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# Finding and Describing Patterns

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##### Description:
1.

Define conjecture, inductive reasoning, and counterexample.

2.

Present the stages of reasoning (looking for a pattern, making a conjecture, verifying the conjecture).

3.

Provide examples that demonstrate how to make conjectures from patterns (ex. Describe the pattern in the numbers: 6, 11, 21, 41, 81, 161…).

4.

Provide examples that demonstrate how to use counterexamples to prove a conjecture false.

This packet should help a learner seeking to understand how to use inductive reasoning to find and describe patterns.

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Tutorial

## Introduction to Patterns

This video introduces the concept of patterns.

## Introduction to Inductive Reasoning

This video introduces the concept of inductive reasoning.

Source: tracyp on Guaranteach

## The Stages of Reasoning

This video presents the stages of reasoning: looking for a pattern, making a conjecture, verifying the conjecture. It also introduces the new vocabulary related to finding and describing patterns.

## Important Terms

These terms from the previous video are particularly important in finding and describing patterns:

Conjecture: A guess regarding the nature of a pattern.

Inductive Reasoning: Deriving a general rule from specific cases.

Counterexample: An instance in which a conjecture does not hold true, disproving the conjecture.

## Using Inductive Reasoning to Prove a Statement

This video shows how to use inductive reasoning to verify a conjecture in mathematics.

Source: Triszan on Guaranteach

## Practice Identifying Patterns

This slideshow provides several practice problems learners can use to practice making conjectures from patterns and using counterexamples.