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

Slides:

Advertisements

Similar presentations

Patterns and Inductive Reasoning Geometry Mrs. Spitz Fall 2005.

Advertisements

1-1 Patterns and Inductive Reasoning

P. 6: 1 – 6, 11, 30, 31, 44 p. 91: 2, 21, 22, 33 – 35.

TODAY IN GEOMETRY…  Warm up: Review concepts covered on Ch. 1 test  STATs for Ch.1 test  Learning Goal: 2.1 You will use patterns and describe inductive.

Inductive Reasoning.  Reasoning based on patterns that you observe  Finding the next term in a sequence is a form of inductive reasoning.

Warm-up August 22, 2011 Evaluate the following expressions.

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

Patterns and Inductive Reasoning

2-1: Inductive Reasoning

Title of Lesson: Patterns and Inductive Reasoning Section: 1.1Pages: 3-9.

Geometry Notes 1.1 Patterns and Inductive Reasoning

1.1 Patterns and Inductive Reasoning

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

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?

Patterns, Inductive Reasoning & Conjecture. Inductive Reasoning Inductive reasoning is reasoning that is based on patterns you observe.

1.1 Patterns and Inductive Reasoning

1.1 – PATTERNS AND INDUCTIVE REASONING Chapter 1: Basics of Geometry.

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

10/5/2015 & 10/6/2015.  Bell Ringer  Patterns & Conjectures  Assignment  Ticket Out  Next Monday, October 12, No school. Teacher work day.

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.

2.1 Use Inductive Reasoning

Review Examples. 1.1 Patterns and Inductive Reasoning “Our character is basically a composite of our habits. Because they are consistent, often.

Lesson 1.2 Inductive Reasoning Pages Observe Look for patterns Develop a hypothesis (or conjecture) Test your hypothesis.

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.

CHAPTER 1 SECTION 2. MAKING A CONJECTURE: A conjecture is an unproven statement that is based on a pattern or observation. Much of the reasoning in geometry.

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.

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

Inductive and Deductive Reasoning

2.1 Inductive Reasoning.

3 – 6 Inductive Reasoning.

2.1 – Use Inductive Reasoning

Inductive & Deductive Reasoning Postulates & Diagrams

2.1 Using Inductive Reasoning to Make Conjectures

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.

2.1-2 Inductive Reasoning and Conditional Statements

1.1 Patterns and Inductive Reasoning

2.1 Inductive Reasoning Objectives:

2.2 Patterns & Inductive Reasoning

PATTERNS AND INDUCTIVE REASONING

Notes 2.1 Inductive Reasoning.

Patterns & Inductive Reasoning

Patterns and Inductive Reasoning

Patterns and Inductive Reasoning

Patterns and Inductive Reasoning

2-1: Use Inductive reasoning

2.1 Use Inductive Reasoning

2-1 Use Inductive Reasoning

Lesson 2.1 Use Inductive Reasoning

1.1 Patterns and Inductive Reasoning

2-1 Inductive Reasoning and Conjecture

Chapter 1 Basics of Geometry.

4.2 Using Inductive Reasoning

1.1 Patterns and Inductive Reasoning

Presentation transcript:

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

Example 1:

Example 2:

Example 3: Find the next number in the pattern 1. 17,15,12,8,…..____= ,7.5,8, 8.5,….____ = 9

3 Stages of Inductive Reasoning in Geometry 1. Look for a pattern 2. Make a conjecture Ø A Conjecture is an unproven statement that is based on observations. 3. Verify the conjecture

Example 4: Sketch the next figure in the pattern 1. 2.

Example 5: Complete the conjecture based on the pattern you observe 1. The sum of any two odd numbers is ____ EVEN Try some examples to see a pattern:

Example 6: Write a function rule relating x and y.

Example 7: Show the conjecture is false by finding a counterexample A counterexample is an example that shows a conjecture is false. 1. If the product of two numbers is positive, then the two numbers must both be positive False: a negative number multiplied by another negative number is a positive number

Todays Work