2.1 Patterns and Inductive Reasoning

Slides:



Advertisements
Similar presentations
Entry task 1) What can be concluded from the following pattern? = 15 = 3 × = 20 = 4 × = 25 =
Advertisements

Sec 2-1 Concept: Use Inductive Reasoning Objectives: Given a pattern, describe it through inductive reasoning.
Geometry Section 1.1 Patterns and Inductive Reasoning
1-1 Patterns and Inductive Reasoning
P. 6: 1 – 6, 11, 30, 31, 44 p. 91: 2, 21, 22, 33 – 35.
Notes 1.1.
Inductive Reasoning.  Reasoning based on patterns that you observe  Finding the next term in a sequence is a form of inductive reasoning.
Inductive and Deductive Reasoning Geometry 1.0 – Students demonstrate understanding by identifying and giving examples of inductive and deductive reasoning.
Honors Geometry Section 1.0 Patterns and Inductive Reasoning
Patterns and Inductive Reasoning
Using Patterns and Inductive Reasoning Geometry Mr. Zampetti Unit 1, Day 3.
Title of Lesson: Patterns and Inductive Reasoning Section: 1.1Pages: 3-9.
Geometry Notes 1.1 Patterns and Inductive Reasoning
Chapter 5: Graphs & Functions 5.7 Describing Number Patterns.
2-1 Patterns and Inductive Reasoning. Inductive Reasoning: reasoning based on patterns you observe.
Unit 2 Part 1 Conditional, Converse, Inverse, and Contra- Positive Statements.
C HAPTER 1 T OOLS OF G EOMETRY Section 1.1 Patterns and Inductive Reasoning.
Lesson 1-1: Patterns & Inductive Reasoning
Conditional Statements Chapter 2 Section 2. Conditional Statement A statement where a condition has to be met for a particular outcome to take place More.
1 1-1 Patterns and Inductive Reasoning Objectives: Define: –Conjectures –Inductive reasoning –Counterexamples Make conjectures based on inductive reasoning.
Mrs. McConaughyGeometry1 Patterns and Inductive Reasoning During this lesson, you will use inductive reasoning to make conjectures.
Review and 1.1 Patterns and Inductive Reasoning
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.
Unit 01 – Lesson 08 – Inductive Reasoning Essential Question  How can you use reasoning to solve problems? Scholars will  Make conjectures based on inductive.
Logic Inductive Reasoning Reasoning based on patterns you observe Example: What is the next number in the sequence 2, 4, 6, 8…?
Review Examples. 1.1 Patterns and Inductive Reasoning “Our character is basically a composite of our habits. Because they are consistent, often.
Section 2.2 Inductive and Deductive Reasoning. Definition: Conjecture an unproven statement that is based on observations or given information.
Copyright 2013, 2010, 2007, Pearson, Education, Inc. Section 1.1 Inductive Reasoning.
Lesson 1.2 Inductive Reasoning Pages Observe Look for patterns Develop a hypothesis (or conjecture) Test your hypothesis.
Megan FrantzOkemos High School Math Instructor.  Use inductive reasoning to identify patterns and make conjectures.  Determine if a conjecture is true.
1 LESSON 1.1 PATTERNS AND INDUCTIVE REASONING. 2 Objectives To find and describe patterns. To use inductive reasoning to make conjectures.
2.1 Using Inductive Reasoning to Make Conjectures.
LG 1: Logic A Closer Look at Reasoning
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:
Entry Task P. 82 – Blue Box LT: I can observe patterns and reach a conclusion based on those patterns.
Patterns and Inductive Reasoning. Inductive reasoning is reasoning that is based on patterns you observe. If you observe a pattern in a sequence, you.
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
1-1 Patterns and Inductive Reasoning
3 – 6 Inductive Reasoning.
2-1 Patterns and Inductive Reasoning
2.1 – Use Inductive Reasoning
Find a pattern for each sequence
Geometry Chapter 2 REASONING and PROOF.
Inductive & Deductive Reasoning Postulates & Diagrams
Inductive Reasoning.
Five step procedure for drawing conclusions.
Warmup (Short Answer) Go into Socrative App
Patterns and Inductive Reasoning
Chapter 2: Reasoning in Geometry
Conditional Statements
2-1 Inductive Reasoning.
2.1-2 Inductive Reasoning and Conditional Statements
1.1 Patterns and Inductive Reasoning
Logic & Reasoning.
2.1 Inductive Reasoning Objectives:
PATTERNS AND INDUCTIVE REASONING
Notes 2.1 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
2-1 Inductive Reasoning and Conjecture
4.2 Using Inductive Reasoning
1-4 Inductive reasoning Homework: 4-6, 10-14,
Presentation transcript:

2.1 Patterns and Inductive Reasoning

Inductive Reasoning is reasoning based on patterns that you observe. Basically it is a conclusion or statement that you can make with confidence because of previous patterns that you have investigated. A conjecture is the conclusion that you make through inductive reasoning.

Counterexample A counterexample is an example that shows that conjecture is false or incorrect. For example: If the ground is wet, then it is raining. One could find several examples that would make this conjecture incorrect.

Homework Section 2.1 in MathXL