Inductive & Deductive Reasoning Postulates & Diagrams

Slides:

Advertisements

Similar presentations

Sec 2-1 Concept: Use Inductive Reasoning Objectives: Given a pattern, describe it through inductive reasoning.

Advertisements

Geometry Section 1.1 Patterns and Inductive Reasoning

Lesson 4-5 Proving Congruence – ASA, AAS. Ohio Content Standards:

Geometry Vocabulary 1A Geometry, like much of mathematics and science, developed when people began recognizing and describing patterns. In this course,

Honors Geometry Section 1.0 Patterns and Inductive Reasoning

Patterns and Inductive Reasoning

Section 1.1 Inductive Reasoning 1/16. DEDUCTIVE REASONING Two Types of Reasoning INDUCTIVE REASONING 2/16.

Geometry Notes 1.1 Patterns and Inductive Reasoning

1.1 Patterns and Inductive Reasoning

2-1 Patterns and Inductive Reasoning. Inductive Reasoning: reasoning based on patterns you observe.

2.1 Use Inductive Reasoning Describe patterns and use inductive reasoning skills.

EXAMPLE 5 Find a counterexample

1.1 Patterns and Inductive Reasoning. Inductive Reasoning Watching weather patterns develop help forcasters… Predict weather.. They recognize and… Describe.

1 1-1 Patterns and Inductive Reasoning Objectives: Define: –Conjectures –Inductive reasoning –Counterexamples Make conjectures based on inductive reasoning.

Review and 1.1 Patterns and Inductive Reasoning

1.2 Patterns and Inductive Reasoning. Ex. 1: Describing a Visual Pattern Sketch the next figure in the pattern

Lesson 2.1 Use Inductive Reasoning. Describe how to sketch the fourth figure in the pattern. Then sketch the fourth figure. What is your reasoning behind.

1.2 Inductive Reasoning. Inductive Reasoning If you were to see dark, towering clouds approaching what would you do? Why?

1.1 Patterns and Inductive Reasoning

Unit 01 – Lesson 08 – Inductive Reasoning Essential Question  How can you use reasoning to solve problems? Scholars will  Make conjectures based on inductive.

EXAMPLE 1 Describe a visual pattern Describe how to sketch the fourth figure in the pattern. Then sketch the fourth figure. SOLUTION Each circle is divided.

Warm-Up Exercises 1. Find the length of a segment with endpoints A(1, –3) and B(–2, –7). ANSWER (0, –4) 2. If M(4, –3) is the midpoint of RS, and the coordinates.

2.1 Use Inductive Reasoning

Prerequisite Skills VOCABULARY CHECK

1 LESSON 1.1 PATTERNS AND INDUCTIVE REASONING. 2 Objectives To find and describe patterns. To use inductive reasoning to make conjectures.

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

Using Inductive Reasoning to Make Conjectures Geometry Farris 2015.

EXAMPLE 3 Make a conjecture

2.1 Use inductive reasoning You will describe patterns and use inductive reasoning. Essential Question: How do you use inductive reasoning in mathematics?

Section 2.1: Use Inductive Reasoning Conjecture: A conjecture is an unproven statement that is based on observations; an educated guess. Inductive Reasoning:

Explore: The figure shows a pattern of squares made from toothpicks. Use the figure to complete the following. Record your answers. Size of Square Toothpicks.

Patterns and Inductive Reasoning. Inductive reasoning is reasoning that is based on patterns you observe. If you observe a pattern in a sequence, you.

1.0.25, 1, 1 2.0, 3, 8 3.1, 3/2, 2 4.  1/2,  2,  3 1 Warm Up.

Lesson 1-7 Inductive Reasoning. Inductive Reasoning – making conclusions based on patterns you observe. Conjecture – conclusion you reach by inductive.

2-1 Patterns and Inductive Reasoning

2.1 Patterns/Inductive Reasoning

Warm Up 1.) Adds one more side to the polygon. 2.)

Inductive and Deductive Reasoning

1-1 Patterns and Inductive Reasoning

Each term is half the preceding term. So the next two terms are

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

Inductive and Deductive Reasoning

3 – 6 Inductive Reasoning.

Inductive and Deductive Reasoning

2.1 – Use Inductive Reasoning

Warmup Definition: Perpendicular Lines—

Five step procedure for drawing conclusions.

Patterns and Inductive Reasoning

2.1 Patterns and Inductive Reasoning

Chapter 2: Reasoning in Geometry

2.1 Inductive Reasoning Objectives:

PATTERNS AND INDUCTIVE REASONING

Notes 2.1 Inductive Reasoning.

Patterns & Inductive Reasoning

Patterns and Inductive Reasoning

Patterns and Inductive Reasoning

Proving Congruence – SSS, SAS

Patterns and Inductive Reasoning

Lesson 1-1 Patterns and Inductive Reasoning

2-1: Use Inductive reasoning

2.1 Use Inductive Reasoning

2-1 Use Inductive Reasoning

Inductive Reasoning.

Lesson 2.1 Use Inductive Reasoning

1.1 Patterns and Inductive Reasoning

Using Inductive Reasoning to Make Conjectures 2-1

2-1 Inductive Reasoning and Conjecture

Chapter 1 Basics of Geometry.

4.2 Using Inductive Reasoning

Presentation transcript:

Inductive & Deductive Reasoning Postulates & Diagrams 2.2 & 2.3 Inductive & Deductive Reasoning Postulates & Diagrams

What we will learn Use inductive reasoning Use deductive reasoning Identify postulates using diagrams

Example 1 Describing a Visual Pattern

Example 2 Describing a Visual Pattern Sketch the next figure in the pattern

Example 3 Finding a Counterexample A student makes the following conjecture about the sum of two numbers. Find a counterexample to disprove the student’s conjecture. CONJECTURE: The sum of two numbers is always more than the greater number

Example 4 Comparing Inductive and Deductive Reasoning

Example 4 Comparing Inductive and Deductive Reasoning

Example 5 Identifying a Postulate Using a Diagram

Example 5 Identifying a Postulate Using a Diagram