Download presentation

Presentation is loading. Please wait.

Published byAlexander Donovan Modified over 4 years ago

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

3
Example 1:

4
Example 2:

5
Example 3: Find the next number in the pattern 1. 17,15,12,8,…..____= 3 2. 7,7.5,8, 8.5,….____ = 9

6
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

7
Example 4: Sketch the next figure in the pattern 1. 2.

8
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: 9+3 11+5 -3+-1 -7+3

9
Example 6: Write a function rule relating x and y.

10
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

11
Todays Work

Similar presentations

OK

Chapter 2 2-1 Using inductive reasoning to make conjectures.

Chapter 2 2-1 Using inductive reasoning to make conjectures.

© 2018 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google