Definitions © 2006 by Mr. Mayers Reasoning Conditional Statements Properties Undefined Terms Symmetry Team 1Team 2Team 3Team 4 0000.

Slides:

Advertisements

Similar presentations

Geometry Chapter 2 Terms.

Advertisements

Geometry 2.3 Big Idea: Use Deductive Reasoning

Conditional Statements

Chapter 2 Geometric Reasoning

Friday, 2/3/12 Dress for Success for Extra Credit Chapter 2 Student Notes.

Conditional Statements Geometry Chapter 2, Section 1.

Problems to study for the chapter 2 exam

GEOMETRY Chapter 2 Notes.

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.

Inductive and Deductive Reasoning Geometry 1.0 – Students demonstrate understanding by identifying and giving examples of inductive and deductive reasoning.

Review! It’s Go Time!.

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.

$100 $200 $300 $400 $500 $200 $300 $400 $500 Inductive Reasoning and Logic Conditional Statements Angle and Segment Addition Deductive Reasoning Postulates.

Section 2-3 Deductive Reasoning. Types of Reasoning:

Reasoning and Conditional Statements Advanced Geometry Deductive Reasoning Lesson 1.

Deductive Reasoning Chapter 2 Lesson 4.

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

INDUCTIVE REASONING AND CONJECTURE. DEFINITIONS Conjecture: a best guess based on known information. Inductive Reasoning: using specific examples to arrive.

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

Conjecture: an educated guess

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

Logic Puzzles Four friends (Al, Gary, Mike, & Roger) each have a favorite TV show. Oddly enough, while the four are close friends, their interest in TV.

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

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.

Marketing and Advertising

2.1 Conditional Statements Ms. Kelly Fall Standards/Objectives: Students will learn and apply geometric concepts. Objectives: Recognize the hypothesis.

GEOMETRIC PROOFS A Keystone Geometry Mini-Unit. Geometric Proofs – An Intro Why do we have to learn “Proofs”? A proof is an argument, a justification,

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

GEOMETRY CHAPTER 2 Deductive Reasoning pages

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.

Daniel Escobar Geometry Journal 2. Conditional statement A conditional statement is a statement in the if-then form. P-Q Examples: Ex.1: If I study, then.

“Education is the most powerful weapon which you can use to change the world.” ― Nelson Mandela Do NowNelson Mandela  Put your homework assignment (examples.

Geometry Math-0!. If a conditional statement is known to be true, then what must also be true? Question 1.

Chapter 2 Section 2.1 – Conditional Statements Objectives: To recognize conditional statements To write converses of conditional statements.

Section 2.3: Deductive Reasoning

Bell Work If 2 Lines are skew, then they do not intersect 1) Converse 2) Inverse 3) Contrapositive 4) Biconditional.

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

2.3 Deductive Reasoning. Symbolic Notation Conditional Statements can be written using symbolic notation. Conditional Statements can be written using.

Geometry Review Jeopardy. Review Jeopardy Rules On a teams’ first pick they must pick a questions worth 20 points or LESS On a teams’ second pick they.

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.

“Education is the most powerful weapon which you can use to change the world.” ― Nelson Mandela Do NowNelson Mandela  Take two sticky notes from the bookcase.

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

Unit 2: Reasoning and Proof

3/15/ : Deductive Reasoning1 Expectations: L3.1.1: Distinguish between inductive and deductive reasoning, identifying and providing examples of each.

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.

Draw a Logical Conclusion:  If you are a lefty then you struggle to use a can opener.  If you like math then you must be smart.  If you are smart then.

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:

Conditional Statements A conditional statement has two parts, the hypothesis and the conclusion. Written in if-then form: If it is Saturday, then it is.

It’s already Tuesday! 1. You need your journal. Unit 1 test is on Friday What did the one wall say to the other wall? I’ll meet you at the corner.

Deductive Reasoning. Warm-up Objectives: 1) To use the Law of Detachment 2) To use the Law of Syllogism.

Geometry Chapter 2: Reasoning and Introduction to Proof We can do this dude!

LG 1: Logic A Closer Look at Reasoning

Chapter 2: Reasoning & Proof Conditionals, Biconditionals, & Deductive Reasoning.

Topic 1: 1.5 – 1.8 Goals and Common Core Standards Ms. Helgeson

Deductive Reasoning, Postulates, and Proofs

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.

Reasoning Proof and Chapter 2 If ….., then what?

Reasoning and Proofs Chapter 2.

Y. Davis Geometry Notes Chapter 2.

Chapter 2 Reasoning and Proof.

Chapter 2.3 Notes: Apply Deductive Reasoning

Reasoning and Proofs Deductive Reasoning Conditional Statement

Section 3-6 Inductive Reasoning.

Angles, Angle Pairs, Conditionals, Inductive and Deductive Reasoning

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

Consider the following TRUE conditional statement…

Presentation transcript:

Definitions © 2006 by Mr. Mayers Reasoning Conditional Statements Properties Undefined Terms Symmetry Team 1Team 2Team 3Team

What is the difference between an axiom and a theorem? Back Axiom-statement accepted as fact Theorem - statement proven based on fact

What type of reasoning is used? Back Inductive Reasoning Every Wednesday we have a checklist in Geometry. It’s Wednesday. We are going to have a checklist.

Identify the hypothesis: If I graduate from Simon Tech, then I go to college. Back I graduate from Simon Tech

What property says A=A? Back Reflexive

Back Answers may vary. Name four points that are coplanar.

Back Name what type(s) of symmetry. Reflectional (2 lines of symmetry) and Rotational (2-fold)

What is reflectional symmetry? Back When one shape becomes congruent to another when you flip it along a line of symmetry

Use inductive reasoning to find what comes next in the sequence 0, 2, 5, 9, 14, _______, _______ Back 20, 27

Write the following statement in “if-then” form. “Every Simon Tech student goes to college.” Back If you’re a Simon Tech student, then you go to college.

Back Which of the following is a counterexample to this statement: If you live in Los Angeles, then you live in Lynwood. A. Someone who lives in Compton B. Someone who lives in New York City C. Someone who lives in Texas D. Someone who lives in San Francisco A

Back RT or RQ or TQ or h Name a line that contains points R and T.

Back Name what type(s) of symmetry. Rotational (4-fold)

What is the difference between a conditional statement and its contrapositive? Back Same validity, but conditional is If P then Q, contrapositive is If not Q then not P.

What can we conclude using deductive reasoning. Back Andrea studied. If Andrea does not study for the test, she will not pass. Andrea passed the test.

Write the inverse. “If you like chocolate, then you like cheesecake.” Back If you don’t like chocolate then you don’t like cheesecake.

Back Which property is used? Mike is taller than Angela. Mario is taller than Mike. Therefore, Mario is taller than Angela. Transitive Property

Back Name a ray that starts at the intersection and continues left MA or MC

Back Name what type(s) of symmetry None

Back Prove a statement false, Fit the hypothesis but not the conclusion. What does a counterexample have to do?

What type of reasoning is used? Back Deductive reasoning. If it rains, we will stay inside. If we stay inside, we will make pizza. It is raining. Therefore, we will make pizza.

Back If it’s a rectangle then it’s a square. Write the converse: If it’s a square, then it’s a rectangle.

Back What is another name for the Transitive Property? Law of Syllogism

Back How many planes contain the point L? 3

Back Name what type(s) of symmetry. Rotational (2-fold)

Name the law: If a conditional statement is true and its hypothesis is true, then its conclusion is true. Back Law of Detachment

What other statement must be true if the following statement is true? “If it is Friday, we will have an auction.” Back If we don’t have an auction, it is not Friday.

Which statement always has the same truth value as the converse? Back Inverse

Back If a=b, then b=a. In logic, if P  Q (conditional), then Q  P (converse). Together, biconditional Describe the Symmetric Property.

Back Name a point that is collinear to point N. P or R or M

Back Write a statement that your whole group is a counterexample to.