Inductive Reasoning Check In

Which of the following is the basis for inductive reasoning?

• definitions and accepted properties

• facts and rules

• laws of logic

• observed patterns

Tags

CCSS.4.OA.C.5

Which examples would support the conjecture that the sum of an even integer and an odd integer will be odd? Check all that apply.

• 2 + 5 = 7

• -3 + 4 = 1

• 6 + -9 = -3

• There are only counterexamples.

Tags

CCSS.6.NS.C.7C

For a conjecture to be true, it must be true...

• in most cases.

• in all cases.

• on Thursday mornings.

• at least once.

Tags

CCSS.HSS.IC.A.1

The table shows the average weights of several subspecies of tigers. What conjecture can you make about the relation between the weights of female tigers and the weights of male tigers?

• Female tigers weigh more than male tigers.

• Male tigers weigh more than female tigers.

• Male and female tigers have equal weights.

Tags

CCSS.8.SP.A.1

What is a counterexample?

• A generalism that cannot be applied to a specific case

• A specific case that help to prove a conjecture

• A general case that is supported by specific examples

• A specific case for which a conjecture is false

In order to prove a conjecture false, ...

• you need only one counterexample.

• you need several counterexamples.

• you need to show all cases are false.

Using the statements:
If it is Friday, then I will get paid.
It is Friday.
What is the conclusion?

• It is not Friday
• It is Friday
• I will not get paid
• I will get paid

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

What conclusion can be drawn from the following statements?
If the stereo is on, then the volume is loud.  
If the volume of the stereo is loud, then the neighbors will complain.

• If the neighbors complain, then the stereo will be loud.
• If the stereo is on, then the neighbors will complain.
• If the stereo is volume is loud, then the stereo is on.
• If the stereo is on, then the volume is loud.

Find the next number in the sequence.
1, -1, 2, -2, 3, ___

• 4
• -4
• 3
• -3

Tags

CCSS.4.OA.C.5

Complete the conjecture.
The sum of two negative numbers is ___________.

• positive
• negative
• odd
• even

Tags

CCSS.7.EE.A.1