Reasoning Review

Identify the pattern:

70, 60, 50, 40, 30

• 20

• subtract 10

• add 10

• multiply by 10

Tags

CCSS.3.OA.D.9

What is a conjecture?

• conclusion based on inductive reasoning

• an example that proves a statement is incorrect

• an if/then statement

• true statement formed by combining a true conditional statement and true converse statement

What is the next term in the sequence?

• 
• 
• 
• 

Tags

CCSS.4.OA.C.5

Given the following hypothesis and conclusion, write a conditional statement.
hyp.: $m\angle B=154\degree$  
 con.:  $\angle B$  is obtuse

•  $m\angle B=154\degree$ so  $\angle B$  is obtuse.

• If the  $m\angle B=154\degree$ , then  $\angle B$  is obtuse.

• If  $\angle B$  is obtuse, then the  $m\angle B=154\degree$ .

• If it is  $154\degree$ , then it is obtuse.

Is the following conational statement true or false?

"If you go to North Brunswick High School, then your school day ends at 2:30pm."

• True

• False

• False; last Friday

• False; half days end at 12:12pm

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

What is the converse of the following statement?

"If two rays share an endpoint, then they from an angle."

• If two rays form an angle, then they share an endpoint.

• If two rays share an endpoint, then they form an angle.

• Two rays share and endpoint if and only if they form an angle.

• Two rays that share an endpoint form an angle.

Tags

CCSS.HSG.SRT.A.2

What do you need to write a biconditional statement?

• True conditional statement

• True converse statement

• Nothing. Any statement can be written as a biconditional statement.

• True conditional statement and true converse statement

What is the hypothesis of the following conditional statement?

"If I study really hard for the quiz, then I will get a good grade."

• If I study really hard for the quiz

• I study really hard for the quiz

• then I will get a good grade

• I will get a good grade

What is the conclusion of the following conditional statement?

"If I study really hard for the quiz, then I will get a good grade."

• If I study really hard for the quiz

• I study really hard for the quiz

• then I will get a good grade

• I will get a good grade

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

What else do you need to write, if you are saying a conditional statement is false?

• converse statement

• conjecture

• counterexample

• nothing