Logic Review

What is a counterexample?

• A generalism that cannot be applied to a specific case

• A specific case that help to prove a conjecture is true

• A general case that is supported by specific examples

• A specific case for which a conjecture is false

The type of reasoning where a person makes  conclusions based on observations and patterns is called...

• Inductive reasoning
• Deductive reasoning
• Conjecture
• Experiments

To fully disprove a conjecture, one needs to find only ONE counterexample.

• True

• False

Tags

CCSS.L.11-12.4C

CCSS.L.6.4C

CCSS.L.7.4C

CCSS.L.8.4C

CCSS.L.9-10.4C

Which options make the most sense?

If an object is ________, then it is _______

• Glass, fragile

• Stone, fragile

• Green, blue

• fragile, glass

Answer explanation

If you picked "fragile, glass" remember that just because an object is fragile, doesnt necessarily mean that it is made of glass. It could be made of crystal!

Tags

CCSS.RI.11-12.5

CCSS.RI.6.5

CCSS.RI.7.5

CCSS.RI.8.5

CCSS.RI.9-10.5

Which of the following is true about the conditional statement below?

If you are flying, then you are in a

jet.

• Hypothesis: you are flying

  Conclusion: you are in a

  jet

• Hypothesis: IF you are flying

  Conclusion: THEN you are in a

  jet

• Hypothesis: THEN you are in a

  jet

  Conclusion: IF you are flying

• Hypothesis: you are in a

  jet

  Conclusion: you are flying

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Which of the following is the CONVERSE of the statement below?

If an object is a ring, then it is

made of gold.

• If an object is made of gold, then it is a ring.

• If an object is not a ring, then it is not made of god.

• If an object is not made of gold, then it is not a ring.

• There is no converse of the statement.

Which of the following is the CONVERSE of the statement below?

If an object is a bird, then it can fly.

• If an object can fly, then it is a bird.

• If an object is not a bird, then it cannot fly

• If an object cannot fly, then it is not a bird

• There is no converse of the statement

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Which of the following is the CONVERSE of the statement below?

If you play football, then you wear

a uniform.

• If you wear a uniform, then you play football.

• If you do not play football, then you do not wear a uniform.

• If you do not wear a uniform, then you do not play football.

• There is no converse of the statement.

Tags

CCSS.RL.11-12.9

CCSS.RL.6.3

CCSS.RL.7.3

CCSS.RL.8.3

CCSS.RL.9-10.3

Which of the following is the INVERSE of the statement below?

If an object is a computer, then it

has a hard drive.

• If an object is not a computer, then it does not have a hard drive.

• If an object does not have a hard drive, then it is not a computer.

• If an object has a hard drive, then it is a computer.

• There is no inverse of the statement.

Which of the following is the INVERSE of the statement below?

If an animal is black and white,

then it is a penguin.

• If an animal is not black and white, then it is not a penguin

• If an animal is a penguin, then it is black and white.

• If an animal is not a penguin, then it is not black and white.

• There is no inverse of the statement.

Tags

CCSS.L.1.1J

CCSS.L.2.1F

CCSS.L.4.1C