Topic 1 Lesson 4 - Inductive Reasoning

Front

What is Inductive Reasoning?

Back

Inductive reasoning is a method of reasoning in which a general conclusion is drawn from specific examples or observations.

Front

What is a Conjecture?

Back

A conjecture is a statement or proposition that is believed to be true based on observations but has not yet been proven.

Front

What is a Counterexample?

Back

A counterexample is an example that disproves a conjecture or statement.

Front

How do you use Inductive Reasoning to make predictions?

Back

Inductive reasoning involves observing patterns and making generalizations based on those patterns to predict future outcomes.

Front

What is the difference between Inductive and Deductive Reasoning?

Back

Inductive reasoning makes generalizations based on specific instances, while deductive reasoning starts with a general statement and deduces specific conclusions.

Front

What is the first step in using Inductive Reasoning?

Back

The first step is to observe specific examples or patterns.

Front

How can you prove a conjecture is false?

Back

You can prove a conjecture is false by providing a counterexample.

Front

What is the significance of patterns in Inductive Reasoning?

Back

Patterns help in forming conjectures and making predictions based on observed data.

Front

If you observe that the sun rises in the east every day, what conjecture can you make?

Back

You can conjecture that the sun will rise in the east tomorrow.

Front

What is an example of a conjecture in mathematics?

Back

An example of a conjecture is the statement that the sum of two even numbers is always even.