Rules of Logic 2-1C What is the Law of Detachment? What is Chain Rule?

Slides:

Advertisements

Similar presentations

Beth went to the shoe store. Beth went to the shoe store.

Advertisements

2.5 If-Then Statements and Deductive Reasoning

Chapter 2 Geometric Reasoning

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

2-4 Rules of Logic What is deductive reasoning?

First Grade Spelling Words

Jenny’s old water pump could only fill 1 swimming pool in 5 hours. Her new water pump was able to fill 1 swimming pool in 3 hours. How long will it take.

One day my mom said do you want to help me put up the Christmas decorations. To put up decorations To go make a snowman.

Section 2.3 Deductive Reasoning.

2.3 Apply Deductive Reasoning. Objectives Use the Law of Detachment Use the Law of Detachment Use the Law of Syllogism Use the Law of Syllogism.

Foreign Language Spanish I & N Class Foreign Language Mrs. Linson’s Room 303.

1 2-3 Deductive Reasoning Objectives: Define deductive reasoning Use the Law of Detachment Use the Law of Syllogism.

Warm Up Week 7 1) Write the equation for the line that goes through the point and slope: ( 2, -9 ) and m = 3.

2.3 Apply Deductive Reasoning Use deductive reasoning to form a logical argument.

Deductive Reasoning What can you D…D….D…. DEDUCE ?

Bell Work “If x=4, then “ 1)Write the hypothesis 2)Write the Conclusion 3) Write the converse 4)What is the Biconditional?

Applying Deductive Reasoning Section 2.3. Essential Question How do you construct a logical argument?

Deductive Reasoning Chapter 2 Lesson 4.

Chapter 2 Lesson 3 Objective: To use the Law of Detachment and the Law of Syllogism.

Section 2.5 If-Then Statements and Deductive Reasoning pg.82.

Calculus Honors September 22 nd Students will complete their daily warm-up problems. Go over any questions students have on previous night’s homework (page.

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

Sometimes Teachers Change. I go to school at ________________________. There are many people that help me learn at school. They are my teachers. Sometimes.

Do Now. Law of Syllogism ◦ We can draw a conclusion when we are given two true conditional statements. ◦ The conclusion of one statement is the hypothesis.

Splash Screen Today in Geometry Lesson 2.1: Inductive Reasoning Lesson 2.2: Analyze conditional statements.

Speak Assignment 12: Quiz, Pages Directions In groups of four, use a piece of construction paper to write down (neatly) in different color pens.

2.4 Biconditional Statements and Definitions Textbook pg 96.

FRIDAY, AUGUST 24, HOMEWORK CHECK Please pass in your write-ups then check your answers to the homework from Wednesday night: p #42-50 even.

Deductive Reasoning Geometry Chapter 2-3 Mr. Dorn.

2-3 Deductive Reasoning. A mechanic uses deductive reasoning to determine what is wrong with your car.

Deductive Reasoning 1-2C What is deductive reasoning? What is the difference between deductive reasoning and inductive 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.

By: Jean Luc van Beusekom Aldana.  If I have a grade of 65 of more then I pass the year  If I get good grades then my parents will be happy  If I sleep.

Conditional Statements 2-1A What is a conditional statement? What two parts make up a conditional statement?

First Grade Sight Words. the of and a an to.

Name vertical angles and linear pairs. Name a pair of complementary angles and a pair of supplementary angles.

2.3 DEDUCTIVE REASONING GOAL 1 Use symbolic notation to represent logical statements GOAL 2 Form conclusions by applying the laws of logic to true statements.

Sometimes Teachers Change. I go to school at ________________________. There are many people that help me learn at school. They are my teachers. Sometimes.

LG 1: Logic A Closer Look at Reasoning

2-4 Deductive Reasoning. Deductive Reasoning …(sometimes called Logical Reasoning) is the process of reasoning logically from given statements or facts.

Section 2-3: Deductive Reasoning Goal: Be able to use the Law of Detachment and the Law of Syllogism. Inductive Reasoning uses _________ to make conclusions.

P. 87 bottom DEFINITION: LAW OF DETACHMENT - simply says if the hypothesis of a conditional statement is true than you can state that the conditions.

2-4 Deductive Reasoning Objective:

Deductive Reasoning, Postulates, and Proofs

Chapter 1 Lessons 1-4 to 1-8.

Do Now: True 2. False 3. False C D.

2.2 Inductive and Deductive Reasoning

2 Chapter Introduction to Logic and Sets

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.

Logic Lesson 2-2: Logic.

2.4 Deductive Reasoning.

Do Now Determine how a conclusion was made (by observing a pattern, facts being provided, something that is repeated, etc.) 1. Every time Katie has worn.

2-3 Deductive Reasoning Objectives:

Drawing and Supporting Conclusions

Drill: Tuesday, 10/18 2. Determine if the conditional “If x is a number then |x| > 0” is true. If false, give a counterexample. OBJ: SWBAT analyze.

EXAMPLE 1 Use the Law of Detachment

2.3 Apply Deductive Reasoning

2-4 Deductive Reasoning 8th Grade Geometry.

Premise: If it’s a school day, then I have Geometry class.

2-1: Logic with Inductive Reasoning

D8 – Bellringer Today is the DAY!

2.3 Deductive Reasoning.

D8 – Bellringer Today is the DAY!

Research Paper Overview.

To solve problems by looking for a pattern

2.3 Deductive reasoning Brett Solberg AHS ’11-’12.

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

EXAMPLE 1 Use the Law of Detachment

Presentation transcript:

Rules of Logic 2-1C What is the Law of Detachment? What is Chain Rule?

Law of Detachment She detached the collar from her coat. I detached the weeds from my fish hook. Law of Detachment: A pattern that detaches the conclusion from a conditional statement.

Law of Detachment Write another true statement, if possible. If Fran gets an A in Spanish, then she will make the Honor Roll. Fran gets an A in Spanish. Fran will make the Honor Roll.

Law of Detachment Write another true statement, if possible. If John is in 10 th grade, then he is a sophomore. John is in 10 th grade. John is a sophomore.

Chain Rule We made a paper chains for the party decorations. I put my pendant on a chain. Chain Rule: links two true conditional statements. It can only be used if the hypothesis of one statement is the conclusion of the other.

Chain Rule What other statement must also be true using the following statements? If I’m proud of my heritage, then I will learn more about my culture. If I learn more about my culture, then I can share it better with other people.

Chain Rule If I clean my room, then I’ll find my shoes. If I find my shoes, then I’ll be able to go to the store. If I clean my room, then I’ll be able to go to the store.

Assignment 2-1C Page 101, 1-11, 20, 22