Chapter 2: Geometric Reasoning SECTION 3: USING DEDUCTIVE REASONING TO VERIFY CONJECTURES Megan...

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Chapter 2: Geometric Reasoning SECTION 3: USING DEDUCTIVE REASONING TO VERIFY CONJECTURES Megan Frantz Okemos High School Math Instructor

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Transcript of Chapter 2: Geometric Reasoning SECTION 3: USING DEDUCTIVE REASONING TO VERIFY CONJECTURES Megan...

Page 1: Chapter 2: Geometric Reasoning SECTION 3: USING DEDUCTIVE REASONING TO VERIFY CONJECTURES Megan FrantzOkemos High SchoolMath Instructor.

Chapter 2: Geometric Reasoning SECTION 3: USING DEDUCTIVE REASONING TO VERIFY CONJECTURES

Megan Frantz Okemos High School Math Instructor

Page 2: Chapter 2: Geometric Reasoning SECTION 3: USING DEDUCTIVE REASONING TO VERIFY CONJECTURES Megan FrantzOkemos High SchoolMath Instructor.

I Can

Apply the LAW OF DETACTMENT in logical reasoning

Apply the LAW OF SYLLOGISM in logical reasoning

Page 3: Chapter 2: Geometric Reasoning SECTION 3: USING DEDUCTIVE REASONING TO VERIFY CONJECTURES Megan FrantzOkemos High SchoolMath Instructor.

Deductive Reasoning Deductive reasoning is the process of using logic to draw conclusions from given facts, definitions and properties

Page 4: Chapter 2: Geometric Reasoning SECTION 3: USING DEDUCTIVE REASONING TO VERIFY CONJECTURES Megan FrantzOkemos High SchoolMath Instructor.

Inductive vs. Deductive Reasoning

Page 5: Chapter 2: Geometric Reasoning SECTION 3: USING DEDUCTIVE REASONING TO VERIFY CONJECTURES Megan FrantzOkemos High SchoolMath Instructor.

Inductive or Deductive?

Page 6: Chapter 2: Geometric Reasoning SECTION 3: USING DEDUCTIVE REASONING TO VERIFY CONJECTURES Megan FrantzOkemos High SchoolMath Instructor.

Law of Detachment

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Using the Law of Detachment

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Using the Law of Detachment

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Law of Syllogism

http://youtu.be/h-mojsXDN_U
Page 10: Chapter 2: Geometric Reasoning SECTION 3: USING DEDUCTIVE REASONING TO VERIFY CONJECTURES Megan FrantzOkemos High SchoolMath Instructor.

Using the Law of Detachment

Page 11: Chapter 2: Geometric Reasoning SECTION 3: USING DEDUCTIVE REASONING TO VERIFY CONJECTURES Megan FrantzOkemos High SchoolMath Instructor.

Using the Law of Syllogism

Page 12: Chapter 2: Geometric Reasoning SECTION 3: USING DEDUCTIVE REASONING TO VERIFY CONJECTURES Megan FrantzOkemos High SchoolMath Instructor.

Using the Law of Syllogism

Page 13: Chapter 2: Geometric Reasoning SECTION 3: USING DEDUCTIVE REASONING TO VERIFY CONJECTURES Megan FrantzOkemos High SchoolMath Instructor.

Using the Laws of Deductive Reasoning

Page 14: Chapter 2: Geometric Reasoning SECTION 3: USING DEDUCTIVE REASONING TO VERIFY CONJECTURES Megan FrantzOkemos High SchoolMath Instructor.

I Can

Apply the LAW OF DETACTMENT in logical reasoning

Apply the LAW OF SYLLOGISM in logical reasoning


Beautiful Conjectures

Beautiful Conjectures

2.2 Deductive Reasoning Objective: I CAN use inductive and deductive reasoning to make and defend conjectures. 1 Serra - Discovering Geometry Chapter.

2.2 Deductive Reasoning Objective: I CAN use inductive and deductive reasoning to make and defend conjectures. 1 Serra - Discovering Geometry Chapter.

2-3 Using Deductive Reasoning to Verify Conjectures Using ......Holt McDougal Geometry 2-3 Using Deductive Reasoning to Verify Conjectures The given statement “The area of ∆PQR

2-3 Using Deductive Reasoning to Verify Conjectures Using ......Holt McDougal Geometry 2-3 Using Deductive Reasoning to Verify Conjectures The given statement “The area of ∆PQR

Mrs. McConaughyGeometry1 Patterns and Inductive Reasoning During this lesson, you will use inductive reasoning to make conjectures.

Mrs. McConaughyGeometry1 Patterns and Inductive Reasoning During this lesson, you will use inductive reasoning to make conjectures.

1.1 Patterns and Inductive Reasoning. Objectives/Assignment: Find and describe patterns. Use inductive reasoning to make real- life conjectures.

1.1 Patterns and Inductive Reasoning. Objectives/Assignment: Find and describe patterns. Use inductive reasoning to make real- life conjectures.

BEILINSON’S CONJECTURES

BEILINSON’S CONJECTURES

Class Notes Ch. 2 Introduction to Logical Reasoning, Algebraic and Geometric Proofs, and Angle Conjectures Ch. 4 Triangle Conjectures.

Class Notes Ch. 2 Introduction to Logical Reasoning, Algebraic and Geometric Proofs, and Angle Conjectures Ch. 4 Triangle Conjectures.

Holt McDougal Geometry 2-1 Using Inductive Reasoning to Make Conjectures Students will… Use inductive reasoning to identify patterns and make conjectures.

Holt McDougal Geometry 2-1 Using Inductive Reasoning to Make Conjectures Students will… Use inductive reasoning to identify patterns and make conjectures.

Unit 4 Organizer: - Compton Coaches · Web view2009/08/03  · Recognize reasoning and proof as fundamental aspects of mathematics. Make and investigate mathematical conjectures.

Unit 4 Organizer: - Compton Coaches · Web view2009/08/03  · Recognize reasoning and proof as fundamental aspects of mathematics. Make and investigate mathematical conjectures.

Holt McDougal Geometry 2-1 Using Inductive Reasoning to Make Conjectures 2-1 Using Inductive Reasoning to Make Conjectures Holt Geometry Warm Up Warm Up.

Holt McDougal Geometry 2-1 Using Inductive Reasoning to Make Conjectures 2-1 Using Inductive Reasoning to Make Conjectures Holt Geometry Warm Up Warm Up.

2.1 Inductive Reasoning Objectives: I CAN use patterns to make conjectures. disprove geometric conjectures using counterexamples. 1 Serra - Discovering.

2.1 Inductive Reasoning Objectives: I CAN use patterns to make conjectures. disprove geometric conjectures using counterexamples. 1 Serra - Discovering.

Chapter 2: Reasoning and ProofYou will investigate how doctors use reasoning in Lesson 2-4. • Lessons 2-1 through 2-3 Make conjectures, determine whether a statement is true or false,

Chapter 2: Reasoning and ProofYou will investigate how doctors use reasoning in Lesson 2-4. • Lessons 2-1 through 2-3 Make conjectures, determine whether a statement is true or false,

CONFIDENTIAL 1 Geometry Using Deductive Reasoning to Verify Conjectures.

CONFIDENTIAL 1 Geometry Using Deductive Reasoning to Verify Conjectures.

Failures, Conjectures & Closure

Failures, Conjectures & Closure

Holt McDougal Geometry 2-3 Using Deductive Reasoning to Verify Conjectures 2-3 Using Deductive Reasoning to Verify Conjectures Holt Geometry Warm Up Warm.

Holt McDougal Geometry 2-3 Using Deductive Reasoning to Verify Conjectures 2-3 Using Deductive Reasoning to Verify Conjectures Holt Geometry Warm Up Warm.

Mathematical Reasoning - Quebec...Using mathematical reasoning involves making conjectures and criticizing, justifying or refuting a proposition by applying an organized body of mathematical

Mathematical Reasoning - Quebec...Using mathematical reasoning involves making conjectures and criticizing, justifying or refuting a proposition by applying an organized body of mathematical

FOM 11 1.1 Making Conjectures: Inductive Reasoning · FOM 11 1.3 Using Reasoning to Find A Counterexample to a Conjecture We know that inductive reasoning can lead to a conjecture,

FOM 11 1.1 Making Conjectures: Inductive Reasoning · FOM 11 1.3 Using Reasoning to Find A Counterexample to a Conjecture We know that inductive reasoning can lead to a conjecture,

2-1 Using Inductive Reasoning to Make Conjectures Using ...

2-1 Using Inductive Reasoning to Make Conjectures Using ...

2017–18 Mathematics Interim Assessment Blocks BlueprintB. Construct, autonomously, chains of reasoning that will justify or refute propositions or conjectures. E. Distinguish correct

2017–18 Mathematics Interim Assessment Blocks BlueprintB. Construct, autonomously, chains of reasoning that will justify or refute propositions or conjectures. E. Distinguish correct

Darien K-5 Math Instruction. Students will –use models –make conjectures –critique and apply the reasoning of others –persevere –share strategies –know.

Darien K-5 Math Instruction. Students will –use models –make conjectures –critique and apply the reasoning of others –persevere –share strategies –know.