Inductive and Deductive Reasoning Challenge

The video introduces section 1.1 on inductive and deductive reasoning, emphasizing the role of critical thinking and math in personal and professional life. It explains inductive reasoning through examples, highlighting how conjectures are formed and counterexamples can disprove them. The video also covers pattern recognition using inductive reasoning with number and shape sequences. Finally, it introduces deductive reasoning, explaining how conclusions are drawn from known facts, using a practical example involving college freshmen and math courses.

What is one key skill that separates humans from other species?

• Ability to swim

• Ability to think critically

• Ability to run fast

• Ability to fly

How does math help in your career?

• It makes you taller

• It increases your career choices

• It helps you travel more

• It makes you more popular

What is inductive reasoning?

• Drawing conclusions based on guesses

• Drawing conclusions based on emotions

• Drawing conclusions based on facts

• Drawing conclusions based on experiences

What is a counterexample in inductive reasoning?

• A supporting example

• An example that disproves a conjecture

• An irrelevant example

• A repeated example

What is the sum of 22 and 10?

• 30

• 32

• 34

• 36

What pattern do the numbers 2, 4, 8, 16, 32 follow?

• They are all doubling

• They are all multiples of 3

• They are all odd numbers

• They are all prime numbers

What is deductive reasoning?

• Drawing conclusions based on emotions

• Drawing conclusions based on experiences

• Drawing conclusions based on guesses

• Drawing conclusions based on facts

What is a theorem in deductive reasoning?

• A guess

• A conclusion

• A fact

• A conjecture

If all college freshmen must take math and Alberta Einstein is a freshman, what can we conclude?

• Alberta Einstein must take math

• Alberta Einstein can skip math

• Alberta Einstein is a senior

• Alberta Einstein is a teacher

What is the main difference between inductive and deductive reasoning?

• Inductive is based on guesses, deductive is based on emotions

• Inductive is based on emotions, deductive is based on guesses

• Inductive is based on experiences, deductive is based on facts

• Inductive is based on facts, deductive is based on experiences