Inductive Reasoning, Conditionals (Converses, Bi-Conditionals), Deductive Reasoning, and Algebraic Proofs

Inductive reasoning is reasoning based on the following:

• patterns and observations

• given facts

• how to solve an equation

• given statements

Tags

CCSS.L.1.1D

CCSS.L.3.1A

Deductive reasoning is reasoning based on the following:

• patterns and observations

• given facts and statements

• how to solve an equation

• prior knowledge

A ________ is a conclusion reached using inductive reasoning.

• counterexample

• conjecture

• hypothesis

• conditional

Tags

CCSS.L.4.1C

CCSS.L.9-10.1B

To prove a conjecture is false you must provide a __________.

• conjecture

• hypothesis

• counterexample

• converse

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

A ____________ is a statement that can be written in if-then form.

• converse

• conclusion

• bi-conditional

• conditional

The _______________ of a conditional is the phrase immediately following the word if.

• conclusion

• converse

• switch

• hypothesis

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

The _______________ of a conditional is the phrase immediately following the word then.

• conclusion

• converse

• switch

• hypothesis

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

The converse of a conditional is formed by ____________ the hypothesis and conclusion.

• deleting

• switching

• copying

• negating

Tags

CCSS.L.11-12.6

CCSS.L.8.6

CCSS.L.9-10.6

CCSS.W.11-12.2D

CCSS.W.9-10.2D

A ____________ is the combination of a conditional and its converse.

• bi-conditional

• statement

• conjecture

• counterexample

To use the Law of Detachment, the given information must contain ____________ conditional (if-then) statements.

• 0

• 1

• 2

• 4