by your number from the seating chart on the clipboard. » Please fill in the vocabulary sheet on your desk: ˃Conditional statement ˃Hypothesis.

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

Geometry: Chapter 2 By: Antonio Nassivera, Dalton Hogan and Tom Kiernan.

2.4 Deductive Reasoning Deductive Reasoning – Sometimes called logical reasoning. – The process of reasoning logically from given statements or facts to.

Deductive Reasoning Chapter 2 Lesson 4.

Deductive Reasoning.  Conditional Statements can be written using symbolic notation  p represents hypothesis  q represents conclusion  is read as.

2.4 Ms. Verdino.  Biconditional Statement: use this symbol ↔  Example ◦ Biconditional Statement: The weather is good if and only if the sun is out 

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

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

From conclusions by applying the laws of logic. Symbolic Notation Conditional statement If p, then qp ⟶q Converseq⟶p Biconditional p ⟷ q.

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

 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 2-5: Deductive Reasoning Goal: Be able to use the Law of Detachment and the Law of Syllogism. Inductive Reasoning uses _________ to make conclusions.

WARM UP. DEDUCTIVE REASONING LEARNING OUTCOMES I will be able to use the law of detachment and syllogism to make conjectures from other statements I.

Inductive and Deductive Reasoning. Definitions: Conditionals, Hypothesis, & Conclusions: A conditional statement is a logical statement that has two parts:

Chapter 2.1 Notes Conditional Statements – If then form If I am in Geometry class, then I am in my favorite class at IWHS. Hypothesis Conclusion.

Section 2.3: Deductive Reasoning

5-Minute Check Converse: Inverse: Contrapositive: Hypothesis: Conclusion: The measure of an angle is less than 90  The angle is acute If an angle is.

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

Reasoning and Proof Chapter – Conditional Statements Conditional statements – If, then form If – hypothesis Then – conclusion Negation of a statement-

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.

Reasoning and Proof Chapter Use Inductive Reasoning Conjecture- an unproven statement based on an observation Inductive reasoning- finding a pattern.

Chapter 2, Section 1 Conditional Statements. Conditional Statement Also know as an “If-then” statement. If it’s Monday, then I will go to school. Hypothesis:

2.1, 2.3, 2.4 Inductive and Deductive Reasoning and Biconditional Statements.

2-4 Deductive Reasoning.

Reasoning in Algebra & Deductive Reasoning (Review) Chapter 2 Section 5.

Essential Question: What is deductive reasoning?

Chapter 1 Lessons 1-4 to 1-8.

Section 2.1 Conditional Statements

Biconditionals & Deductive Reasoning

Warm Up For this conditional statement: If a polygon has 3 sides, then it is a triangle. Write the converse, the inverse, the contrapositive, and the.

Section 1.8: Statements of Logic

Conditional Statements

Chapter 2 Review Geometric Reasoning.

2.1: Patterns and Inductive Reasoning

Chapter 2 Reasoning and Proof.

Applying Deductive Reasoning

Review Sheet Chapter Two

2.2 Deductive Reasoning Objective:

Sec. 2.3: Apply Deductive Reasoning

Earlier we learned about inductive reasoning. • Earlier we learned about inductive reasoning. • Look at specific examples. • Recognize patterns, which.

2.3 Using Deductive Reasoning to Verify Conjectures

Warmup Write the two conditionals(conditional and converse) that make up this biconditional: An angle is acute if and only if its measure is between 0.

2-3 Deductive Reasoning Objectives:

Drawing and Supporting Conclusions

Conditional Statements

2.3 Apply Deductive Reasoning

Conditional Original IF-THEN statement.

Chapter 2.3 Notes: Apply Deductive Reasoning

Reasoning and Proofs Deductive Reasoning Conditional Statement

Logic and Reasoning.

Angles, Angle Pairs, Conditionals, Inductive and Deductive Reasoning

TODAY’S OBJECTIVE: Standard: MM1G2

TODAY’S OBJECTIVE: Standard: MM1G2

Goal 1: Using Symbolic Notation Goal 2: Using the Laws of Logic

Different Forms of Conditional Statements

Chapter 2 Reasoning and Proof.

Presentation transcript:

2-4 Deductive Reasoning 8th Grade Geometry

Conditional Statement (If-then) - If p, then q (p  q) Converse – If q, then p (q  p) Inverse – If not p, then not q (~ p  ~q) Contrapositive – If not q, then not p (~q  ~ p) Biconditional Statement (if and only if) – p if and only if q (p  q)

Conditional Statement (If-then) – If p, then q. Symbols: p  q

Inductive Reasoning – reasoning based on patterns Deductive Reasoning – reasoning based on using given facts.

If an “If-Then” statement and its Hypothesis are true, Law of Detachment: If an “If-Then” statement and its Hypothesis are true, then the Conclusion is true.

There are clouds in the sky. Malcolm earns an A. Angles 3 and 4 are congruent. d. Given: If two angles are vertical, then they are congruent. Angles 3 and 4 are supplementary. No conclusion.

Law of Syllogism: If pq and qr are both true, then pr is true. Example: If it is July, then you are on summer vacation. If you are on summer vacation, then you work at an ice-cream shop. Conclusion: If it is July, then you work at an ice-cream shop.

If a number is divisible by 12, then it is divisible by 3. No Conclusion

Ken lives in the United States.