U4 Station 1 - Logical Statements

What is the first step of inductive reasoning?

• Draw a conclusion

• Justify your answer

• Observe a pattern

• Give a counterexample

Tags

CCSS.HSS.CP.A.5

What is the second step of inductive reasoning?

• Draw a conclusion

• Justify your answer

• Observe a pattern

• Give a counterexample

Tags

CCSS.6.SP.A.3

What is a conjecture?

• A conclusion reached using inductive reasoning

• A conclusion reached using deductive reasoning

• An example that proves a statement is true

• An example that proves a statement is false

What is a counterexample?

• A conclusion reached using inductive reasoning

• A conclusion reached using deductive reasoning

• An example that proves a statement is true

• An example that proves a statement is false

A Biconditional is the conjunction of a _________ and its converse.

• Disjunction

• Compound

• Conditional

• Inverse

P: I study.

Q: I will do well.

Which is the conditional?

• If I study, then I will do well.

• If I do not study, then I will not do well.

• If I do not do well, then I will not study.

• If I study, then I will not do well.

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.8.1

CCSS.RL.9-10.1

CCSS.RL.11-12.1

All chickens that we have seen have been brown; so, all chickens are brown. 

• Deductive
• Inductive

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.8.1

CCSS.RL.9-10.1

CCSS.RI.7.8

All bears are mammals, all mammals have kidneys; therefore all bears have kidneys. 

• Deductive
• Inductive

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.8.1

CCSS.RL.9-10.1

CCSS.RI.7.1

What does deductive reasoning use to form its arguments?

• patterns

• specific cases

• observed examples

• facts, definitions, accepted properties, and laws of logic

Tags

CCSS.L.11-12.6

CCSS.L.8.6

CCSS.L.9-10.6

CCSS.W.8.2D

CCSS.W.9-10.2D

Reasoning based on specific examples and patterns used to form conjectures is called ______________ reasoning.

• Inductive

• Deductive

Tags

CCSS.HSS.ID.C.9