1.1Patterns and Inductive Reasoning
Quick Answer
Inductive reasoning draws general conclusions from specific examples. A conjecture is a conclusion based on a pattern. A counterexample is one example that disproves a conjecture.
Essential Question
How does inductive reasoning help us form conjectures, and why is one counterexample enough to disprove a conjecture?
Learning Goals
- 1Identify patterns in sequences and figures.
- 2Make conjectures using inductive reasoning.
- 3Find counterexamples to disprove conjectures.
- 4Distinguish inductive from deductive reasoning.
Key Vocabulary
Inductive reasoning
Drawing a general conclusion from specific examples or patterns.
Conjecture
A conclusion based on inductive reasoning; not yet proven.
Counterexample
A specific example that proves a conjecture false.
Full lesson content coming soon
Worked examples, guided practice problems, a workbook, quiz, and downloadable PDF resources will be added to this lesson in Phase 2. The learning goals and vocabulary above reflect the complete lesson scope.