Honors Geometry Intro to Proof.

Slides:



Advertisements
Similar presentations
Geometry Chapter 2 Terms.
Advertisements

Introduction to Geometry – Postulates and Theorems
1 Valid and Invalid arguments. 2 Definition of Argument Sequence of statements: Statement 1; Statement 2; Therefore, Statement 3. Statements 1 and 2 are.
Flowchart and Paragraph Proofs
1. If the measures of two angles are ?, then the angles are congruent. 2. If two angles form a ?, then they are supplementary. 3. If two angles are complementary.
2-7 Flow Proofs.
Philosophy 120 Symbolic Logic I H. Hamner Hill CSTL-CLA.SEMO.EDU/HHILL/PL120.
TR1413: Discrete Mathematics For Computer Science Lecture 3: Formal approach to propositional logic.
So far we have learned about:
2.1 Demonstrative Geometry Proofs (page 46)
Postulates and Paragraph Proofs
Chapter 2 Properties from Algebra
Postulates and Paragraph Proofs
How to do a Proof Using Uno!. What does it mean to prove something? PROOF (pruf) –noun 1. evidence sufficient to establish a thing as true, or to produce.
Introduction to Geometric Proof Logical Reasoning and Conditional Statements.
What are the first postulates used in geometry proofs? Aim: Do Now:
Mathematics What is it? What is it about?. Terminology: Definition Axiom – a proposition that is assumed without proof for the sake of studying the consequences.
1.1 Introduction to Inductive and Deductive Reasoning
Honors Geometry Intro. to Deductive Reasoning. Reasoning based on observing patterns, as we did in the first section of Unit I, is called inductive reasoning.
Flowchart and Paragraph Proofs. Flowchart Proof - A style of proof that uses boxes and arrows to show the structure of the proof. A flowchart proof should.
Proving statements about angles
Postulates and Paragraph Proofs Section 2-5.  postulate or axiom – a statement that describes a fundamental relationship between the basic terms of geometry.
Warm Up Complete each sentence.
Today’s Topics Introduction to Proofs Rules of Inference Rules of Equivalence.
How to Structure a Proof. A Few Guidelines for Creating a Two-Column Proof Copy the drawing, the given, and what you want to prove. Make a chart containing.
Geometry 9/5/14 - Bellwork.
Lesson: 15 – 4 Preparing for Two-Column Proofs
Proving Angles Congruent Chapter 2 Section 6. Theorem A conjecture or statement that you can prove true. You can use given information, definitions, properties,
Lesson 2 – 5 Postulates and Paragraph Proofs
Holt Geometry 2-6 Geometric Proof Warm Up Determine whether each statement is true or false. If false, give a counterexample. 1. It two angles are complementary,
Logic and Proof Day 5. Day 5 Math Review Goals/Objectives Review properties of equality and use them to write algebraic proofs. Identify properties of.
3-3: Parallel Lines & Angles Unit 3: Geometry English Casbarro.
Aim: Do Now: 1)You stand in front of a full-length mirror. How tall is your reflection? 2)Frank is the same age as Javier. Javier is the same age as Patricia.
2.5 Postulates and Proofs GEOMETRY. Postulate (axiom)- a statement that is accepted as true without proof 2.1: Through any two points, there is exactly.
Mathematical Induction Thinking Skill: Develop Confidence in Reason Warm Up: Find the k+1 term (P k+1 ) 1) 2)
 You will be able to use theorems and definitions to find the measures of angles.  You will be able to use theorems and definitions to write a formal.
Lesson: Pages: Objectives: 2.6 Using Proof 92 – 94  To Learn the Midpoint Theorem  To Describe Properties Used in Proofs  To Learn Required Elements.
INTRO TO PROOFS  2 Types:  Paragraph Proofs Two Column Proofs - Mostly what we will be using in geometry.
Intro to Proofs Unit IC Day 2. Do now Solve for x 5x – 18 = 3x + 2.
Holt McDougal Geometry 2-7 Flowchart and Paragraph Proofs 2-7 Flowchart and Paragraph Proofs Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation.
Proving Angles Congruent Chapter 2: Reasoning and Proof1 Objectives 1 To prove and apply theorems about angles.
Objectives Write flowchart and paragraph proofs.
Reasoning and Proof Unit 2.
Chapter 2 Deductive Reasoning
Flowchart and Paragraph Proofs
Flowchart and Paragraph Proofs
Warm Up Complete each sentence.
2.6 Geometric Proof Objectives: Vocabulary: Write two-column proofs.
2.3 Proving Theorems Midpoint & Angle Bisector Theorem
Flowchart and Paragraph Proofs
Flowchart and Paragraph Proofs
Flowchart and Paragraph Proofs
Warm up: pick up a half sheet!
Introduction to Geometry – Postulates and Theorems
Postulates and Theorems
Flowchart and Paragraph Proofs
Prove Statements about Segments and Angles
Flowchart and Paragraph Proofs
Bell Work: The Number Game!
Flowchart and Paragraph Proofs
Flowchart and Paragraph Proofs
Objectives Write flowchart and paragraph proofs.
Flowchart and Paragraph Proofs
An Ideal Euclidean Model
1.1 Introduction to Inductive and Deductive Reasoning
Lesson 6.1 Congruent Segments pp
Chapter 2: Geometric Reasoning
Learner Objective: Students will write simple two column proofs.
 congruent complement and supplement theorems. Opener: Given:
Presentation transcript:

Honors Geometry Intro to Proof

Honors Geometry What does it mean to “prove” something? Work with your elbow partner to come up with a working definition. Be prepared to share!

Honors Geometry “Prove” – to establish the truth or validity of by evidence or demonstration

Honors Geometry “Prove” – to establish the truth or validity of by evidence or demonstration “Proof” – the process of or an instance of establishing the validity of a statement especially by derivation from other statements in accordance with accepted or stipulated principles of reasoning

Honors Geometry Two-Column proof deductive reasoning General to specific Prove statements by reasoning from postulates, definitions, theorems, and given information Also Paragraph proof and Flowchart proof coming soon!

Honors Geometry Reason (-ing): Statement offered in explanation or justification

Honors Geometry Reason (-ing): Statement offered in explanation or justification Valid: Conclusion correctly derived from premises

Honors Geometry Reason (-ing): Statement offered in explanation or justification Valid: Conclusion correctly derived from premises Derive (d, -ation): a sequence of statements showing that a result is a necessary consequence of previously accepted statements