Warm up: Inductive Reasoning and Conditional Statements

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

• Inductive reasoning
• Deductive reasoning
• Conjecture
• Experiments

What is a conjecture?

• A statement believed to be true based on observations.
• An example which disproves an hypothesis.
• the performance of tricks that are seemingly magical

Tags

CCSS.RI.11-12.2

CCSS.RI.8.1

CCSS.RI.9-10.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Used to prove that a conjecture is false.

• Counterexample
• Inductive Reasoning
• Concluding statement
• Conjecture

Tags

CCSS.HSG.CO.C.11

Which number is a counterexample to the following statement? : 
All numbers that are divisible by 2 are divisible by 4

• 0
• 12
• 28
• 42

Tags

CCSS.5.OA.B.3

Given the following observation--Each day, you get to school before your friend--what conjecture can you make?

• You arrived at school before your friend yesterday.

• You will get home before your friend.

• You will arrive at school before your friend tomorrow.

• You need a new friend.

Tags

CCSS.RI.8.1

CCSS.RI.9-10.1

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

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

If a man is 7 feet tall, then he plays basketball.

• Hypothesis: a man is 7 feet tall

  Conclusion: he plays basketball

• Hypothesis: IF a man is 7 feet tall

  Conclusion: THEN he plays basketball

• Hypothesis: THEN he plays basketball

  Conclusion: IF a man is 7 feet tall

• Hypothesis: he plays basketball

  Conclusion: a man is 7 feet tall

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

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.7.1

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.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

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.

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