Unit 3 Vocabulary

What is inductive reasoning?

• Using facts, rules, and definitions to reach logical conclusions

• Using specific examples to reach a plausible generalization

• A statement accepted as true without proof

• A step-by-step explanation using theorems

Tags

CCSS.HSG.CO.C.11

What is a conjecture?

• A proven statement

• An example that disproves a statement

• An educated guess based on known information

• A formal proof

Tags

CCSS.L.7.6

CCSS.L.8.6

CCSS.L.9-10.6

CCSS.W.8.2D

CCSS.W.9-10.2D

Which of the following best defines a counterexample?

• A statement accepted without proof

• An example that shows a statement is not true

• A logical conclusion based on facts

• A step-by-step explanation

Deductive reasoning is:

• Using specific examples to make a generalization

• Using facts, rules, definitions, or properties to reach logical conclusions

• An informal proof

• An educated guess

What does validity mean in the context of reasoning?

• A statement accepted without proof

• A statement deduced or inferred based on facts or evidence

• An example that disproves a statement

• A group of sentences explaining a conjecture

Tags

CCSS.L.7.6

CCSS.L.8.6

CCSS.L.9-10.6

CCSS.W.7.2D

CCSS.W.8.2D

A conditional statement is best described as:

• A statement that must be proven

• A sentence stating if something is true, then something else is true

• An example that disproves a statement

• A formal proof

In a conditional statement, what is the hypothesis?

• The part following "then"

• The part following "if"

• The conclusion of the proof

• The example used to disprove

Tags

CCSS.L.7.6

CCSS.L.8.6

CCSS.L.9-10.6

CCSS.W.8.2D

CCSS.W.9-10.2D

What is the conclusion in a conditional statement?

• The part following "if"

• The part following "then"

• The example used to disprove

• The group of sentences explaining a conjecture

Tags

CCSS.L.7.6

CCSS.L.8.6

CCSS.W.7.2D

CCSS.W.8.2D

CCSS.W.9-10.2D

How is the converse of a conditional statement formed?

• By negating both the hypothesis and conclusion

• By interchanging the hypothesis and conclusion

• By proving the statement

• By providing a counterexample

What is another name for an axiom?

• Conjecture

• Postulate or theorem

• Counterexample

• Hypothesis

Tags

CCSS.L.7.6

CCSS.L.8.6

CCSS.W.7.2D

CCSS.W.8.2D

CCSS.W.9-10.2D