Chapter 1: Inductive & Deductive Reasoning

Chapter 1: Inductive & Deductive Reasoning

Section 1.1: Making Conjectures

 Patterns are used widely in mathematics to reach logical conclusions.

This is called inductive reasoning

Example: Predict the next number in each list

1, 5, 25, 125, __________ -5, -2, 4, 13, ____________ 3, 12, 27, 48, ____________

Inductive Reasoning

Drawing a general conclusion (ie a conjecture) by observing patterns and identifying specific properties in specific examples

Conjecture

Testable hypothesis based on available evidence not yet proven

Conjectures can be tested and those that appear valid allow us to make conclusions

Examples

A math class consists of 20 boys and 10 girls. Can a conjecture be made about the composition of the school?

Conjecture:

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